A Modification on Applied Element Method for Linear Analysis of Structures in the Range of Small and Large Deformations Based on Energy Concept
In this paper, the formulation of a modified applied element method for linear analysis of structures in the range of small and large deformations is expressed. To calculate deformations in the structure, the minimum total potential energy principle is used. This method estimates the linear behavior...
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| Format: | Article |
| Language: | English |
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University of Tehran Press
2020-06-01
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| Series: | Civil Engineering Infrastructures Journal |
| Subjects: | |
| Online Access: | https://ceij.ut.ac.ir/article_76793_9bca2905364c85fe6ef69340dc639644.pdf |
| _version_ | 1811241645810647040 |
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| author | Mohamadreza Shokri Hamidreza Tavakoli Ali Rahmani |
| author_facet | Mohamadreza Shokri Hamidreza Tavakoli Ali Rahmani |
| author_sort | Mohamadreza Shokri |
| collection | DOAJ |
| description | In this paper, the formulation of a modified applied element method for linear analysis of structures in the range of small and large deformations is expressed. To calculate deformations in the structure, the minimum total potential energy principle is used. This method estimates the linear behavior of the structure in the range of small and large deformations, with a very good accuracy and low analytical time. The results show that analysis of a console beam by proposed method, even with minimum numbers of elements, in range of small deformations, has a computation error of less than 2%. Meanwhile, solving the same problem by Applied Element Method (AEM), has more than 31% error. Also, the buckling and post-buckling behavior of the structure, within the range of large deformations, is well-suited. So, with minimum number of elements, and very high accuracy, the buckling behavior of the fixed-base column was simulated. Also, the computational time of the proposed method is less than 40 percent of the computational time in the application of the applied elements method with 10 series of connection springs. |
| first_indexed | 2024-04-12T13:39:05Z |
| format | Article |
| id | doaj.art-88745253f20c47c1a47f3deae18d16d4 |
| institution | Directory Open Access Journal |
| issn | 2322-2093 2423-6691 |
| language | English |
| last_indexed | 2024-04-12T13:39:05Z |
| publishDate | 2020-06-01 |
| publisher | University of Tehran Press |
| record_format | Article |
| series | Civil Engineering Infrastructures Journal |
| spelling | doaj.art-88745253f20c47c1a47f3deae18d16d42022-12-22T03:30:53ZengUniversity of Tehran PressCivil Engineering Infrastructures Journal2322-20932423-66912020-06-01531536910.22059/ceij.2020.269910.152976793A Modification on Applied Element Method for Linear Analysis of Structures in the Range of Small and Large Deformations Based on Energy ConceptMohamadreza Shokri0Hamidreza Tavakoli1Ali Rahmani2Babol Noshirvani University of TechnologyBabol Noshirvani University of TechnologyBabol Noshirvani University of TechnologyIn this paper, the formulation of a modified applied element method for linear analysis of structures in the range of small and large deformations is expressed. To calculate deformations in the structure, the minimum total potential energy principle is used. This method estimates the linear behavior of the structure in the range of small and large deformations, with a very good accuracy and low analytical time. The results show that analysis of a console beam by proposed method, even with minimum numbers of elements, in range of small deformations, has a computation error of less than 2%. Meanwhile, solving the same problem by Applied Element Method (AEM), has more than 31% error. Also, the buckling and post-buckling behavior of the structure, within the range of large deformations, is well-suited. So, with minimum number of elements, and very high accuracy, the buckling behavior of the fixed-base column was simulated. Also, the computational time of the proposed method is less than 40 percent of the computational time in the application of the applied elements method with 10 series of connection springs.https://ceij.ut.ac.ir/article_76793_9bca2905364c85fe6ef69340dc639644.pdfapplied element methodlinear analysisminimum total potential energy principlesmall and large deformations |
| spellingShingle | Mohamadreza Shokri Hamidreza Tavakoli Ali Rahmani A Modification on Applied Element Method for Linear Analysis of Structures in the Range of Small and Large Deformations Based on Energy Concept Civil Engineering Infrastructures Journal applied element method linear analysis minimum total potential energy principle small and large deformations |
| title | A Modification on Applied Element Method for Linear Analysis of Structures in the Range of Small and Large Deformations Based on Energy Concept |
| title_full | A Modification on Applied Element Method for Linear Analysis of Structures in the Range of Small and Large Deformations Based on Energy Concept |
| title_fullStr | A Modification on Applied Element Method for Linear Analysis of Structures in the Range of Small and Large Deformations Based on Energy Concept |
| title_full_unstemmed | A Modification on Applied Element Method for Linear Analysis of Structures in the Range of Small and Large Deformations Based on Energy Concept |
| title_short | A Modification on Applied Element Method for Linear Analysis of Structures in the Range of Small and Large Deformations Based on Energy Concept |
| title_sort | modification on applied element method for linear analysis of structures in the range of small and large deformations based on energy concept |
| topic | applied element method linear analysis minimum total potential energy principle small and large deformations |
| url | https://ceij.ut.ac.ir/article_76793_9bca2905364c85fe6ef69340dc639644.pdf |
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