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Title: A Model Reduction Method for the Dynamic Analysis of Microelectromechanical Systems
Authors: Lin, W.Z.
Lee, K.H. 
Lim, S.P. 
Lu, P.
Keywords: Galerkin procedure
Karhunen-Loève decomposition
Microelectromechanical systems
Model reduction
Squeezed gas-film damping
Issue Date: 2001
Citation: Lin, W.Z.,Lee, K.H.,Lim, S.P.,Lu, P. (2001). A Model Reduction Method for the Dynamic Analysis of Microelectromechanical Systems. International Journal of Nonlinear Sciences and Numerical Simulation 2 (2) : 89-100. ScholarBank@NUS Repository.
Abstract: A model reduction technique based on Karhunen-Loève decomposition and Galerkin procedure to effectively perform the dynamic simulation and analysis of nonlinear microelectromechanical systems and devices is described in this paper. The Karhunen-Loève decomposition is a procedure for extracting a basis for a modal decomposition from an ensemble of signals, e.g. numerical or experimental data, thus converts the original distributed parameter systems into a lumped low-order macromodel with minimum number of degree of freedom. The dynamic simulation of the original systems by macromodel results in dramatic reduction of computation time while not losing flexibility and accuracy. The method is evaluated to simulate the pull-in dynamics of a microrelay MEMS device, e.g. doubly clamped microbeam with squeezed gas-film damping effect, subjected to different input voltage spectrum of electrostatic actuation. The results are compared with those of the fully meshed finite difference method (FDM) and found to be very accurate, efficient and flexible.
Source Title: International Journal of Nonlinear Sciences and Numerical Simulation
ISSN: 15651339
Appears in Collections:Staff Publications

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