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Decoupled three-dimensional finite element computation of thermoelastic damping using Zener's approximation

Basak, Anup and Nandakumar, K and Chatterjee, Anindya (2011) Decoupled three-dimensional finite element computation of thermoelastic damping using Zener's approximation. In: Meccanica, 46 (2). pp. 371-381.

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Abstract

We consider three dimensional finite element computations of thermoelastic damping ratios of arbitrary bodies using Zener's approach. In our small-damping formulation, unlike existing fully coupled formulations, the calculation is split into three smaller parts. Of these, the first sub-calculation involves routine undamped modal analysis using ANSYS. The second sub-calculation takes the mode shape, and solves on the same mesh a periodic heat conduction problem. Finally, the damping coefficient is a volume integral, evaluated elementwise. In the only other decoupled three dimensional computation of thermoelastic damping reported in the literature, the heat conduction problem is solved much less efficiently, using a modal expansion. We provide numerical examples using some beam-like geometries, for which Zener's and similar formulas are valid. Among these we examine tapered beams, including the limiting case of a sharp tip. The latter's higher-mode damping ratios dramatically exceed those of a comparable uniform beam.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Springer.
Keywords: Thermoelastic damping; Finite element; Heat conduction; Vibration; MEMS
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 25 Mar 2011 10:55
Last Modified: 25 Mar 2011 10:55
URI: http://eprints.iisc.ernet.in/id/eprint/36184

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