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路面方向扰动下重型汽车的横向稳定性及分岔、混沌运动

李韶华 吴金毅 胡彬

李韶华, 吴金毅, 胡彬. 路面方向扰动下重型汽车的横向稳定性及分岔、混沌运动[J]. 应用数学和力学, 2013, 34(9): 891-899. doi: 10.3879/j.issn.1000-0887.2013.09.002
引用本文: 李韶华, 吴金毅, 胡彬. 路面方向扰动下重型汽车的横向稳定性及分岔、混沌运动[J]. 应用数学和力学, 2013, 34(9): 891-899. doi: 10.3879/j.issn.1000-0887.2013.09.002
LI Shao-hua, WU Jin-yi, HU Bin. Research on Lateral Stability,Bifurcation and Chaotic Motions of Heavy Vehicle With Road Direction Disturbance[J]. Applied Mathematics and Mechanics, 2013, 34(9): 891-899. doi: 10.3879/j.issn.1000-0887.2013.09.002
Citation: LI Shao-hua, WU Jin-yi, HU Bin. Research on Lateral Stability,Bifurcation and Chaotic Motions of Heavy Vehicle With Road Direction Disturbance[J]. Applied Mathematics and Mechanics, 2013, 34(9): 891-899. doi: 10.3879/j.issn.1000-0887.2013.09.002

路面方向扰动下重型汽车的横向稳定性及分岔、混沌运动

doi: 10.3879/j.issn.1000-0887.2013.09.002
基金项目: 国家自然科学基金资助项目(10932006;11072159);河北省自然科学基金资助项目(E2012210025); 河北省自然基金资助项目(A2012210018)
详细信息
    作者简介:

    李韶华(1973—),女,副教授,博士(E-mail:lshsjz@163.com);吴金毅(1987—),女,河北保定人,硕士(通讯作者.E-mail:yiyuexiaomou_00@163.com).

  • 中图分类号: U461.6; O322

Research on Lateral Stability,Bifurcation and Chaotic Motions of Heavy Vehicle With Road Direction Disturbance

Funds: The National Natural Science Foundation of China(10932006;11072159)
  • 摘要: 针对三轴重型汽车建立了二自由度非线性人-车-路闭环模型,考虑驾驶员控制和路面方向扰动,推导了系统动力学方程.在运用Hopf分岔理论进行分析的基础上,以临界车速为评价指标,通过数值模拟研究了轴距、预瞄距离、载重量、驾驶员控制时滞和轮胎侧偏刚度对转向稳定性的影响,并确定了转向系统的数值稳定范围.另外,还通过分岔图、时程曲线、相轨线、功率谱、Poincaré图和Lyapunov指数研究了不同车速下汽车的非线性动力学响应.结果表明,随着车速的增加汽车可能发生周期运动、拟周期运动及混沌运动,汽车的横向稳定性与车辆和驾驶员参数密切相关.
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出版历程
  • 收稿日期:  2013-06-25
  • 修回日期:  2013-07-07
  • 刊出日期:  2013-09-15

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