Investigation of stepped microbeam vibration motions according to modified couple stress theory.
In this study, linear and nonlinear vibration movements of simply supported stepped microbeams placed in a magnetic field have been analyzed using Modified Couple Stress Theory. By taking into account the step radius ratio, step-change position, and material size parameter, the equations of motion o...
| Publicado en: | Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 78; no. 5; pp. 379 - 394 |
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| Autores principales: | , |
| Formato: | Artículo |
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De Gruyter
May2023
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| 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=163428424&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 163428424 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: May2023 vid: 78 iid: 5 pid: 1734 pub: De Gruyter artinfo: ui: 163428424 10.1515/zna-2022-0286 ppf: 379 ppct: 15 formats: tig: atl: Investigation of stepped microbeam vibration motions according to modified couple stress theory. aug: au: Polat, Sırrı Can Bağdatlı, Süleyman Murat affil: Department of Mechanical Engineering, Manisa Celal Bayar University, Manisa, Türkiye su: Strains & stresses (Mechanics) Vibration (Mechanics) Multiple scale method Motion Nonlinear equations Magnetic fields sug: subj: Strains & stresses (Mechanics) Vibration (Mechanics) Multiple scale method Motion Nonlinear equations Magnetic fields keyword: modified couple stress theory perturbation method stepped microbeam vibration ab: In this study, linear and nonlinear vibration movements of simply supported stepped microbeams placed in a magnetic field have been analyzed using Modified Couple Stress Theory. By taking into account the step radius ratio, step-change position, and material size parameter, the equations of motion of the stepped-microbeam are obtained using the Hamilton principle. The resulting equations of motion are nondimensionalized to eliminate dependence on material type and geometric structure. The approximate solution of the dimensionless equations of motion is calculated using the method of multiple scales, one of the perturbation methods. The solution stages of the study are divided into two separate parts as linear and nonlinear problems. Firstly, the linear issue of the stepped microbeam is addressed. The natural frequencies of the system are derived by solving the linear problem. Linear and nonlinear effects of step radius ratio, step-change position, and microbeam coefficient are investigated and frequency-amplitude graphs are presented. The resonance state where forcing frequency is equal to natural frequency is examined and stability analysis has been made. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2023 holdings: @attributes: islocal: N |
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