Nội dung được dịch bởi AI, chỉ mang tính chất tham khảo
Phân bố ứng suất và tuổi thọ mỏi của sự rung động phi tuyến của một dầm chuyển động trục
Tóm tắt
Trong bài báo này, tác động của rung động phi tuyến đến sự phân bố ứng suất và tuổi thọ mỏi của dầm chuyển động trục được nghiên cứu. Sự kích thích tham số của vật liệu dẻo được tạo ra bởi tốc độ di chuyển dao động. Điều kiện cộng hưởng nội ba ăn khớp được thỏa mãn. Mô hình ba tham số được áp dụng trong mối quan hệ cấu tạo nhớt đàn hồi. Rung động phi tuyến của dầm chuyển động trục với cộng hưởng tham số và nội tại được nghiên cứu bằng phương pháp thang số trực tiếp (MSM) với sự xác nhận bằng mô phỏng số. Dựa trên giải pháp phân tích gần đúng, sự phân bố ứng suất kéo và ứng suất uốn trên dầm chuyển động trục được trình bày bằng cách áp dụng một dây đai V làm nguyên mẫu. Dựa trên ứng suất chu kỳ ổn định tối đa, phản ứng chu kỳ giới hạn của dây đai V được sử dụng để đánh giá tác động của cộng hưởng lên tuổi thọ mỏi. Ngoài ra, ảnh hưởng của cộng hưởng nội tại lên các phản ứng trạng thái ổn định và tuổi thọ mỏi của dây đai V cũng được làm sáng tỏ. Các ví dụ số minh họa rằng các cộng hưởng không mong muốn lớn xảy ra và chế độ bậc hai nhận năng lượng rung động từ chế độ bậc nhất. Các kết quả số chứng minh rằng rung động phi tuyến làm giảm đáng kể tuổi thọ mỏi của dây đai V. Phương pháp phân tích tuổi thọ mỏi trong bài viết này có thể áp dụng cho rung động kích thích của các hệ thống chuyển động trục khác và thậm chí là các dạng liên tục tĩnh.
Từ khóa
#rung động phi tuyến #dầm chuyển động trục #phân bố ứng suất #tuổi thọ mỏi #cộng hưởng nội tại #mô hình ba tham sốTài liệu tham khảo
citation_journal_title=J Sound Vib; citation_title=Travelling load response of an axially moving string; citation_author=J A Wickert, C D Mote; citation_volume=149; citation_publication_date=1991; citation_pages=267-284; citation_doi=10.1016/0022-460X(91)90636-X; citation_id=CR1
citation_journal_title=Appl Mech Rev; citation_title=Analysis and control of transverse vibrations of axially moving strings; citation_author=L Q Chen; citation_volume=58; citation_publication_date=2005; citation_pages=91-116; citation_doi=10.1115/1.1849169; citation_id=CR2
citation_journal_title=Int J Mech Sci; citation_title=Dynamics of axially moving continua; citation_author=K Marynowski, T Kapitaniak; citation_volume=81; citation_publication_date=2014; citation_pages=26-41; citation_doi=10.1016/j.ijmecsci.2014.01.017; citation_id=CR3
citation_journal_title=J Sound Vib; citation_title=Non-linear vibrations of viscoelastic moving belts, part I: Free vibration analysis; citation_author=L Zhang, J W Zu; citation_volume=216; citation_publication_date=1998; citation_pages=75-91; citation_doi=10.1006/jsvi.1998.1688; citation_id=CR4
citation_journal_title=J Comput Nonlinear Dynam; citation_title=Strongly nonlinear subharmonic resonance and chaotic motion of axially moving thin plate in magnetic field; citation_author=Y D Hu, P Hu, J Z Zhang; citation_volume=10; citation_publication_date=2015; citation_pages=021010; citation_doi=10.1115/1.4027490; citation_id=CR5
citation_journal_title=Sci China Ser G-Phys Mech Astron; citation_title=Steady-state responses of axially accelerating viscoelastic beams: Approximate analysis and numerical confirmation; citation_author=L Q Chen, H Ding; citation_volume=51; citation_publication_date=2008; citation_pages=1707-1721; citation_doi=10.1007/s11433-008-0171-x; citation_id=CR6
citation_journal_title=Nonlinear Dyn; citation_title=Nonlinear vibrations of spring-supported axially moving string; citation_author=A Kesimli, E Özkaya, S M Bağdatli; citation_volume=81; citation_publication_date=2015; citation_pages=1523-1534; citation_doi=10.1007/s11071-015-2086-1; citation_id=CR7
