{"title":"An Arbitrary Polygonal Stress Hybrid Element for Structural Dynamic Response Analysis","authors":"Xin Zeng, Ran Guo, Lihui Wang","doi":"10.1007/s10338-023-00393-0","DOIUrl":null,"url":null,"abstract":"<div><p>This paper constructs a new two-dimensional arbitrary polygonal stress hybrid dynamic (APSHD) element for structural dynamic response analysis. Firstly, the energy function is established based on Hamilton’s principle. Then, the finite element time–space discrete format is constructed using the generalized variational principle and the direct integration method. Finally, an explicit polynomial form of the combined stress solution is give, and its derivation process is shown in detail. After completing the theoretical construction, the numerical calculation program of the APSHD element is written in Fortran, and samples are verified. Models show that the APSHD element performs well in accuracy and convergence. Furthermore, it is insensitive to mesh distortion and has low dependence on selecting time steps.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"36 5","pages":"692 - 701"},"PeriodicalIF":2.0000,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10338-023-00393-0.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mechanica Solida Sinica","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10338-023-00393-0","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
This paper constructs a new two-dimensional arbitrary polygonal stress hybrid dynamic (APSHD) element for structural dynamic response analysis. Firstly, the energy function is established based on Hamilton’s principle. Then, the finite element time–space discrete format is constructed using the generalized variational principle and the direct integration method. Finally, an explicit polynomial form of the combined stress solution is give, and its derivation process is shown in detail. After completing the theoretical construction, the numerical calculation program of the APSHD element is written in Fortran, and samples are verified. Models show that the APSHD element performs well in accuracy and convergence. Furthermore, it is insensitive to mesh distortion and has low dependence on selecting time steps.
期刊介绍：
Acta Mechanica Solida Sinica aims to become the best journal of solid mechanics in China and a worldwide well-known one in the field of mechanics, by providing original, perspective and even breakthrough theories and methods for the research on solid mechanics.
The Journal is devoted to the publication of research papers in English in all fields of solid-state mechanics and its related disciplines in science, technology and engineering, with a balanced coverage on analytical, experimental, numerical and applied investigations. Articles, Short Communications, Discussions on previously published papers, and invitation-based Reviews are published bimonthly. The maximum length of an article is 30 pages, including equations, figures and tables
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