齿廓偏差影响下的RV减速器摆线针轮啮合间隙计算

摆线针轮啮合间隙对RV减速器的啮合传动性能及运动精度影响很大,因此,啮合间隙的准确计算是摆线针轮接触特性研究中很重要的内容。目前,国内对啮合间隙的计算大多是以理论设计齿廓为基础,未考虑摆线轮在修形设计加工过程中的齿廓偏差,所以,计算得到的理论啮合间隙与实际啮合间隙不一致。为此,综合考虑齿廓偏差的影响,提出一种摆线针轮啮合间隙的新计算方法,从工程和数学的角度获得了轮齿啮合的真实间隙。通过将摆线轮的齿廓偏差在理论齿廓上进行有效叠加,基于非均匀有理B样条重构得到高度逼近实际加工齿面的数字化齿面;根据建立的摆线针轮传动接触分析模型,运用微分几何原理计算针齿中心至摆线轮齿廓的最小距离,得到齿廓偏差影响下的准确啮合间隙值,为RV减速器摆线针轮副的传动性能研究及齿廓修形设计提供了新的思路。

Calculation of Meshing Backlash for Cycloidal-pin Gear of RV Reducer Under the Influence of Tooth Profile Deviation

The meshing backlash of cycloidal-pin gear has a great influence on the meshing transmission performance and motion accuracy of RV reducer,so the accurate calculation of meshing backlash is an important content in the study of contact characteristics of cycloidal-pin gear.At present,the calculation of meshing backlash in China is mostly based on theoretical design of tooth profile,without considering the tooth profile deviation of cycloidal gear in the process of modification design and processing,so the calculated theoretical meshing backlash is inconsistent with the actual meshing backlash.For this,a new method for calculating the meshing backlash of cycloidal-pin gear is proposed,considering the influence of tooth profile deviation.The real meshing backlash of cycloidal-pin gear is obtained from the point of view of engineering and mathematics.By effectively superimposing the tooth profile errors of cycloidal gear on the theoretical tooth profile,the digitized tooth surface with high approximation to the actual machined tooth surface is reconstructed based on non-uniform rational NURBS.According to the established contact analysis model of cycloidal-pin gear transmission, the minimum distance between the center of the pin tooth and the tooth profile of cycloidal gear is calculated by differential geometry principle.The accurate meshing backlash under the influence of tooth profile error is obtained,which provides a new idea for the transmission performance research and tooth profile modification design of cycloidal-pin gear pair of RV reducer.