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Article

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

by
Le Guan
1,
Jinkui Chu
1,*,
Jiali Gao
2 and
Ran Zhang
2
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.
Math. Comput. Appl. 2010, 15(5), 859-865; https://doi.org/10.3390/mca15050859
Submission received: 31 December 2010 / Accepted: 31 December 2010 / Published: 31 December 2010
Versions Notes

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

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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. https://doi.org/10.3390/mca15050859

AMA Style

Guan L, Chu J, Gao J, Zhang R. Nonlinear Transient Analysis for Large-Scale Dynamics of Microelectromechanical Systems with the MOR-PIM Method. Mathematical and Computational Applications. 2010; 15(5):859-865. https://doi.org/10.3390/mca15050859

Chicago/Turabian Style

Guan, Le, Jinkui Chu, Jiali Gao, and Ran Zhang. 2010. "Nonlinear Transient Analysis for Large-Scale Dynamics of Microelectromechanical Systems with the MOR-PIM Method" Mathematical and Computational Applications 15, no. 5: 859-865. https://doi.org/10.3390/mca15050859

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