Nonlinear mechanics of doubly curved shallow microshells
作者： Mergen H. Ghayesh , Hamed Farokhi
DOI: 10.1016/J.IJENGSCI.2017.06.015
关键词: Ordinary differential equation 、 Curvilinear coordinates 、 Equations of motion 、 Mathematics 、 Rotation (mathematics) 、 Curvature 、 Coordinate system 、 Classical mechanics 、 Galerkin method 、 Nonlinear system
摘要: The nonlinear dynamical characteristics of a doubly curved shallow microshell are investigated thoroughly. A consistent model for the is developed on basis modified couple stress theory (MCST) in an orthogonal curvilinear coordinate system. In particular, based Donnell’s theory, expressions strain and symmetric rotation gradient tensors obtained framework MCST, which then used to derive potential energy microshell. analytical geometrically equations motion in-plane displacements as well out-of-plane one. These partial differential type reduced large set ordinary making use two-dimensional Galerkin scheme. Extensive numerical simulations conducted obtain resonant response system various principal radii curvature examine effect modal interactions length-scale parameter.
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sci-hub.se 参考文章(85)
E M Abdel-Rahman, M I Younis, A H Nayfeh, Dynamic Simulations of a Novel RF MEMS Switch TechConnect Briefs. ,vol. 2, pp. 287- 290 ,(2004)
M. Fadaee, M. R Ilkhani, Closed-form Solution for Freely Vibrating Functionally Graded Thick Doubly Curved Panel-A New Generic Approach Latin American Journal of Solids and Structures. ,vol. 12, pp. 1748- 1770 ,(2015) , 10.1590/1679-78251550
Mohammad Ibrahim Younis, AH Nayfeh, None, A STUDY OF THE NONLINEAR RESPONSE OF A RESONANT MICRO-BEAM TO AN ELECTRIC ACTUATION Nonlinear Dynamics. ,vol. 31, pp. 91- 117 ,(2003) , 10.1023/A:1022103118330
H.L. Dai, Y.K. Wang, L. Wang, Nonlinear dynamics of cantilevered microbeams based on modified couple stress theory International Journal of Engineering Science. ,vol. 94, pp. 103- 112 ,(2015) , 10.1016/J.IJENGSCI.2015.05.007
Amir Mehdi Dehrouyeh-Semnani, Mohammad Dehrouyeh, Mostafa Torabi-Kafshgari, Mansour Nikkhah-Bahrami, An investigation into size-dependent vibration damping characteristics of functionally graded viscoelastically damped sandwich microbeams International Journal of Engineering Science. ,vol. 96, pp. 68- 85 ,(2015) , 10.1016/J.IJENGSCI.2015.07.008
Mergen H. Ghayesh, Hamed Farokhi, Chaotic motion of a parametrically excited microbeam International Journal of Engineering Science. ,vol. 96, pp. 34- 45 ,(2015) , 10.1016/J.IJENGSCI.2015.07.004
YS Li, E34223891423 Pan, None, Static bending and free vibration of a functionally graded piezoelectric microplate based on the modified couple-stress theory International Journal of Engineering Science. ,vol. 97, pp. 40- 59 ,(2015) , 10.1016/J.IJENGSCI.2015.08.009
Hamed Farokhi, Mergen H. Ghayesh, Nonlinear resonant response of imperfect extensible Timoshenko microbeams International Journal of Mechanics and Materials in Design. ,vol. 13, pp. 43- 55 ,(2017) , 10.1007/S10999-015-9316-Z
Jian Lei, Yuming He, Bo Zhang, Dabiao Liu, Lei Shen, Song Guo, A size-dependent FG micro-plate model incorporating higher-order shear and normal deformation effects based on a modified couple stress theory International Journal of Mechanical Sciences. ,vol. 104, pp. 8- 23 ,(2015) , 10.1016/J.IJMECSCI.2015.09.016
Shengli Kong, Shenjie Zhou, Zhifeng Nie, Kai Wang, The size-dependent natural frequency of Bernoulli-Euler micro-beams International Journal of Engineering Science. ,vol. 46, pp. 427- 437 ,(2008) , 10.1016/J.IJENGSCI.2007.10.002