{"title":"A simple analytical model for static and dynamic analysis of unsymmetrical bi-stable variable stiffness composite laminated plates","authors":"Hadi Ghashochi-Bargh, Iman Keshtegar","doi":"10.1007/s00707-025-04268-y","DOIUrl":null,"url":null,"abstract":"<div><p>Bi-stable variable stiffness (VS) structures are passive systems that can maintain equilibrium after shape changes, making them a promising approach for adaptive structures. In this paper, a simple analytical model based on the Rayleigh–Ritz method is used for static and dynamic analysis of square and rectangular unsymmetrical bi-stable VS composite laminated plates, and Hamilton’s principle is used to investigate the dynamic snap-through phenomena. The effects of ply thickness, ply angles, and aspect ratio on strain energy and out-of-plane displacements of two stable states and dynamic snap-through are investigated. Also, the obtained analytical results are compared with finite element analysis to validate the accuracy of model. The obtained results show a good agreement between the analytical and finite element method, and show the good efficiency of the present method for use in VS composite structures.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"236 3","pages":"2211 - 2231"},"PeriodicalIF":2.3000,"publicationDate":"2025-03-01","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/s00707-025-04268-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
Bi-stable variable stiffness (VS) structures are passive systems that can maintain equilibrium after shape changes, making them a promising approach for adaptive structures. In this paper, a simple analytical model based on the Rayleigh–Ritz method is used for static and dynamic analysis of square and rectangular unsymmetrical bi-stable VS composite laminated plates, and Hamilton’s principle is used to investigate the dynamic snap-through phenomena. The effects of ply thickness, ply angles, and aspect ratio on strain energy and out-of-plane displacements of two stable states and dynamic snap-through are investigated. Also, the obtained analytical results are compared with finite element analysis to validate the accuracy of model. The obtained results show a good agreement between the analytical and finite element method, and show the good efficiency of the present method for use in VS composite structures.
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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