用概率统计法计算齿轮机构的回差

Calculating the Return Stagnant Angle of the Gearing by Use of Probability Statistic

齿轮机构回差的一般计算方法是将各种因素产生的回差简单地作代数运算.由于各种回差不是同时处于最大值和完全相同的相位角[1],因此这种最大值回差计算法的价值是有限的,且不能得到比较经济的设计.本文介绍一种按概率统计计算回差的方法.研究表明:该方法具有一定的现实价值和实用性.

The ordinary calculating method of the return stagnant angles of gearing is that all kinds of the components of the return stagnant angles are simply added together. But because the various sources of errors don抰 achieve at their maximum values and the same revolving angle at the same time, the method of calculating the maximum return stagnant angle is not only un-precise but also uneconomic. In this article, the authors introduce a method of calculating the return stagnant angle by means of mathematic statistic. It has been proved by researches that this calculating method recommended has certain referential value and practicality.