citation_journal_title=IEEE Trans Ind Electron; citation_title=Attitude-rate measurement and control integration using magnetically suspended control and sensitive gyroscopes; citation_author=Y Ren, X Chen, Y Cai; citation_volume=65; citation_publication_date=2018; citation_pages=4921-4932; citation_doi=10.1109/TIE.2017.2772161; citation_id=CR8
citation_journal_title=Acta Mech Sin; citation_title=Dynamic behaviour of axially moving nanobeams based on nonlocal elasticity approach; citation_author=C W Lim, C Li, J L Yu; citation_volume=26; citation_publication_date=2010; citation_pages=755-765; citation_doi=10.1007/s10409-010-0374-z; citation_id=CR9
citation_journal_title=Composite Struct; citation_title=Dynamic analysis of an axially moving sandwich beam with viscoelastic core; citation_author=K Marynowski; citation_volume=94; citation_publication_date=2012; citation_pages=2931-2936; citation_doi=10.1016/j.compstruct.2012.03.040; citation_id=CR10
citation_journal_title=J Sound Vib; citation_title=Theoretical and experimental study on the transverse vibration properties of an axially moving nested cantilever beam; citation_author=Y C Duan, J P Wang, J Q Wang; citation_volume=333; citation_publication_date=2014; citation_pages=2885-2897; citation_doi=10.1016/j.jsv.2014.02.021; citation_id=CR11
citation_journal_title=J Vib Acoust; citation_title=Steady-state responses of pulley-belt systems with a one-way clutch and belt bending stiffness; citation_author=H Ding, J W Zu; citation_volume=136; citation_publication_date=2014; citation_pages=041006; citation_doi=10.1115/1.4027456; citation_id=CR12
citation_journal_title=Chaos Solitons Fractals; citation_title=Global bifurcations and chaotic dynamics for a string-beam coupled system; citation_author=D X Cao, W Zhang; citation_volume=37; citation_publication_date=2008; citation_pages=858-875; citation_doi=10.1016/j.chaos.2006.09.072; citation_id=CR13
citation_journal_title=J Dyn Sys Meas Control; citation_title=Stabilization of an axially moving string by nonlinear boundary feedback; citation_author=R F Fung, J W Wu, S L Wu; citation_volume=121; citation_publication_date=1999; citation_pages=117-121; citation_doi=10.1115/1.2802428; citation_id=CR14
citation_journal_title=J Sound Vib; citation_title=Spectral analysis for the transverse vibration of an axially moving Timoshenko beam; citation_author=U Lee, J Kim, H Oh; citation_volume=271; citation_publication_date=2004; citation_pages=685-703; citation_doi=10.1016/S0022-460X(03)00300-6; citation_id=CR15
citation_journal_title=AIAA J; citation_title=Energetics and invariants of axially deploying beam with uniform velocity; citation_author=X D Yang, W Zhang, R V N Melnik; citation_volume=54; citation_publication_date=2016; citation_pages=2183-2189; citation_doi=10.2514/1.J054383; citation_id=CR16
citation_journal_title=Meccanica; citation_title=Reliability and sensitivity analysis of an axially moving beam; citation_author=G Yao, Y Zhang; citation_volume=51; citation_publication_date=2016; citation_pages=491-499; citation_doi=10.1007/s11012-015-0232-y; citation_id=CR17
citation_journal_title=J Vib Acoust; citation_title=Forced vibrations of super-critically transporting viscoelastic beams; citation_author=H Ding, G C Zhang, L Q Chen; citation_volume=134; citation_publication_date=2012; citation_pages=051007; citation_doi=10.1115/1.4006184; citation_id=CR18
citation_journal_title=Sci China Ser G-Phys Mech Astron; citation_title=Asymptotic analysis ofa vibrating cantilever with a nonlinear boundary; citation_author=L Q Chen, C W Lim, Q Q Hu; citation_volume=52; citation_publication_date=2009; citation_pages=1414-1422; citation_doi=10.1007/s11433-009-0185-z; citation_id=CR19
