{"title":"双梁结构弹性系数的估计","authors":"L. White","doi":"10.1109/CDC.1989.70190","DOIUrl":null,"url":null,"abstract":"Consideration is given to the estimation of spatially dependent elastic parameters in a static distributed model of a simple structure composed of two beams at right angles. The potential energy functional of the system is formulated, and the existence of optimal estimators is proved for a regularized-output least-squares estimation problem. Regularity and approximation are discussed as well. The augmented Lagrange approach is used to incorporate the boundary conditions in a numerical algorithm.<<ETX>>","PeriodicalId":156565,"journal":{"name":"Proceedings of the 28th IEEE Conference on Decision and Control,","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Estimation of elastic coefficients for a two beam structure\",\"authors\":\"L. White\",\"doi\":\"10.1109/CDC.1989.70190\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Consideration is given to the estimation of spatially dependent elastic parameters in a static distributed model of a simple structure composed of two beams at right angles. The potential energy functional of the system is formulated, and the existence of optimal estimators is proved for a regularized-output least-squares estimation problem. Regularity and approximation are discussed as well. The augmented Lagrange approach is used to incorporate the boundary conditions in a numerical algorithm.<<ETX>>\",\"PeriodicalId\":156565,\"journal\":{\"name\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-12-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 28th IEEE Conference on Decision and Control,\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CDC.1989.70190\",\"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 28th IEEE Conference on Decision and Control,","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CDC.1989.70190","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Estimation of elastic coefficients for a two beam structure
Consideration is given to the estimation of spatially dependent elastic parameters in a static distributed model of a simple structure composed of two beams at right angles. The potential energy functional of the system is formulated, and the existence of optimal estimators is proved for a regularized-output least-squares estimation problem. Regularity and approximation are discussed as well. The augmented Lagrange approach is used to incorporate the boundary conditions in a numerical algorithm.<>
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