The Investigation of a Method to Improve Static Stiffness of Automobile Body Use Eigenvalue Decomposition of the stiffness matrix.
Automobile body design is performed using structural analysis by numerical calculation, but to make it efficient, it is important to establish a technique that can quickly derive the structure satisfying the target value. Although optimization methods are used in many design studies, problems someti...
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| Format: | Article |
| Language: | Japanese |
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The Japan Society of Mechanical Engineers
2024-12-01
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| Series: | Nihon Kikai Gakkai ronbunshu |
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| Online Access: | https://www.jstage.jst.go.jp/article/transjsme/91/941/91_24-00169/_pdf/-char/en |
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| _version_ | 1832584912202366976 |
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| author | Akira SATOMURA Kohei FURUYA Shinichi MARUYAMA Shinji NISHIWAKI |
| author_facet | Akira SATOMURA Kohei FURUYA Shinichi MARUYAMA Shinji NISHIWAKI |
| author_sort | Akira SATOMURA |
| collection | DOAJ |
| description | Automobile body design is performed using structural analysis by numerical calculation, but to make it efficient, it is important to establish a technique that can quickly derive the structure satisfying the target value. Although optimization methods are used in many design studies, problems sometimes arise in the actual design stage, and conventional methods in which designers make iterative design changes based on trial and error are still widely used. However, when designing the mutual average compliance defined by the sum of the weights of displacements including displacements other than the external force acting point, it is difficult to derive a design plan because the strain energy, which is a general rigidity index, is not proportional to the mutual average compliance. Furthermore, even if the design sensitivity is calculated, it is difficult for the designer to estimate the type of required stiffness from the sensitivity of the scalar quantity without the displacement shape, as a result, structure examination requires more time. In this paper, we propose a method to reduce the absolute value of mutual average compliance using eigenvalues and eigenmodes obtained by eigenvalue decomposition of the stiffness matrix. First, the eigenvalues and eigenmodes of the stiffness matrix are explained, and the relationship between the mutual mean compliance is clarified. Using a cantilever beam model as an example, it was confirmed that the designer could efficiently carry out the conventional iterative design change by replacing the design problem of mutual average compliance with the design problem of eigenvalues of the stiffness matrix. |
| format | Article |
| id | doaj-art-17240fe4f7a149c48dbd58e0b655f90c |
| institution | Kabale University |
| issn | 2187-9761 |
| language | Japanese |
| publishDate | 2024-12-01 |
| publisher | The Japan Society of Mechanical Engineers |
| record_format | Article |
| series | Nihon Kikai Gakkai ronbunshu |
| spelling | doaj-art-17240fe4f7a149c48dbd58e0b655f90c2025-01-27T08:34:35ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612024-12-019194124-0016924-0016910.1299/transjsme.24-00169transjsmeThe Investigation of a Method to Improve Static Stiffness of Automobile Body Use Eigenvalue Decomposition of the stiffness matrix.Akira SATOMURA0Kohei FURUYA1Shinichi MARUYAMA2Shinji NISHIWAKI3Nissan Motor Co., Ltd.Department of Mechanical Engineering, Gifu UniversityGraduate School of Engineering, Kyoto UniversityGraduate School of Engineering, Kyoto UniversityAutomobile body design is performed using structural analysis by numerical calculation, but to make it efficient, it is important to establish a technique that can quickly derive the structure satisfying the target value. Although optimization methods are used in many design studies, problems sometimes arise in the actual design stage, and conventional methods in which designers make iterative design changes based on trial and error are still widely used. However, when designing the mutual average compliance defined by the sum of the weights of displacements including displacements other than the external force acting point, it is difficult to derive a design plan because the strain energy, which is a general rigidity index, is not proportional to the mutual average compliance. Furthermore, even if the design sensitivity is calculated, it is difficult for the designer to estimate the type of required stiffness from the sensitivity of the scalar quantity without the displacement shape, as a result, structure examination requires more time. In this paper, we propose a method to reduce the absolute value of mutual average compliance using eigenvalues and eigenmodes obtained by eigenvalue decomposition of the stiffness matrix. First, the eigenvalues and eigenmodes of the stiffness matrix are explained, and the relationship between the mutual mean compliance is clarified. Using a cantilever beam model as an example, it was confirmed that the designer could efficiently carry out the conventional iterative design change by replacing the design problem of mutual average compliance with the design problem of eigenvalues of the stiffness matrix.https://www.jstage.jst.go.jp/article/transjsme/91/941/91_24-00169/_pdf/-char/enfinite element methodmean compliancemutual mean compliancemodal analysiseigenvalueoptimization |
| spellingShingle | Akira SATOMURA Kohei FURUYA Shinichi MARUYAMA Shinji NISHIWAKI The Investigation of a Method to Improve Static Stiffness of Automobile Body Use Eigenvalue Decomposition of the stiffness matrix. Nihon Kikai Gakkai ronbunshu finite element method mean compliance mutual mean compliance modal analysis eigenvalue optimization |
| title | The Investigation of a Method to Improve Static Stiffness of Automobile Body Use Eigenvalue Decomposition of the stiffness matrix. |
| title_full | The Investigation of a Method to Improve Static Stiffness of Automobile Body Use Eigenvalue Decomposition of the stiffness matrix. |
| title_fullStr | The Investigation of a Method to Improve Static Stiffness of Automobile Body Use Eigenvalue Decomposition of the stiffness matrix. |
| title_full_unstemmed | The Investigation of a Method to Improve Static Stiffness of Automobile Body Use Eigenvalue Decomposition of the stiffness matrix. |
| title_short | The Investigation of a Method to Improve Static Stiffness of Automobile Body Use Eigenvalue Decomposition of the stiffness matrix. |
| title_sort | investigation of a method to improve static stiffness of automobile body use eigenvalue decomposition of the stiffness matrix |
| topic | finite element method mean compliance mutual mean compliance modal analysis eigenvalue optimization |
| url | https://www.jstage.jst.go.jp/article/transjsme/91/941/91_24-00169/_pdf/-char/en |
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