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Taking into account the unavoidable uncertainty affecting also the damage characteristics in practical applications, the crack depth is modelled by both a stochastic and an uncertain-but-bounded variable. It follows that the structural beam response becomes a stochastic process or an interval function, respectively. In scientific literature for this kind of uncertainties the statistics as well as the bounds of the structural response are usually evaluated by applying the perturbation approach, whose accuracy is valid only for very small value of uncertainty. Aim of this paper is to provide an alternative procedure developed in the frequency domain: the starting point is the application of the so-called rational series expansion, recently proposed to derive an approximate explicit expression of the frequency response function. The accuracy of the present method is confirmed by analyzing a damaged prismatic cantilever steel beam subjected to an impulsive load. The results in terms of statistics as weel as bounds of the displacement beam tip are reported and compared with the Monte Carlo simulation and the combinatorial vertex method. The effects of the two models for the uncertain crack depth on the dynamic response are also compared in terms of interval bounds and the so-called confidence intervals provided by the stochastic analysis.",{"EN":109,"VI":110},"Dynamics of beams with uncertain crack depth: stochastic versus interval analysis","Động lực học của các dầm có độ sâu vết nứt bất định: phân tích ngẫu nhiên so với phân tích khoảng",{"VOID":112},"Qian GL, Gu SN, Jiang JS (1990) The dynamic behaviour and crack detection of a beam with a crack. J Sound Vib 138(2):233–243\nRuotolo R, Surace C, Crespo P, Storer D (1996) Harmonic analysis of the vibrations of a cantilevered beam with a closing crack. Comput Struct 6:1057–1074\nSaavedra PN, Cuitiño LA (2001) Crack detection and vibration behavior of cracked beams. Comput Struct 79:1451–1459\nCacciola P, Impollonia N, Muscolino G (2003) Crack detection and location in a damaged beam vibrating under white noise. Comput Struct 81:1773–1782\nNahvi H, Jabbari M (2005) Crack detection in beams using experimental modal data and finite element model. Int J Mech Sci 47(10):1477–1497\nTeidj S, Khamlichi A, Driouach A (2016) Identification of beam cracks by solution of an inverse problem. Proced Technol 22:86–93\nCacciola P, Muscolino G (2002) Dynamic response of a rectangular beam with a known non-propagating crack of certain or uncertain depth. Comput Struct 80(27):2387–2396\nOberkampf WL, Helton JC, Sentz K (2001) Mathematical representation of uncertainty. In: 19th AIAA applied aerodynamics conference pp 1–23. http:\u002F\u002Fdx.doi.org\u002F10.2514\u002F6.2001-1645\nDer Kiureghian A, Ditlevsen O (2009) Aleatory or epistemic? Does it matter? Struct Saf 31:105–112. https:\u002F\u002Fdoi.org\u002F10.1016\u002Fj.strusafe.2008.06.020\nGhanem RG, Spanos PD (1991) Stochastic finite elements: a spectral approach. Springer, New York\nElishakoff I, Ren YJ, Shinozuka M (1995) Improved finite element method for stochastic structures. Chaos, Solitons Fractals 5(5):833–846\nMuscolino G, Ricciardi G, Impollonia N (2000) Improved dynamic analysis of structures with mechanical uncertainties under deterministic input. Probab Eng Mech 15:199–212\nImpollonia N, Muscolino G (2002) Static and dynamic analysis of non-linear uncertain structures. Meccanica 37(1):179–192\nJensen H, Iwan WD (1991) Response variability in structural dynamics. Earthq Eng Struct Dyn 20:949–959\nYamazaki F, Shinozuka M, Dasgupta G (1988) Neumann expansion for stochastic finite element analysis. J Eng Mech 114(8):1335–1355\nImpollonia N, Sofi A (2003) A response surface approach for the static analysis of stochastic structures with geometrical nonlinearities. Comput Methods Appl Mech Eng 192:4109–4129\nMoens D, Vandepitte D (2005) A survey of non-probabilistic uncertainty treatment in finite element analysis. Comput Methods Appl Mech Eng 194:1527–1555\nElishakoff I, Ohsaki M (2010) Optimization and anti-optimization of structures under uncertainty. Imperial College Press, London\nBen-Haim Y, Elishakoff I (1990) Convex models of uncertainty in applied mechanics. Elsevier, Amsterdam\nMoore RE (1966) Interval analysis. Prentice-Hall, Englewood Cliffs\nAlefeld G, Herzberger J (1983) Introduction to interval computations. Academic Press, New York\nMoore RE, Kearfott RB, Cloud MJ (2009) Introduction to interval analysis. SIAM, Philadelphia\nMuscolino G, Sofi A (2013) Bounds for the stationary stochastic response of truss structures with uncertain-but-bounded parameters. Mech Syst Signal Process 37:163–181\nMuscolino G, Santoro R, Sofi A (2014) Explicit frequency response functions of discretized structures with uncertain parameters. Comput Struct 133:64–78\nMuscolino G, Santoro R, Sofi A (2014) Explicit sensitivities of the response of discretized structures under stationary random processes. Probab Eng Mech 35:82–95\nMuscolino G, Sofi A (2012) Stochastic response of structures with uncertain-but-bounded parameters via improved interval analysis. Probab Eng Mech 28:152–163\nQiu ZP, Wang XJ (2009) Vertex solution theorem for the upper and lower bounds on the dynamic response of structures with uncertain-but-bounded parameters. Acta Mech Sin 25:367–379\nQiu ZP, Wang XJ (2003) Comparison of dynamic response of structures with uncertain-but-bounded parameters using non probabilistic interval analysis method and probabilistic approach. Int J Solids Struct 40:5423–5439\nMuscolino G, Sofi A, Zingales M (2013) One-dimensional heterogeneous solids with uncertain elastic modulus in presence of long-range interactions: interval versus stochastic analysis. Comput Struct 122:217–229\nMuscolino G, Santoro R (2019) Dynamics of multiple cracked prismatic beams with uncertain-but-bounded depths under deterministic and stochastic loads. J Sound Vib 443:717–731\nBorino G, Muscolino G (1986) Mode-superposition methods in dynamic analysis of classically and non-classically damped linear systems. Earthq Eng Struct Dyn 14:705–717",{"VOID":114},"10.1007\u002Fs11012-019-01024-0","PUBLICATION",[117],"VI","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11012-019-01024-0",[120,136],{"id":121,"sortIndex":22,"researcher":21,"roles":122,"affiliations":124,"properties":133,"displayName":135,"givenName":21,"familyName":21},"c2f0d464-35f3-49a8-8e33-647cfa135355",[123],"AUTHOR",[125],{"id":126,"sortIndex":22,"affiliation":127,"properties":21},"cb749c47-5894-448d-8319-bad4f2b6142e",{"id":126,"createTime":21,"updateTime":21,"relativeEntities":128,"slug":21,"properties":129,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":132,"statistic":21},[],{"title":130},{"VI":131},"Department of Engineering, University of Messina, Messina, Italy",[],{"title":134},{"VI":135},"Roberta Santoro",{"id":137,"sortIndex":138,"researcher":21,"roles":139,"affiliations":140,"properties":147,"displayName":149,"givenName":21,"familyName":21},"5532302c-ece0-4b0e-8061-f795b415d64f",1,[123],[141],{"id":126,"sortIndex":22,"affiliation":142,"properties":21},{"id":126,"createTime":21,"updateTime":21,"relativeEntities":143,"slug":21,"properties":144,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":146,"statistic":21},[],{"title":145},{"VI":131},[],{"title":148},{"VI":149},"Giuseppe Muscolino","ARTICLE",{"url":118,"publisher":152,"properties":197},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":153,"slug":10,"properties":154,"entityType":19,"verifyStatus":20,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":22,"subjectFields":158,"manageAffiliations":171,"indexDatabases":182,"url":21,"thumbnailPath":21,"statistic":21,"gsStatistic":21,"type":21,"analyzePriority":21},[],{"issn":155,"title":156,"eissn":157},{"VOID":15},{"EN":10},{"VOID":13},[159,163,167],{"id":25,"createTime":21,"updateTime":21,"relativeEntities":160,"label":161,"description":162,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":28},{},{"id":31,"createTime":21,"updateTime":21,"relativeEntities":164,"label":165,"description":166,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":34},{},{"id":37,"createTime":21,"updateTime":21,"relativeEntities":168,"label":169,"description":170,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":40},{},[172,177],{"id":44,"createTime":21,"updateTime":21,"relativeEntities":173,"slug":21,"properties":174,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":176,"statistic":21},[],{"title":175},{"EN":48},[],{"id":51,"createTime":21,"updateTime":21,"relativeEntities":178,"slug":21,"properties":179,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":181,"statistic":21},[],{"title":180},{"EN":55},[57],[183,190],{"id":60,"indexDatabase":184,"url":71,"indexYears":72,"academicFieldIds":189,"indexDatabaseRanking":77},{"id":62,"createTime":21,"updateTime":21,"relativeEntities":185,"label":186,"description":187,"key":68,"publicationTags":188,"standard":21},[],{"EN":65,"VI":65},{"EN":65,"VI":67},[70],[74,75,76],{"id":79,"indexDatabase":191,"url":92,"indexYears":21,"academicFieldIds":196,"indexDatabaseRanking":21},{"id":81,"createTime":21,"updateTime":21,"relativeEntities":192,"label":193,"description":194,"key":88,"publicationTags":195,"standard":21},[],{"EN":84,"VI":84},{"EN":86,"VI":87},[90,91],[94],{"pages":198,"volume":200},{"VOID":199},"1433-1449",{"VOID":201},"54","2019-07-31",2019,[77,90],false,{"id":207,"createTime":208,"updateTime":209,"relativeEntities":210,"slug":211,"properties":212,"entityType":115,"verifyStatus":224,"verifyTime":225,"verifyNote":226,"languages":21,"translateLanguages":227,"viewCount":22,"primaryUrl":228,"fullTextUrl":21,"authors":229,"publicationType":150,"publisherRelationship":253,"citationCount":21,"citationInfo":21,"publishDate":299,"publishYear":300,"citationAnalyzeStatus":20,"lastCitationAnalyze":21,"indexDatabases":301,"openAccess":21,"references":21,"isForceReanalyzing":205},"83d741e9-4230-40fd-8c2e-186241b538fe","2024-04-06T18:07:18.116+00:00","2026-09-08T04:14:04.886+00:00",[],"Online-recurrence-CFD-enhancing-multiphase-flow-simulation-performance-with-online-recurrence-analysis",{"abstract":213,"title":215,"keywords":218,"references":220,"doi":222},{"EN":214},"This