A Data-Based Approach for Modeling and Analysis of Vehicle Collision by LPV-ARMAX Models
Vehicle crash test is considered to be the most direct and common approach to assess the vehicle crashworthiness. However, it suffers from the drawbacks of high experiment cost and huge time consumption. Therefore, the establishment of a mathematical model of vehicle crash which can simplify the ana...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/452391 |
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| author | Qiugang Lu Hamid Reza Karimi Kjell Gunnar Robbersmyr |
| author_facet | Qiugang Lu Hamid Reza Karimi Kjell Gunnar Robbersmyr |
| author_sort | Qiugang Lu |
| collection | DOAJ |
| description | Vehicle crash test is considered to be the most direct and common approach to assess the vehicle crashworthiness. However, it suffers from the drawbacks of high experiment cost and huge time consumption. Therefore, the establishment of a mathematical model of vehicle crash which can simplify the analysis process is significantly attractive. In this paper, we present the application of LPV-ARMAX model to simulate the car-to-pole collision with different initial impact velocities. The parameters of the LPV-ARMAX are assumed to have dependence on the initial impact velocities. Instead of establishing a set of LTI models for vehicle crashes with various impact velocities, the LPV-ARMAX model is comparatively simple and applicable to predict the responses of new collision situations different from the ones used for identification. Finally, the comparison between the predicted response and the real test data is conducted, which shows the high fidelity of the LPV-ARMAX model. |
| format | Article |
| id | doaj-art-5571252b4d394023a387ae700db1d92e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5571252b4d394023a387ae700db1d92e2025-02-03T05:47:48ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/452391452391A Data-Based Approach for Modeling and Analysis of Vehicle Collision by LPV-ARMAX ModelsQiugang Lu0Hamid Reza Karimi1Kjell Gunnar Robbersmyr2Department of Engineering, Faculty of Engineering and Science, University of Agder, P.O. Box 509, 4898 Grimstad, NorwayDepartment of Engineering, Faculty of Engineering and Science, University of Agder, P.O. Box 509, 4898 Grimstad, NorwayDepartment of Engineering, Faculty of Engineering and Science, University of Agder, P.O. Box 509, 4898 Grimstad, NorwayVehicle crash test is considered to be the most direct and common approach to assess the vehicle crashworthiness. However, it suffers from the drawbacks of high experiment cost and huge time consumption. Therefore, the establishment of a mathematical model of vehicle crash which can simplify the analysis process is significantly attractive. In this paper, we present the application of LPV-ARMAX model to simulate the car-to-pole collision with different initial impact velocities. The parameters of the LPV-ARMAX are assumed to have dependence on the initial impact velocities. Instead of establishing a set of LTI models for vehicle crashes with various impact velocities, the LPV-ARMAX model is comparatively simple and applicable to predict the responses of new collision situations different from the ones used for identification. Finally, the comparison between the predicted response and the real test data is conducted, which shows the high fidelity of the LPV-ARMAX model.http://dx.doi.org/10.1155/2013/452391 |
| spellingShingle | Qiugang Lu Hamid Reza Karimi Kjell Gunnar Robbersmyr A Data-Based Approach for Modeling and Analysis of Vehicle Collision by LPV-ARMAX Models Journal of Applied Mathematics |
| title | A Data-Based Approach for Modeling and Analysis of Vehicle Collision by LPV-ARMAX Models |
| title_full | A Data-Based Approach for Modeling and Analysis of Vehicle Collision by LPV-ARMAX Models |
| title_fullStr | A Data-Based Approach for Modeling and Analysis of Vehicle Collision by LPV-ARMAX Models |
| title_full_unstemmed | A Data-Based Approach for Modeling and Analysis of Vehicle Collision by LPV-ARMAX Models |
| title_short | A Data-Based Approach for Modeling and Analysis of Vehicle Collision by LPV-ARMAX Models |
| title_sort | data based approach for modeling and analysis of vehicle collision by lpv armax models |
| url | http://dx.doi.org/10.1155/2013/452391 |
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