{"title":"An asymptotic theory of resonance interaction of shear and bending modes in a non-uniform Timoshenko beam","authors":"M. Perel, I. Fialkovsky, A.P. Kiaelev","doi":"10.1109/DD.2000.902364","DOIUrl":null,"url":null,"abstract":"The propagation of modes in a smoothly non-uniform Timoshenko beam is considered. We present an asymptotic theory of interaction of two modes whose phase velocities intersect at a single point and are non-tangent there. The high-frequency regime in the time-harmonic case and propagation of discontinuities are both considered.","PeriodicalId":184684,"journal":{"name":"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2000.902364","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The propagation of modes in a smoothly non-uniform Timoshenko beam is considered. We present an asymptotic theory of interaction of two modes whose phase velocities intersect at a single point and are non-tangent there. The high-frequency regime in the time-harmonic case and propagation of discontinuities are both considered.
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