Dynamics of imperfect inhomogeneous nanoplate with exponentially-varying properties resting on viscoelastic foundation

European Journal of Mechanics - A/Solids - Tập 95 - Trang 104649 - 2022
Guoliang Liu1, Shengbin Wu2, Davood Shahsavari3, Behrouz Karami3, Abdelouahed Tounsi4,5
1School of Textile Garment and Design, Changshu Institute of Technology, Changshu, 215500, Jiangsu, China
2Center of Modern Educational Technology, Guizhou University of Finance and Economics, Guiyang, 550000, Guizhou, China
3Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
4YFL (Yonsei Frontier Lab), Yonsei University, Seoul, South Korea
5Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria

Tài liệu tham khảo

Abdelrahman, 2021, Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory, Appl. Math. Model., 96, 215, 10.1016/j.apm.2021.03.008 Adhikari, 2021, Dynamic stiffness of nonlocal damped nano-beams on elastic foundation, Eur. J. Mech. Solid., 86, 104144, 10.1016/j.euromechsol.2020.104144 Anitescu, 2019, Artificial neural network methods for the solution of second order boundary value problems, Comput. Mater. Continua (CMC), 59, 345, 10.32604/cmc.2019.06641 Aria, 2019, A finite element model for the thermo-elastic analysis of functionally graded porous nanobeams, Eur. J. Mech. Solid., 77, 103767, 10.1016/j.euromechsol.2019.04.002 Barretta, 2015, Analogies between nonlocal and local Bernoulli-Euler nanobeams, Arch. Appl. Mech., 85, 89, 10.1007/s00419-014-0901-7 Belkorissat, 2015, On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model, Steel Compos. Struct., 18, 1063, 10.12989/scs.2015.18.4.1063 Bharti, 2013, Novel applications of functionally graded nano, optoelectronic and thermoelectric materials, Int. J. Mach. Mach. Mater., 1, 221 Chen, 2021, Dynamic response of double-FG porous beam system subjected to moving load, Eng. Comput., 1 Ding, 2016, State-space based time integration method for structural systems involving multiple nonviscous damping models, Comput. Struct., 171, 31, 10.1016/j.compstruc.2016.04.002 Eringen, 1972, Nonlocal polar elastic continua, Int. J. Eng. Sci., 10, 1, 10.1016/0020-7225(72)90070-5 Eringen, 1983, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, J. Appl. Phys., 54, 4703, 10.1063/1.332803 Esen, 2020, Dynamics analysis of timoshenko perforated microbeams under moving loads, Eng. Comput., 1 Esen, 2021, On vibration of sigmoid/symmetric functionally graded nonlocal strain gradient nanobeams under moving load, Int. J. Mech. Mater. Des., 1 Eyvazian, 2020, On the dynamic of graphene reinforced nanocomposite cylindrical shells subjected to a moving harmonic load, Int. J. Eng. Sci., 154, 103339, 10.1016/j.ijengsci.2020.103339 Gaur H. Solution of Structural Mechanic's Problems by Machine Learning. Guo, 2021 Guo, 2022, Dynamic response of porous E-FGM thick microplate resting on elastic foundation subjected to moving load with acceleration, Thin-Walled Struct., 173, 108981, 10.1016/j.tws.2022.108981 Hosseini, 2017, Forced vibrations of fluid-conveyed double piezoelectric functionally graded micropipes subjected to moving load, Microfluid. Nanofluidics, 21, 1, 10.1007/s10404-017-1963-y Hosseini-Hashemi, 2018, Three dimensional dynamic response of functionally graded nanoplates under a moving load, Struct. Eng. Mech.: Int. J., 66, 249 Karami, 2019, A new size-dependent shear deformation theory for free vibration analysis of functionally graded/anisotropic nanobeams, Thin-Walled Struct., 143, 106227, 10.1016/j.tws.2019.106227 Karami, 2019, A new size-dependent shear deformation theory for wave propagation analysis of triclinic nanobeams, Steel Compos. Struct., 32, 213 Karami, 2019, Characteristics of elastic waves in radial direction of anisotropic solid sphere, a new closed-form solution, Eur. J. Mech. Solid., 76, 36, 10.1016/j.euromechsol.2019.03.008 Karami, 2018, Nonlocal strain gradient 3D elasticity theory for anisotropic spherical nanoparticles, Steel Compos. Struct., 27, 201 Karami, 2019, Analysis of elastic bulk waves in functionally graded triclinic nanoplates using a quasi-3D bi-Helmholtz nonlocal strain gradient model, Eur. J. Mech. Solid., 78, 103822, 10.1016/j.euromechsol.2019.103822 Karami, 2022, On the stress