Author:
Kumar Rajneesh,Sharma Poonam
Abstract
AbstractThis paper deals with the study of transverse vibrations in piezothermoelastic beam resonators with fractional order derivative. The fractional order theory of thermoelasticity developed by Sherief et al. [1] has been used to study the problem. The expressions for frequency shift and damping factor are derived for a thermo micro-electromechanical (MEM) and thermo nano-electromechanical (NEM) beam resonators clamped on one side and free on another. The effect of fractional order derivative on the derived expressions is observed analytically and shown graphically in the case of Lead Zirconate Titanate (PZT)-5A material. For α = 1, our results agree with those that are obtained by Grover and Sharma [20] and other particular cases of interest are also discussed.
Subject
Mechanics of Materials,Safety, Risk, Reliability and Quality,Aerospace Engineering,Building and Construction,Civil and Structural Engineering,Architecture,Computational Mechanics
Reference17 articles.
1. Thermoelastic damping in bilayered micromechanical beamresonators;Prabhakar;Micromech Microeng,2007
2. The Lagrange identity method in thermoelasticity of bodies with microstructure;Marin;International Journal of Engineering Science,1994
3. Uniqueness and reciprocity theorems for linear thermoelectro - magneto - elasticity;Li;Mechanics Appl Math,2003
4. Rayleigh - Lamb wave propagation on a fractional order viscoelastic plate;Meral;Soc Am,2011
5. and Vibration of gold nano beam in context of two - temperature generalized thermoelasticity subjected to laser pulse of Solids and Structures vol;Youssef;Latin American Journal,2014
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