ARTICLE
Thermoelastic response of nanobeam resonators subjected to exponential decaying time varying load
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1
Mansoura University, Faculty of Science, Department of Mathematics, Mansoura
2
King Abdulaziz University, Faculty of Science, Department of Mathematics, Jeddah
Kafrelsheikh University, Faculty of Science, Department of Mathematics, Kafrelsheikh
Submission date: 2016-11-24
Acceptance date: 2017-03-31
Online publication date: 2017-07-15
Publication date: 2017-07-15
Journal of Theoretical and Applied Mechanics 2017;55(3):937-948
KEYWORDS
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.