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Structural Engineering and Mechanics Volume 48, Number 6, December25 2013 , pages 823-831 DOI: https://doi.org/10.12989/sem.2013.48.6.823 |
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Vibration of electrostatically actuated microbeam by means of homotopy perturbation method |
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M. Bayat, I. Pakar and A. Emadi
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| Abstract | ||
| In this paper, it has been attempted to present a powerful analytical approach called Homotopy Perturbation Method (HPM). Free vibration of an electrostatically actuated microbeam is considered to study analytically. The effect of important parameters on the response of the system is considered. Some comparisons are presented to verify the results with other researcher\'s results and numerical solutions. It has been indicated that HPM could be easily extend to any nonlinear equation. We try to provide an easy method to achieve high accurate solution which valid for whole domain. | ||
| Key Words | ||
| electrostatically actuated microbeam; nonlinear vibration; homotopy perturbation method | ||
| Address | ||
| M. Bayat : Young Researchers and Elites Club, Science and Research Branch, Islamic Azad University, Tehran, Iran I. Pakar : Young Researchers and Elites Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran A. Emadi : Department of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran | ||