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Purpose: The purpose of this paper is to study detection, microstretch function, temperature distribution function and thermoelastic damping analysis due to thermal variations and stretch forces in homogeneous, isotropic microstretch, generalized thermoelastic thin circular plate. Method: This theory is based on the Kirchho-Love plate theory assumptions. The governing equations for the transverse vibrations of microstretch thermoelastic thin circular plate have been derived. The analytical expressions for detection, microstretch function, temperature distribution function and thermoelastic damping have been numerically analyzed for clamped and simply supported boundary conditions in case of both non-Fourier and Fourier microstretch thermoelastic circular plate with the help of MATLAB programming software. Results: Finally the analytical development for thermoelastic damping have been illustrated numerically for Silicon-like material. The computer simulated results have been presented graphically under different boundary conditions. Conclusion: It leads to the conclusion that thermal relaxation time and microstretch parameters contribute to an increase in the magnitude of the critical value of damping. [ABSTRACT FROM AUTHOR]

This article deals with the deflection and thermoelastic damping analysis in homogeneous, isotropic, micropolar microstretch generalized thermoelastic thin beam based on Euler–Bernoulli theory. Analytical expressions for deflection, thermoelastic damping, frequency shift, temperature distribution and microstretch functions have been obtained for various boundary conditions viz. clamped, simply supported and cantilever beam by using Laplace transform technique. The analytical results have been numerically analyzed with the help of MATLAB software in case of magnesium like materials. The computed results have been presented graphically in view of various boundary conditions. [ABSTRACT FROM AUTHOR]

The present paper deals with the deflection and thermoelastic damping analysis of micro-scale microstretch, micropolar, generalized thermoelastic thin plate. The analytical expressions for the transverse vibrations of a homogeneous, isotropic, microstretch, micropolar, generalized thermoelastic thin plate, based on Kirchhoff theory have been derived. The axial ends of the plate are assumed to be at either clamped or simply supported conditions. Analytical results for deflection, microstretch functions, temperature distribution, thermoelastic damping and frequency shift have been obtained. The numerical simulation has been carried out with the help of MATLAB software for magnesium like material. The graphical representations and interpretations have been discussed for thermoelastic damping of plate under various boundary conditions and for distinct considered values of thickness and length as well. [ABSTRACT FROM AUTHOR]

In this paper, the flexural vibrations of homogeneous, isotropic, generalized micropolar microstretch thermoelastic thin Euler–Bernoulli beam resonators, due to time harmonic load have been investigated. The axial ends of the beam are assumed to be at either clamped-clamped, simply supported-simply supported or clamped-free conditions. The governing equations have been solved analytically by using Laplace transforms technique twice with respect to time and space variables respectively. The inversion of Laplace transform in time domain has been performed by using the calculus of residues to obtain deflection. The numerical simulation has been carried out with the help of MATLAB software for magnesium like material. The graphical representations and observations have been discussed for deflection of beam under various boundary conditions and for distinct considered values of time and space as well. [ABSTRACT FROM AUTHOR]