analysis of anisotropic curved panels, Int. J. Eng. Sci., 172, 103625, 10.1016/j.ijengsci.2022.103625 Karami, 2022, Forced vibration analysis of anisotropic curved panels via a quasi-3D model in orthogonal curvilinear coordinate, Thin-Walled Struct., 175, 109254, 10.1016/j.tws.2022.109254 Ke, 2005, Nanoelectromechanical systems and modeling, Handb. Theor. Comput. Nanotechnol., 1, 1 Khaniki, 2017, The size-dependent analysis of multilayered microbridge systems under a moving load/mass based on the modified couple stress theory, Eur. Phys. J. Plus, 132, 1 Khdeir, 1989, Exact solutions for the transient response of symmetric cross-ply laminates using a higher-order plate theory, Compos. Sci. Technol., 34, 205, 10.1016/0266-3538(89)90029-8 Kiani, 2011, Nonlocal continuum-based modeling of a nanoplate subjected to a moving nanoparticle. Part II: parametric studies, Phys. E Low-dimens. Syst. Nanostruct., 44, 249, 10.1016/j.physe.2011.08.021 Kiani, 2017, Dynamics of FG-CNT reinforced composite cylindrical panel subjected to moving load, Thin-Walled Struct., 111, 48, 10.1016/j.tws.2016.11.011 Kiani, 2012, On the interaction of a single-walled carbon nanotube with a moving nanoparticle using nonlocal Rayleigh, Timoshenko, and higher-order beam theories, Eur. J. Mech. Solid., 31, 179, 10.1016/j.euromechsol.2011.07.008 Kuncser, 2016 Liu, 2014, A novel computational inverse technique for load identification using the shape function method of moving least square fitting, Comput. Struct., 144, 127, 10.1016/j.compstruc.2014.08.002 Madenci, 2021, Free vibration analysis of carbon nanotube RC nanobeams with variational approaches, Adv. Nano Res., 11, 157 Mahamood, 2017, Types of functionally graded materials and their areas of application, 9 Malekzadeh, 2009, Three-dimensional dynamic analysis of laminated composite plates subjected to moving load, Compos. Struct., 90, 105, 10.1016/j.compstruct.2009.02.008 Mehar, 2018, Finite-element solution to nonlocal elasticity and scale effect on frequency behavior of shear deformable nanoplate structure, J. Eng. Mech., 144, 10.1061/(ASCE)EM.1943-7889.0001519 Miyamoto, 2013 Nami, 2015, Dynamic analysis of isotropic nanoplates subjected to moving load using state-space method based on nonlocal second order plate theory, J. Mech. Sci. Technol., 29, 2423, 10.1007/s12206-015-0539-6 Nami, 2015, Free vibration of functionally graded size dependent nanoplates based on second order shear deformation theory using nonlocal elasticity theory, Iranian J. Sci. Technol. Transact. Mechan. Eng., 39, 15 Ouyang, 2011, Moving-load dynamic problems: a tutorial (with a brief overview), Mech. Syst. Signal Process., 25, 2039, 10.1016/j.ymssp.2010.12.010 Pabst, 2004, Effective elastic properties of alumina-zirconia composite ceramics-Part 2. Micromechanical modeling, Ceramics, 48, 14 Phung-Van, 2019, An isogeometric approach of static and free vibration analyses for porous FG nanoplates, Eur. J. Mech. Solid., 78, 103851, 10.1016/j.euromechsol.2019.103851 Praharaj, 2020, Dynamic response of plates resting on a fractional viscoelastic foundation and subjected to a moving load, Mech. Base. Des. Struct. Mach., 1 Rabczuk, 2019, A nonlocal operator method for partial differential equations with application to electromagnetic waveguide problem, Comput. Mater. Continua (CMC), 59 Reddy, 2003 Reddy, 2006 Reddy, 2014, Three-dimensional elasticity solution for free vibrations of exponentially graded plates, J. Eng. Mech., 140, 10.1061/(ASCE)EM.1943-7889.0000756 Ren, 2020, A nonlocal operator method for solving partial differential equations, Comput. Methods Appl. Mech. Eng., 358, 112621, 10.1016/j.cma.2019.112621 Romano, 2016, Comment on the paper “exact solution of Eringen's nonlocal integral model for bending of euler–Bernoulli and timoshenko beams” by meral tuna & mesut kirca, Int. J. Eng. Sci., 240, 10.1016/j.ijengsci.2016.09.009 Romano, 2017, Nonlocal elasticity in nanobeams: the stress-driven integral model, Int. J. Eng. Sci., 115, 14, 10.1016/j.ijengsci.2017.03.002 Roudbari, 2020, Transient responses of two mutually interacting single-walled boron nitride nanotubes induced by a moving nanoparticle, Eur. J. Mech. Solid., 82, 103978, 