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# Estimation of thermo-elastic damping of vibrations in micro-electro-mechanical systems resonators: finite element modeling

[+] Author Affiliations
Saulius Kausinis

Kaunas University of Technology, Department of Engineering Mechanics, 73 K. Donelaicio Street, Kaunas, Lithuania, LT-44029

Karl Yee

California Institute of Technology, Jet Propulsion Laboratory, 4800 Oak Grove Drive, Pasadena, California 91109-8099

Rimantas Barauskas

Kaunas University of Technology, Department of System Analysis, 50 Studentu Street, Kaunas, Lithuania LT-51368

J. Micro/Nanolith. MEMS MOEMS. 11(3), 033005 (Jul 13, 2012). doi:10.1117/1.JMM.11.3.033005
History: Received August 8, 2011; Revised May 31, 2012; Accepted June 14, 2012
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## Abstract

Abstract.  The authors investigated finite element (FE) analysis of damped modal vibrations in complex geometries of micro-electromechanical (MEM) resonators. Q-factor values were determined by taking the thermo-elastic damping into account. The basic model created is presented as a system of partial differential equations, which describe the elastic and thermal phenomena in the MEM structure. Mathematically the problem is formulated as a complex eigenvalue problem. Modal properties of square- and ring-shaped bulk-mode MEM resonators were investigated by taking into account the layered structure of the MEM system and the influence of the geometry of the clamping zone. The calculations were performed by employing the COMSOL Multiphysics FE software. The solution method was verified by comparing numerically and analytically obtained damped modal properties of a MEM cantilever resonator.

© 2012 Society of Photo-Optical Instrumentation Engineers

## Topics

Microelectromechanical systems ; Resonators

Citation

Saulius Kausinis ; Karl Yee and Rimantas Barauskas
"Estimation of thermo-elastic damping of vibrations in micro-electro-mechanical systems resonators: finite element modeling", J. Micro/Nanolith. MEMS MOEMS. 11(3), 033005 (Jul 13, 2012). ; http://dx.doi.org/10.1117/1.JMM.11.3.033005

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