{"title":"NUMERICAL EXAMPLE OF GRADUAL TRANSFORMATION OF STIFFNESS MATRIX FOR TRIANGULAR FINITE ELEMENT OF DEEP BEAM AND ITS AFE.","authors":"A. V. Ermakova","doi":"10.37538/0039-2383.2022.5.20.28","DOIUrl":null,"url":null,"abstract":"The paper considers the numerical example of gradual transformation of the stiffness matrix of triangular finite element of deep beam with the help of stiffness matrix of its additional finite elements. Material FE (concrete) reveals from two (under compression) to four (under tension) physical nonlinear properties before collapse. Initial stiffness matrix changes due to the every one. Therefore two variants of its numerical transformation are considered. Both variants confirm the possibility of realization of the analysis of structures with several nonlinear properties at strength limit stae when the Additional Finite Element Method (AFEM) is used.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-04-25","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/10.37538/0039-2383.2022.5.20.28","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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摘要

本文考虑了深梁三角形有限元刚度矩阵借助于附加有限元刚度矩阵逐渐变换的数值实例。材料FE(混凝土)在坍塌前表现出从两种(受压)到四种(受拉)的物理非线性特性。初始刚度矩阵会随着每一个的变化而变化。因此,本文考虑了其数值变换的两种变体。这两种形式都证实了附加有限元法(AFEM)在强度极限状态下分析具有多种非线性特性的结构的可能性。
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NUMERICAL EXAMPLE OF GRADUAL TRANSFORMATION OF STIFFNESS MATRIX FOR TRIANGULAR FINITE ELEMENT OF DEEP BEAM AND ITS AFE.
The paper considers the numerical example of gradual transformation of the stiffness matrix of triangular finite element of deep beam with the help of stiffness matrix of its additional finite elements. Material FE (concrete) reveals from two (under compression) to four (under tension) physical nonlinear properties before collapse. Initial stiffness matrix changes due to the every one. Therefore two variants of its numerical transformation are considered. Both variants confirm the possibility of realization of the analysis of structures with several nonlinear properties at strength limit stae when the Additional Finite Element Method (AFEM) is used.
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