基于共轭差曲面的螺旋锥齿轮接触特性控制方法

Contact Characteristics Control Method of Spiral Bevel Gears Based on Ease-off

为了获得良好的传动质量,需要对螺旋锥齿轮的齿形进行合理设计以控制其接触特性.通过构建螺旋锥齿轮完全共轭齿面及对共轭差曲面进行齿形设计,在共轭齿面求解中引入预置的传动误差,利用相对曲率及线共轭曲面特性建立接触区形态参数与共轭差曲面修形量之间的关联模型,使得所有接触特性参数得以准确控制.提出了一种基于齿面特征共轭接触线修形量拟合及插值算法的共轭差曲面的设计及计算方法,该方法可避免齿根部位由于根切因素导致的修形量求解失败,同时仅需求解少量特征点修形量,便可实现整个共轭差曲面的设计,从而大大提高运算效率.最后通过齿形设计实例及齿面接触分析验证了该方法的正确性.

To obtain good transmission quality, it is necessary to design the tooth profile of spiral bevel gears to control their contact characteristics. The tooth profile was designed through the construction of spiral bevel gear conjugate tooth profiles and ease-off tooth surface. The preset transmission errors were introduced in the solution of conjugate tooth surface, and a correlation model between the contact area morphological parameters and the ease-off tooth surface modification was established by using the relative curvature and line conjugate surface characteristics. All the contact parameters were accurately controlled. A designed method of ease-off tooth surface and contact area shape based on tooth surface characteristic conjugate contact line modification and interpolation algorithm was proposed, by which the tooth root due to modification of the factors that lead to the failure of solving undercutting can be avoided. At the same time, this method can be used to design the entire ease-off tooth surface by only a small number of feature points, which can significantly improve the computational efficiency. Finally, the con＇ectness of the method were verified by the tooth design examples and tooth contact analysis.