{"title":"在矩形薄板自由边缘附近出现平面局部振动的条件下","authors":"M. Belubekyan","doi":"10.46991/pysu:a/2017.51.1.042","DOIUrl":null,"url":null,"abstract":"On the basis of the equations of generalized plane stress state the problems of planar vibrations of a rectangular thin plate are investigated. It is established possibility of the appearance of vibrations with amplitude decreasing exponentially, when moving from free edge to the opposite fixed edge. The conditions of the appearance of such localized vibrations depending on the size of the plate and the methods of fixation of other three sides are obtained.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"97 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2017-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"ON THE CONDITION OF PLANAR LOCALIZED VIBRATIONS APPEARANCE IN THE VICINITY OF THE FREE EDGE OF A THIN RECTANGULAR PLATE\",\"authors\":\"M. Belubekyan\",\"doi\":\"10.46991/pysu:a/2017.51.1.042\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"On the basis of the equations of generalized plane stress state the problems of planar vibrations of a rectangular thin plate are investigated. It is established possibility of the appearance of vibrations with amplitude decreasing exponentially, when moving from free edge to the opposite fixed edge. The conditions of the appearance of such localized vibrations depending on the size of the plate and the methods of fixation of other three sides are obtained.\",\"PeriodicalId\":21146,\"journal\":{\"name\":\"Proceedings of the YSU A: Physical and Mathematical Sciences\",\"volume\":\"97 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-03-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the YSU A: Physical and Mathematical Sciences\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46991/pysu:a/2017.51.1.042\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the YSU A: Physical and Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46991/pysu:a/2017.51.1.042","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
ON THE CONDITION OF PLANAR LOCALIZED VIBRATIONS APPEARANCE IN THE VICINITY OF THE FREE EDGE OF A THIN RECTANGULAR PLATE
On the basis of the equations of generalized plane stress state the problems of planar vibrations of a rectangular thin plate are investigated. It is established possibility of the appearance of vibrations with amplitude decreasing exponentially, when moving from free edge to the opposite fixed edge. The conditions of the appearance of such localized vibrations depending on the size of the plate and the methods of fixation of other three sides are obtained.
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