{"title":"基于精确形函数的大位移分析的Timoshenko锥形梁柱单元有限元公式","authors":"Omar El Gendy, Ezzaat A. Sallam, M. Mohamedien","doi":"10.1080/13287982.2022.2070958","DOIUrl":null,"url":null,"abstract":"ABSTRACT A numerical formulation was carried out in this paper to produce the tangent stiffness matrix for two-nodal tapered Timoshenko beam-column elements for geometrically nonlinear analysis. The proposed solution is based on the exact shape functions and their derivatives describing the non-uniformity of the element properties. The section properties were presented as exponential functions with tapering indices to illustrate the variations in section properties along the tapered element length. The model is applicable for elements with different solid and hollow cross-sections. The proposed formulation is embedded into a Visual Basic code to carry out the analysis accompanied by many examples for validating its accuracy and efficiency. The model results are compared with those of commercial software and cited references that showed high accurate results with a small number of elements.","PeriodicalId":45617,"journal":{"name":"Australian Journal of Structural Engineering","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2022-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Finite element formulation of Timoshenko tapered beam-column element for large displacement analysis based on the exact shape functions\",\"authors\":\"Omar El Gendy, Ezzaat A. Sallam, M. Mohamedien\",\"doi\":\"10.1080/13287982.2022.2070958\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT A numerical formulation was carried out in this paper to produce the tangent stiffness matrix for two-nodal tapered Timoshenko beam-column elements for geometrically nonlinear analysis. The proposed solution is based on the exact shape functions and their derivatives describing the non-uniformity of the element properties. The section properties were presented as exponential functions with tapering indices to illustrate the variations in section properties along the tapered element length. The model is applicable for elements with different solid and hollow cross-sections. The proposed formulation is embedded into a Visual Basic code to carry out the analysis accompanied by many examples for validating its accuracy and efficiency. The model results are compared with those of commercial software and cited references that showed high accurate results with a small number of elements.\",\"PeriodicalId\":45617,\"journal\":{\"name\":\"Australian Journal of Structural Engineering\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2022-05-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Australian Journal of Structural Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/13287982.2022.2070958\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ENGINEERING, CIVIL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Australian Journal of Structural Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/13287982.2022.2070958","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
Finite element formulation of Timoshenko tapered beam-column element for large displacement analysis based on the exact shape functions
ABSTRACT A numerical formulation was carried out in this paper to produce the tangent stiffness matrix for two-nodal tapered Timoshenko beam-column elements for geometrically nonlinear analysis. The proposed solution is based on the exact shape functions and their derivatives describing the non-uniformity of the element properties. The section properties were presented as exponential functions with tapering indices to illustrate the variations in section properties along the tapered element length. The model is applicable for elements with different solid and hollow cross-sections. The proposed formulation is embedded into a Visual Basic code to carry out the analysis accompanied by many examples for validating its accuracy and efficiency. The model results are compared with those of commercial software and cited references that showed high accurate results with a small number of elements.
期刊介绍：
The Australian Journal of Structural Engineering (AJSE) is published under the auspices of the Structural College Board of Engineers Australia. It fulfils part of the Board''s mission for Continuing Professional Development. The journal also offers a means for exchange and interaction of scientific and professional issues and technical developments. The journal is open to members and non-members of Engineers Australia. Original papers on research and development (Technical Papers) and professional matters and achievements (Professional Papers) in all areas relevant to the science, art and practice of structural engineering are considered for possible publication. All papers and technical notes are peer-reviewed. The fundamental criterion for acceptance for publication is the intellectual and professional value of the contribution. Occasionally, papers previously published in essentially the same form elsewhere may be considered for publication. In this case acknowledgement to prior publication must be included in a footnote on page one of the manuscript. These papers are peer-reviewed as new submissions. The length of acceptable contributions typically should not exceed 4,000 to 5,000 word equivalents. Longer manuscripts may be considered at the discretion of the Editor. Technical Notes typically should not exceed about 1,000 word equivalents. Discussions on a Paper or Note published in the AJSE are welcomed. Discussions must address significant matters related to the content of a Paper or Technical Note and may include supplementary and critical comments and questions regarding content.
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