Pub Date : 1900-01-01DOI: 10.37538/0039-2383.2022.6.8.17
I.S. Zavyalov
The article presents the results of a comparative analysis of the accuracy of a thin bending plate according to the FEM in the form of a classical mixed method (CSM) and based on the FEM in dis placements using the SP LIRA SAPR. The analysis of calculation results for plates with several types of boundary conditions and representation in the form of an ensemble of rectangular finite elements with 3 unknowns at each node is performed. Based on the results of calculations, a conclusion was made about the accuracy and correctness of calculations using two forms of the FEM. Graphs of convergence of calculation results are given.
{"title":"COMPARATIVE ANALYSIS OF THE ACCURACY OF THE CALCULATION RESULTS OF A THIN BENDABLE PLATE USING VARIOUS FORMS OF FEM","authors":"I.S. Zavyalov","doi":"10.37538/0039-2383.2022.6.8.17","DOIUrl":"https://doi.org/10.37538/0039-2383.2022.6.8.17","url":null,"abstract":"The article presents the results of a comparative analysis of the accuracy of a thin bending plate according to the FEM in the form of a classical mixed method (CSM) and based on the FEM in dis placements using the SP LIRA SAPR. The analysis of calculation results for plates with several types of boundary conditions and representation in the form of an ensemble of rectangular finite elements with 3 unknowns at each node is performed. Based on the results of calculations, a conclusion was made about the accuracy and correctness of calculations using two forms of the FEM. Graphs of convergence of calculation results are given.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115425789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.37538/0039-2383.2022.6.18.27
S. Krivoshapko, O. Aleshina, V. N. Ivanov
In a paper, surfaces, recommended for forming hull shapes of river and see ships, are supposed to use in architecture and building construction. These surfaces contain the given main frame from three plane curves in the form of superellipses. The presence of three overall dimensions and six arbitrary exponents in explicit and parametric equations of presented surfaces gives an opportunity to have large quantity of diverse forms of these surfaces, having only three equations. Designers must choose the most optimal surface taking into account architectural demands and strength conditions. In a paper, it is shown and illustrated the principles of geometric modeling of middle surfaces of thin shells of the offered type and an opportunity of their static analysis with the help of FEM is presented.
{"title":"STATIC ANALYSIS OF SHELLS WITH MIDDLE SURFACES CONTAINING THE MAIN FRAME FROM THREE GIVEN SUPERELLIPSES","authors":"S. Krivoshapko, O. Aleshina, V. N. Ivanov","doi":"10.37538/0039-2383.2022.6.18.27","DOIUrl":"https://doi.org/10.37538/0039-2383.2022.6.18.27","url":null,"abstract":"In a paper, surfaces, recommended for forming hull shapes of river and see ships, are supposed to use in architecture and building construction. These surfaces contain the given main frame from three plane curves in the form of superellipses. The presence of three overall dimensions and six arbitrary exponents in explicit and parametric equations of presented surfaces gives an opportunity to have large quantity of diverse forms of these surfaces, having only three equations. Designers must choose the most optimal surface taking into account architectural demands and strength conditions. In a paper, it is shown and illustrated the principles of geometric modeling of middle surfaces of thin shells of the offered type and an opportunity of their static analysis with the help of FEM is presented.","PeriodicalId":273885,"journal":{"name":"STRUCTURAL MECHANICS AND ANALYSIS OF CONSTRUCTIONS","volume":"128 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132544657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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