study proposes a novel approach to accelerate computational fluid dynamics (CFD) simulations by employing simultaneous recurrence analysis. The methodology involves creating recurrent trajectories by recording the average values of samples through a probability sampling approach. These recurrent trajectories are then used for both qualitative and quantitative recurrence analysis in the simulations. A solver with a user-defined condition for detecting recurrent patterns is employed to activate recurrence-CFD (rCFD). By utilizing the previous hydrodynamic results of the recurrent trajectory, rCFD accelerates the simulation by a factor of 3 for 20 s of simulation time of a lab-scale air–water bubble column. The results show excellent agreement between the hydrodynamic fields obtained from rCFD and regular CFD simulations. Furthermore, the performance of rCFD was evaluated by solving a scalar transport equation using hydrodynamic fields for both CFD and rCFD, and an average correlation coefficient of 0.98 was observed between the results of CFD and rCFD. The proposed approach has the potential to significantly reduce the computational time required for CFD simulations in various applications with a general recurrent. \n\n                \n                  \n                \n              ",{"EN":216,"VI":217},"Online recurrence-CFD: enhancing multiphase flow simulation performance with online recurrence analysis","Recurrence-CFD trực tuyến: nâng cao hiệu năng mô phỏng dòng chảy đa pha bằng phân tích hồi quy trực tuyến",{"EN":219},"",{"VOID":221},"Subramaniam S (2013) Lagrangian–Eulerian methods for multiphase flows. Prog Energy Combust Sci 39(2):215–245\nWang Y, Liu H, Yuan H (2020) Recent advances in theory, simulations, and experiments on multiphase flows. Phys Fluids 34(4):040401\nGolshan S, Sotudeh-Gharebagh R, Zarghami R, Mostoufi N, Blais B, Kuipers JAM (2020) Review and implementation of CFD-DEM applied to chemical process systems. Chem Eng Sci 221:115646\nAriyaratne WH, Manjula E, Ratnayake C, Melaaen MC (2016) CFD approaches for modeling gas-solids multiphase flows–A review. pp. 680–686\nHosain ML, Fdhila RB (2015) Literature review of accelerated CFD simulation methods towards online application. Energy Procedia 75:3307–3314\nHoorijani H, Esgandari B, Zarghami R, Sotudeh-Gharebagh R, Mostoufi N (2024) Comparative CFD-DEM study of flow regimes in spout-fluid beds. Particuology 85:323–334\nHoorijani H, Esgandari B, Zarghami R, Sotudeh-Gharebagh R, Mostoufi N (2023) CFD-DEM simulation of heat transfer in spout-fluid beds. Chem Eng Res Des 200:95–106\nGolshan S, Esgandari B, Zarghami R (2017) CFD-DEM and TFM simulations of a spouted bed. Chem Eng Trans 57:1249–1254\nEsgandari B, Rauchenzauner S, Goniva C, Kieckhefen P, Schneiderbauer S (2023) A comprehensive comparison of Two-Fluid Model, Discrete Element Method and experiments for the simulation of single- and multiple-spout fluidized beds. Chem Eng Sci 267:118357\nLichtenegger T, Pirker S (2016) Recurrence CFD – A novel approach to simulate multiphase flows with strongly separated time scales. Chem Eng Sci 153:394–410\nLichtenegger T, Peters EAJF, Kuipers JAM, Pirker S (2017) A recurrence CFD study of heat transfer in a fluidized bed. Chem Eng Sci 172:310–322\nAbbasi S, Pirker S, Lichtenegger T (2020) Application of recurrence CFD (rCFD) to species transport in turbulent vortex shedding. Comput Fluids 196:104348\nPirker S, Lichtenegger T (2018) Efficient time-extrapolation of single- and multiphase simulations by transport based recurrence CFD (rCFD). Chem Eng Sci 188:65–83\nHoorijani H, Zarghami R, Mostoufi N (2022) Studying the effect of direction and strength of magnetic field on fluidization of nanoparticles by recurrence analysis. Adv Powder Technol 33(5):103561\nHoorijani H, Zarghami R, Nosrati K, Mostoufi N (2021) Investigating the hydrodynamics of vibro-fluidized bed of hydrophilic titanium nanoparticles. Chem Eng Res Des 174:486–497\nBabaei B, Zarghami R, Sedighikamal H, Sotudeh-Gharebagh R, Mostoufi N (2014) Selection of minimal length of line in recurrence quantification analysis. Physica A 395:112–120\nBabaei B, Zarghami R, Sedighikamal H, Sotudeh-Gharebagh R, Mostoufi N (2012) Investigating the hydrodynamics of gas–solid bubbling fluidization using recurrence plot. Adv Powder Technol 23(3):380–386\nZarghami R, Mostoufi N, Sotudeh-Gharebagh R (2008) Nonlinear characterization of pressure fluctuations in fluidized beds. Ind Eng Chem Res 47(23):9497–9507\nSavari C, Kulah G, Sotudeh-Gharebagh R, Mostoufi N, Koksal M (2016) Early detection of agglomeration in conical spouted beds using recurrence plots. Ind Eng Chem Res 55(26):7179–7190\nTahmasebpour M, Zarghami R, Sotudeh-Gharebagh R, Mostoufi N (2013) Study of transition velocity from bubbling to turbulent fluidisation by recurrence plots analysis on pressure fluctuations. Canad J Chem Eng 91(2):368–375\nKieckhefen P, Lichtenegger T, Pietsch S, Pirker S, Heinrich S (2019) Simulation of spray coating in a spouted bed using recurrence CFD. Particuology 42:92–103\nTahmasebpour M, Zarghami R, Sotudeh-Gharebagh R, Mostoufi N (2013) Characterization of various structures in gas-solid fluidized beds by recurrence quantification analysis. Particuology 11(6):647–656\nBesagni G, Varallo N, Mereu R (2023) Computational fluid dynamics modelling of two-phase bubble columns: a comprehensive review. Fluids 8(3):91\nTomiyama A, Celata GP, Hosokawa S, Yoshida S (2002) Terminal velocity of single bubbles in surface tension force dominant regime. Int J Multiph Flow 28(9):1497–1519\nTomiyama A, Tamai H, Zun I, Hosokawa S (2002) Transverse migration of single bubbles in simple shear flows. Chem Eng Sci 57(11):1849–1858\nBabaei B, Zarghami R, Sotudeh-Gharebagh R (2013) Monitoring of fluidized beds hydrodynamics using recurrence quantification analysis. AIChE J 59(2):399–406\nvan Ommen JR, Coppens MO, van den Bleek CM, Schouten JC (2000) Early warning of agglomeration in fluidized beds by attractor comparison. AIChE J 46(11):2183–2197\nWebber CL Jr, Zbilut JP (1994) Dynamical assessment of physiological systems and states using recurrence plot strategies. J Appl Physiol 76(2):965–973\nSavari C, Sotudeh-Gharebagh R, Zarghami R, Mostoufi N (2016) Non-intrusive characterization of particle size changes in fluidized beds using recurrence plots. AIChE J 62(10):3547–3561\nWebber CL Jr, Zbilut JP (2005) Recurrence quantification analysis of nonlinear dynamical systems. Tutor Contempor Nonlin Meth Behav Sci 94(2005):26–94",{"VOID":223},"10.1007\u002Fs11012-024-01763-9","VERIFIED","2024-12-20T13:26:04.160+00:00","Auto Verify",[117],"https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11012-024-01763-9",[230],{"id":231,"sortIndex":22,"researcher":21,"roles":232,"affiliations":233,"properties":250,"displayName":252,"givenName":21,"familyName":21},"24dc183d-ddb7-4ce7-a4fa-ac22e1fe8cf6",[123],[234,242],{"id":235,"sortIndex":22,"affiliation":236,"properties":21},"d554d3be-5cf9-45e6-8572-422225a689df",{"id":235,"createTime":21,"updateTime":21,"relativeEntities":237,"slug":21,"properties":238,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":241,"statistic":21},[],{"title":239},{"VI":240},"Multiphase Systems Research Lab., School of Chemical Engineering, College of Engineering, University of Tehran, Tehran, Iran",[],{"id":243,"sortIndex":22,"affiliation":244,"properties":21},"8151b884-02cc-444a-ad61-32899e0e756d",{"id":243,"createTime":21,"updateTime":21,"relativeEntities":245,"slug":21,"properties":246,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":249,"statistic":21},[],{"title":247},{"VI":248},"Laboratory for Chemical Technology, Center for Sustainable Chemistry, Ghent University, Ghent, Belgium",[],{"title":251},{"VI":252},"Hamed Hoorijani",{"url":21,"publisher":254,"properties":21},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":255,"slug":10,"properties":256,"entityType":19,"verifyStatus":20,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":22,"subjectFields":260,"manageAffiliations":273,"indexDatabases":284,"url":21,"thumbnailPath":21,"statistic":21,"gsStatistic":21,"type":21,"analyzePriority":21},[],{"issn":257,"title":258,"eissn":259},{"VOID":15},{"EN":10},{"VOID":13},[261,265,269],{"id":25,"createTime":21,"updateTime":21,"relativeEntities":262,"label":263,"description":264,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":28},{},{"id":31,"createTime":21,"updateTime":21,"relativeEntities":266,"label":267,"description":268,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":34},{},{"id":37,"createTime":21,"updateTime":21,"relativeEntities":270,"label":271,"description":272,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":40},{},[274,279],{"id":44,"createTime":21,"updateTime":21,"relativeEntities":275,"slug":21,"properties":276,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":278,"statistic":21},[],{"title":277},{"EN":48},[],{"id":51,"createTime":21,"updateTime":21,"relativeEntities":280,"slug":21,"properties":281,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":283,"statistic":21},[],{"title":282},{"EN":55},[57],[285,292],{"id":60,"indexDatabase":286,"url":71,"indexYears":72,"academicFieldIds":291,"indexDatabaseRanking":77},{"id":62,"createTime":21,"updateTime":21,"relativeEntities":287,"label":288,"description":289,"key":68,"publicationTags":290,"standard":21},[],{"EN":65,"VI":65},{"EN":65,"VI":67},[70],[74,75,76],{"id":79,"indexDatabase":293,"url":92,"indexYears":21,"academicFieldIds":298,"indexDatabaseRanking":21},{"id":81,"createTime":21,"updateTime":21,"relativeEntities":294,"label":295,"description":296,"key":88,"publicationTags":297,"standard":21},[],{"EN":84,"VI":84},{"EN":86,"VI":87},[90,91],[94],"2024-02-26",2024,[77,90],{"id":303,"createTime":304,"updateTime":305,"relativeEntities":306,"slug":307,"properties":308,"entityType":115,"verifyStatus":224,"verifyTime":317,"verifyNote":226,"languages":21,"translateLanguages":21,"viewCount":22,"primaryUrl":318,"fullTextUrl":21,"authors":319,"publicationType":150,"publisherRelationship":382,"citationCount":433,"citationInfo":434,"publishDate":437,"publishYear":435,"citationAnalyzeStatus":438,"lastCitationAnalyze":439,"indexDatabases":440,"openAccess":21,"references":441,"isForceReanalyzing":205},"48982040-38e1-4c0c-8052-a82307eb0cbf","2024-01-09T00:05:32.557+00:00","2026-08-17T03:29:30.771+00:00",[],"Analysis-of-cavitation-time-effect-on-elastoplastic-response-of-underwater-rectangular-plate-subjected-to-impulsive-loading",{"abstract":309,"title":311,"gsPaper":313,"doi":315},{"EN":310},"This