{"title":"用交替边界元法分析固体力学中的动力","authors":"C.A. Brebbia, D. Nardini","doi":"10.1016/0261-7277(83)90040-2","DOIUrl":null,"url":null,"abstract":"<div><p>A new procedure for eigenvalue and transient dynamic analyses in solid mechanics is presented here using a boundary integral approach. Contrary to previous work, it is shown in this paper that by applying a special class of co-ordinate functions one can obtain the mass matrix using boundary values. As a consequence, the free vibration case is reduced to an algebraic eigenva problem, while transient vibrations can be solved by using a direct time integration procedure.</p></div>","PeriodicalId":100715,"journal":{"name":"International Journal of Soil Dynamics and Earthquake Engineering","volume":"2 4","pages":"Pages 228-233"},"PeriodicalIF":0.0000,"publicationDate":"1983-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0261-7277(83)90040-2","citationCount":"0","resultStr":"{\"title\":\"Dynamic analysis in solid mechanics by an alternative boundary element procedure\",\"authors\":\"C.A. Brebbia, D. Nardini\",\"doi\":\"10.1016/0261-7277(83)90040-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A new procedure for eigenvalue and transient dynamic analyses in solid mechanics is presented here using a boundary integral approach. Contrary to previous work, it is shown in this paper that by applying a special class of co-ordinate functions one can obtain the mass matrix using boundary values. As a consequence, the free vibration case is reduced to an algebraic eigenva problem, while transient vibrations can be solved by using a direct time integration procedure.</p></div>\",\"PeriodicalId\":100715,\"journal\":{\"name\":\"International Journal of Soil Dynamics and Earthquake Engineering\",\"volume\":\"2 4\",\"pages\":\"Pages 228-233\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1983-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0261-7277(83)90040-2\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Soil Dynamics and Earthquake Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0261727783900402\",\"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 Journal of Soil Dynamics and Earthquake Engineering","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0261727783900402","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Dynamic analysis in solid mechanics by an alternative boundary element procedure
A new procedure for eigenvalue and transient dynamic analyses in solid mechanics is presented here using a boundary integral approach. Contrary to previous work, it is shown in this paper that by applying a special class of co-ordinate functions one can obtain the mass matrix using boundary values. As a consequence, the free vibration case is reduced to an algebraic eigenva problem, while transient vibrations can be solved by using a direct time integration procedure.
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