Component based model order reduction with mortar tied contact for nonlinear quasi-static mechanical problems
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912118075293696 |
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| author | Ritzert, Stephan Kehls, Jannick Reese, Stefanie Brepols, Tim |
| author_facet | Ritzert, Stephan Kehls, Jannick Reese, Stefanie Brepols, Tim |
| contents | In this work, we present a model order reduction technique for nonlinear structures assembled from components.The reduced order model is constructed by reducing the substructures with proper orthogonal decomposition and connecting them by a mortar-tied contact formulation. The snapshots for the substructure projection matrices are computed on the substructure level by the proper orthogonal decomposition (POD) method. The snapshots are computed using a random sampling procedure based on a parametrization of boundary conditions. To reduce the computational effort of the snapshot computation full-order simulations of the substructures are only computed when the error of the reduced solution is above a threshold. In numerical examples, we show the accuracy and efficiency of the method for nonlinear problems involving material and geometric nonlinearity as well as non-matching meshes. We are able to predict solutions of systems that we did not compute in our snapshots. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02072 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Component based model order reduction with mortar tied contact for nonlinear quasi-static mechanical problems Ritzert, Stephan Kehls, Jannick Reese, Stefanie Brepols, Tim Computational Engineering, Finance, and Science In this work, we present a model order reduction technique for nonlinear structures assembled from components.The reduced order model is constructed by reducing the substructures with proper orthogonal decomposition and connecting them by a mortar-tied contact formulation. The snapshots for the substructure projection matrices are computed on the substructure level by the proper orthogonal decomposition (POD) method. The snapshots are computed using a random sampling procedure based on a parametrization of boundary conditions. To reduce the computational effort of the snapshot computation full-order simulations of the substructures are only computed when the error of the reduced solution is above a threshold. In numerical examples, we show the accuracy and efficiency of the method for nonlinear problems involving material and geometric nonlinearity as well as non-matching meshes. We are able to predict solutions of systems that we did not compute in our snapshots. |
| title | Component based model order reduction with mortar tied contact for nonlinear quasi-static mechanical problems |
| topic | Computational Engineering, Finance, and Science |
| url | https://arxiv.org/abs/2407.02072 |