paper focuses on the cavitation effect on nonlinear elastoplastic deformation rectangular aluminum plate subjected to underwater explosion loading. Cavitation is a phenomenon that may be occurred for plates in the process of underwater explosion forming. The total pressure of the explosion becomes zero at the cavitation time, so that the governing equations of motion will be different before and after the cavitation. As a result, in terms of analysis and design, the cavitation time is significant in studying the behavior of a rectangular plate at underwater explosive loading. Based on Hamilton principle and variation method the nonlinear equations of motion of an underwater rectangular plate subjected to explosive loading are obtained. Exact linear dynamic response of plate is derived by employing the eigen function and nonlinear dynamic response of plate is derived by employing the finite difference method (FDM). The linear and nonlinear work hardening material modeling is considered to define the elastoplastic stress–strain relations. Return mapping algorithm is applied to calculate the stress and strain in any steps of loading. Then, the displacement, velocity and generated stress of plate during cavitation time are calculated. Using von Mises yield criterion, one can distinguishes the cavitation with in elastic or plastic regimes. By recognizing the time of cavitation in the range of elastic or plastic, the displacement and velocity field of plate are determined in duration of explosive loading. Results show that the cavitation time is on the order of 5–10 μs. Depending on amount of charge mass and stand-off, the cavitation time may occur in elastic or plastic regime. The results obtained of linear exact solution considering the linear work hardening material modeling are compared to results obtained of FDM considering the linear and nonlinear work hardening material modeling.",{"EN":312},"Analysis of cavitation time effect on elastoplastic response of underwater rectangular plate subjected to impulsive loading",{"VOID":314},"[\"6805802168761257340\"]",{"VOID":316},"10.1007\u002Fs11012-016-0411-5","2024-05-01T09:00:43.775+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11012-016-0411-5",[320,337,354,368],{"id":321,"sortIndex":22,"researcher":21,"roles":322,"affiliations":323,"properties":332,"displayName":334,"givenName":21,"familyName":21},"64587ec1-9dd9-4c62-8aca-e9aaf602a01a",[123],[324],{"id":325,"sortIndex":22,"affiliation":326,"properties":21},"b906d90c-8683-4a59-9dad-de6df375d2b0",{"id":325,"createTime":21,"updateTime":21,"relativeEntities":327,"slug":21,"properties":328,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":331,"statistic":21},[],{"title":329},{"VI":330},"Department of Mechanical Engineering, University of Guilan, Rasht, Iran",[],{"title":333,"gsAuthor":335},{"VI":334},"H. Ramezannezhad Azarboni",{"VOID":336},"[\"PQ2t1hYAAAAJ\"]",{"id":338,"sortIndex":138,"researcher":21,"roles":339,"affiliations":340,"properties":349,"displayName":351,"givenName":21,"familyName":21},"51c6a333-d66f-4344-a521-95327087f8fe",[123],[341],{"id":342,"sortIndex":22,"affiliation":343,"properties":21},"7529304b-27d7-4cac-8007-4d27a54b5968",{"id":342,"createTime":21,"updateTime":21,"relativeEntities":344,"slug":21,"properties":345,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":348,"statistic":21},[],{"title":346},{"VI":347},"Department of Mechanical Engineering, Bandar Anzali Branch, Islamic Azad University, Bandar Anzali, Iran",[],{"title":350,"gsAuthor":352},{"VI":351},"A. Darvizeh",{"VOID":353},"[\"ugZGV7cAAAAJ\"]",{"id":355,"sortIndex":356,"researcher":21,"roles":357,"affiliations":358,"properties":365,"displayName":367,"givenName":21,"familyName":21},"5b40cbb1-5217-4e73-8aad-0f0dc33f4085",2,[123],[359],{"id":325,"sortIndex":22,"affiliation":360,"properties":21},{"id":325,"createTime":21,"updateTime":21,"relativeEntities":361,"slug":21,"properties":362,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":364,"statistic":21},[],{"title":363},{"VI":330},[],{"title":366},{"VI":367},"M. Darvizeh",{"id":369,"sortIndex":370,"researcher":21,"roles":371,"affiliations":372,"properties":379,"displayName":381,"givenName":21,"familyName":21},"acede444-78d9-42c2-8a08-5f1ebc11c981",3,[123],[373],{"id":325,"sortIndex":22,"affiliation":374,"properties":21},{"id":325,"createTime":21,"updateTime":21,"relativeEntities":375,"slug":21,"properties":376,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":378,"statistic":21},[],{"title":377},{"VI":330},[],{"title":380},{"VI":381},"R. Ansari",{"url":318,"publisher":383,"properties":428},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":384,"slug":10,"properties":385,"entityType":19,"verifyStatus":20,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":22,"subjectFields":389,"manageAffiliations":402,"indexDatabases":413,"url":21,"thumbnailPath":21,"statistic":21,"gsStatistic":21,"type":21,"analyzePriority":21},[],{"issn":386,"title":387,"eissn":388},{"VOID":15},{"EN":10},{"VOID":13},[390,394,398],{"id":25,"createTime":21,"updateTime":21,"relativeEntities":391,"label":392,"description":393,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":28},{},{"id":31,"createTime":21,"updateTime":21,"relativeEntities":395,"label":396,"description":397,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":34},{},{"id":37,"createTime":21,"updateTime":21,"relativeEntities":399,"label":400,"description":401,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":40},{},[403,408],{"id":44,"createTime":21,"updateTime":21,"relativeEntities":404,"slug":21,"properties":405,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":407,"statistic":21},[],{"title":406},{"EN":48},[],{"id":51,"createTime":21,"updateTime":21,"relativeEntities":409,"slug":21,"properties":410,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":412,"statistic":21},[],{"title":411},{"EN":55},[57],[414,421],{"id":60,"indexDatabase":415,"url":71,"indexYears":72,"academicFieldIds":420,"indexDatabaseRanking":77},{"id":62,"createTime":21,"updateTime":21,"relativeEntities":416,"label":417,"description":418,"key":68,"publicationTags":419,"standard":21},[],{"EN":65,"VI":65},{"EN":65,"VI":67},[70],[74,75,76],{"id":79,"indexDatabase":422,"url":92,"indexYears":21,"academicFieldIds":427,"indexDatabaseRanking":21},{"id":81,"createTime":21,"updateTime":21,"relativeEntities":423,"label":424,"description":425,"key":88,"publicationTags":426,"standard":21},[],{"EN":84,"VI":84},{"EN":86,"VI":87},[90,91],[94],{"pages":429,"volume":431},{"VOID":430},"317-332",{"VOID":432},"52",8,{"total":433,"publishYear":435,"statisticByYear":436},2016,{},"2016-03-28","ERROR_IN_ANALYZE_CITATION","2026-08-17T03:29:30.770+00:00",[77,90],[442,448,451,454,457,463,469,472,475,478,484,490,496,499,505,508,511,514,517,523,526,532,535,541,547,550,553,556,562,568,571,574,577,580],{"id":443,"text":444,"url":445,"identifiers":446},"4c68646b-0035-4279-8000-0006b275d4fa","Zizicas GA (1952) Dynamic buckling of thin elastic plates. Am Soc Mech Eng 74:1257–1268","https:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs10440-022-00541-7",{"doi":447},"10.1007\u002Fs10440-022-00541-7",{"id":443,"text":449,"url":445,"identifiers":450},"Hutchinson JW, Budiansky B (1966) Dynamic buckling estimates. AIAA 14:525–530",{"doi":447},{"id":21,"text":452,"url":21,"identifiers":453},"Budiansky B (1966) Dynamic buckling of elastic structures criteria and estimates. NASA Oxford and Newyork. Pergamon Press, Oxford, pp 83–106",{},{"id":443,"text":455,"url":445,"identifiers":456},"Danielson DA (1969) Dynamic buckling loads of imperfection-sensitive structures from perturbation procedures. AIAA 7:1506–1510",{"doi":447},{"id":458,"text":459,"url":460,"identifiers":461},"8a017fe2-ee8f-4ca6-a69d-f7c3a5d1b889","Passic H, Herrmann G (1984) Effect of in-plane inertia on buckling of imperfect plates with large deformation. J Sound Vib 95:469–478","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002F0022460X8490230X",{"doi":462},"10.1016\u002F0022-460x(84)90230-x",{"id":464,"text":465,"url":466,"identifiers":467},"2d8d3872-a78d-40b9-ab91-cb0cf4ae732b","Weller T, Bramovich HA, Yaffe R (1989) Dynamic buckling of beams and plates subjected to axial impact. Comput Struct 32:835–851","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002F0045794989903684",{"doi":468},"10.1016\u002F0045-7949(89)90368-4",{"id":443,"text":470,"url":445,"identifiers":471},"Ari-Gur J, Simonetta SR (1997) Dynamic pulse buckling of rectangular composite plates. Compos B 28:301–308",{"doi":447},{"id":443,"text":473,"url":445,"identifiers":474},"Cui S, Hee KC, Hong H (1999) Experimental study of dynamic buckling of plates under sinusoidal slamming. Int J Impact Eng 22:675–691",{"doi":447},{"id":443,"text":476,"url":445,"identifiers":477},"Petry D, Fahlbusch G (2000) Dynamic buckling of thin isotropic plates subjected to in-plane impact. Thin Walled Struct 38:267–283",{"doi":447},{"id":479,"text":480,"url":481,"identifiers":482},"d2c12bcd-c072-4a2b-b752-ca1edf2a24d3","Cui