Thermoelastic damping in contour-mode in-plane vibrations of rings, disks, and elliptical plates is investigated on various size scales, using a reduced finite element formulation. The Fourier scheme is applied to the axisymmetric geometries including circular rings and disks, and is found to be remarkably efficient in searching solutions. The numerical accuracy is further improved by the implementation of quadratic interpolation functions. The computational results are validated by comparing with the commercial software packages as well as the existing analytical solutions in literature. For resonators of elliptical shapes, the dominant frequency has a weak dependence on the geometric aspect ratio , whereas the effect of on the quality factor ( value) is much stronger and the peak value of the leading mode consistently occurs in the vicinity of .
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August 2010
Research Papers
Finite Element Analysis of Thermoelastic Damping in Contour-Mode Vibrations of Micro- and Nanoscale Ring, Disk, and Elliptical Plate Resonators
Yun-Bo Yi
Yun-Bo Yi
Department of Mechanical and Materials Engineering,
e-mail: yyi2@du.edu
University of Denver
, Denver, CO 80208
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Yun-Bo Yi
Department of Mechanical and Materials Engineering,
University of Denver
, Denver, CO 80208e-mail: yyi2@du.edu
J. Vib. Acoust. Aug 2010, 132(4): 041015 (7 pages)
Published Online: July 15, 2010
Article history
Received:
June 16, 2009
Revised:
March 25, 2010
Online:
July 15, 2010
Published:
July 15, 2010
Citation
Yi, Y. (July 15, 2010). "Finite Element Analysis of Thermoelastic Damping in Contour-Mode Vibrations of Micro- and Nanoscale Ring, Disk, and Elliptical Plate Resonators." ASME. J. Vib. Acoust. August 2010; 132(4): 041015. https://doi.org/10.1115/1.4001506
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