{"title":"Parametric resonances of buckled magneto-electro-thermo-elastic laminated microbeams based on modified couple stress theory","authors":"Yu-fang Zheng, Li-chuan Liu, De-yong Qu, Chang-ping Chen","doi":"10.1007/s00542-024-05728-6","DOIUrl":null,"url":null,"abstract":"<p>This article investigates the nonlinear dynamic response of the magneto-electro-thermo-elastic (METE) laminated microbeams in post-buckling state considering the modified couple stress theory. Based on the nonlinear post-buckling dynamic model of the microbeam, considering the main parameter resonance, the model is solved and analyzed to obtain the nonlinear vibration amplitude frequency response relationship by applying the multi-scale method. Then, the Jacobi matrix is used for steady-state analysis of the microbeam. In numerical examples, the effects of material length scale parameter, magneto-electro-thermo field, axial static and dynamic loads, and span-thickness ratio on the dynamic instability region and amplitude frequency response curve of METE laminated microbeams are discussed.</p>","PeriodicalId":18544,"journal":{"name":"Microsystem Technologies","volume":"2 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Microsystem Technologies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00542-024-05728-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This article investigates the nonlinear dynamic response of the magneto-electro-thermo-elastic (METE) laminated microbeams in post-buckling state considering the modified couple stress theory. Based on the nonlinear post-buckling dynamic model of the microbeam, considering the main parameter resonance, the model is solved and analyzed to obtain the nonlinear vibration amplitude frequency response relationship by applying the multi-scale method. Then, the Jacobi matrix is used for steady-state analysis of the microbeam. In numerical examples, the effects of material length scale parameter, magneto-electro-thermo field, axial static and dynamic loads, and span-thickness ratio on the dynamic instability region and amplitude frequency response curve of METE laminated microbeams are discussed.
本文基于修正耦合应力理论，研究了磁电热弹性（METE）层压微梁在屈曲后状态下的非线性动态响应。基于微梁的非线性屈曲后动态模型，考虑主要参数共振，应用多尺度方法对模型进行求解和分析，以获得非线性振幅频率响应关系。然后，利用雅可比矩阵对微梁进行稳态分析。在数值实例中，讨论了材料长度尺度参数、磁电热场、轴向静载荷和动载荷以及跨厚比对 METE 层压微梁动态不稳定区域和振幅频率响应曲线的影响。
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