Dynamic analysis and design of electrically actuated viscoelastic microbeams considering the scale effect

作者: Lei Li , Qichang Zhang , Wei Wang , Jianxin Han

DOI: 10.1016/J.IJNONLINMEC.2017.01.002

关键词:

摘要: Abstract Viscoelastic phenomena widely exist in MEMS materials, which may have certain effects on quasi-static behaviors and transition mechanism of nonlinear jumping phenomena. The static dynamic a doubly clamped viscoelastic microbeam actuated by one sided electrode are investigated detail, based modified couple stress theory. governing equation motion is introduced here, essentially due to its midplane stretching effect electrostatic force. Through analysis, the equilibrium position, pull-in voltage location system obtained with differential quadrature method finite element method. equivalent geometric parameter presented explain influence scale location. Different from elastic material, there two kinds voltages called as instantaneous durable system. Then, Galerkin discretization multiple scales applied determine response stability for small vibration amplitude. A new perturbation deal term presented. Theoretical expressions about spaces linear-like vibration, hardening-type softening-type then deduced. viscoelasticity behavior studied. Results show that can reduce effective modulus make tend vibration; increase vibration. And most all, simulation results case studies used realize optimization. Then conditions desired many applications, obtained. In this paper, multi-physical field coupling verify theoretical analysis.

参考文章(42)
Sergio Preidikman, Balakumar Balachandran, A semi-analytical tool based on geometric nonlinearities for microresonator design Journal of Micromechanics and Microengineering. ,vol. 16, pp. 512- 525 ,(2006) , 10.1088/0960-1317/16/3/006
Binglei Wang, Shenjie Zhou, Junfeng Zhao, Xi Chen, Size-dependent pull-in instability of electrostatically actuated microbeam-based MEMS Journal of Micromechanics and Microengineering. ,vol. 21, pp. 027001- ,(2011) , 10.1088/0960-1317/21/2/027001
Mohammadreza Zamanzadeh, Ghader Rezazadeh, Ilgar Jafarsadeghi-Poornaki, Rasool Shabani, None, Static and dynamic stability modeling of a capacitive FGM micro-beam in presence of temperature changes Applied Mathematical Modelling. ,vol. 37, pp. 6964- 6978 ,(2013) , 10.1016/J.APM.2013.02.034
A.Y.T. Leung, H.X. Yang, P. Zhu, Z.J. Guo, Steady state response of fractionally damped nonlinear viscoelastic arches by residue harmonic homotopy Computers & Structures. ,vol. 121, pp. 10- 21 ,(2013) , 10.1016/J.COMPSTRUC.2013.02.011
Eihab M Abdel-Rahman, Mohammad I Younis, Ali H Nayfeh, None, Characterization of the mechanical behavior of an electrically actuated microbeam Journal of Micromechanics and Microengineering. ,vol. 12, pp. 759- 766 ,(2002) , 10.1088/0960-1317/12/6/306
Mohammad I Younis, Eihab M Abdel-Rahman, Ali Nayfeh, None, A reduced-order model for electrically actuated microbeam-based MEMS IEEE\/ASME Journal of Microelectromechanical Systems. ,vol. 12, pp. 672- 680 ,(2003) , 10.1109/JMEMS.2003.818069
Stav Zaitsev, Oleg Shtempluck, Eyal Buks, Oded Gottlieb, Nonlinear damping in a micromechanical oscillator Nonlinear Dynamics. ,vol. 67, pp. 859- 883 ,(2012) , 10.1007/S11071-011-0031-5
Hadi Madinei, Ghader Rezazadeh, Saber Azizi, None, Stability and Bifurcation Analysis of an Asymmetrically Electrostatically Actuated Microbeam Journal of Computational and Nonlinear Dynamics. ,vol. 10, pp. 021002- ,(2015) , 10.1115/1.4028537
H Li, S Preidikman, B Balachandran, C D Mote, Nonlinear free and forced oscillations of piezoelectric microresonators Journal of Micromechanics and Microengineering. ,vol. 16, pp. 356- 367 ,(2006) , 10.1088/0960-1317/16/2/021