锥面二次包络圆柱蜗杆传动特性分析

On Properties of Dual Conical Surfaces Twice Covered Cylinder Worm Gearing

以微分几何与空间啮合理论为基础,推导了锥面二次包络圆柱蜗杆幅传动齿面方程和主要啮合性能指标的数学表达式.通过实例计算得出这种蜗杆幅在砂轮半径(r=60～200)一定的变化范围之内,其接触性能和传动啮合性能变化不大,并且分析了砂轮的半锥角变化对于蜗杆齿形的影响.由此得出加工蜗杆时,对砂轮半径要求比较自由,半锥角要求比较严格.同时把它与阿基米德蜗杆副进行了对比分析,找出采用它的优越性.

Based on differential geometry and spatial engaging theories, a set of formulae of dual conical surfaces twice covered cylinder worm gearing have been derived.The computing results indicate this type of worm gearing,variation in contact and enagement is smaller in the distributed area of grinding wheel radius (r=60～200); the influence on worm tooth form when the half cone angle of grinding wheel is changed on is also analyzed. A conclusion can be made that the grinding wheel radius can be changeable but that the half cone angle can not when the worm is machined. Compared with Archimedes worm,the superiority of this worm is shown.