Numerical High-Order Model for the Nonlinear Elastic Computation of Helical Structures
In this work, we propose a high-order algorithm based on the asymptotic numerical method (ANM) for the nonlinear elastic computation of helical structures without neglecting any nonlinear term. The nonlinearity considered in the following study will be a geometric type, and the kinematics adopted in...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/6655909 |
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| author | Fatima Boussaoui Hassane Lahmam Bouazza Braikat |
| author_facet | Fatima Boussaoui Hassane Lahmam Bouazza Braikat |
| author_sort | Fatima Boussaoui |
| collection | DOAJ |
| description | In this work, we propose a high-order algorithm based on the asymptotic numerical method (ANM) for the nonlinear elastic computation of helical structures without neglecting any nonlinear term. The nonlinearity considered in the following study will be a geometric type, and the kinematics adopted in this numerical modeling takes into account the hypotheses of Timoshenko and de Saint-Venant. The finite element used in the discretization of the middle line of this structure is curvilinear with twelve degrees of freedom. Using a simple example, we show the efficiency of the algorithm which was carried out in this context and which resides in the reduction of the number of inversions of the tangent matrix compared to the incremental iterative algorithm of Newton-Raphson. |
| format | Article |
| id | doaj-art-30ebe48618404856b0c988084af25355 |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-30ebe48618404856b0c988084af253552025-02-03T01:29:23ZengWileyModelling and Simulation in Engineering1687-55911687-56052021-01-01202110.1155/2021/66559096655909Numerical High-Order Model for the Nonlinear Elastic Computation of Helical StructuresFatima Boussaoui0Hassane Lahmam1Bouazza Braikat2Engineering and Materials Laboratory (LIMAT), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, BP 7955, Sidi Othmane, Casablanca, MoroccoEngineering and Materials Laboratory (LIMAT), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, BP 7955, Sidi Othmane, Casablanca, MoroccoEngineering and Materials Laboratory (LIMAT), Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, BP 7955, Sidi Othmane, Casablanca, MoroccoIn this work, we propose a high-order algorithm based on the asymptotic numerical method (ANM) for the nonlinear elastic computation of helical structures without neglecting any nonlinear term. The nonlinearity considered in the following study will be a geometric type, and the kinematics adopted in this numerical modeling takes into account the hypotheses of Timoshenko and de Saint-Venant. The finite element used in the discretization of the middle line of this structure is curvilinear with twelve degrees of freedom. Using a simple example, we show the efficiency of the algorithm which was carried out in this context and which resides in the reduction of the number of inversions of the tangent matrix compared to the incremental iterative algorithm of Newton-Raphson.http://dx.doi.org/10.1155/2021/6655909 |
| spellingShingle | Fatima Boussaoui Hassane Lahmam Bouazza Braikat Numerical High-Order Model for the Nonlinear Elastic Computation of Helical Structures Modelling and Simulation in Engineering |
| title | Numerical High-Order Model for the Nonlinear Elastic Computation of Helical Structures |
| title_full | Numerical High-Order Model for the Nonlinear Elastic Computation of Helical Structures |
| title_fullStr | Numerical High-Order Model for the Nonlinear Elastic Computation of Helical Structures |
| title_full_unstemmed | Numerical High-Order Model for the Nonlinear Elastic Computation of Helical Structures |
| title_short | Numerical High-Order Model for the Nonlinear Elastic Computation of Helical Structures |
| title_sort | numerical high order model for the nonlinear elastic computation of helical structures |
| url | http://dx.doi.org/10.1155/2021/6655909 |
| work_keys_str_mv | AT fatimaboussaoui numericalhighordermodelforthenonlinearelasticcomputationofhelicalstructures AT hassanelahmam numericalhighordermodelforthenonlinearelasticcomputationofhelicalstructures AT bouazzabraikat numericalhighordermodelforthenonlinearelasticcomputationofhelicalstructures |