10.1016/j.euromechsol.2020.103978 Şimşek, 2010, Dynamic analysis of an embedded microbeam carrying a moving microparticle based on the modified couple stress theory, Int. J. Eng. Sci., 48, 1721, 10.1016/j.ijengsci.2010.09.027 Şimşek, 2011, Nonlocal effects in the forced vibration of an elastically connected double-carbon nanotube system under a moving nanoparticle, Comput. Mater. Sci., 50, 2112, 10.1016/j.commatsci.2011.02.017 Şimşek, 2015, Size-dependent vibration of a microplate under the action of a moving load based on the modified couple stress theory, Acta Mech., 226, 3807, 10.1007/s00707-015-1437-9 Safarpour, 2019, A size-dependent exact theory for thermal buckling, free and forced vibration analysis of temperature dependent FG multilayer GPLRC composite nanostructures restring on elastic foundation, Int. J. Mech. Mater. Des., 15, 569, 10.1007/s10999-018-9431-8 Sahmani, 2021, Large-amplitude oscillations of composite conical nanoshells with in-plane heterogeneity including surface stress effect, Appl. Math. Model., 89, 1792, 10.1016/j.apm.2020.08.039 Samaniego, 2020, An energy approach to the solution of partial differential equations in computational mechanics via machine learning: concepts, implementation and applications, Comput. Methods Appl. Mech. Eng., 362, 112790, 10.1016/j.cma.2019.112790 Shahsavari, 2017, Bending and shearing responses for dynamic analysis of single-layer graphene sheets under moving load, J. Braz. Soc. Mech. Sci. Eng., 39, 3849, 10.1007/s40430-017-0863-0 Shahsavari, 2022, Assessment of Reuss, Tamura, and LRVE models for vibration analysis of functionally graded nanoplates, Arch. Civ. Mech. Eng., 22, 1, 10.1007/s43452-022-00409-5 Shahsavari, 2017, Dynamic characteristics of viscoelastic nanoplates under moving load embedded within visco-Pasternak substrate and hygrothermal environment, Mater. Res. Express, 4, 10.1088/2053-1591/aa7d89 Shahsavari, 2018, Shear buckling of single layer graphene sheets in hygrothermal environment resting on elastic foundation based on different nonlocal strain gradient theories, Eur. J. Mech. Solid., 67, 200, 10.1016/j.euromechsol.2017.09.004 Shariati, 2020, On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams, Materials, 13, 1707, 10.3390/ma13071707 Shen, 2003, Dynamic response of shear deformable laminated plates under thermomechanical loading and resting on elastic foundations, Compos. Struct., 60, 57, 10.1016/S0263-8223(02)00295-7 Simsek, 2011, Forced vibration of an embedded single-walled carbon nanotube traversed by a moving load using nonlocal Timoshenko beam theory, Steel Compos. Struct., 11, 59, 10.12989/scs.2011.11.1.059 Sobhy, 2019, Porosity and inhomogeneity effects on the buckling and vibration of double-FGM nanoplates via a quasi-3D refined theory, Compos. Struct., 220, 289, 10.1016/j.compstruct.2019.03.096 Song, 2021, Wave dispersion characteristics of graphene reinforced nanocomposite curved viscoelastic panels, Compos. Struct., 114648, 10.1016/j.compstruct.2021.114648 Thai, 2017, A review of continuum mechanics models for size-dependent analysis of beams and plates, Compos. Struct., 177, 196, 10.1016/j.compstruct.2017.06.040 Vu-Bac, 2016, A software framework for probabilistic sensitivity analysis for computationally expensive models, Adv. Eng. Software, 100, 19, 10.1016/j.advengsoft.2016.06.005 Wang, 2016, A review on the application of modified continuum models in modeling and simulation of nanostructures, Acta Mech. Sin., 32, 83, 10.1007/s10409-015-0508-4 Xu, 2021, On the dynamics of nanoshells, Int. J. Eng. Sci., 158, 103431, 10.1016/j.ijengsci.2020.103431 Ye, 2011 Yu, 2015, Size-dependent generalized thermoelasticity using Eringen's nonlocal model, Eur. J. Mech. Solid., 51, 96, 10.1016/j.euromechsol.2014.12.005 Zhang, 2020, On the dynamic response of porous functionally graded microbeam under moving load, Int. J. Eng. Sci., 153, 103317, 10.1016/j.ijengsci.2020.103317 Zhu, 2017, Twisting statics of functionally graded nanotubes using Eringen's nonlocal integral model, Compos. Struct., 178, 87, 10.1016/j.compstruct.2017.06.067 Zhuang, 2021, Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning, Eur. J. Mech. Solid., 87, 104225, 10.1016/j.euromechsol.2021.104225