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A Numerical Model for Thermoelastic Damping in Micromechanical Resonators Made From Anisotropic Materials

[+] Author Affiliations
Yang Xu, Zhili Hao

Old Dominion University, Norfolk, VA

Paper No. DETC2008-49214, pp. 865-870; 6 pages
doi:10.1115/DETC2008-49214
From:
  • ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 4: 20th International Conference on Design Theory and Methodology; Second International Conference on Micro- and Nanosystems
  • Brooklyn, New York, USA, August 3–6, 2008
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4328-4 | eISBN: 0-7918-3831-5
  • Copyright © 2008 by ASME

abstract

This paper presents a numerical model for thermoelastic damping (TED) in micromechanical resonators made from anisotropic materials, such as single crystal silicon. It is built upon a thermal-energy method, in which TED is interpreted as the generation of thermal energy per cycle of vibration and consequently the mathematical expression for TED is derived from the linear thermoelastic governing equations for anisotropic media. This numerical model consists of two sequential numerical simulations: elastic vibrations and transient heat conduction, and is developed in the ANSYS/Multiphysics, giving rise to the numerical value for the derived expression for TED and further the quality factor related to TED (QTED ) in a micromechanical resonator with any complex structural geometry. Through comparison with experimental data in the literature, the validity of the presented numerical model is demonstrated.

Copyright © 2008 by ASME

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