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Smart Structures and Systems Volume 20, Number 4, October 2017 , pages 451-460 DOI: https://doi.org/10.12989/sss.2017.20.4.451 |
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Variability of thermal properties for a thermoelastic loaded nanobeam excited by harmonically varying heat |
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A.E. Abouelregal and A.M. Zenkour
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| 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 | ||