弧齿锥齿轮误差敏感性优化设计

从齿面结构上提出了通过优化差曲面全曲率来改善弧齿锥齿轮的安装误差敏感性问题的方法.推导了啮合点处沿齿线方向的两啮合齿面全曲率作为敏感性系数,分析了局部综合参数和参考点位置参数对参考点处的敏感系数的影响.提出了通过优化传动比一阶导数、接触迹线方向、二阶变性系数和三阶变性系数,获得对安装误差敏感性低的小轮加工参数.算例表明:优化后的齿轮副在啮合过程中的敏感性系数控制在较小范围之内,传动误差的幅值和对称性均满足设计要求,改善了齿轮副的啮合质量. 

Optimization design of the error sensitivity for spiral bevel gears

In order to improve the sensitivity of spiral bevel gears caused by assembly errors,the optimization total curvature of different surface was applied from the tooth surface topology structure.The total curvature of two meshing surface contact points which orients lengthwise,can be considered as sensitivity coefficient,and the effect of reference point sensitivity coefficient of local synthesis and location parameters was investigated.The machine-tool settings of pinion which reduce sensitivity of assembly errors can be obtained by the optimization of the first order gear ratio,contact path direction,sencond order modified and third roll coefficient.The numerical example reveals that sensitivity coefficients of whole mesh cycle is controlled in comparatively small range,the amplitude and symmetry of transmission curve can be achieved to design requirements,the meshing quality can be improved.