ARTICLE
Thermoelastic problem of an axially moving microbeam subjected to an external transverse excitation
 
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1
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
2
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia; Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafr El-Sheikh, Egypt
 
Journal of Theoretical and Applied Mechanics 2015;53(1):167–178
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ABSTRACT
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.
eISSN:2543-6309
ISSN:1429-2955