ON ERRORS WHEN REPLACING NON-BIFURCATIONAL STABILITY PROBLEMS FOR ELASTIC FRAMES WITH BIFURCATIONAL ONES
The method of replacing the existing distributed load with an equivalent load in the form of concentrated forces applied at the nodes is often used in frame stability problems. This replacement of the initial flexural equilibrium with an unbended tension-compression equilibrium introduces certain e...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Publishing House ASV
2024-03-01
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| Series: | International Journal for Computational Civil and Structural Engineering |
| Subjects: | |
| Online Access: | https://ijccse.iasv.ru/index.php/ijccse/article/view/836 |
| _version_ | 1797221547852693504 |
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| author | Gaik Manuylov Sergey Kosytsyn Maxim Begichev |
| author_facet | Gaik Manuylov Sergey Kosytsyn Maxim Begichev |
| author_sort | Gaik Manuylov |
| collection | DOAJ |
| description |
The method of replacing the existing distributed load with an equivalent load in the form of concentrated forces applied at the nodes is often used in frame stability problems. This replacement of the initial flexural equilibrium with an unbended tension-compression equilibrium introduces certain errors in the calculated values of critical loads. These errors can be of different signs (ie, the calculated "pseudo-bifurcation" critical force can be either greater than the actual one or less than it). The paper demonstrates the errors of such a load change on the example of frame stability problems.
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| first_indexed | 2024-04-24T13:07:11Z |
| format | Article |
| id | doaj.art-3f7e41e15e2d458f9d3c6185d01a37f3 |
| institution | Directory Open Access Journal |
| issn | 2587-9618 2588-0195 |
| language | English |
| last_indexed | 2024-04-24T13:07:11Z |
| publishDate | 2024-03-01 |
| publisher | Publishing House ASV |
| record_format | Article |
| series | International Journal for Computational Civil and Structural Engineering |
| spelling | doaj.art-3f7e41e15e2d458f9d3c6185d01a37f32024-04-05T07:23:18ZengPublishing House ASVInternational Journal for Computational Civil and Structural Engineering2587-96182588-01952024-03-0120110.22337/2587-9618-2024-20-1-116-123ON ERRORS WHEN REPLACING NON-BIFURCATIONAL STABILITY PROBLEMS FOR ELASTIC FRAMES WITH BIFURCATIONAL ONESGaik Manuylov0Sergey Kosytsyn1Maxim Begichev2Russian University of Transport, Moscow, RUSSIARussian University of Transport, Moscow, RUSSIARussian University of Transport, Moscow, RUSSIA The method of replacing the existing distributed load with an equivalent load in the form of concentrated forces applied at the nodes is often used in frame stability problems. This replacement of the initial flexural equilibrium with an unbended tension-compression equilibrium introduces certain errors in the calculated values of critical loads. These errors can be of different signs (ie, the calculated "pseudo-bifurcation" critical force can be either greater than the actual one or less than it). The paper demonstrates the errors of such a load change on the example of frame stability problems. https://ijccse.iasv.ru/index.php/ijccse/article/view/836stability, geometric nonlinearityfinite element method, bifurcation, limit point |
| spellingShingle | Gaik Manuylov Sergey Kosytsyn Maxim Begichev ON ERRORS WHEN REPLACING NON-BIFURCATIONAL STABILITY PROBLEMS FOR ELASTIC FRAMES WITH BIFURCATIONAL ONES International Journal for Computational Civil and Structural Engineering stability, geometric nonlinearityfinite element method, bifurcation, limit point |
| title | ON ERRORS WHEN REPLACING NON-BIFURCATIONAL STABILITY PROBLEMS FOR ELASTIC FRAMES WITH BIFURCATIONAL ONES |
| title_full | ON ERRORS WHEN REPLACING NON-BIFURCATIONAL STABILITY PROBLEMS FOR ELASTIC FRAMES WITH BIFURCATIONAL ONES |
| title_fullStr | ON ERRORS WHEN REPLACING NON-BIFURCATIONAL STABILITY PROBLEMS FOR ELASTIC FRAMES WITH BIFURCATIONAL ONES |
| title_full_unstemmed | ON ERRORS WHEN REPLACING NON-BIFURCATIONAL STABILITY PROBLEMS FOR ELASTIC FRAMES WITH BIFURCATIONAL ONES |
| title_short | ON ERRORS WHEN REPLACING NON-BIFURCATIONAL STABILITY PROBLEMS FOR ELASTIC FRAMES WITH BIFURCATIONAL ONES |
| title_sort | on errors when replacing non bifurcational stability problems for elastic frames with bifurcational ones |
| topic | stability, geometric nonlinearityfinite element method, bifurcation, limit point |
| url | https://ijccse.iasv.ru/index.php/ijccse/article/view/836 |
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