Nonlinear vibration of microbeams subjected to a uniform magnetic field and rested on nonlinear elastic foundation

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dc.contributor.authorBaǧdatll S.M.
dc.contributor.authorTogun N.
dc.contributor.authorYapanmlş B.E.
dc.contributor.authorAkkoca S.
dc.date.accessioned2024-07-22T08:02:07Z
dc.date.available2024-07-22T08:02:07Z
dc.date.issued2024
dc.description.abstractThis study investigates the nonlinear vibration motions of the Euler-Bernoulli microbeam on a nonlinear elastic foundation in a uniform magnetic field based on Modified Couple Stress Theory (MCST). The effect of size, foundation, and magnetic field on the nonlinear vibration motion of microbeam has been examined. The governing equations related to the nonlinear vibration motions of the microbeam are obtained by using Hamilton's Principle, and the Multiple Time Scale Method was used to obtain the solutions for the governing equations. The linear natural frequencies of microbeam are presented in the table according to nonlinear parameters and boundary conditions. The linear and nonlinear natural frequency ratio graphs are shown. The present study results are also compared with previous work for validation. It is observed that length scale parameters and magnetic force have a more significant effect on the natural frequency of microbeams. It is seen that when the linear elastic foundation coefficient, the Pasternak foundation and the magnetic force effects increase, the ratio of nonlinear and linear natural frequency decreases. © 2023 Walter de Gruyter GmbH, Berlin/Boston.
dc.identifier.DOI-ID10.1515/zna-2023-0225
dc.identifier.issn09320784
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/11727
dc.language.isoEnglish
dc.publisherWalter de Gruyter GmbH
dc.titleNonlinear vibration of microbeams subjected to a uniform magnetic field and rested on nonlinear elastic foundation
dc.typeArticle

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