citation_journal_title=Nonlinear Dyn; citation_title=Nonlinear dynamics of axially moving beam with coupled longitudinal-transversal vibrations; citation_author=X D Yang, W Zhang; citation_volume=78; citation_publication_date=2014; citation_pages=2547-2556; citation_doi=10.1007/s11071-014-1609-5; citation_id=CR20
citation_journal_title=Appl Math Mech-Engl Ed; citation_title=Dynamic response ofaxially moving Timoshenko beams: Integral transform solution; citation_author=C An, J Su; citation_volume=35; citation_publication_date=2014; citation_pages=1421-1436; citation_doi=10.1007/s10483-014-1879-7; citation_id=CR21
citation_journal_title=J Vib Acoust; citation_title=Dynamic response of an axially moving beam coupled to hydrodynamic bearings; citation_author=C A Tan, B Yang, C D Mote; citation_volume=115; citation_publication_date=1993; citation_pages=9-15; citation_doi=10.1115/1.2930322; citation_id=CR22
citation_journal_title=J Comput Nonlinear Dynam; citation_title=Nonlinear dynamical behavior of axially accelerating beams: Three-dimensional analysis; citation_author=M H Ghayesh, H Farokhi; citation_volume=11; citation_publication_date=2016; citation_pages=011010; citation_doi=10.1115/1.4029905; citation_id=CR23
citation_journal_title=J Sound Vib; citation_title=Transition behaviour from string to beam for an axially accelerating material; citation_author=H R Öz, M Pakdemirli, E Özkaya; citation_volume=215; citation_publication_date=1998; citation_pages=571-576; citation_doi=10.1006/jsvi.1998.1572; citation_id=CR24
citation_journal_title=Archive Appl Mech (Ingenieur Archiv); citation_title=Low-dimensional chaotic response of axially accelerating continuum in the supercritical regime; citation_author=B Ravindra, W D Zhu; citation_volume=68; citation_publication_date=1998; citation_pages=195-205; citation_doi=10.1007/s004190050157; citation_id=CR25
citation_journal_title=Nonlinear Dyn; citation_title=Periodic responses and chaotic behaviors of an axially accelerating viscoelastic Timoshenko beam; citation_author=Q Y Yan, H Ding, L Q Chen; citation_volume=78; citation_publication_date=2014; citation_pages=1577-1591; citation_doi=10.1007/s11071-014-1535-6; citation_id=CR26
citation_journal_title=Acta Mech; citation_title=Dynamic analysis of an axially translating viscoelastic beam with an arbitrarily varying length; citation_author=L H Wang, Z D Hu, Z Zhong; citation_volume=214; citation_publication_date=2010; citation_pages=225-244; citation_doi=10.1007/s00707-010-0287-8; citation_id=CR27
citation_journal_title=Nonlinear Dyn; citation_title=Parametrically excited non-linear moving beams with and without external forcing; citation_author=G Chakraborty, A K Mallik; citation_volume=17; citation_publication_date=1998; citation_pages=301-324; citation_doi=10.1023/A:1008391503175; citation_id=CR28
citation_journal_title=Int J Appl Mech; citation_title=Periodic and chaotic responses of an axially accelerating viscoelastic beam under two-frequency excitations; citation_author=H Ding, J W Zu; citation_volume=05; citation_publication_date=2013; citation_pages=1350019; citation_doi=10.1142/S1758825113500191; citation_id=CR29
citation_journal_title=Int J Str Stab Dyn; citation_title=Vibration and stability analysis of axially moving beams with variable speed and axial force; citation_author=B B Özhan; citation_volume=14; citation_publication_date=2014; citation_pages=1450015; citation_doi=10.1142/S0219455414500151; citation_id=CR30
