A two-temperature model for evaluation of thermoelastic damping in the vibration of a nanoscale resonators

被引：0
|
作者：
Ibrahim A. Abbas
机构：
[1] University of Jeddah,Department of Mathematics, Faculty of Science and Arts (Khulais)
[2] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics
[3] Sohag University,Department of Mathematics, Faculty of Science
来源：
Mechanics of Time-Dependent Materials | 2016年 / 20卷
关键词：
Thermoelastic damping; Two-temperature model; Nano-scale resonator; Vibrations; Frequency shift;
D O I：
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中图分类号：
学科分类号：
摘要：
In this work, the thermoelastic damping of a nano-scale resonator is analyzed by the generalized thermoelasticity theory based on two-temperature model (2TLS). The effect of two-temperature parameter and relaxation time in nano-scale resonator are investigated for beams under clamped conditions. Analytical expressions for deflection, temperature change, frequency shifts, and thermoelastic damping in the beam have been derived. The theories of coupled termoelasticity and generalized thermoelasticity with one relaxation time can extracted as limited and special cases of the present model. The numerical results have been presented graphically in respect of thermoelastic damping and frequency shift.
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页码：511 / 522
页数：11
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