Nonlinear vibrations of axially moving simply supported viscoelastic nanobeams based on nonlocal strain gradient theory.
作者： Jing Wang , Huoming Shen
关键词: Characteristic length 、 Axial symmetry 、 Mechanics 、 Vibration 、 Nonlinear system 、 Viscoelasticity 、 Instability 、 Parametric oscillator 、 Beam (structure) 、 Physics
摘要: The lateral nonlinear vibration of an axially moving simply supported viscoelastic nanobeam is analysed based on nonlocal strain gradient theory. proposed model includes the parameters and material characteristic length parameters, investigating two kinds size effects micro-nano beam structures. Firstly, steady-state amplitude-frequency response subharmonic parametric resonance by a direct multiscale method, stability (non-) zero equilibrium solution determined Routh-Hurwitz criterion. Subsequently, frequencies nanobeams are calculated. Finally, several numerical examples used to illustrate influence scale characteristics nanobeams. results show that when occurs in system, boundary instability region markedly affected parameters. In addition, soften harden these softening hardening strengthened (or weakened) varying degrees presence nonlinearity.
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sci-hub.se 参考文章(42)
Li Li, Yujin Hu, Ling Ling, Flexural wave propagation in small-scaled functionally graded beams via a nonlocal strain gradient theory Composite Structures. ,vol. 133, pp. 1079- 1092 ,(2015) , 10.1016/J.COMPSTRUCT.2015.08.014
Li Li, Yujin Hu, Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory International Journal of Engineering Science. ,vol. 97, pp. 84- 94 ,(2015) , 10.1016/J.IJENGSCI.2015.08.013
Li Li, Yujin Hu, Ling Ling, Wave propagation in viscoelastic single-walled carbon nanotubes with surface effect under magnetic field based on nonlocal strain gradient theory Physica E-low-dimensional Systems & Nanostructures. ,vol. 75, pp. 118- 124 ,(2016) , 10.1016/J.PHYSE.2015.09.028
R. Ansari, R. Gholami, Surface effect on the large amplitude periodic forced vibration of first-order shear deformable rectangular nanoplates with various edge supports Acta Astronautica. ,vol. 118, pp. 72- 89 ,(2016) , 10.1016/J.ACTAASTRO.2015.09.020
C.W. Lim, G. Zhang, J.N. Reddy, A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation Journal of The Mechanics and Physics of Solids. ,vol. 78, pp. 298- 313 ,(2015) , 10.1016/J.JMPS.2015.02.001
R. Ansari, T. Pourashraf, R. Gholami, An exact solution for the nonlinear forced vibration of functionally graded nanobeams in thermal environment based on surface elasticity theory Thin-walled Structures. ,vol. 93, pp. 169- 176 ,(2015) , 10.1016/J.TWS.2015.03.013
J.S. Stölken, A.G. Evans, A microbend test method for measuring the plasticity length scale Acta Materialia. ,vol. 46, pp. 5109- 5115 ,(1998) , 10.1016/S1359-6454(98)00153-0
Keivan Kiani, Longitudinal, transverse, and torsional vibrations and stabilities of axially moving single-walled carbon nanotubes Current Applied Physics. ,vol. 13, pp. 1651- 1660 ,(2013) , 10.1016/J.CAP.2013.05.008
C. W. Lim, C. Li, Ji-Lin Yu, Dynamic behaviour of axially moving nanobeams based on nonlocal elasticity approach Acta Mechanica Sinica. ,vol. 26, pp. 755- 765 ,(2010) , 10.1007/S10409-010-0374-Z
M. M. J. Treacy, T. W. Ebbesen, J. M. Gibson, Exceptionally high Young's modulus observed for individual carbon nanotubes Nature. ,vol. 381, pp. 678- 680 ,(1996) , 10.1038/381678A0