车辆系统的非线性行驶动力学响应
作者:
作者单位:

1.河南科技大学 土木工程学院,洛阳 471023;2.南京航空航天大学 航天学院,南京 210016

作者简介:

E-mail: yanweihan@haust.edu.cnE-mail: yanweihan@haust.edu.cn


RESEARCH ON DRIVING NONLINEAR DYNAMICS FOR A VEHICLE SYSTEM
Author:
Affiliation:

1.Schoo of Civil Engineering, Henan University of Science and Technology, Luoyang 471023, China;2.College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

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    摘要:

    深入研究车辆在粗糙路面行驶而激励引起的非线性振动响应,对揭示复杂动态响应机理和提升动力学性能具有重要的理论意义与工程价值。首先,本文利用运动非线性机制,建立质心上下平移和绕质心俯仰的两自由度车辆系统的力学模型,利用拉格朗日方程导出系统的非线性运动微分方程,分析自由振动系统的非线性恢复力、势能曲线特性及平衡点稳定性。其次,针对自由振动系统,分析线性近似系统的频率比随参数的变换规律,又利用谐波平衡法分析非线性近似系统的幅频曲线特性。最后,针对强迫振动系统,利用数值方法得到系统的阻尼、路面波长及波幅对幅速响应曲线的影响规律。结果表明,新型车辆模型具有复杂非线性动力学特性,为行驶车辆系统的提供参数设计和揭示振动机理提供理论参考。

    Abstract:

    The research of the nonlinear dynamic vibration of moving vehicle system, bing excited by the incentives of the road roughness, which can be reveal the complex mechanism of and improve the dynamic performance is of important theoretical significance and engineering value. First of all, based on the nonlinear motion characteristics, two degrees of freedom nonlinear vibration system with the translational motion of the up and down and pitch angle around the center of mass and the nonlinear differential equation of the vehicle dynamics mode established derived by using though Lagrange equation. The nonlinear restoring force, and the potential energy curve characteristics and stability of equilibrium point are analyzed. Secondly, for the free vibration, the amplitude ratio of the linear approximation system and the amplitude frequency curve characteristics of the nonlinear approximate system are analyzed. Finally, for forced vibration, a numerical method is used to obtain the complex nonlinear response of amplitude velocityaffect by damping, amplitude and wavelenth of road. The results show that the vehicle dynamics model has complex nonlinear dynamic characteristics, which provides a theoretical reference for providing parameter design and revealing the complex vibration mechanism of vehicle system.

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引用本文

韩彦伟,张子建.车辆系统的非线性行驶动力学响应[J].动力学与控制学报,2021,19(1):53~60; Han Yanwei, Zhang Zijian. RESEARCH ON DRIVING NONLINEAR DYNAMICS FOR A VEHICLE SYSTEM[J]. Journal of Dynamics and Control,2021,19(1):53-60.

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  • 收稿日期:2019-07-17
  • 最后修改日期:2020-02-28
  • 录用日期:2020-03-01
  • 在线发布日期: 2021-03-08
  • 出版日期: 2021-02-20
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