多源时变激励下两级直齿轮传动系统有限元建模方法研究

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摘要本文以两级齿轮传动系统为研究对象，考虑齿轮、轴承时变刚度以及传动轴的柔性，同时引入二级齿轮相位关系，采用有限元法将连续系统离散为轴―轴、轴―齿轮、轴―轴承、齿轮―齿轮等基础单元，建立两级齿轮传动系统模型；利用Newmark积分方法求解多源时变激励下两级齿轮传动系统的动力学特性。研究表明，当考虑传动轴的柔性时，动载荷幅值有所减小，振动响应频率成分也随之减少；对比实验发现，有效计入传动轴的柔性，以及轴承刚度与齿轮啮合刚度的时变性，仿真与实验测试频率成分分布基本一致。通过连续增速条件下，仿真与实验对比验证了该计算方法的有效性。

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关键词 ：齿轮传动系统, 时变啮合刚度, 传动轴柔性, 动态特性

Abstract：Here, a two-stage spur gear transmission system was taken as the study object to establish its dynamic model considering time-varying mesh stiffness (TVMS) of gear pairs, bearing stiffness, flexibility of transmission shaft and phase relation of two-stage gears.The continuous system was discretized into shaft-shaft elements, shaft-gear ones, shaft-bearing ones and gear-gear ones using the finite element method(FEM) to build its FEM dynamic model.Dynamic characteristics of the system under multi-source time-varying excitations were solved using Newmark integration method.The results showed that when considering flexibility of transmission shaft, dynamic load’s amplitude decreases and vibration response frequency components also decrease; compared with tests, considering flexibility of transmission shaft, time-varying mesh stiffness of gear pairs and bearing stiffness make response frequency component distribution of simulation results basically consistent to those of test results; the effectiveness of the proposed FE modeling method is verified through comparison of simulation and test results under the condition of rotating speed’s continuous growth.

Key words： gear transmission system time-varying mesh stiffness flexible shaft dynamic characteristics

收稿日期: 2018-10-26 出版日期: 2019-07-28

引用本文:

乔自珍1 周建星1,2 章翔峰1 . 多源时变激励下两级直齿轮传动系统有限元建模方法研究[J]. 振动与冲击, 2019, 38(15): 182-189.
QIAO Zizhen1,ZHOU Jianxing1,2,ZHANG Xiangfeng1. Finite element modelling method for a two-stage spur gear transmission system under multi-source time-varying excitations. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(15): 182-189.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I15/182

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