Journal of Theoretical and Applied Mechanics

ISSN 1429-2955 Quaterly (issued since 1963, until 1997 Mechanika Teoretyczna i Stosowana, ISSN 0079-3701)

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and Applied Mechanics

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. ZenkourDepartment of Mathematics, College of Science and Arts, University of Aljouf, El-Qurayat, Saudi Arabia

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

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.

Downolad full-text - Table of Contents of Vol 53, no. 1Key words:thermoelasticity, microbeam, sinusoidal pulse heating, axially moving, transverse excitation