citation_journal_title=Int J Non-Linear Mech; citation_title=Non-linear vibrations and stability of an axially moving beam with time-dependent velocity; citation_author=H R Öz, M Pakdemirli, H Boyaci; citation_volume=36; citation_publication_date=2001; citation_pages=107-115; citation_doi=10.1016/S0020-7462(99)00090-6; citation_id=CR31
citation_journal_title=Appl Math Model; citation_title=Transverse vibration of viscoelastic sandwich beam with time-dependent axial tension and axially varying moving velocity; citation_author=H Lv, Y Li, L Li; citation_volume=38; citation_publication_date=2014; citation_pages=2558-2585; citation_doi=10.1016/j.apm.2013.10.055; citation_id=CR32
citation_journal_title=J Sound Vib; citation_title=Nonlinear dynamics of higher-dimensional system for an axially accelerating viscoelastic beam with in-plane and out-of-plane vibrations; citation_author=L H Chen, W Zhang, F H Yang; citation_volume=329; citation_publication_date=2010; citation_pages=5321-5345; citation_doi=10.1016/j.jsv.2010.06.023; citation_id=CR33
citation_journal_title=Acta Mech Sin; citation_title=Steady-state responses ofa belt-drive dynamical system under dual excitations; citation_author=H Ding; citation_volume=32; citation_publication_date=2016; citation_pages=156-169; citation_doi=10.1007/s10409-015-0510-x; citation_id=CR34
citation_journal_title=Int J Non-Linear Mech; citation_title=Coupled, forced response of an axially moving strip with internal resonance; citation_author=C H Riedel, C A Tan; citation_volume=37; citation_publication_date=2002; citation_pages=101-116; citation_doi=10.1016/S0020-7462(00)00100-1; citation_id=CR35
citation_journal_title=Int J Nonlin Sci Num; citation_title=Internal resonance of coupled non-planar vibrations of an axially moving cable with small sag; citation_author=L F Lu, Y F Wang, Y X Liu; citation_volume=10; citation_publication_date=2009; citation_pages=341-352; citation_doi=10.1515/IJNSNS.2009.10.3.341; citation_id=CR36
citation_journal_title=J Sound Vib; citation_title=Multi-pulse Chaotic dynamics in non-planar motion of parametrically excited viscoelastic moving belt; citation_author=M Yao, W Zhang, J W Zu; citation_volume=331; citation_publication_date=2012; citation_pages=2624-2653; citation_doi=10.1016/j.jsv.2012.01.027; citation_id=CR37
citation_journal_title=Nonlinear Dyn; citation_title=Primary resonance in forced vibrations of inplane translating viscoelastic plates with 3:1 internal resonance; citation_author=Y Q Tang, L Q Chen; citation_volume=69; citation_publication_date=2012; citation_pages=159-172; citation_doi=10.1007/s11071-011-0253-6; citation_id=CR38
citation_journal_title=J Sound Vib; citation_title=Internal resonance of axially moving laminated circular cylindrical shells; citation_author=Y Q Wang, L Liang, X H Guo; citation_volume=332; citation_publication_date=2013; citation_pages=6434-6450; citation_doi=10.1016/j.jsv.2013.07.007; citation_id=CR39
citation_journal_title=J Sound Vib; citation_title=Internal resonance of an axially moving unidirectional plate partially immersed in fluid under foundation displacement excitation; citation_author=H Y Li, J Li, Y J Liu; citation_volume=358; citation_publication_date=2015; citation_pages=124-141; citation_doi=10.1016/j.jsv.2015.07.030; citation_id=CR40
citation_journal_title=Appl Math Model; citation_title=Infinite mode analysis of a general model with external harmonic excitation; citation_author=B Gültekin Sinir; citation_volume=39; citation_publication_date=2015; citation_pages=1823-1836; citation_doi=10.1016/j.apm.2014.10.001; citation_id=CR41
citation_journal_title=J Vib Acoust; citation_title=Modeling of nonlinear oscillations for viscoelastic moving belt using generalized Hamilton’s principle; citation_author=L H Chen, W Zhang, Y Q Liu; citation_volume=129; citation_publication_date=2007; citation_pages=128-132; citation_doi=10.1115/1.2346691; citation_id=CR42
