Smart Structures and Systems

Volume 20, Number 4, 2017, pages 451-460

DOI: 10.12989/sss.2017.20.4.451

Variability of thermal properties for a thermoelastic loaded nanobeam excited by harmonically varying heat

A.E. Abouelregal and A.M. Zenkour

Abstract

This work produces a new model of nonlocal thermoelastic nanobeams of temperature-dependent physical properties. A nanobeam is excited by harmonically varying heat and subjected to an exponential decaying time varying load. The analytical solution is obtained by means of Laplace transform method in time domain. Inversions of transformed solutions have been preceded by using calculus of residues. Effects of nonlocal parameter, variability thermal conductivity, varying load and angular frequency of thermal vibration on studied fields of nanobeam are investigated and discussed.

Key Words

nanobeam; varying load; harmonically heating; variability thermal conductivity; nonlocal thermoelasticity

Address

A.E. Abouelregal: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt; Department of Mathematics, College of Science and Arts, Aljouf University, Al-Qurayat, Saudi Arabia A.M. Zenkour: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt