Augmented Lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using FEM
This paper focuses on the treatment of nonlinear multi freedom constraints using an augmented Lagrangian method in finite element analysis of frames. The process of imposing boundary constraints is developed by changing the assembly stiffness equation to produce a modified system of equation conside...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2021-01-01
|
| Series: | E3S Web of Conferences |
| Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/57/e3sconf_catpid2021_01010.pdf |
| _version_ | 1819119634281922560 |
|---|---|
| author | Bich Quyen Vu Thi Tien Dao Ngoc Van Tran Thi Thuy Van Dat Pham |
| author_facet | Bich Quyen Vu Thi Tien Dao Ngoc Van Tran Thi Thuy Van Dat Pham |
| author_sort | Bich Quyen Vu Thi |
| collection | DOAJ |
| description | This paper focuses on the treatment of nonlinear multi freedom constraints using an augmented Lagrangian method in finite element analysis of frames. The process of imposing boundary constraints is developed by changing the assembly stiffness equation to produce a modified system of equation considering nonlinear multi freedom constraints. For imposing the nonlinear constraints two better methods are the penalty augmentation method and Lagrange multiplier adjunction method. But there are not free of disadvantages. Using penalty method has a disadvantage in the choice appropriate weight values that balance solution accuracy with the violation of constraint conditions. Using the Lagrange multiplier adjunction method requires additional unknowns, and more complicated storage allocation procedures. This research proposes the connection between these methods using the augmented Lagrangian method for imposing the nonlinear multi freedom constraints in finite element analysis of frame. Based on the Newton Raphson method the incremental-iterative algorithm for solving the nonlinear balanced equations is established. |
| first_indexed | 2024-12-22T06:07:53Z |
| format | Article |
| id | doaj.art-f5c036f07cbc4d1d90a58957ea462d5c |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-22T06:07:53Z |
| publishDate | 2021-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-f5c036f07cbc4d1d90a58957ea462d5c2022-12-21T18:36:21ZengEDP SciencesE3S Web of Conferences2267-12422021-01-012810101010.1051/e3sconf/202128101010e3sconf_catpid2021_01010Augmented Lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using FEMBich Quyen Vu ThiTien Dao NgocVan Tran Thi ThuyVan Dat PhamThis paper focuses on the treatment of nonlinear multi freedom constraints using an augmented Lagrangian method in finite element analysis of frames. The process of imposing boundary constraints is developed by changing the assembly stiffness equation to produce a modified system of equation considering nonlinear multi freedom constraints. For imposing the nonlinear constraints two better methods are the penalty augmentation method and Lagrange multiplier adjunction method. But there are not free of disadvantages. Using penalty method has a disadvantage in the choice appropriate weight values that balance solution accuracy with the violation of constraint conditions. Using the Lagrange multiplier adjunction method requires additional unknowns, and more complicated storage allocation procedures. This research proposes the connection between these methods using the augmented Lagrangian method for imposing the nonlinear multi freedom constraints in finite element analysis of frame. Based on the Newton Raphson method the incremental-iterative algorithm for solving the nonlinear balanced equations is established.https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/57/e3sconf_catpid2021_01010.pdf |
| spellingShingle | Bich Quyen Vu Thi Tien Dao Ngoc Van Tran Thi Thuy Van Dat Pham Augmented Lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using FEM E3S Web of Conferences |
| title | Augmented Lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using FEM |
| title_full | Augmented Lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using FEM |
| title_fullStr | Augmented Lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using FEM |
| title_full_unstemmed | Augmented Lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using FEM |
| title_short | Augmented Lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using FEM |
| title_sort | augmented lagrangian method for imposing nonlinear multi freedom constraints in static analysis for frames using fem |
| url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/57/e3sconf_catpid2021_01010.pdf |
| work_keys_str_mv | AT bichquyenvuthi augmentedlagrangianmethodforimposingnonlinearmultifreedomconstraintsinstaticanalysisforframesusingfem AT tiendaongoc augmentedlagrangianmethodforimposingnonlinearmultifreedomconstraintsinstaticanalysisforframesusingfem AT vantranthithuy augmentedlagrangianmethodforimposingnonlinearmultifreedomconstraintsinstaticanalysisforframesusingfem AT vandatpham augmentedlagrangianmethodforimposingnonlinearmultifreedomconstraintsinstaticanalysisforframesusingfem |