Significance of memory-dependent derivative approach for the analysis of thermoelastic damping in micromechanical resonators

Author(s):  
Ravi Kumar ◽  
Rakhi Tiwari ◽  
Roushan Kumar
2008 ◽  
Vol 5 (9) ◽  
pp. 2920-2922 ◽  
Author(s):  
Hajime Okamoto ◽  
Daisuke Ito ◽  
Koji Onomitsu ◽  
Hiroshi Yamaguchi

2009 ◽  
Vol 95 (6) ◽  
pp. 061903 ◽  
Author(s):  
Thomas H. Metcalf ◽  
Bradford B. Pate ◽  
Douglas M. Photiadis ◽  
Brian H. Houston

Author(s):  
Yang Xu ◽  
Zhili Hao

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.


2013 ◽  
Vol 102 (7) ◽  
pp. 071901 ◽  
Author(s):  
Hadi Najar ◽  
Amir Heidari ◽  
Mei-Lin Chan ◽  
Hseuh-An Yang ◽  
Liwei Lin ◽  
...  

2019 ◽  
Vol 50 (6) ◽  
pp. 169-175 ◽  
Author(s):  
Roushan Kumar ◽  
Ravi Kumar

In this article, a unified formulation for the generalized coupled thermoelasticity theories by employing an appropriate system of partial differential equations as the governing system is presented to investigate thermoelastic damping of a microbeam resonator. The generalized coupled thermoelasticity theories namely: the extended thermoelasticity proposed by Lord and Shulman, the thermoelasticity without energy dissipation (thermoelasticity type-II) and the thermoelasticity with energy dissipation (thermoelasticity type III) in a unified way by introducing the unified parameters. An explicit formula of thermoelastic damping has been derived in a unified way and numerical results for effects of the beam height, relaxation time parameter on thermoelastic damping of the microbeam resonator have been studied and compared.


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