齿面摩擦对齿轮传动系统分岔与混沌特性的影响分析

发布时间：2018-05-11 15:20

本文选题：齿面摩擦 + 齿轮传动系统　；参考：《机械设计与研究》2016年06期

【摘要】：为研究齿面摩擦对直齿圆柱齿轮传动系统振动特性的影响,建立了包含齿面摩擦在内的六自由度齿轮啮合耦合型动力学模型。模型采用能量法计算齿轮啮合的时变啮合刚度,同时考虑了啮合误差、间隙非线性以及负载扭矩等因素。通过四阶变步长Runge-Kutta积分法对模型进行数值分析,得到齿轮系统随齿面摩擦系数变化下的时间历程图、相位图、Poincare截面图、分岔图等,定性分析了齿轮系统对齿面摩擦变化下的动力学周期、拟周期、分叉和混沌的运动演化历程,并通过实验进行了验证。结果表明,随着齿面摩擦系数的增大,齿轮系统动态特性响应逐渐复杂。
[Abstract]:In order to study the influence of tooth surface friction on the vibration characteristics of spur gear transmission system, a six degree of freedom gear meshing coupling dynamic model including tooth surface friction was established. In the model, the time-varying meshing stiffness of gear meshing is calculated by energy method, and the factors such as meshing error, gap nonlinearity and load torque are considered. Through the numerical analysis of the model by the fourth order variable step size Runge-Kutta integration method, the time history diagram, the phase diagram and the bifurcation diagram of the gear system with the change of the tooth surface friction coefficient are obtained. The dynamic period, quasi period, bifurcation and chaos evolution of gear system under the change of tooth surface friction are qualitatively analyzed and verified by experiments. The results show that the dynamic response of gear system becomes more and more complicated with the increase of the friction coefficient of gear surface.
【作者单位】：北京建筑大学机电与车辆工程学院;北京建筑大学城市轨道交通车辆服役性能保障北京市重点实验室;太原科技大学机械工程学院;
【基金】：长城学者培养计划(CIT&TCD20150312) 国家自然科学基金(51175028)资助项目
【分类号】：TH132.41

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