{"title":"Nonlinear vibration and buckling analyses of sandwich arch with titanium alloy face sheets and a porosity-dependent GPLRC core","authors":"Ge Yan, Hadi Babaei","doi":"10.1007/s00707-024-03982-3","DOIUrl":null,"url":null,"abstract":"<div><p>This work presents the vibration and buckling analyses for a sandwich arch with Titanium alloy face sheets and a metal foam core via a new porosity-dependent model. Porous aluminum core consists of six layers so that each of them reinforce by graphene platelets (GPLs) with different values of porosity to achieve a piece-wise functionally graded media. The mathematical modelling is formulated to reveal nonlinear responses of the porous sandwich arch embedded in an elastic nonlinear medium. The higher-order equations of motion are achieved by taking Hamilton’s principle within the framework of the von Kármán nonlinear hypothesis. Afterwards, the established nonlinear problems are solved analytically with the aid of a perturbation-based technique implementing the Galerkin procedure. The investigation results show effects of the weight fraction of GPLs, porosity distribution, geometrical characters and foundation stiffness on nonlinear vibration and buckling of the porous sandwich arch.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"235 8","pages":"5431 - 5449"},"PeriodicalIF":2.3000,"publicationDate":"2024-06-27","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/s00707-024-03982-3","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
This work presents the vibration and buckling analyses for a sandwich arch with Titanium alloy face sheets and a metal foam core via a new porosity-dependent model. Porous aluminum core consists of six layers so that each of them reinforce by graphene platelets (GPLs) with different values of porosity to achieve a piece-wise functionally graded media. The mathematical modelling is formulated to reveal nonlinear responses of the porous sandwich arch embedded in an elastic nonlinear medium. The higher-order equations of motion are achieved by taking Hamilton’s principle within the framework of the von Kármán nonlinear hypothesis. Afterwards, the established nonlinear problems are solved analytically with the aid of a perturbation-based technique implementing the Galerkin procedure. The investigation results show effects of the weight fraction of GPLs, porosity distribution, geometrical characters and foundation stiffness on nonlinear vibration and buckling of the porous sandwich arch.
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.