S, Hong H, Hee KC (2001) Numerical analysis of dynamic buckling of rectangular plates subjected to intermediate velocity impact. Int J Impact Eng 25:147–167","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0734743X0000035X",{"doi":483},"10.1016\u002Fs0734-743x(00)00035-x",{"id":485,"text":486,"url":487,"identifiers":488},"02bb15ad-25f4-4432-9c3a-2a700df25a2d","Ma LS, Wang TJ (2004) Relationships between axisymmetric bending and buckling solutions of FGM circular plates based on third-order plate theory and classical plate theory. Int J Solids Struct 41:85–101","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0020768303005006",{"doi":489},"10.1016\u002Fj.ijsolstr.2003.09.008",{"id":491,"text":492,"url":493,"identifiers":494},"f65f459f-f0d7-4053-9895-5264e49e3f9d","Zenkour AM (2005) A comprehensive analysis of functionally graded sandwich plates: part 2- buckling and free vibration. Int J Solids Struct 42:5224–5242","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0020768305000776",{"doi":495},"10.1016\u002Fj.ijsolstr.2005.02.016",{"id":443,"text":497,"url":445,"identifiers":498},"Kubiak T (2007) Criteria of dynamic buckling estimation of thin-walled structures. Thin Walled Struct 45:888–892",{"doi":447},{"id":500,"text":501,"url":502,"identifiers":503},"abf6ce4c-a61c-416e-85cc-7c413a7cf274","Meiche NE, Tounsi A, Ziane N, Mechab I, AddaBedia EA (2011) A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate. Int J Mech Sci 53:237–247","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0020740311000142",{"doi":504},"10.1016\u002Fj.ijmecsci.2011.01.004",{"id":443,"text":506,"url":445,"identifiers":507},"Kubiak T (2013) Static and dynamic buckling of thin-walled plate structures. Springer, Switzerland",{"doi":447},{"id":443,"text":509,"url":445,"identifiers":510},"Jaberzadeh E, Azhari M, Boroomand B (2013) Thermal buckling of functionally graded skew and trapezoidal plates with different boundary conditions using the element-free Galerkin method. Eur J Mech A\u002FSolids 42:18–26",{"doi":447},{"id":443,"text":512,"url":445,"identifiers":513},"Zhang LW, Zhu P, Liew KM (2014) Thermal buckling of functionally graded plates using a local Kriging mesh less method. Compos Struct 108:472–492",{"doi":447},{"id":443,"text":515,"url":445,"identifiers":516},"Hudson EA (1951) Theory of the dynamic plastic deformation of a thin diaphragm. J Appl Phys 22:1–11",{"doi":447},{"id":518,"text":519,"url":520,"identifiers":521},"366e02bd-6707-496c-8d16-809fc80c776b","Jones N, Uran T, Tekin SA (1970) The dynamic plastic behavior of fully clamped rectangular plates. Int J Solids Struct 6:1499–1512","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002F0020768370900600",{"doi":522},"10.1016\u002F0020-7683(70)90060-0",{"id":443,"text":524,"url":445,"identifiers":525},"Jones N, Alves M (2010) Post-failure behavior of impulsively loaded circular plates. Int J Mech Sci 52:706–715",{"doi":447},{"id":527,"text":528,"url":529,"identifiers":530},"b74ce1d0-e5d9-48ec-975e-c7c809cd73b3","Jones N, Paik JK (2011) Impact perforation of aluminium alloy plates. Int J Impact Eng 48:46–53","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0734743X11000844",{"doi":531},"10.1016\u002Fj.ijimpeng.2011.05.007",{"id":443,"text":533,"url":445,"identifiers":534},"Jones N (2014) Pseudo-shakedown phenomenon for the mass impact loading of plating. Int J Impact Eng 65:33–39",{"doi":447},{"id":536,"text":537,"url":538,"identifiers":539},"5fdac003-5fc7-4a91-942a-33153d8824b1","Jones N (2014) Dynamic inelastic response of strain rate sensitive ductile plate due to large impact dynamic pressure and explosive loading. Int J Impact Eng 74:3–15","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0734743X13001097",{"doi":540},"10.1016\u002Fj.ijimpeng.2013.05.003",{"id":542,"text":543,"url":544,"identifiers":545},"819f9440-390e-489f-b683-e038d9fbb0a6","Wierzbicki T, Florence AL (1970) A theoretical and experimental investigation of impulsively loaded clamped circular viscoplastic plates. Int J Solids Struct 6:550–580","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002F0020768370900302",{"doi":546},"10.1016\u002F0020-7683(70)90030-2",{"id":443,"text":548,"url":445,"identifiers":549},"Batra RC, Dubey RN (1971) Impulsively loaded circular plates. Int J Solids Struct 7:965–978",{"doi":447},{"id":443,"text":551,"url":445,"identifiers":552},"Nurick GN, Martin GB (1989) Deformation of thin plates subjected to impulsive loading a review part I. Int J Impact Eng 8:159–170",{"doi":447},{"id":443,"text":554,"url":445,"identifiers":555},"Yuen SCK, Nurick GN, Verster W, Jacob N, Vara AR, Balden VH, Bwalya D, Govender RA, Pittermann M (2008) Deformation of mild steel plates subjected to large-scale explosions. Int J Impact Eng 35:684–703",{"doi":447},{"id":557,"text":558,"url":559,"identifiers":560},"bc49d13b-d10f-4371-adbf-42a1056e6296","Yuen SCK, Nurick GN (2005) Experimental and numerical studies on the response of quadrangular stiffened plates. Part I: subjected to uniform blast load. Int J Impact Eng 31:55–83","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0734743X03001076",{"doi":561},"10.1016\u002Fj.ijimpeng.2003.09.048",{"id":563,"text":564,"url":565,"identifiers":566},"7b9c01ae-b9c9-4363-9297-41f64d4f5ee5","Rajendran R (2009) Numerical simulation of response of plane plates subjected to uniform primary shock loading of non-contact underwater explosion. Mater Des 30:1000–1007","https:\u002F\u002Fwww.sciencedirect.com\u002Fscience\u002Farticle\u002Fpii\u002FS0261306908003294",{"doi":567},"10.1016\u002Fj.matdes.2008.06.054",{"id":443,"text":569,"url":445,"identifiers":570},"Rajendran R, Narasimhan K (2005) Deformation and rupture behavior of plate specimens subjected to underwater explosion—a review. Int J Impact Eng 32:1945–1963",{"doi":447},{"id":443,"text":572,"url":445,"identifiers":573},"Rajendran R, Narasimhan K (2001) Performance evaluation of HSLA steel subjected to underwater explosion. J Mater Eng Perform 10:66–74",{"doi":447},{"id":443,"text":575,"url":445,"identifiers":576},"Nyfeh AS (1995) Nonlinear oscillations. Wily Classics library Edition Published, Canada, pp 501–510",{"doi":447},{"id":443,"text":578,"url":445,"identifiers":579},"Smaill JS (1984) Pressure instrumentation in explosive forming: the non-linear transient displacement of a circular plate. Ph.D. Thesis, University of Canterbury, New Zealand",{"doi":447},{"id":581,"text":582,"url":583,"identifiers":584},"de3887f2-e034-459e-bb3f-905b429e6b62","Xing Y, Liu B (2009) New exact solutions for free vibrations of rectangular thin plates by symplectic dual method. Acta Mech Sin 25:265–270","http:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs10409-008-0208-4",{"doi":585},"10.1007\u002Fs10409-008-0208-4",{"id":587,"createTime":588,"updateTime":589,"relativeEntities":590,"slug":591,"properties":592,"entityType":115,"verifyStatus":224,"verifyTime":603,"verifyNote":226,"languages":21,"translateLanguages":21,"viewCount":22,"primaryUrl":604,"fullTextUrl":605,"authors":606,"publicationType":150,"publisherRelationship":622,"citationCount":675,"citationInfo":676,"publishDate":679,"publishYear":677,"citationAnalyzeStatus":438,"lastCitationAnalyze":680,"indexDatabases":681,"openAccess":21,"references":21,"isForceReanalyzing":205},"e048485d-a282-45f6-8104-e5850fe4cad4","2024-01-28T19:13:19.135+00:00","2026-08-15T20:43:10.247+00:00",[],"Bi-and-trifilar-suspension-centering-correction",{"abstract":593,"title":595,"gsPaper":597,"references":599,"doi":601},{"EN":594},"For accurate measurements of moments of inertia, or gyradii, about a vertical axis the offset of the center of mass of the suspended body from the symmetry axis of the suspension is required. A number of simple methods of determining this offset from yaw period measurements are described and experimentally shown to provide results of precision equal or better than suspension line tension measurements and thus eliminating the necessity for the use of strain gauges.",{"EN":596},"Bi and trifilar suspension centering correction",{"VOID":598},"[\"17214863552099824699\"]",{"VOID":600},"citation_journal_title=J Aircr; citation_title=Optimized measurements of unmanned-air-vehicle mass moment of inertia with a bifilar pendulum; citation_author=MR Jardin, ER Mueller; citation_volume=46; citation_publication_date=2009; citation_pages=763-775; citation_doi=10.2514\u002F1.34015; citation_id=CR1\nMcClelland WA (2006) Inertial measurement and dynamic stability analysis of a radio-controlled jointed-wing aircraft. In: Aeronautical Engineering, Air Force Institute of Technology, Wright- Patterson Air Force Base, ohio\ncitation_journal_title=IE(I) J AS; citation_title=Determination of inertial characteristics of a high wing unmanned air vehicle; citation_author=A Halder; citation_volume=89; citation_publication_date=2008; citation_pages=3-8; citation_id=CR3\nBussamra, FLdS, Vilchez CMM, Santos JC (2009) Experimental determination of unmanned aircraft inertial properties. In: 3rd CTA-DLR workshop on data analysis and flight control, 2009 Brazilian symposium on aerospace eng. & applications, S. J. Campos, SP, Brazil\nGreen MW (1927) Measurement of the moments of inertia of full scale aircraft. In: Technical notes National Advisory Committee for Aeronautics. Langley Memorial Aeronautical Laboratory, Washington, p 1–18\nMiller MP (1930) An accurate method of measuring the moments of inertia of airplanes. In: Technical notes National Advisory Committee for Aeronautics, 351, p 26\ncitation_journal_title=J. Aircr; citation_title=Accurate estimate of aircraft inertia characteristics from a single suspension experiment; citation_author=RC Jong, JA Mulder; citation_volume=24; citation_issue=6; citation_publication_date=1987; citation_pages=362-370; citation_doi=10.2514\u002F3.45454; citation_id=CR7\nFennell LJ (1967) Measurement of the moments of inertia of a Handley Page HP115 