{"title":"Application of Nth-Order Plate Theory to the Dispersion of Progressive Waves in a Heterogeneous Medium","authors":"S. I. Zhavoronok, A. S. Kurbatov","doi":"10.3103/s1068798x24700941","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The generalized theory of <i>N</i>th-order plates is applied to the dispersion of progressive waves in a plane heterogeneous medium with large local gradients of the density and elastic modulus, simulating a structural defect. This approach is based on the spatial reduction of a three-dimensional model of the layer and finite basis functions of the thickness corresponding to semianalytical finite elements. The dispersion problem reduces to a generalized spectral problem for a pair of symmetric matrices. The convergence of the solution in terms of locking frequencies of the wave is considered.</p>","PeriodicalId":35875,"journal":{"name":"Russian Engineering Research","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Russian Engineering Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3103/s1068798x24700941","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
The generalized theory of Nth-order plates is applied to the dispersion of progressive waves in a plane heterogeneous medium with large local gradients of the density and elastic modulus, simulating a structural defect. This approach is based on the spatial reduction of a three-dimensional model of the layer and finite basis functions of the thickness corresponding to semianalytical finite elements. The dispersion problem reduces to a generalized spectral problem for a pair of symmetric matrices. The convergence of the solution in terms of locking frequencies of the wave is considered.
期刊介绍：
Russian Engineering Research is a journal that publishes articles on mechanical and production engineering. The journal covers the development of different branches of mechanical engineering, new technologies, and tools for machine and materials design. Emphasis is on operations research and production-line layout, industrial robots and manipulators, quality control and process engineering, kinematic analysis of machine assemblies, and computerized integrated manufacturing systems.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
