Thermoelastic response of nanobeam resonators subjected to exponential decaying time varying load

Abstract

This work investigates the vibrational response of thermoelastic nanobeam resonators in- duced by ramp-type heating and subjected to exponential decaying time varying load via Euler-Bernoulli beam theory. Governing equations are derived in the context of nonlocal generalized thermoelasticity theory with dual phase lags. The nonlocal nanobeam theory incorporates a nonlocal parameter to capture the small scale effect. Using the Laplace trans- form technique, an analytical solution has been attained. and inversions of the transformed solutions have been carried out by means of calculus of residues. The effects of nonlocal, po- int load and ramping-time parameters on all studied fields of the nanobeam are investigated and discussed.