Model Reduction Technique Tailored to the Dynamic Analysis of a Beam Structure under a Moving Load
This study presents a technique that uses a model reduction method for the dynamic response analysis of a beam structure to a moving load, which can be modeled either as a moving point force or as a moving body. The nature of the dedicated condensation method tailored to address the moving load case...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/406093 |
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| _version_ | 1832563396324622336 |
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| author | Yuanchang Chen Bangji Zhang Shengzhao Chen |
| author_facet | Yuanchang Chen Bangji Zhang Shengzhao Chen |
| author_sort | Yuanchang Chen |
| collection | DOAJ |
| description | This study presents a technique that uses a model reduction method for the dynamic response analysis of a beam structure to a moving load, which can be modeled either as a moving point force or as a moving body. The nature of the dedicated condensation method tailored to address the moving load case is that the master degrees of freedom are reselected, and the coefficient matrices of the condensed model are recalculated as the load travels from one element to another. Although this process increases computational burden, the overall computational time is still greatly reduced because of the small scale of motion equations. To illustrate and validate the methodology, the technique is initially applied to a simply supported beam subjected to a single-point load moving along the beam. Subsequently, the technique is applied to a practical model for wheel-rail interaction dynamic analysis in railway engineering. Numerical examples show that the condensation model can solve the moving load problem faster than an analytical model or its full finite element model. The proposed model also exhibits high computational accuracy. |
| format | Article |
| id | doaj-art-f9be58006d724eefa2e1206f91487703 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-f9be58006d724eefa2e1206f914877032025-02-03T01:20:24ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/406093406093Model Reduction Technique Tailored to the Dynamic Analysis of a Beam Structure under a Moving LoadYuanchang Chen0Bangji Zhang1Shengzhao Chen2The State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan 410082, ChinaThe State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan 410082, ChinaThe State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan 410082, ChinaThis study presents a technique that uses a model reduction method for the dynamic response analysis of a beam structure to a moving load, which can be modeled either as a moving point force or as a moving body. The nature of the dedicated condensation method tailored to address the moving load case is that the master degrees of freedom are reselected, and the coefficient matrices of the condensed model are recalculated as the load travels from one element to another. Although this process increases computational burden, the overall computational time is still greatly reduced because of the small scale of motion equations. To illustrate and validate the methodology, the technique is initially applied to a simply supported beam subjected to a single-point load moving along the beam. Subsequently, the technique is applied to a practical model for wheel-rail interaction dynamic analysis in railway engineering. Numerical examples show that the condensation model can solve the moving load problem faster than an analytical model or its full finite element model. The proposed model also exhibits high computational accuracy.http://dx.doi.org/10.1155/2014/406093 |
| spellingShingle | Yuanchang Chen Bangji Zhang Shengzhao Chen Model Reduction Technique Tailored to the Dynamic Analysis of a Beam Structure under a Moving Load Shock and Vibration |
| title | Model Reduction Technique Tailored to the Dynamic Analysis of a Beam Structure under a Moving Load |
| title_full | Model Reduction Technique Tailored to the Dynamic Analysis of a Beam Structure under a Moving Load |
| title_fullStr | Model Reduction Technique Tailored to the Dynamic Analysis of a Beam Structure under a Moving Load |
| title_full_unstemmed | Model Reduction Technique Tailored to the Dynamic Analysis of a Beam Structure under a Moving Load |
| title_short | Model Reduction Technique Tailored to the Dynamic Analysis of a Beam Structure under a Moving Load |
| title_sort | model reduction technique tailored to the dynamic analysis of a beam structure under a moving load |
| url | http://dx.doi.org/10.1155/2014/406093 |
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