aircraft. Aeronautical Research Council, Her Majesty`s Stationary Office, London\ncitation_journal_title=Mech Mach Theory; citation_title=A new trifilar pendulum approach to identify all inertia parameters of a rigid body or assembly; citation_author=Z-C Hou, Y Lv, Y-X Lao; citation_volume=44; citation_issue=6; citation_publication_date=2009; citation_pages=1270-1280; citation_doi=10.1016\u002Fj.mechmachtheory.2008.07.004; citation_id=CR9\nHinrichsen PF (1991) Gyradius measurement of Olympic class Dinghies and Keelboats. In: The tenth Cheasapeake Sailing Yacht Symposium. SNAME, the Chesapeake Bay Yacht Racing Association, Annapolis, p 1–16\ncitation_journal_title=J Sailboat Technol; citation_title=Bifilar suspension measurement of boat inertia parameters; citation_author=PF Hinrichsen; citation_volume=1; citation_publication_date=2014; citation_pages=1-36; citation_id=CR11\nWilliams H (2007) Measuring the inertia tensor. In IMA Mathematics 2007 Conference. IMA, Manchester\ncitation_journal_title=Exp Mech; citation_title=Error analysis in trifilar inertia measurements; citation_author=JLd Bois, N Lieven, S Adhikari; citation_volume=49; citation_publication_date=2009; citation_pages=533-540; citation_doi=10.1007\u002Fs11340-008-9142-4; citation_id=CR13\ncitation_journal_title=Int J Mech Sci; citation_title=Dynamics of the bifilar pendulum; citation_author=TR Kane, G-T Tseng; citation_volume=9; citation_issue=2; citation_publication_date=1967; citation_pages=83-96; citation_doi=10.1016\u002F0020-7403(67)90047-1; citation_id=CR14\nSwart W (2016) Determining the moments of inertia using a bifilar pendulum. In: TECHNISCHE WISKUNDE, Technische Universiteit Delft Faculteit Elektrotechniek, Wiskunde en Informatica Delft Institute of Applied Mathematics, Delft, Nederland\nKorr AL, Hyer P (1962) A trifilar pendulum for the determination of moments of inertia. Armed services technical information agency report R-1653. Frankford Arsenal, Philadelphia, PA, pp 1–51. \n                    https:\u002F\u002Fwww.dtic.mil\u002Fdtic\u002Ftr\u002Ffulltext\u002Fu2\u002F287534.pdf\n                    \n                  \n                \nSwank AJ (2012) Precision mass property measurements using a five-wire torsion pendulum. NASA Glen Resaearch Center, Cleveland. \n                    https:\u002F\u002Fwww.aspe.net\u002Fpublications\u002FShort%20Abstracts%2012A\u002F3599.pdf\n                    \n                  \n                \nSwank AJ (2009) Gravitational mass attraction measurement for drag-free references In: Aeronautics and Astronautics. \n                    http:\u002F\u002Fgradworks.umi.com\u002F3364514.pdf\n                    \n                  . Stanford University, Stamford, p 276\nKane TR, Levinson DA (2005) Dynamics theory and applications. The Internet-First University Press, Ithaca, p 380\ncitation_title=The general properties of matter; citation_publication_date=1951; citation_id=CR20; citation_author=FH Newman; citation_author=VH Searle; citation_publisher=Edward Arnold & Co\ncitation_journal_title=Phys Educ; citation_title=In plane oscillation of a bifilar pendulum; citation_author=PF Hinrichsen; citation_volume=51; citation_issue=6; citation_publication_date=2016; citation_pages=1-6; citation_doi=10.1088\u002F0031-9120\u002F51\u002F6\u002F065023; citation_id=CR21\nCrede CE (1948) Determining moment of inertia. Mach Design 138\ncitation_journal_title=Am J Phys; citation_title=Many oscillations of a rigid rod; citation_author=A Cromer; citation_volume=63; citation_issue=2; citation_publication_date=1995; citation_pages=112-121; citation_doi=10.1119\u002F1.17966; citation_id=CR23\ncitation_title=Classical dynamics; citation_publication_date=1970; citation_id=CR24; citation_author=JB Marion; citation_publisher=Academic Press\nYu G (2011) NODE +. Variable, Inc. 100 Cherokee Blvd. Suite 327, Chattanooga, TN 37405, USA. \n                    http:\u002F\u002Fvariableinc.com\u002Fproducts\u002F\n                    \n                  \n                \nScientific, P., Pasco Force Sensor Cl-6537. 2000, Pasco Scientific: 10101 Foothills Blvd., Roseville, CA 95747-7100\nSPSS Science (2000) TableCurve 2D. \n                    http:\u002F\u002Fwww.sigmaplot.com\u002Fproducts\u002Ftablecurve2d\u002Ftablecurve2d.php\n                    \n                  \n                \nHinrichsen PF (2015) Analysis of bi and trifilar suspension oscillations. Researchgate, \n                    https:\u002F\u002Fwww.researchgate.net\u002Fprofile\u002FPeter_Hinrichsen3\u002Fpublications\n                    \n                  . p. 64\ncitation_journal_title=Meccanica; citation_title=Some considerations on the experimental determination of moments of inertia; citation_author=G Genta, C Delprete; citation_volume=29; citation_publication_date=1994; citation_pages=125-141; citation_doi=10.1007\u002FBF01007497; citation_id=CR29",{"VOID":602},"10.1007\u002Fs11012-017-0700-7","2024-05-16T08:37:47.438+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11012-017-0700-7","https:\u002F\u002Flink.springer.com\u002Fcontent\u002Fpdf\u002F10.1007\u002Fs11012-017-0700-7.pdf",[607],{"id":608,"sortIndex":22,"researcher":21,"roles":609,"affiliations":610,"properties":619,"displayName":621,"givenName":21,"familyName":21},"0728090b-19b9-4cc5-ae8a-8ef458b30391",[123],[611],{"id":612,"sortIndex":22,"affiliation":613,"properties":21},"7f28b232-286b-4d17-8f37-ab0be80335cf",{"id":612,"createTime":21,"updateTime":21,"relativeEntities":614,"slug":21,"properties":615,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":618,"statistic":21},[],{"title":616},{"VI":617},"John Abbott College, Sainte Anne de Bellevue, Canada",[],{"title":620},{"VI":621},"Hinrichsen, Peter F.",{"url":604,"publisher":623,"properties":668},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":624,"slug":10,"properties":625,"entityType":19,"verifyStatus":20,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":22,"subjectFields":629,"manageAffiliations":642,"indexDatabases":653,"url":21,"thumbnailPath":21,"statistic":21,"gsStatistic":21,"type":21,"analyzePriority":21},[],{"issn":626,"title":627,"eissn":628},{"VOID":15},{"EN":10},{"VOID":13},[630,634,638],{"id":25,"createTime":21,"updateTime":21,"relativeEntities":631,"label":632,"description":633,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":28},{},{"id":31,"createTime":21,"updateTime":21,"relativeEntities":635,"label":636,"description":637,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":34},{},{"id":37,"createTime":21,"updateTime":21,"relativeEntities":639,"label":640,"description":641,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":40},{},[643,648],{"id":44,"createTime":21,"updateTime":21,"relativeEntities":644,"slug":21,"properties":645,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":647,"statistic":21},[],{"title":646},{"EN":48},[],{"id":51,"createTime":21,"updateTime":21,"relativeEntities":649,"slug":21,"properties":650,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":652,"statistic":21},[],{"title":651},{"EN":55},[57],[654,661],{"id":60,"indexDatabase":655,"url":71,"indexYears":72,"academicFieldIds":660,"indexDatabaseRanking":77},{"id":62,"createTime":21,"updateTime":21,"relativeEntities":656,"label":657,"description":658,"key":68,"publicationTags":659,"standard":21},[],{"EN":65,"VI":65},{"EN":65,"VI":67},[70],[74,75,76],{"id":79,"indexDatabase":662,"url":92,"indexYears":21,"academicFieldIds":667,"indexDatabaseRanking":21},{"id":81,"createTime":21,"updateTime":21,"relativeEntities":663,"label":664,"description":665,"key":88,"publicationTags":666,"standard":21},[],{"EN":84,"VI":84},{"EN":86,"VI":87},[90,91],[94],{"issue":669,"pages":671,"volume":673},{"VOID":670},"1",{"VOID":672},"21-32",{"VOID":674},"53",5,{"total":675,"publishYear":677,"statisticByYear":678},2018,{},"2018-01-01","2026-08-15T20:43:10.246+00:00",[77,90],{"id":683,"createTime":684,"updateTime":685,"relativeEntities":686,"slug":687,"properties":688,"entityType":115,"verifyStatus":224,"verifyTime":699,"verifyNote":226,"languages":21,"translateLanguages":21,"viewCount":22,"primaryUrl":700,"fullTextUrl":21,"authors":701,"publicationType":150,"publisherRelationship":717,"citationCount":21,"citationInfo":21,"publishDate":768,"publishYear":769,"citationAnalyzeStatus":770,"lastCitationAnalyze":685,"indexDatabases":771,"openAccess":21,"references":21,"isForceReanalyzing":205},"0d113207-d722-46fb-8171-f245e6cdb149","2024-01-10T04:13:34.033+00:00","2026-08-14T19:32:48.575+00:00",[],"A-matrix-structural-theory-of-piecewise-linear-elastoplasticity-with-interacting-yield-planes",{"abstract":689,"title":691,"gsPaper":693,"references":695,"doi":697},{"EN":690},"General piecewise linear constitutive laws with associated flow rules are formulated in matrix notation; some properties and specializations (in particular to kinematic and isotropic hardening) are discussed. With reference to finite element models of structures and, hence, in matrix-vector description, the following results are achieved: \na) the holonomic solutions to the analysis problem for given loads and dislocations are shown to be characterized by means of six “quadratic-linear” minimum principles, two of general, four of conditioned validity;b) the incremental counterparts of the above theorems are indicated by analogy; some comparison properties concerning holonomic and nonholonomic solutions, are pointed out;c) a shakedown theorem is established for variable repeated loads and dislocations, with allowance for inertia forces and viscous damping, i. e. a generalization to workhardening structures of Ceradini's and (in quasi-static situations) Melan's theorems;d) a method is proposed for evaluating under holonomy hypothesis, or bounding from above, the safety factor with respect to local failure due to limited plastic strain capacity.",{"EN":692},"A matrix structural theory of piecewise linear elastoplasticity with interacting yield planes",{"VOID":694},"[]",{"VOID":696},"P. Cicala,Le relazioni fra tensioni e deformazioni in elastoplasticità, “Mem. Acc. Sc.”, Torino, 1960.