Pull-in Dynamics of an Elastic Beam Actuated by Continuously Distributed Electrostatic Force

作者: Slava Krylov , Ronen Maimon

DOI: 10.1115/1.1760559

关键词:

摘要: A detailed study of the transient nonlinear dynamics an electrically actuated micron scale beam is presented. model developed using Galerkin procedure with normal modes as a basis accounts for distributed electrostatic forces, squeezed film damping, and rotational inertia mass carried by beam. Special attention paid to near instability points. Results generated confirmed experimentally show that damping leads shrinkage spatial region where stable motion realizable. The voltage causes dynamic instability, in turn, approaches static pull-in value.

参考文章(22)
B. Rama Bhat, H. Wagner, Natural frequencies of a uniform cantilever with a tip mass slender in the axial direction Journal of Sound and Vibration. ,vol. 45, pp. 304- 307 ,(1976) , 10.1016/0022-460X(76)90606-4
Albert C.J. Luo, F.Y. Wang, Chaotic motion in a micro-electro–mechanical system with non-linearity from capacitors Communications in Nonlinear Science and Numerical Simulation. ,vol. 7, pp. 31- 49 ,(2002) , 10.1016/S1007-5704(02)00005-9
E P Furlani, Theory and simulation of viscous damped reflection phase gratings Journal of Physics D. ,vol. 32, pp. 412- 416 ,(1999) , 10.1088/0022-3727/32/4/010
Gary O'Brien, David J. Monk, Liwei Lin, MEMS cantilever beam electrostatic pull-in model Design, characterization, and packaging for MEMS and microelectronics. Conference. ,vol. 4593, pp. 31- 41 ,(2001) , 10.1117/12.448834
J. J. Blech, On Isothermal Squeeze Films Journal of Lubrication Technology. ,vol. 105, pp. 615- 620 ,(1983) , 10.1115/1.3254692
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
Feixia Pan, Joel Kubby, Eric Peeters, Alex T Tran, Subrata Mukherjee, Squeeze film damping effect on the dynamic response of a MEMS torsion mirror Journal of Micromechanics and Microengineering. ,vol. 8, pp. 200- 208 ,(1998) , 10.1088/0960-1317/8/3/005
M. Andrews, I. Harris, G. Turner, A comparison of squeeze-film theory with measurements on a microstructure Sensors and Actuators A: Physical. ,vol. 36, pp. 79- 87 ,(1993) , 10.1016/0924-4247(93)80144-6
P. K. C. WANG, BIFURCATION OF EQUILIBRIA IN MICROMACHINED ELASTIC STRUCTURES WITH ELECTROSTATIC ACTUATION International Journal of Bifurcation and Chaos. ,vol. 11, pp. 469- 482 ,(2001) , 10.1142/S0218127401002183
Kuo-Ming Chang, Shun-Ching Lee, Shyh-Horng Li, Squeeze film damping effect on a MEMS torsion mirror Journal of Micromechanics and Microengineering. ,vol. 12, pp. 556- 561 ,(2002) , 10.1088/0960-1317/12/5/307