The stability analysis using Lyapunov exponents for high-DOF nonlinear vehicle plane motion
The Lyapunov exponents method is an excellent approach for analyzing the vehicle plane motion stability, and the researchers demonstrated the effectiveness under 2-DOF vehicle model. However, whether the Lyapunov exponents approach can effectively reveal the characteristics of high-DOF nonlinear veh...
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| Veröffentlicht in: | Proceedings of the Institution of Mechanical Engineers. Part D, Journal of automobile engineering Journal of automobile engineering, 2022-06, Vol.236 (7), p.1390-1400 |
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| container_title | Proceedings of the Institution of Mechanical Engineers. Part D, Journal of automobile engineering |
| container_volume | 236 |
| creator | Shi, Shuming Meng, Fanyu Bai, Minghui Lin, Nan |
| description | The Lyapunov exponents method is an excellent approach for analyzing the vehicle plane motion stability, and the researchers demonstrated the effectiveness under 2-DOF vehicle model. However, whether the Lyapunov exponents approach can effectively reveal the characteristics of high-DOF nonlinear vehicle model is the key problem at present. In this paper, the Lyapunov exponents is applied to quantitatively analyze the stability of the nonlinear three and five degree of freedom vehicle plane motion system. The different characteristics between 2-DOF and high-DOF model are revealed and explained by using Lyapunov exponents. It illustrates the feasibility of using Lyapunov exponents to analyze the stability of high-DOF vehicle models, which supplements and perfects the existing quantitative analysis conclusion. |
| doi_str_mv | 10.1177/09544070211043358 |
| format | Article |
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However, whether the Lyapunov exponents approach can effectively reveal the characteristics of high-DOF nonlinear vehicle model is the key problem at present. In this paper, the Lyapunov exponents is applied to quantitatively analyze the stability of the nonlinear three and five degree of freedom vehicle plane motion system. The different characteristics between 2-DOF and high-DOF model are revealed and explained by using Lyapunov exponents. 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It illustrates the feasibility of using Lyapunov exponents to analyze the stability of high-DOF vehicle models, which supplements and perfects the existing quantitative analysis conclusion.</description><subject>Chaos theory</subject><subject>Degrees of freedom</subject><subject>Liapunov exponents</subject><subject>Motion stability</subject><subject>Motion systems</subject><subject>Stability analysis</subject><issn>0954-4070</issn><issn>2041-2991</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kLFOwzAQhi0EEqXwAGyWmFNsx3aaERVakCp1KRND5DjnxlVqBzupyNuTqkgMiFtuuO_7pfsRuqdkRmmWPZJccE4ywiglPE3F_AJNGOE0YXlOL9HkdE9OwDW6iXFPxsm4mKCPbQ04dqq0je0GrJxqhmgj7qN1O7weVNs7f8Tw1XoHrovY-IBru6uT580SO-8a60AFfITa6gZw2ygH-OA7690tujKqiXD3s6foffmyXbwm683qbfG0TnRKWZcYqmVaEQNCEk0gM0LpyqgqIyCNMEJWOadUM1PNy7mWUPJKZjxlvKSkAkHTKXo457bBf_YQu2Lv-zB-EgsmBSOECSlGip4pHXyMAUzRBntQYSgoKU4dFn86HJ3Z2YlqB7-p_wvfZ9lyJQ</recordid><startdate>202206</startdate><enddate>202206</enddate><creator>Shi, Shuming</creator><creator>Meng, Fanyu</creator><creator>Bai, Minghui</creator><creator>Lin, Nan</creator><general>SAGE Publications</general><general>SAGE PUBLICATIONS, INC</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><orcidid>https://orcid.org/0000-0002-5509-3852</orcidid><orcidid>https://orcid.org/0000-0002-8331-6988</orcidid></search><sort><creationdate>202206</creationdate><title>The stability analysis using Lyapunov exponents for high-DOF nonlinear vehicle plane motion</title><author>Shi, Shuming ; Meng, Fanyu ; Bai, Minghui ; Lin, Nan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c312t-f1c63d0fe560c0e7f5acdfad70e6f5f56d9411c2fd8b8c6eb4d674324b10de513</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Chaos theory</topic><topic>Degrees of freedom</topic><topic>Liapunov exponents</topic><topic>Motion stability</topic><topic>Motion systems</topic><topic>Stability analysis</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Shi, Shuming</creatorcontrib><creatorcontrib>Meng, Fanyu</creatorcontrib><creatorcontrib>Bai, Minghui</creatorcontrib><creatorcontrib>Lin, Nan</creatorcontrib><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><jtitle>Proceedings of the Institution of Mechanical Engineers. 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| language | eng |
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| subjects | Chaos theory Degrees of freedom Liapunov exponents Motion stability Motion systems Stability analysis |
| title | The stability analysis using Lyapunov exponents for high-DOF nonlinear vehicle plane motion |
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