多因素综合作用的摆线针轮传动误差分析

摆线齿轮的齿廓修形以及制造误差是影响摆线针轮传动精度的关键因素，为了分析多因素综合作用下摆线针轮传动的误差，基于齿轮啮合原理和坐标变换，通过构建考虑齿廓修形、加工误差和装配误差等综合因素的摆线齿轮齿廓方程，得到多因素综合作用下的摆线针轮啮合副误差分析模型。该模型可实现齿廓修形、加工和装配误差等因素综合作用下摆线针轮传动误差的分析计算，分析各误差因素以及多因素作用对传动误差产生的影响。结果表明：摆线轮齿距累积误差对传动误差的影响最大；摆线轮廓度误差和装配误差的影响次之；针齿半径误差和针齿位置半径误差的影响最小。

Transmission error analysis of cycloidal pinwheel based on multi-factor comprehensive effect

Tooth profile modification and manufacturing error of cycloidal gear are the key factors that affect the transmission accuracy of cycloidal pinwheel. In order to analyze the transmission error of the cycloid gear under the multi-factor comprehensive effect, based on the theory of gearing and coordinate transformation, an error analysis model of the cycloidal pinwheel meshing pair under the comprehensive effect of multiple factors was obtained by constructing the tooth profile equation of the cycloid gear with the comprehensive factors such as tooth profile modification, machining error and assembly error taken into consideration. The model can be used to analyze and calculate the combined transmission errors of the cycloid pin gear under the comprehensive effects of tooth profile modification, machining and assembly errors. The influences of various error factors and multiple factors on the transmission error were analyzed. The results show that the cumulative pitch error has the greatest influence on the transmission error, followed by cycloidal profile error and assembly error; the pin radius error and the pin position radius error have the least influence on the transmission error.