{"title":"Multifield gradient theory on vibration of FG magneto-electro-elastic microbeams resting on Pasternak foundation","authors":"Y. S. Li, S. Li","doi":"10.1007/s00707-024-04066-y","DOIUrl":null,"url":null,"abstract":"<div><p>A novel multifield gradient theory for magneto-electro-elastic (MEE) materials including strain, electric and magnetic potentials, and inertia gradients is presented. Then, free vibration of the functionally graded MEE (FGMEE) microbeams based on the multifield gradient theory is investigated. The material properties of the FGMEE microbeams change continuously and symmetrically along the thickness direction in terms of a power-law distribution. Four kinds of length scale parameters are adopted to capture the size effect of the FGMEE microbeams. Based on the Hamilton’s principle, the equations of motion for the FGMEE microbeams are derived, which are solved subsequently by differential quadrature method. In the numerical examples, the effects of length scale parameters, electric and magnetic loadings, foundation parameters, and material gradient index on the natural frequency are analyzed and discussed in detail.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 12","pages":"7279 - 7299"},"PeriodicalIF":2.3000,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00707-024-04066-y","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
A novel multifield gradient theory for magneto-electro-elastic (MEE) materials including strain, electric and magnetic potentials, and inertia gradients is presented. Then, free vibration of the functionally graded MEE (FGMEE) microbeams based on the multifield gradient theory is investigated. The material properties of the FGMEE microbeams change continuously and symmetrically along the thickness direction in terms of a power-law distribution. Four kinds of length scale parameters are adopted to capture the size effect of the FGMEE microbeams. Based on the Hamilton’s principle, the equations of motion for the FGMEE microbeams are derived, which are solved subsequently by differential quadrature method. In the numerical examples, the effects of length scale parameters, electric and magnetic loadings, foundation parameters, and material gradient index on the natural frequency are analyzed and discussed in detail.
期刊介绍：
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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