Nonlinear transversely vibrating beams by the homotopy perturbation method with an auxiliary term

نویسندگان

  • Farhang Daneshmand Department of Mechanical Engineering, McGill University, 817 Sherbrooke Street West, Montreal, Quebec, Canada H3A 2K6
  • Hamid M. Sedighi Shahid Chamran University, Faculty of Engineering, Mechanical Engineering Department, Ahvaz, Iran
چکیده

This paper presents the high order frequency-amplitude relationship for nonlinear transversely vibrating beams with odd and even nonlinearities, using Homotopy Perturbation Method with an auxiliary term (HPMAT). The governing equations of vibrating buckled beam, beam carrying an intermediate lumped mass, and quintic nonlinear beam are investigated to exhibit the reliability and ability of the proposed asymptotic approach. It is demonstrated that two terms in series expansions are sufficient to obtain a highly accurate periodic solutions. The integrity of the analytical solutions is verified by numerical results.

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nonlinear transversely vibrating beams by the homotopy perturbation method with an auxiliary term

this paper presents the high order frequency-amplitude relationship for nonlinear transversely vibrating beams with odd and even nonlinearities using homotopy perturbation method with an auxiliary term (hpmat). the governing equations of vibrating buckled beam, beam carrying an intermediate lumped mass and quintic nonlinear beam are investigated to exhibit the reliability and ability of the pro...

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عنوان ژورنال:

دوره 1  شماره 1

صفحات  1- 9

تاریخ انتشار 2014-06-01

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