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Math. Comput. Appl. 2010, 15(5), 859-865; doi:10.3390/mca15050859

Nonlinear Transient Analysis for Large-Scale Dynamics of Microelectromechanical Systems with the MOR-PIM Method

1
Key Laboratory for Dalian University of Technology Precision & Non-traditional Machining of Ministry of Education, 116023, P. R. China
2
Key Laboratory for Micro/Nano Technology and System of Liaoning Province, Dalian, 116023, P. R. China
*
Author to whom correspondence should be addressed.
Received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
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Abstract

Microelectromechanical Systems (MEMS) is difficult to take transient analysis due to the tight coupling between the multiple energy domains, typically nonlinear. An effective increment-dimensional precise integration method (PIM) combined with the model order reduction (MOR) technique based on Krylov subspace is present to solve large-scale nonlinear finite element dynamics systems. The numerical example of V-beam electro-thermal actuator is shown to demonstrate that the MOR-PIM method can achieve high precision and fast speed when solving the nonlinear dynamic equation with large-scale freedom.
Keywords: MEMS; Precise Integration Method; Model Order Reduction; Krylov MEMS; Precise Integration Method; Model Order Reduction; Krylov
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Guan, L.; Chu, J.; Gao, J.; Zhang, R. Nonlinear Transient Analysis for Large-Scale Dynamics of Microelectromechanical Systems with the MOR-PIM Method. Math. Comput. Appl. 2010, 15, 859-865.

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