citation_journal_title=J Sound Vib; citation_title=A general solution procedure for the forced vibrations of a continuous system with cubic nonlinearities: Primary resonance case; citation_author=B Burak Özhan, M Pakdemirli; citation_volume=325; citation_publication_date=2009; citation_pages=894-906; citation_doi=10.1016/j.jsv.2009.04.009; citation_id=CR43
citation_journal_title=Arch Appl Mech; citation_title=Multi-pulse homoclinic orbits and chaotic dynamics for an axially moving viscoelastic beam; citation_author=W Yu, F Chen; citation_volume=83; citation_publication_date=2013; citation_pages=647-660; citation_doi=10.1007/s00419-012-0709-2; citation_id=CR44
citation_journal_title=J Sound Vib; citation_title=Multidimensional Lindstedt-Poincaré method for nonlinear vibration of axially moving beams; citation_author=S H Chen, J L Huang, K Y Sze; citation_volume=306; citation_publication_date=2007; citation_pages=1-11; citation_doi=10.1016/j.jsv.2007.05.038; citation_id=CR45
citation_journal_title=J Sound Vib; citation_title=The incremental harmonic balance method for nonlinear vibration of axially moving beams; citation_author=K Y Sze, S H Chen, J L Huang; citation_volume=281; citation_publication_date=2005; citation_pages=611-626; citation_doi=10.1016/j.jsv.2004.01.012; citation_id=CR46
citation_journal_title=J Sound Vib; citation_title=Stability and bifurcation of an axially moving beam tuned to three-to-one internal resonances; citation_author=J L Huang, R K L Su, W H Li; citation_volume=330; citation_publication_date=2011; citation_pages=471-485; citation_doi=10.1016/j.jsv.2010.04.037; citation_id=CR47
citation_journal_title=Nonlinear Dyn; citation_title=Nonlinear dynamics of an axially moving Timoshenko beam with an internal resonance; citation_author=M H Ghayesh, M Amabili; citation_volume=73; citation_publication_date=2013; citation_pages=39-52; citation_doi=10.1007/s11071-013-0765-3; citation_id=CR48
citation_journal_title=J Vib Control; citation_title=Nonlinear stability and bifurcations of an axially moving beam in thermal environment; citation_author=M H Ghayesh, M Amabili; citation_volume=21; citation_publication_date=2015; citation_pages=2981-2994; citation_doi=10.1177/1077546313508576; citation_id=CR49
citation_journal_title=Appl Math Mech-Engl Ed; citation_title=Primary resonance of traveling viscoelastic beam under internal resonance; citation_author=H Ding, L Huang, X Mao; citation_volume=38; citation_publication_date=2017; citation_pages=1-14; citation_doi=10.1007/s10483-016-2152-6; citation_id=CR50
citation_journal_title=Nonlinear Dyn; citation_title=Two-frequency parametric excitation and internal resonance of a moving viscoelastic beam; citation_author=B Sahoo, L N Panda, G Pohit; citation_volume=82; citation_publication_date=2015; citation_pages=1721-1742; citation_doi=10.1007/s11071-015-2272-1; citation_id=CR51
citation_journal_title=Int J Non-Linear Mech; citation_title=Combination, principal parametric and internal resonances of an accelerating beam under two frequency parametric excitation; citation_author=B Sahoo, L N Panda, G Pohit; citation_volume=78; citation_publication_date=2016; citation_pages=35-44; citation_doi=10.1016/j.ijnonlinmec.2015.09.017; citation_id=CR52
citation_journal_title=Nonlinear Dyn; citation_title=Parametric and internal resonance of axially accelerating viscoelastic beams with the recognition of longitudinally varying tensions; citation_author=Y Q Tang, D B Zhang, J M Gao; citation_volume=83; citation_publication_date=2016; citation_pages=401-418; citation_doi=10.1007/s11071-015-2336-2; citation_id=CR53
