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| Analysis on Hopf bifurcation of the four-wheel steering automobile based on center manifold theory |
| Song Zuo jun |
| Department of Automotive Engineering, Zibo Vocational Institute, Zibo City Shandong Province, 2553141 |
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Abstract The dynamic model of two degrees of freedom is established for an automobile with four-wheel steering (4ws) by analysis mechanics. The Hopf bifurcation of 4WS system was calculated and the bifurcation point was obtained with Hurwitz algebraic criterion. The high-dimensional 4WS system was transferred to a two-dimensional system in the light of center manifold theory, and the bifurcation stability coefficient of the two-dimensional system was calculated to determine the Hopf bifurcation type of original system. The system was simulated using Matlab software. The result shows that automatic swing of steering occurs for an automobile of 4WS under specific parameters, and it has important reference value for the research on control of vibration.
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Received: 29 April 2015
Published: 25 June 2016
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