齿面修形对人字齿轮啮合刚度影响分析与试验研究

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摘要为了准确地计算考虑轴向窜动的人字齿轮时变啮合刚度，建立考虑轴向窜动的人字齿轮轮齿承载接触分析模型，在此基础上推导考虑安装误差的人字齿轮轮齿综合啮合刚度，分析不同载荷下的啮合刚度变化特性；采用遗传算法对人字齿轮齿面展开以轮齿啮合刚度波动幅值为目标的齿面三维修形优化设计。以某单级人字齿轮副为对象的实例计算表明，考虑轴向窜动的人字齿轮副啮合刚度随着外载的增加而增加，且增长幅度随着载荷增加而减缓，最后刚度均值及其波形幅值均趋于稳态。搭建人字齿轮封闭功率流式试验台，给出利用高精度圆光栅对人字齿轮啮合刚度的测量方法，结果表明，理论计算与试验测量的人字齿轮啮合刚度随啮合周期变化波形基本保持一致，在给定负载下，最大偏差小于8.8%，且修形前后啮合刚度波动幅值变化趋势亦保持一致。

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	王峰1
	方宗德2
	徐兴1
	陈龙1
	孙晓强1

关键词 ：人字齿轮, 轴向窜动, 承载接触分析, 啮合刚度, 试验测量

Abstract：In order to accurately calculating the time varying meshing stiffness of a herringbone gear pair, a herringbone gear teeth contact model was established considering the axial floating of driving gear. On this basis, the meshing stiffness considering installation errors was deduced, and the variation characteristics of meshing stiffness under different loads were analyzed. A three dimensional tooth profile optimization design considering the fluctuating magnitude of meshing stiffness as a target was carried out by using a genetic algorithm. Taking a ship herringbone gear transmission system as an example, the results consistently indicate that the herringbone gear meshing stiffness experiences a process of first increasing and then gradually tending to constant with the increase of external load. A herringbone gear transmission experiment testing system with closed power flow was set up to verify the theoretical analysis, and the meshing stiffness was measured through high precision Heidenhain angle encoders. The results of numerical simulations and the experimental data are in good agreement, the maximum deviation is 8.8%, and the amplitude variation trend of the meshing stiffnesses before and after teeth modification is also consistent.

Key words： herringbone gear axial float loaded tooth contact analysis meshing stiffness experimental test

收稿日期: 2016-12-28 出版日期: 2017-12-28

引用本文:

王峰1，方宗德2，徐兴1，陈龙1，孙晓强1. 齿面修形对人字齿轮啮合刚度影响分析与试验研究[J]. 振动与冲击, 2018, 37(1): 40-46.
WANG Feng1, FANG Zong-de2, XU Xing1, CHEN long1, SUN Xiaoqiang1. Theoretical and experimental investigation on the effect of teeth modification on the meshing stiffness of herringbone gear systems. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(1): 40-46.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2018/V37/I1/40

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