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Effects of phase-lag on thermoelastic damping in micromechanical resonators
Authors:Roushan Kumar  Ravi Kumar  Harendra Kumar
Affiliation:1. Department of Mathematics, Central University of South Bihar, Patna, India;2. roushankumar@cub.ac.in;4. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, India
Abstract:The present article attempts to investigate thermoelastic damping (TED) of a microbeam resonator by employing the three-phase-lag (TPL) thermoelasticity theory proposed by Roychoudhuri. An explicit formula of TED has been derived and the effects of the beam height, the phase-lag parameters on TED of the microbeam resonator have been studied. Effects of beam height and phase-lags on TED have been shown with the numerical results. A comparison of the results with the corresponding results of the theory of thermoelasticity of type GN-III is also presented. It has been observed that GN-III predicts a high-quality factor of the resonator’s sensitivity as compared to TPL model.
Keywords:GN-III thermoelasticity  micromechanical resonators  thermoelastic damping  three-phase-lag heat conduction
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