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Volume 3, Number 1, January 2018, pages 1-16 DOI: http://dx.doi.org/10.12989/acd.2018.3.1.001 |
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Decaying temperature and dynamic response of a thermoelastic nanobeam to a moving load |
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Ashraf M. Zenkour and Ahmed E. Abouelregal
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| Abstract | ||
| The decaying temperature and dynamic response of a thermoelastic nanobeam subjected to a moving load has been investigated in the context of generalized theory of nonlocal thermoelasticity. The transformed distributions of deflection, temperature, axial displacement and bending moment are obtained by using Laplace transformation. By applying a numerical inversion method, the results of these fields are then inverted and obtained in the physical domain. Also, for a particular two models, numerical results are discussed and presented graphically. Some specific and special results are derived from the current study. | ||
| Key Words | ||
| thermoelastic nanobeam; moving load; exponentially decaying temperature | ||
| Address | ||
| Ashraf M. Zenkour: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh 33516, Egypt Ahmed E. Abouelregal: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt | ||