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

IF 1.8 4区 物理与天体物理 Q4 CHEMISTRY, PHYSICAL
Süleyman Murat Bağdatlı, Necla Togun, Burak Emre Yapanmış, Şevki Akkoca
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引用次数: 0

Abstract

Abstract 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.
基于非线性弹性基础的微梁在均匀磁场作用下的非线性振动
摘要基于修正耦合应力理论(MCST)研究了均匀磁场下非线性弹性地基上欧拉-伯努利微梁的非线性振动运动。研究了尺寸、基础和磁场对微梁非线性振动运动的影响。利用Hamilton原理得到了微梁非线性振动运动的控制方程,并采用多时间尺度法求解了控制方程。根据非线性参数和边界条件,给出了微梁的线性固有频率。给出了线性和非线性固有频率比图。并与前人的研究结果进行了对比验证。长度尺度参数和磁力对微梁固有频率的影响更为显著。可以看出,当线弹性基础系数、帕斯捷尔纳克基础和磁力作用增大时,非线性固有频率与线性固有频率之比减小。
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来源期刊
CiteScore
3.00
自引率
5.60%
发文量
81
审稿时长
3.3 months
期刊介绍: A Journal of Physical Sciences: Zeitschrift für Naturforschung A (ZNA) is an international scientific journal which publishes original research papers from all areas of experimental and theoretical physics. Authors are encouraged to pay particular attention to a clear exposition of their respective subject, addressing a wide readership. In accordance with the name of our journal, which means “Journal for Natural Sciences”, manuscripts submitted to ZNA should have a tangible connection to actual physical phenomena. In particular, we welcome experiment-oriented contributions.
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