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Advances in Aircraft and Spacecraft Science Volume 4, Number 3, May 2017 , pages 267-280 DOI: https://doi.org/10.12989/aas.2017.4.3.267 |
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Vibration analysis of generalized thermoelastic microbeams resting on visco-Pasternak |
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Ashraf M. Zenkour
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| 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 | ||
