面齿轮传动啮合刚度分析与修形减振优化

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摘要为准确求解面齿轮传动的啮合刚度，基于齿轮的承载接触分析(LTCA)技术，综合考虑变位、小轮偏置、齿面修形以及安装误差，提出了面齿轮传动啮合刚度计算方法，并验证了本文方法的精确性。分析了负载、变位、小轮偏置和安装误差对面齿轮传动综合啮合刚度均值和波动幅值的影响，并将LTCA技术与遗传算法相结合，建立了面齿轮传动修形减振优化模型。研究结果表明：面齿轮传动综合啮合刚度幅值波动较大，存在阶跃突变现象，但波动幅值对负载、变位、小轮偏置和安装误差并不敏感，而综合啮合刚度均值受负载、小轮偏置和安装误差影响较大，且在3类安装误差中，轴夹角误差对综合啮合刚度均值影响最大；优化小轮修形参数后使综合啮合刚度的波动幅值大幅下降，从而可有效减小面齿轮传动的振动和噪声。

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	付学中1
	方宗德1
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关键词 ：面齿轮传动, 啮合刚度, 修形, 减振, 优化, 遗传算法

Abstract：To accurately calculate meshing stiffness of face-gear drives, comprehensively considering effects of profile-shift, pinion offset, tooth surface modification and misalignment, a method for calculating meshing stiffness of face-gear drives was proposed based on the loaded tooth contact analysis (LTCA) technique of gears. The accuracy of the proposed method was verified. The effects of load, profile-shift, pinion offset and misalignment on the mean value and amplitude fluctuation of comprehensive meshing stiffness of face-gear drives were analyzed. Combining the LTCA technique with the genetic algorithm, an optimization model of vibration reduction and modification for face-gear drives was established. The results showed that the amplitude fluctuation of the comprehensive meshing stiffness of face-gear drives is larger, and there is a step abrupt change phenomenon; the amplitude fluctuation is not sensitive to load, pinion offset and misalignment, but these 3 factors significantly affect the mean value of the comprehensive meshing stiffness; in 3 types of misalignment, shaft angle error has the largest effect on the mean value of the comprehensive meshing stiffness; after optimizing pinion modification parameters, the amplitude fluctuation of the comprehensive meshing stiffness decreases by 91% to effectively reduce vibration and noise of face-gear drives.

Key words： face gear drive meshing stiffness modification vibration reduction optimization genetic algorithm

收稿日期: 2017-10-13 出版日期: 2019-02-28

引用本文:

付学中1，方宗德1，贾超1，彭先龙2. 面齿轮传动啮合刚度分析与修形减振优化[J]. 振动与冲击, 2019, 38(5): 265-272.
FU Xuezhong1, FANG Zongde1, JIA Chao1, PENG Xianlong2. Meshing stiffness analysis and optimization of vibration reduction and modification for face-gear drives. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(5): 265-272.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I5/265

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