{"title":"动态问题数学建模的边界方程方法。","authors":"D. N. Nizomov, A.I. Dadaboev","doi":"10.37538/0039-2383.2023.2.69.74","DOIUrl":null,"url":null,"abstract":"The article describes the process of mathematical modeling of the dynamic problem of the theory of elasticity by the method of boundary integral equations. As a result of applying successive approximation, a system of algebraic equations is obtained, which is solved by a step method. The developed algorithm makes it possible to study the stress-strain state of a two-dimensional problem of the theory of elasticity from various dynamic influences.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"MATHEMATICAL MODELING OF DYNAMIC PROBLEMS METHOD OF BOUNDARY EQUATIONS.\",\"authors\":\"D. N. Nizomov, A.I. Dadaboev\",\"doi\":\"10.37538/0039-2383.2023.2.69.74\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The article describes the process of mathematical modeling of the dynamic problem of the theory of elasticity by the method of boundary integral equations. As a result of applying successive approximation, a system of algebraic equations is obtained, which is solved by a step method. The developed algorithm makes it possible to study the stress-strain state of a two-dimensional problem of the theory of elasticity from various dynamic influences.\",\"PeriodicalId\":273885,\"journal\":{\"name\":\"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37538/0039-2383.2023.2.69.74\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37538/0039-2383.2023.2.69.74","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
MATHEMATICAL MODELING OF DYNAMIC PROBLEMS METHOD OF BOUNDARY EQUATIONS.
The article describes the process of mathematical modeling of the dynamic problem of the theory of elasticity by the method of boundary integral equations. As a result of applying successive approximation, a system of algebraic equations is obtained, which is solved by a step method. The developed algorithm makes it possible to study the stress-strain state of a two-dimensional problem of the theory of elasticity from various dynamic influences.
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