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http://dx.doi.org/10.12989/aas.2017.4.3.269

Vibration analysis of generalized thermoelastic microbeams resting on visco-Pasternak's foundations  

Zenkour, Ashraf M. (Department of Mathematics, Faculty of Science, King Abdulaziz University)
Publication Information
Advances in aircraft and spacecraft science / v.4, no.3, 2017 , pp. 269-280 More about this Journal
Abstract
The natural vibration analysis of microbeams resting on visco-Pasternak's foundation is presented. The thermoelasticity theory of Green and Naghdi without energy dissipation as well as the classical Euler-Bernoulli'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.
Keywords
thermoelasticity theory; microbeam; vibration frequencies; viscoelastic foundations;
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Times Cited By KSCI : 2  (Citation Analysis)
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