Journal of Theoretical
and Applied Mechanics

55, 3, pp. 937-948, Warsaw 2017
DOI: 10.15632/jtam-pl.55.3.937

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

Ahmed E. Abouelregal, Ashraf M. Zenkour
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.
Keywords: thermoelasticity, nonlocal nanobeam, varying load, ramp-type heating