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Efficient optimization of transient dynamic problems in MEMS devices using model order reduction

Jeong Sam Han1, Evgenii B Rudnyi2 and Jan G Korvink2

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One of the main obstacles to including transient dynamic effects into the performance functions of a structural optimization for microelectromechanical systems (MEMS) is the high computational cost of each time-dependent response simulation. This paper focuses on the application of model order reduction techniques to optimal design so as to reduce the transient analysis time for the optimization process. To do this, our open-source software mor4ansys performs model order reductions via the block Arnoldi algorithm directly to ANSYS finite element models. We adopt a micro accelerometer as an example to demonstrate the advantages of this approach. The harmonic and transient results of a reduced-order model of the accelerometer yield very good agreement with that from the original high-dimensional ANSYS model. The use of reduced-order models within the optimization iterations produces almost the same results as those without model order reduction, and speeds up the total computation by at least an order of magnitude.


PACS

85.85.+j Micro- and nano-electromechanical systems (MEMS/NEMS) and devices

06.30.Gv Velocity, acceleration, and rotation

02.70.Dh Finite-element and Galerkin methods

02.60.Pn Numerical optimization

Subjects

Computational physics

Electronics and devices

Instrumentation and measurement

Nanoscale science and low-D systems

Dates

Issue 4 (April 2005)

Received 20 July 2004, in final form 4 January 2005

Published 11 March 2005



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