基于齿面摩擦的人字齿轮副动力学特性分析

陆凤霞,王浩飞,朱如鹏,鲍和云,姜慧卉

振动与冲击 ›› 2016, Vol. 35 ›› Issue (9) : 204-212.

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振动与冲击 ›› 2016, Vol. 35 ›› Issue (9) : 204-212.
论文

基于齿面摩擦的人字齿轮副动力学特性分析

  • 陆凤霞,王浩飞,朱如鹏,鲍和云,姜慧卉
作者信息 +

Dynamic characteristics analysis of double helical gears considering tooth friction

  • LU Feng-xia, WANG Hao-fei, ZHU Ru-peng, BAO He-yun, JIANG Hui-hui
Author information +
文章历史 +

摘要

建立了考虑齿面摩擦、时变啮合刚度、齿侧间隙和综合传递误差的16自由度人字齿轮副三维空间弯曲-扭转-轴向耦合的非线性动力学模型,应用牛顿第二运动定律,建立系统的振动微分方程。根据人字齿轮副的啮合特性,通过数值积分方法分析了轮齿的啮合力,时变摩擦力和摩擦力矩,并采用基于弹流润滑理论(EHL)的摩擦因数计算模型计算了齿面摩擦因数。为了分析齿面摩擦对人字齿轮副周期振动及分岔特性的影响规律,比较了有无考虑齿面摩擦时系统的周期振动时域响应、振动位移分岔图及最大lyapunov指数变化图。结果表明,齿面摩擦导致齿轮副垂直于啮合平面方向的振动位移加剧,且减弱了齿轮副沿啮合线方向的振动。同时,齿面摩擦的存在使得系统提前进入混沌,且抑制了系统的混沌运动。文章的研究成果有助于进一步认识齿面摩擦对人字齿轮传动周期振动及非线性振动特性的影响,为人字齿轮传动设计提供技术依据。

Abstract

A three-dimensional nonlinear dynamics model of the double helical gears with sixteen degree gears was established. The model takes the sliding friction, time-varying stiffness, gear backlashes as well as gear mesh errors into account. The dynamics equations of the system were established by Newton Second Law. The tooth meshing force and the tooth friction as well as the friction torque were calculated through numerical integration based on the meshing characteristics of the double helical gears. The friction coefficient was calculated by the model based on EHL. The effects of tooth friction on the dynamics behaviors of the system were studied. The results show that the sliding friction can increase the vibration in the perpendicular direction to the line of action but suppress the vibration in the line of action. The bifurcation of the system becomes blurred at the high meshing frequency and chaotic motion appears earlier as well as infirmly due to effect of tooth friction. The research will contribute to the further understanding of the effect of tooth friction on periodic vibration and nonlinear vibration of the double helical gear pairs, which will also provide a technical basis for the design of the double helical gear transmission.

 

关键词

齿面摩擦 / 人字齿轮 / 混沌 / 分岔

Key words

sliding friction / double helical gear / chaos / bifurcation

引用本文

导出引用
陆凤霞,王浩飞,朱如鹏,鲍和云,姜慧卉. 基于齿面摩擦的人字齿轮副动力学特性分析[J]. 振动与冲击, 2016, 35(9): 204-212
LU Feng-xia, WANG Hao-fei, ZHU Ru-peng, BAO He-yun, JIANG Hui-hui. Dynamic characteristics analysis of double helical gears considering tooth friction[J]. Journal of Vibration and Shock, 2016, 35(9): 204-212

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