偏置面齿轮安装误差容差性与敏感性

Assembly errors tolerance and sensitivity of offset face gears

为确定偏置面齿轮安装误差工艺参数,本文建立了含安装误差偏置面齿轮副的通用啮合坐标系和齿面接触分析算法。基于TCA获取的齿面接触印痕,提出了采用安装误差公差表征容差性、采用参考接触点位置和接触迹线方向角偏移量表征敏感性的分析方法。应用Matlab软件进行了程序化并仿真,分析表明:轴夹角误差最敏感,容差性最差,而偏置误差最不敏感,容差性最好,实际安装调整时要严格控制轴夹角误差;右齿面的容差性比左齿面好,且偏置距越大,右齿面容差性越好,左齿面容差性越差;安装误差使齿面参考接触点位置主要在齿宽方向移动,而在齿高方向变化不大,且左、右齿面的参考接触点位置偏移量变化规律相同,但左、右齿面的接触迹线方向角偏移方向相反。

To determine the technological parameters of assembly errors of offset face gear pairs,the coordinate systems and computational models for tooth contact analysis（TCA） of the offset face gear with assembly errors are investigated in this paper. Based on the contact patch of TCA,an analysis method for calculating the assembly error tolerance and sensitivity was proposed and programmed by Matlab. In this method,assembly errors tolerance was characterized by the tolerance limit value,and assembly error sensitivity was characterized by the offset of the contact point position and the direction angle of the contact line. The results show that the shaft angle error is the most sensitive with the worst tolerance,and the offset error is the least sensitive with the best tolerance. Therefore,the shaft angle error must be strictly controlled in actual assembly. The tolerance for the right tooth surface is better than that for left tooth surfaces. As the offset value increases,the tolerance level increases for the right tooth surface and decreases for the left tooth surface. The movement of the contact point position because of assembly errors on tooth surfaces mainly occurs along the tooth width,and not in the tooth depth,while the rules of changing the offset of the contact point position on tooth surfaces are the same,but the direction angles of the contact line change in the opposite direction.