内齿圈裂纹扩展对复合两级行星轮系均载特性的影响研究

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (12) : 275-282.

论文

李国彦1,2，沈奇1，牛蔺楷1，马亮1，董德浩3

作者信息 +

Influence of a ring gear with crack propagation on load sharing behaviors of compound planetary gear set

LI Guoyan1,2, SHEN Qi1, NIU Linkai1, MA Liang1, DONG Dehao3

Author information +

文章历史 +

摘要

行星轮系的均载特性对齿轮箱的运行性能及服役寿命有重要的影响。为揭示裂纹扩展对系统均载特性的影响，构建了计入齿根裂纹损伤的复合行星轮系动力学模型，考虑了时变啮合刚度、时变支撑刚度、啮合相位、阻尼、裂纹等非线性因素。建立裂纹齿圈时变啮合刚度模型，研究不同裂纹程度与时变啮合刚度之间的量化关系，将损伤以内部激励的形式引入到动力学模型中；推导滚动体与滚道之间的非线性弹性接触力，得到各构件的时变支撑刚度；进一步，获取不同裂纹扩展程度下各啮合副啮合振动信号，综合采用时间历程、频谱、相轨迹及Poincaré映射图分析裂纹扩展对系统非线性振动特性的影响；计算各啮合副均载系数，分析裂纹扩展对系统均载特性的影响规律。

Abstract

The load sharing analysis of planetary transmissions has significant influence on the operation and reliability of a gear system.In order to reveal the impact of crack propagation on the load sharing behaviors, this paper established a nonlinear dynamic model of compound planetary gear set with crack.This model considers the variable meshing stiffness, variable bearing stiffness, mesh phases, damping, and crack.At first, a mathematical meshing stiffness model of cracked ring gear was established.The meshing stiffness with respect to different crack levels was calculated, so the crack defect was involved to the developed dynamic model as an internal excitation.Next, the nonlinear contact force-deformation relationship between the rolling elements and raceway was derived, so the variable bearing stiffness can also be incorporated into this dynamic model.Further, the fault signals along the line of action of each mesh pair with respect to different crack levels were simulated.The time waves, FFT spectrum, phase diagram and poincaré section were used to analyze the impact of crack propagation on the dynamic characteristics of the gear system.At last, the load sharing ratio was calculated, and the uneven load sharing behaviors with crack propagation were also studied.

导出引用

李国彦1,2，沈奇1，牛蔺楷1，马亮1，董德浩3. 内齿圈裂纹扩展对复合两级行星轮系均载特性的影响研究[J]. 振动与冲击, 2021, 40(12): 275-282

LI Guoyan1,2, SHEN Qi1, NIU Linkai1, MA Liang1, DONG Dehao3. Influence of a ring gear with crack propagation on load sharing behaviors of compound planetary gear set[J]. Journal of Vibration and Shock, 2021, 40(12): 275-282

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