{"title":"非均匀Timoshenko梁中剪切和弯曲模态共振相互作用的渐近理论","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":"{\"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}","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}
An asymptotic theory of resonance interaction of shear and bending modes in a non-uniform Timoshenko beam
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.