齿轮轮齿接触分析的分解算法

发布时间：2018-06-16 00:06

本文选题：轮齿接触分析 + 边缘接触分析　；参考：《航空动力学报》2017年09期

【摘要】：提出了齿轮轮齿接触分析算法——分解算法。传统的轮齿接触分析方法求啮合点时需要求解含5个非线性方程的方程组,求解性差;齿面接触和边缘接触的数学模型不同,需要分别进行求解,求解过程复杂。轮齿接触分析算法——分解算法,提出了瞬时共轭啮合线的概念,可有效分离传动误差,得到啮合点、瞬时接触线,求啮合点时非线性方程的个数由5个减少为2个。分解算法建立的数学模型也适用于边缘接触分析,算法简单、有效、适应性强。以一对弧齿锥齿轮为例,对比分析了传统方法和分解算法,结果表明:齿面部分的印痕是一致的,传动误差幅值相差0.3″;边缘接触部分的印痕存在少许差异。
[Abstract]:The analysis algorithm of gear tooth contact analysis is put forward. When the traditional tooth contact analysis method is used to solve the meshing point, it is necessary to solve the equation group containing 5 nonlinear equations, and the solution is poor. The mathematical model of the tooth contact and the edge contact is different, and the solution process is complicated. The tooth contact analysis algorithm is decomposed. The concept of instantaneous conjugate meshing line is proposed, which can effectively separate the transmission error. The number of nonlinear equations is reduced from 5 to 2 when the mesh point, the instantaneous contact line and the meshing point are obtained. The mathematical model established by the decomposition algorithm is also applicable to the edge contact analysis. The algorithm is simple, effective and adaptable. A pair of arc tooth bevel gears is used as an example and comparison. The traditional method and decomposition algorithm are analyzed. The results show that the indation of the tooth surface is the same, the difference of the transmission error amplitude is 0.3 ", and the mark of the edge contact part is a little difference.
【作者单位】：河南科技大学机电工程学院;重庆理工大学汽车零部件先进制造技术教育部重点实验室;
【基金】：国家自然科学基金(51675161,51475141) 汽车零部件先进制造技术教育部重点实验室开放课题(2016KLMT04) 河南省科技计划项目(172102210251)
【分类号】：TH132.41

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