\nP. M. Naghdi,Stress-strain relations in plasticty and thermo-plasticity, in “Plasticity”, Pergamon Press, 1960.\nW. Prager,Models of plastic behavior, “Proc. V, U.S. Nat. Congr. Appl. Mech.”, ASME, New York, 1966.\nZ. Mróz,Non tinear flow-laws in the theory of plasticity, “Bull. Acad. Polon. Sci.”, V. XII, N. 11, 1964.\nJ. Mandel,Contribution théorique a l'étude de l'écrouissage et des lois de l'écoulement plastique, “Appl. Mech.; Proc. of the 11th Int. Congr. of Appl. Mech.”, Munich, 1964.\nJ. Mandel,Généralization de la théorie de plasticité de W. T. Koiter, “Int. J. Solids Structures”, N. 4, 1965.\nG. Maier,“Linear” flow-laws of elastoplasticity: a unified general approach “Rend. Acc. Naz. Lincei”, 142A, 1969.\nZ. Mróz,On the description of anisotropic workhardening, “J. Mech. Phys. Solids”, 15, N. 3, 1967.\nI. Berman andP. G. Hodge,A general theory of piecewise linear plasticity for initially anisotropic materials, “Arch. Mechan. Stosow.”, XI, 5, 1959.\nG. Maier,Teoremi di minimo in termini finiti con leggi costitutive linearizzate a tratti, “Rendic. Ist. Lomb. Sci. Lett.”, V. 103, 1969.\nB. G. Neal,Plastic collapse and shakedown theorems for structures of strainhardening materials, “J. Aero. Sci.”, 17, N. 5. 1950.\nB. G. Neal,The plastic methods of structural analysis, Chapman & Hall Ltd., London, 1963.\nG. Ceradini,Sull'adattamento dei corpi elasto-plastici soggetti ad azioni dinamiche, “Giorn. Genio Civile”, may, 1969.\nG. Maier,Shakedown theory in perfect elastoplasticity with associated flow-laws: a finite element, linear programming approach, “Meccanica”, N. 3, 1969.\nG. Macchi,Limit-states design of statically indeterminate structures composed of linear membres, “Studi e Rend. Corso Perfez. Costr. Cem. Arm.”, Politecnico di Milano, 1969.\nP. D. Arthur andV. Ramakrishnan,Ultimate strength design for structural concrete, I. Pitman & Sons Ltd., London, 1969.\nJ. H. Argyris,Continua and discontinua, in “Matrix methods in struct. mech.” Proc. Conf. Wright-Patterson AFB, Ohio, 1967.\nJ. S. Przemieniecki,Theory of matrix structural analysis, McGraw-Hill Comp., New York, 1967.\nG. Maier,A quadratic programming approach for certain nonlinear structural problems, “Meccanica”, N. 2, 1968.\nG. B. Dantzig andA. F. Veinott Ed.,Mathematics of the decision sciences, Part I, Am. Math. Soc., Providence, 1968.\nR. W. Cottle,Note on a fundamental theorem in quadratic programming. “J. Soc. Industr. Appl. Math.”, 12, 1964.\nB. Paul, W. Chen andL. Lee,An experimental study of plastic flow under stepwise increments of tension and torsion, “Proc. 4th U. S. Nat. Congr. Appl. Mech.”, ASME, New York, 2, 1962.\nD. R. Jenkins,Kinematic hardening in zincalloy tubes, “J. Appl. Mech.” 32, 1965.\nJ. Parker andM. B. Bassett,Plastic stress-strain relationship: some experiments to derive a subsequent yield surface. “J. Appl. Mech.”, 31, 1964.\nG. Maier,Incremental plastic analysis in the presence of large displacements and physical instabilizing effects, “Techn. Report, Ist. Sc. Tecn. Costr., Politecnico, Milano, Dec., 1969.\nH. P. Künzi andW. Krelle,Nonlinear programming, Blaisdell Publ. Comp, Waltham, 1966.\nK. Ritter,A method for solving maximum problems with a nonconcave quadratic objective function, “Z. Wahrscheinlischkeitstheoric verw. Geb.” 4, 1966.\nM. Capurso andG. Maier,Incremental elastoplastic analysis and quadratic optimization, “Meccanica”, N. 2, 1970.\nW. T. Koiter,General theorems for elastic-plastic solids “Progr. in Solid Mech.”, North-Holland, Amsterdam, 1960.\nG. Gavarini,sull rientro in fase elastica delle vibrazioni forzate elasto-plastiche, “Giorn. Genio Civile”, may, 1969.\nP. Wolfe,The simplex method for quadratic programming, “Econometrica”, 27, 1959.\nK. Kirchgässner,Ein Verfabren zur Maximierung linearer Funktionen in nichtkonvexen Bereichen, “Z. angew. Math. Mech.”, 42, T, 1962.",{"VOID":698},"10.1007\u002FBF02133524","2024-09-05T00:27:20.588+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002FBF02133524",[702],{"id":703,"sortIndex":22,"researcher":21,"roles":704,"affiliations":705,"properties":714,"displayName":716,"givenName":21,"familyName":21},"21dafe0d-22a6-45f7-9865-02c50c6d7722",[123],[706],{"id":707,"sortIndex":22,"affiliation":708,"properties":21},"be2385aa-dca3-4ea2-9493-5b6874f9d375",{"id":707,"createTime":21,"updateTime":21,"relativeEntities":709,"slug":21,"properties":710,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":713,"statistic":21},[],{"title":711},{"VI":712},"Istituto di Scienza e Tecnica deile Costruzioni, de Politecnico di Milano, Italy",[],{"title":715},{"VI":716},"Giulio Maier",{"url":700,"publisher":718,"properties":763},{"id":6,"createTime":7,"updateTime":8,"relativeEntities":719,"slug":10,"properties":720,"entityType":19,"verifyStatus":20,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":22,"subjectFields":724,"manageAffiliations":737,"indexDatabases":748,"url":21,"thumbnailPath":21,"statistic":21,"gsStatistic":21,"type":21,"analyzePriority":21},[],{"issn":721,"title":722,"eissn":723},{"VOID":15},{"EN":10},{"VOID":13},[725,729,733],{"id":25,"createTime":21,"updateTime":21,"relativeEntities":726,"label":727,"description":728,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":28},{},{"id":31,"createTime":21,"updateTime":21,"relativeEntities":730,"label":731,"description":732,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":34},{},{"id":37,"createTime":21,"updateTime":21,"relativeEntities":734,"label":735,"description":736,"parentId":21,"standard":21,"scholarHubFieldId":21},[],{"EN":40},{},[738,743],{"id":44,"createTime":21,"updateTime":21,"relativeEntities":739,"slug":21,"properties":740,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":742,"statistic":21},[],{"title":741},{"EN":48},[],{"id":51,"createTime":21,"updateTime":21,"relativeEntities":744,"slug":21,"properties":745,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":747,"statistic":21},[],{"title":746},{"EN":55},[57],[749,756],{"id":60,"indexDatabase":750,"url":71,"indexYears":72,"academicFieldIds":755,"indexDatabaseRanking":77},{"id":62,"createTime":21,"updateTime":21,"relativeEntities":751,"label":752,"description":753,"key":68,"publicationTags":754,"standard":21},[],{"EN":65,"VI":65},{"EN":65,"VI":67},[70],[74,75,76],{"id":79,"indexDatabase":757,"url":92,"indexYears":21,"academicFieldIds":762,"indexDatabaseRanking":21},{"id":81,"createTime":21,"updateTime":21,"relativeEntities":758,"label":759,"description":760,"key":88,"publicationTags":761,"standard":21},[],{"EN":84,"VI":84},{"EN":86,"VI":87},[90,91],[94],{"pages":764,"volume":766},{"VOID":765},"54-66",{"VOID":767},"5","1970-03-01",1970,"ERROR_IN_GET_PLATFORM_ID",[77,90],{"id":773,"createTime":774,"updateTime":775,"relativeEntities":776,"slug":777,"properties":778,"entityType":115,"verifyStatus":224,"verifyTime":784,"verifyNote":226,"languages":21,"translateLanguages":21,"viewCount":22,"primaryUrl":785,"fullTextUrl":21,"authors":786,"publicationType":150,"publisherRelationship":802,"citationCount":21,"citationInfo":21,"publishDate":853,"publishYear":854,"citationAnalyzeStatus":770,"lastCitationAnalyze":855,"indexDatabases":856,"openAccess":21,"references":21,"isForceReanalyzing":205},"1af9ee9a-3744-4427-8172-02dc3d630718","2024-01-21T13:15:27.686+00:00","2026-08-14T15:56:17.218+00:00",[],"Preliminary-tests-on-the-deflection-of-a-gear-tooth-under-a-concentrated-load",{"title":779,"gsPaper":781,"doi":782},{"EN":780},"Preliminary tests on the deflection of a gear tooth under a concentrated load",{"VOID":694},{"VOID":783},"10.1007\u002FBF02128876","2024-09-05T00:27:20.598+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002FBF02128876",[787],{"id":788,"sortIndex":22,"researcher":21,"roles":789,"affiliations":790,"properties":799,"displayName":801,"givenName":21,"familyName":21},"56e357d2-cf37-42b0-98ed-1a219d19637b",[123],[791],{"id":792,"sortIndex":22,"affiliation":793,"properties":21},"fa4bf53d-bc70-4579-aeb6-925659a62f39",{"id":792,"createTime":21,"updateTime":21,"relativeEntities":794,"slug":21,"properties":795,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":798,"statistic":21},[],{"title":796},{"VI":797},"Istituto di Meccanica Applicata alle Macchine, Università di Bologna, Italy",[],{"title":800},{"VI":801},"U. 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The deterministic part of the governing equation represents laminar flow conditions with a stationary non-zero solution corresponding to lock-in. Across-wind turbulence is included as an additive excitation and along-wind turbulence is introduced as a parametric excitation term, both assumed to be white noise processes. An approximate closed-form solution to the corresponding Fokker–Planck equation in terms of the stationary probability density of the energy is obtained. The auto spectral density of the position at a particular energy-level is approximated by the spectral density of a linear system with energy dependent damping. The spectral density is then obtained by integration of the energy conditional spectral density over all energies weighted by the probability density. The approximate theoretical expressions for the probability density of the energy and the auto spectral density of the position compare favourably with results obtained by numerical simulation.",{"EN":867},"Stochastic Analysis of Self-Induced Vibrations",{"VOID":869},"[\"17707646052083087441\"]",{"VOID":871},"Caughey, T.K., ‘Nonlinear theory of random vibrations’, Adv. Appl. Mech. 11 (1971) 209–253.\nClough, R.W. and Penzien, J., Dynamics of Structures, McGraw-Hill, New York, 1975.\nKrenk, S., ‘Energy and spectral density in non-linear random response’, In: Spencer, B.F. and Johnson, E.A. (eds), Stochastic Structural Dynamics, Balkema, Rotterdam, 1999, pp. 43–51.