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Journal of Theoretical
and Applied Mechanics

53, 1, pp. 167-178, Warsaw 2015
THERMOELASTIC PROBLEM OF AN AXIALLY MOVING MICROBEAM SUBJECTED TO AN EXTERNAL TRANSVERSE EXCITATION
Ahmed E. Abouelregal
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt
Department of Mathematics, College of Science and Arts, University of Aljouf, El-Qurayat, Saudi Arabia
Ashraf M. Zenkour
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh, Egypt
e-mail: zenkour@kau.edu.sa
In this study, the problem of an axially moving microbeam subjected to sinusoidal pulse heating and an external transverse excitation is solved. The generalized thermoelasticity theory with one relaxation time is used to solve this problem. An analytical technique based on the Laplace transform is used to calculate the vibration of deflection and the temperature. The inverse of Laplace transforms are computed numerically using Fourier expansion techniques. The effects of the pulse-width of thermal vibration, moving speed and the transverse excitation are studied and discussed on the lateral vibration, temperature, displacement and bending moment of the beam.
Key words: thermoelasticity, microbeam, sinusoidal pulse heating, axially moving, transverse excitation
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