Nonlinear vibration of microbeams subjected to a uniform magnetic field and rested on nonlinear elastic foundation.
This 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...
| Publicado en: | Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 79; no. 1; pp. 17 - 31 |
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| Autores principales: | , , , |
| Formato: | Artículo |
| Publicado: |
De Gruyter
Jan2024
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| Materias: | |
| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=174711439&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 174711439 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 09320784 FL07 jtl: Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences issn: 09320784 maglogo: N pubinfo: dt: Jan2024 vid: 79 iid: 1 pid: 1734 pub: De Gruyter artinfo: ui: 174711439 10.1515/zna-2023-0225 ppf: 17 ppct: 14 formats: tig: atl: Nonlinear vibration of microbeams subjected to a uniform magnetic field and rested on nonlinear elastic foundation. aug: au: Bağdatlı, Süleyman Murat Togun, Necla Yapanmış, Burak Emre Akkoca, Şevki affil: Department of Mechanical Engineering, Manisa Celal Bayar University, Şehit Prof. Dr. İlhan Varank Yerleşkesi, Manisa, Türkiye Department of Mechanical Engineering, Gaziantep University, Üniversite Bulvarı Şehitkamil, Gaziantep, Türkiye Aliağa Vocational and Training School, Ege University, Siteler Mah, İnönü Bulvarı No:3, İzmir, Türkiye İzmir Alaybey Tersanesi, Tersane, 1664. Sk. No:44, 35600 Karşıyaka, İzmir, Türkiye su: Elastic foundations Strains & stresses (Mechanics) Magnetic fields Multiple scale method Hamilton's principle function sug: subj: Elastic foundations Strains & stresses (Mechanics) Magnetic fields Multiple scale method Hamilton's principle function keyword: magnetic field microbeam modified couple stress theory nonlinear vibration perturbation method ab: This 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. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2024 holdings: @attributes: islocal: N |
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