\nKrenk, S., Lin, Y.K. and Rüdinger, F., ‘Effective system properties and spectral density in random vibration with parametric excitation’, ASME J. Appl. Mech. 69 (2002) 161–170.\nKrenk, S. and Nielsen, S.R.K., ‘Energy balance double oscillator model for vortex-induced vibrations’, ASCE J. Engng Mech. 125 (1999) 263–271.\nKrenk, S. and Roberts, J.B., ‘Local similarity in nonlinear random vibration’, ASME J. Appl.Mech. 66 (1999) 225–235.\nLin, Y.K. and Cai, G.Q., Probabilistic Structural Dynamics: Advanced Theory and Applications, McGraw-Hill, New York, 1995.\nLollesgaard, M., VORTEX-INDUCED VIBRATIONS, Master’s Thesis, Technical University of Denmark, 2000.\nNielsen, S.R.K. and Krenk, S., ‘Stochastic response of energy balanced model for vortex-induced vibration’, In: Shiraishi, N., Shinozuka, M. and Wen, Y.K. (eds), Structural Safety and Reliability, Balkema, Rotterdam, 1998, pp. 1375–1378.\nvan Koten, H., ‘Wind induced vibrations of chimneys: the rules of the CICIND code for steel chimneys’, Engng Struct. 6 (1984) 350–356.",{"VOID":873},"10.1023\u002FA:1019696627696","2024-06-24T20:19:31.608+00:00","http:\u002F\u002Flink.springer.com\u002F10.1023\u002FA:1019696627696",[877,892],{"id":878,"sortIndex":22,"researcher":21,"roles":879,"affiliations":880,"properties":889,"displayName":891,"givenName":21,"familyName":21},"9dddec12-5d2b-4e29-9d6f-27e1d7703950",[123],[881],{"id":882,"sortIndex":22,"affiliation":883,"properties":21},"096163b9-3f19-4533-b407-34a2495ba32e",{"id":882,"createTime":21,"updateTime":21,"relativeEntities":884,"slug":21,"properties":885,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":888,"statistic":21},[],{"title":886},{"VI":887},"Department of Mechanical Engineering, Technical University of Denmark, Lyngby, Denmark",[],{"title":890},{"VI":891},"F. 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The ICH procedure has been proved effective in inducing a reversible microstructural modification of the martensitic phase. 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Metall.,9 (1975) 1247–1254.",{},{"id":21,"text":1090,"url":21,"identifiers":1091},"Delaey, L., Ortín, J., Van Humbeeck, J.,Proc. Phase Transf. '87, 6–10 July, Cambridge (UK), The Institute of Metals, 1988, pp. 60–66.",{},{"id":21,"text":1093,"url":21,"identifiers":1094},"Airoldi, G. and Riva, G.,ISIJ International,29 (1989) 412–416.",{},{"id":21,"text":1096,"url":21,"identifiers":1097},"Hornbogen, E.,Z. Metallkde.,78 (1987) 352–354.",{},{"id":443,"text":1099,"url":445,"identifiers":1100},"Gotthard, R. and Stoiber, J.,The Martensitic Transformation in Science and Technology, Hornbogen, E. and Jost, N. (eds), DGM Pub., Oberursel (FRG), (1989), pp. 27–38.",{"doi":447},{"id":21,"text":1102,"url":21,"identifiers":1103},"Ortín, J. and Planes, A.,Acta Metall.,36 (1988) 1873–1889.",{},{"id":21,"text":1105,"url":21,"identifiers":1106},"Airoldi, G. and Riva, G., in:The Martensitic Transformation in Science and Technology, Hornbogen, E. and Jost, N. (eds), DGM Pub., Oberursel (FRG), 1989, pp. 305–311.",{},{"id":21,"text":1108,"url":21,"identifiers":1109},"Airoldi, G., Besseghini, S., and Riva, G.,Proc. Int. Conf. onMartensitic Transformations (ICOMAT-92), 20–24 July 1992, Monterey, California, pp. 959–964.",{},{"id":21,"text":1111,"url":21,"identifiers":1112},"Airoldi, G., Besseghini, S., and Riva, G.,Il Nuovo Cimento,15D (1992) 365–374.",{},{"id":21,"text":1114,"url":21,"identifiers":1115},"Airoldi, G., Besseghini, S., and Riva, G., unpublished results.",{},{"id":21,"text":1117,"url":21,"identifiers":1118},"Amengual, A.,Scr. Met. et Metall.,26 (1992) 1795–1798.",{},{"id":21,"text":1120,"url":21,"identifiers":1121},"Airoldi, G. and Riva, G.,Key Engineering Materials,48 (1990) 5–16.",{},{"id":21,"text":1123,"url":21,"identifiers":1124},"Airoldi, G., Besseghini, S., and Riva, G.,J. de Physique IV,Coll. C2 (1995) 483–488.",{},{"id":21,"text":1126,"url":21,"identifiers":1127},"Airoldi, G., Carcano, G., and Riva, G.,J. de Physique IV,Coll. C4 (1991) 1050–1056.",{},{"id":21,"text":1129,"url":21,"identifiers":1130},"Wayman, C.M., in:Physical Metallurgy, Cahn, R.W. and Haasen, P. (eds), North-Holland Physics Publishing, Elsevier Science Publishers, Amsterdam (1983), pp. 1031–1074.",{},{"id":21,"text":1132,"url":21,"identifiers":1133},"Lovey, F.C., Sade, M., Torra, V., and Amengual, A.,Proc. Int. Conf. on Martensitic Transformations (ICOMAT-92), 20–24 July 1992, Monterey, California, pp. 365–370.",{},{"id":1135,"createTime":1136,"updateTime":1137,"relativeEntities":1138,"slug":1139,"properties":1140,"entityType":115,"verifyStatus":224,"verifyTime":1151,"verifyNote":226,"languages":21,"translateLanguages":21,"viewCount":22,"primaryUrl":1152,"fullTextUrl":21,"authors":1153,"publicationType":150,"publisherRelationship":1226,"citationCount":675,"citationInfo":1277,"publishDate":1280,"publishYear":1278,"citationAnalyzeStatus":962,"lastCitationAnalyze":1281,"indexDatabases":1282,"openAccess":21,"references":21,"isForceReanalyzing":205},"04dd8676-36b4-49bd-8159-43728eafa7b4","2024-01-10T21:46:14.505+00:00","2026-07-23T23:39:32.023+00:00",[],"Dynamic-analysis-of-moving-beams-featuring-time-varying-velocity-under-self-excited-force-moving-along-with-the-end",{"abstract":1141,"title":1143,"gsPaper":1145,"references":1147,"doi":1149},{"EN":1142},"Moving beam is a typical continuous system model. This paper studies the dynamics of moving beams featuring time-varying velocity subjected to a self-excited force moving along with the end, subject to general initial conditions. Based on the D'Alembert principle, the partial differential equation of motion with time-varying parameters for governing transverse vibration of the beam is derived. The equation is discretized by the Galerkin truncation method. A set of ordinary differential equations with transient coefficients is obtained by the Galerkin method. The effects of deployment time and self-excited force on the dynamic response of the beam are investigated by solving the ordinary differential equations. The natural frequencies are obtained by the eigenvalue method. The numerical simulation is employed to analyze the dynamic characteristics of axially moving beams. Furthermore, the effects of parameters such as motion acceleration, excitation, and initial length are discussed theoretically. The numerical results obtained are compared with the results of previous investigations.",{"EN":1144},"Dynamic analysis of moving beams featuring time-varying velocity under self-excited force moving along with the end",{"VOID":1146},"[\"895261182804031802\"]",{"VOID":1148},"Gaiko NV, Horssen WTV (2018) Resonances and vibrations in an elevator cable system due to boundary sway. J Sound Vib 424:272–292\nMa X, Pan G, Zhang P, Xu Q, Shi X, Xiao Z, Han Y (2021) Experimental evaluation of braking pad materials used for high-speed elevator. Wear 477:203872\nQiu L, Wang Z, Zhang S, Zhang L, Chen J, Wang C (2020) A vibration-related design parameter optimization method for high-speed elevator horizontal vibration reduction. Shock Vib 2020:1269170\nNguyen TX, Miura N, Sone A (2019) Analysis and control of vibration of ropes in a high-rise elevator under earthquake excitation. Earthq Eng Eng Vib 18(2):447–460\nGao X, Jin D, Chen T (2018) Analytical and experimental investigations of a space antenna system of four DOFs with internal resonances. Commun Nonlinear Sci Numer Simul 63:380–403\nGao X, Jin D, Chen T (2018) Nonlinear analysis and experimental investigation of a rigid-flexible antenna system. Meccanica 53(1):33–48\nHr ÖZ (2002) Current research on the vibration and stability of axially moving materials. J Sound Vib 259(2):445–456\nAlexander H, Ivo S, Loc V (2020) General sliding-beam formulation: a non-material description for analysis of sliding structures and axially moving beams. J Sound Vib 480:115341\nMarynowski K (2018) Vibration analysis of an axially moving sandwich beam with multiscale composite facings in thermal environment. Int J Mech Sci 146:116–124\nZhang Y, Hou S, Xu K, Yang T, Chen L (2017) Forced vibration control of an axially moving beam with an attached nonlinear energy sink. Acta Mech Solida Sin 30(6):674–682\nAli EM, Hoda S, Masoud R (2020) On the vibrations of axially graded Rayleigh beams under a moving load. Appl Math Model 84:554–570\nTang Y, Zhang Y, Yang X (2018) On parametric instability boundaries of axially moving beams with internal resonance. Acta Mech Solida Sin 31(4):470–483\nWang Y, Ding H, Chen L (2017) Asymptotic solutions of coupled equations of supercritically axially moving beam. Nonlinear Dyn 87(1):25–26\nTang Y, Ma Z (2019) Nonlinear vibration of axially moving beams with internal resonance, speed-dependent tension, and tension-dependent speed. Nonlinear Dyn 98(1):2475–2490\nVetyukov Y (2018) Non-material finite element modelling of large vibrations of axially moving strings and beams. J Sound Vib 414:299–317\nPark S, Yoo HH, Chung J (2013) Vibrations of an axially moving beam with deployment or retraction. AIAA J 51(3):686–696\nYang X, Zhang W, Melnik RVN (2016) Energetics and invariants of axially deploying beam with uniform velocity. AIAA J 54(7):2183–2189\nRong CL Jr, Jung H, Tong C (2010) Vibration and stability of an axially moving Rayleigh beam. Appl Math Model 34:1482–1497\nDing H, Lim C, Chen L (2018) Nonlinear vibration of a traveling belt with non-homogeneous boundaries. J Sound Vib 424:78–93\nZhang Y, Yuan B, Fang B, Chen L (2017) Reducing thermal shock-induced vibration of an axially moving beam via a nonlinear energy sink. Nonlinear Dyn 87(2):1159–1167\nYang T, Fang B, Yang X, Li Y (2013) Closed-form approximate solution for natural frequency of axially moving beams. Int J Mech Sci 74:154–160\nMa G, Xu M, Chen L, An Z, Burdzik R (2015) Transverse free vibration of axially moving stepped beam with different length and tip mass. Shock Vib 2015:507581\nFarokhi H, Ghayesh MH, Amabili M (2013) In-plane and out-of-plane nonlinear dynamics of an axially moving beam. Chaos Solitons Fractals 54:101–121\nZhang