Vibration analysis of generalized thermoelastic microbeams resting on visco-Pasternak

Ashraf M. Zenkour

Abstract

The natural vibration analysis of microbeams resting on visco-Pasternak\'s beam theory is used for description of natural frequencies of the microbeam. The generalized thermoelasticity model is used to obtain the free vibration frequencies due to the coupling equations of a simply-supported microbeam resting on the three-parameter viscoelastic foundation. The fundamental frequencies are evaluated in terms of length-to-thickness ratio, width-to-thickness ratio and three foundation parameters. Sample natural frequencies are tabulated and plotted for sensing the effect of all used parameters and to investigate the visco-Pasternak\'s parameters for future comparisons.

Key Words

thermoelasticity theory; microbeam; vibration frequencies; viscoelastic foundations

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, Kafrelsheikh 33516, Egypt

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