citation_journal_title=Chaos Solitons Fractals; citation_title=The chaotic response of the viscoelastic traveling string: An integral constitutive law; citation_author=L Q Chen, J Wu, J W Zu; citation_volume=21; citation_publication_date=2004; citation_pages=349-357; citation_doi=10.1016/j.chaos.2003.10.037; citation_id=CR54
citation_journal_title=Sci China Technol Sci; citation_title=Nonlinear combination parametric resonance ofaxially accelerating viscoelastic strings constituted by the standard linear solid model; citation_author=L Q Chen, H Chen, H Ding; citation_volume=53; citation_publication_date=2010; citation_pages=645-655; citation_doi=10.1007/s11431-010-0068-6; citation_id=CR55
citation_journal_title=Appl Math Mech-Engl Ed; citation_title=Asymptotic analysis on weakly forced vibration of axially moving viscoelastic beam constituted by standard linear solid model; citation_author=B Wang; citation_volume=33; citation_publication_date=2012; citation_pages=817-828; citation_doi=10.1007/s10483-012-1588-8; citation_id=CR56
citation_journal_title=Computational Methods in Applied Sciences; citation_title=Dynamic analysis for axially moving viscoelastic poynting-thomson beams. In: Mathematical Modeling and Optimization of Complex Structures; citation_author=T Saksa, J Jeronen; citation_volume=40; citation_publication_date=2016; citation_pages=131-151; citation_doi=10.1007/978-3-319-23564-6_9; citation_id=CR57
citation_journal_title=J Strain Anal Eng Des; citation_title=Stress intensity factors and fatigue life of beams in reversed bending; citation_author=R Moobola, D A Hills, D Nowell; citation_volume=32; citation_publication_date=1997; citation_pages=401-409; citation_doi=10.1243/0309324971513517; citation_id=CR58
citation_journal_title=Int J Fatigue; citation_title=A literature survey on fatigue analysis approaches for rubber; citation_author=W Mars, A Fatemi; citation_volume=24; citation_publication_date=2002; citation_pages=949-961; citation_doi=10.1016/S0142-1123(02)00008-7; citation_id=CR59
citation_journal_title=Damage Fracture Mech; citation_title=Influence of residual stresses on the fatigue behaviour of welded beams; citation_author=E Quadrini, J P Bergmann; citation_volume=19; citation_publication_date=1998; citation_pages=639-648; citation_id=CR60
citation_journal_title=IntJ Automot Technol; citation_title=Durability improvement of automotive v-belt pulley; citation_author=B Kim, Y Kim, D M Chun; citation_volume=10; citation_publication_date=2009; citation_pages=73-77; citation_doi=10.1007/s12239-009-0009-1; citation_id=CR61
citation_journal_title=Eng Failure Anal; citation_title=Fatigue failure investigation on anti-vibration springs; citation_author=R K Luo, W J Mortel, X P Wu; citation_volume=16; citation_publication_date=2009; citation_pages=1366-1378; citation_doi=10.1016/j.engfailanal.2008.09.005; citation_id=CR62
citation_journal_title=Fatigue Fract Eng Mater Struct; citation_title=Fatigue crack growth through a residual stress field introduced by plastic beam bending; citation_author=K W Jones, M L Dunn; citation_volume=31; citation_publication_date=2008; citation_pages=863-875; citation_doi=10.1111/j.1460-2695.2008.01274.x; citation_id=CR63
citation_journal_title=Polymer Testing; citation_title=Effect of nature and type of flaw on the properties of a natural rubber compound; citation_author=F E Ngolemasango, G E Nkeng, C O’Connor; citation_volume=28; citation_publication_date=2009; citation_pages=463-469; citation_doi=10.1016/j.polymertesting.2009.02.007; citation_id=CR64
citation_title=Design of Machine Elements; citation_publication_date=1985; citation_id=CR65; citation_author=M F Spotts; citation_publisher=Prentice-Hall Inc