| 高维四轮转向汽车侧向动力学系统的稳定性分析 |
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| 引用本文： | 刘春辉,方沂,杜峰.高维四轮转向汽车侧向动力学系统的稳定性分析[J].天津职业技术师范学院学报,2014(1):33-36. |
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| 作者姓名： | 刘春辉 方沂 杜峰 |
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| 作者单位： | 天津职业技术师范大学汽车与交通学院,天津300222 |
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| 基金项目： | 天津市高等学校科技发展基金计划项目（20110405）. |
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| 摘 要： | 引入二次多项式平方轮胎模型,选取合适的状态变量,建立了四轮转向汽车四维非线性动力学系统,应用中心流形定理对其进行了降维处理并转换为中心流形上的一阶约化系统.应用非线性分岔和稳定性理论对均匀路面工况的稳定性进行了分析,并在Matlab/Simulink中进行了仿真.结果表明：随着车速和前轮转角的增加,高维四轮转向汽车奇异点处会发生鞍结分岔,该分岔会导致汽车失稳.
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| 关 键 词： | 四轮转向 中心流形 分岔 稳定性 |
Analysis of stability for high-dimensional four-wheel steering vehicle lateral dynamics |
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| LIU Chun-hui,FANG Yi,DU Feng.Analysis of stability for high-dimensional four-wheel steering vehicle lateral dynamics[J].Journal of Tianjin Vocational Technical Teachers'college,2014(1):33-36. |
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| Authors: | LIU Chun-hui FANG Yi DU Feng |
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| Institution: | (School of Automobile and Transportation,Tianjin University of Technology and Education, Tianjin 300222, China) |
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| Abstract: | A quadratic tyre model is adopted. A 4-D nonlinear four wheel steering vehicle lateral dynamic system is founded by adopting state variables. Then the 4-D nonlinear system is simplified to the center manifold to a one order system with the center manifold theory. The stability characteristics in slippery road conditions are analyzed by the nonlinear bifurcation the- ory and time-domain simulations in matlab/simulink. The results show that, saddle-node bifurcation maybe appears with higher speed and bigger steering angle, which will lead the vehicle out of control ultimately. |
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| Keywords: | four-wheel steering center manifold bifurcation stability |
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