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蜗杆蜗轮啮合时,重迭系数大,同时参与啮合的齿对数有时甚至达到4。但一般的啮合原理计算式仅能计算一对齿啮合时的空间位置。本文以啮合原理计算式为基础,分别讨论了蜗杆和蜗轮上同一瞬时参与啮合的诸齿的空间位置及确定同时啮合的齿对数的方法,给出了计算式,附有计算例题。从而解决了蜗杆副同一瞬时啮合的诸齿齿面位置的确定这一在蜗杆传动的啮合理论及强度计算中急待解决的问题。
When the worm gear is engaged, the coefficient of overlap is large, and sometimes the number of teeth involved in the engagement sometimes reaches 4. However, the general principle of meshing calculation can only calculate the spatial position of a pair of teeth meshing. Based on the principle of meshing principle, this paper discusses the spatial position of the same instantaneously engaging teeth on the worm and worm gear, and the method of determining the number of teeth to be engaged at the same time respectively. Thus resolving the determination of the position of the tooth surfaces of the same momentary engagement of the worm pair, which urgently needs to be solved in the theory and strength calculation of the meshing of the worm drive.