New analytical method for dynamic response of thermoelastic damping in simply supported generalized piezothermoelastic nanobeam

Abstract

The present paper deals with the application of one-dimensional piezoelectric materials in particular piezo-thermo-elastic nanobeam in the context of generalized piezothermoelastic theory. The ends of the nanobeam are considered to be simply supported and at a constant temperature. The mathematical model so formed is solved to obtain the non-dimensional expressions for lateral deflection, electric potential, thermal moment, thermoelastic damping, and frequency shift.Effect of frequency on the lateral deflection, electric potential, thermal moment with generalized piezothermoelastic theory are represented graphically using the MATLAB software. Comparisons are made with different theories of thermoelasticity. K E Y W O R D Sgeneralized piezothermoelastic theory, nanobeam, piezo-thermo-elastic, time harmonic frequency, transversely isotropic 1 , constant; , pyroelectric moduli; , heat flux vector ; 0 , the pulse rise time; 0 , 1 , thermal relaxation time parameters; , components of the stress tensors; , displacement Components; , linear thermal expansion coefficient; 1 , thermal moment of the beam; , thermal elastic coupling tensor; , Kronecker delta; , dielectric moduli;, piezoelectric moduli; 0 , initial electric potential; D, flexural rigidity of the beam due to temperature fields; E, flexural rigidity of the beam due to electric and pyroelectric fields; f(t), temporal profile of a laser beam; M, flexural moment of the cross-section of a beam; r, coefficient describing the measure of thermal effect; t, time; δ, absorptive depth of heating energy; , moment of inertia of cross-

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