W, Sun L, Yang X, Jia P (2013) Nonlinear dynamic behaviors of a deploying-and-retreating wing with varying velocity. J Sound Vib 332:6785–6797\nYang X, Wang S, Zhang W, Qin Z, Yang T (2017) Dynamic analysis of a rotating tapered cantilever Timoshenko beam based on the power series method. Appl Math Mech 38(10):1425–1438\nTang J, Ren G, Zhu W, Ren H (2010) Dynamics of variable-length tethers with application to tethered satellite deployment. Commun Nonlinear Sci Numer Simul 16(8):3411–3424\nTang Y, Chen L (2010) Nonlinear free transverse vibrations of in-plane moving plates: Without and with internal resonances. J Sound Vib 330(1):110–126\nYang X, Ming L, Zhang W, Melnik RVN (2016) Invariant and energy analysis of an axially retracting beam. Chinese J Aeronaut 29(4):952–961\nYan T, Yang T, Chen L (2020) Direct multiscale analysis of stability of an axially moving functionally graded beam with time-dependent velocity. Acta Mech Solida Sin 33(2):150–163\nGhaleh PB, Malaek SM (2015) On dynamic stiffness of spacecraft flexible appendages in deployment phase. Aerosp Sci Technol 47:1–9\nDeng L, Zhang Y (2020) A consistent corotational formulation for the nonlinear dynamic analysis of sliding beams. J Sound Vib 476:115298\nZhu K, Chung J (2015) Nonlinear lateral vibrations of a deploying Euler-Bernoulli beam with a spinning motion. Int J Mech Sci 90:200–212\nZhu K, Chung J (2016) Dynamic modeling and analysis of a spinning Rayleigh beam under deployment. Int J Mech Sci 115:392–405\nÖzkaya E, Pakdemirli M (2000) Vibrations of an axially accelerating beam with small flexural stiffness. J Sound Vib 234:521–535\nÖzkaya E, Pakdemirli M (1999) Vibrations of an axially moving beam with time-dependent velocity. J Sound Vib 227:239–257\nZhang D, Tang Y, Chen L (2017) Irregular instability boundaries of axially accelerating viscoelastic beams with 1:3 internal resonance. Int J Mech Sci 133:535–543\nZhu B, Dong Y, Li Y (2018) Nonlinear dynamics of a viscoelastic sandwich beam with parametric excitations and internal resonance. Nonlinear Dyn 94(4):2575–2612\nWang L, Xu M, Li Y (2018) Vibration analysis of deploying laminated beams with generalized boundary conditions in hygrothermal environment. Compos Struct 207:665–676\nBigoni D, Bosi F, Dal Corso F, Misseroni D (2014) Instability of a penetrating blade. J Mech Phys Solids 64:411–425\nBosi F, Misseroni D, Dal Corso F, Bigoni D (2015) Self-encapsulation, or the ‘dripping’ of an elastic rod. P Roy Soc A-Math Phy 471(2179):20150195\nDal Corso F, Misseroni D, Pugno NM, Movchan AB, Movchan NV, Bigoni D (2017) Serpentine locomotion through elastic energy release. R Soc Interface 14(130):20170055\nDal Corso F, Tallarico D, Movchan NV, Movchan AB, Bigoni D (2019) Nested Bloch waves in elastic structures with configurational forces. P Roy Soc A-Math Phy 377(2156):20190101\nBosi F, Misseroni D, Dal Corso F, Bigoni D (2014) An elastica arm scale. P Roy Soc A-Math Phy 470(2169):20140232\nArmanini C, Dal Corso F, Misseroni D, Bigoni D (2019) Configurational forces and nonlinear structural dynamics. J Mech Phys Solids 130:82–100\nBigoni D, Dal Corso F, Bosi F, Misseroni D (2015) Eshelby-like forces acting on elastic structures: theoretical and experimental proof. Mech Mater 80:368–374\nBosi F, Misseroni D, Dal Corso F, Bigoni D (2015) Development of configurational forces during the injection of an elastic rod. Extreme Mech Lett 4:83–88\nSingh N, Sharma I, Gupta SS (2020) Dynamics of variable length geometrically exact beams in three-dimensions. Int J Solids Struct 191:614–627\nHan S (2022) Configurational forces and geometrically exact formulation of sliding beams in non-material domains. Comput Method Appl M 395:115063\nBoyer F, Lebastard V, Candelier F, Renda F (2022) Extended Hamilton’s principle applied to geometrically exact Kirchhoff sliding rods. J Sound Vib 516:116511\nZhang C, Li C, Xu M, Yao G, Liu Z, Dai W (2022) Cutting force and nonlinear chatter stability of ball-end milling cutter. Int J Adv Manuf Tech 120(9):5885–5908\nMolnar TG, Berezvai S, Kiss AK, Bachrathy D, Stepan G (2019) Experimental investigation of dynamic chip formation in orthogonal cutting. Int J Mach Tools Manuf 145:103429\nMiao H, Wang C, Li C, Yao G, Zhang X, Liu Z, Xu M (2022) Dynamic modeling and nonlinear vibration analysis of spindle system during ball end milling process. Int J Adv Manuf Tech 121(11):7867–7889\nWang C, Miao H, Li C, Li J, Xu M, Liu Z (2022) Effect of cutting vibration on the surface quality of commercially pure titanium (TA2) based on rotor dynamics model analysis. Int J Mech Mater Des 112:1–20\nGibbons TJ, Ozturk E, Xu L, Sims ND (2020) Chatter avoidance via structural modification of tool-holder geometry. Int J Mach-Tools Manuf 150:103514\nXu C, Dou J, Chai Y, Li H, Shi Z, Xu J (2018) The relationships between cutting parameters, tool wear, cutting force and vibration. Adv Mech Eng 10(1):1–14\nWang H, Pei Z, Cong W (2020) A feeding-directional cutting force model for end surface grinding of CFRP composites using rotary ultrasonic machining with elliptical ultrasonic vibration. Int J Mach Tools Manuf 152:103540\nMiao H, Wang C, Hao J, Li C, Xu M, Liu Z (2022) Dynamic analysis of the column-spindle system considering the nonlinear characteristics of kinematic joints. Mech Mach Theory 174:104922\nRubio L, Loya JA, Miguélez MH, Fernández-Sáez J (2013) Optimization of passive vibration absorbers to reduce chatter in boring. Mech Syst Signal Pr 41:691–704\nHao J, Yao Z, Li C, Song W, Miao H, Xu M, Liu Z (2023) Dynamic characteristics analysis of asynchronous motorized spindle considering combined unbalanced magnetic pull and nonlinear bearing restoring force effects. Mech Syst Signal Pr 185:109807\nAl-Bedoor BO, Khulief YA (1996) An approximate analytical solution of beam vibrations during axial motion. J Sound Vib 192:159–171\nBedford A, Liechti KM (2020) Mechanics of materials. Springer Nature, Switzerland.",{"VOID":1150},"10.1007\u002Fs11012-022-01604-7","2024-06-25T03:12:53.459+00:00","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11012-022-01604-7",[1154,1169,1184,1197,1210],{"id":1155,"sortIndex":22,"researcher":21,"roles":1156,"affiliations":1157,"properties":1166,"displayName":1168,"givenName":21,"familyName":21},"a203db0a-760d-45de-9f8f-2c0fa4307876",[123],[1158],{"id":1159,"sortIndex":22,"affiliation":1160,"properties":21},"7e6b7380-3ae1-460f-9431-3e8bdadb47df",{"id":1159,"createTime":21,"updateTime":21,"relativeEntities":1161,"slug":21,"properties":1162,"entityType":21,"verifyStatus":21,"verifyTime":21,"verifyNote":21,"languages":21,"translateLanguages":21,"viewCount":21,"url":21,"parentIds":1165,"statistic":21},[],{"title":1163},{"VI":1164},"School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China",[],{"title":1167},{"VI":1168},"Jin 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J. of Math.,99, 1977, pp. 628–668.",{},{"id":21,"text":1422,"url":21,"identifiers":1423},"Rionero S.,Sulla stabilità magnetoidrodinamica in media con vari tipi di condizioni al contorno, Ricerche di Mat.,17, 1968, pp. 64–78.",{},{"id":21,"text":1425,"url":21,"identifiers":1426},"Rivkind V. Ya., Fridman N.M.,The Navier-Stokes equations with discontinuous coefficients, J. of Sov. Math.,8, 1977, pp. 456–464.",{"doi":1427},"10.1007\u002FBF01084614",{"id":21,"text":1429,"url":21,"identifiers":1430},"Serrin J.,Mathematical principles of classical fluid mechanics, Handb. Phys.,8, 1959, pp. 125–263.",{},{"id":21,"text":1432,"url":21,"identifiers":1433},"Joseph D.D., Fosdick R.L.,The free surface on a liquid between cylindre rotating at a different speeds, Arch. Rat. Mech. 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Math.,125, 1973, pp. 186–199.",{},{"id":21,"text":1447,"url":21,"identifiers":1448},"Mikhlin S.G.,The problem of the minimum of a quadratic functional, Holden-Day, San Francisco, 1965.",{},{"id":21,"text":1450,"url":21,"identifiers":1451},"Solonnikov V.A.,On estimates of Green tensors for certain boundary problems, Dokl. Akad. Nauk. SSSR,130, 1960, pp. 988–991.",{},{"id":21,"text":1453,"url":21,"identifiers":1454},"Cattabriga L.,Su un problema al contorno relativo al sistema di Stokes, Rend. Sem. Mat. Univ. Padova,31, 1961, pp. 308–340.",{},{"id":21,"text":1456,"url":21,"identifiers":1457},"Ladyzhenskaya O.A.,The Mathematical Theory of Viscous Incompressible Flow, Gordon and Breach, New-York, 1969.",{},{"id":21,"text":1459,"url":21,"identifiers":1460},"Kato T.,Perturbation theory for linear operators, Springer Verlag, Berlin, 1966.",{},{"id":21,"text":1462,"url":21,"identifiers":1463},"Taylor A.E.,Introduction to functional analysis, Wiley, New-York, 1958.",{},{"id":21,"text":1465,"url":21,"identifiers":1466},"Adams R.A.,Sobolev spaces, Academic Press, New-York, 1975.",{},{"id":21,"text":1468,"url":21,"identifiers":1469},"Prodi G.,Teoremi di tipo locale per il sistema di Navier-Stokes e stabilità delle soluzioni stazionarie, Rend. Sem. Mat. Univ. Padova,32, 1962, pp. 374–397.",{},{"id":21,"text":1471,"url":21,"identifiers":1472},"Temam R.,Navier-Stokes equations, North-Holland Publ. Comp., Amsterdam, 1979.",{},{"id":21,"text":1474,"url":21,"identifiers":1475},"Heywood J.G.,The Navier-Stokes equations: On the existence, regularity and decay of solutions, Indiana Univ. Math.,29, 1980, pp. 639–681.",{"doi":1476},"10.1512\u002Fiumj.1980.29.29048",{"id":21,"text":1478,"url":21,"identifiers":1479},"Kaniel S., Shimbrot M.,A reproductive property of the Navier-Stokes equations, Arch. Rat. Mech. Anal.,24, 1967, 363–369.",{"doi":1480},"10.1007\u002FBF00253153",{"id":21,"text":1482,"url":21,"identifiers":1483},"Lions J.L., Magenes E.,Nonhomogeneous boundary value problems and applications, Springer-Verlag, Berlin, 1972.",{},{"id":21,"text":1485,"url":21,"identifiers":1486},"Beale J.T.,The initial problem for the Navier-Stokes equations with a free surface, Comm. on Pure and Appl. Math.,34, 1981, 359–392.",{"doi":1487},"10.1002\u002Fcpa.3160340305"]