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在大学课本及工厂实际设计中,对于异形(非渐开线形)齿轮一概采用近似造形法——法向齿条法。用这种方法设计出的滚刀在精度和生产率各方面都存在很多问题,如果采用空间啮合的理论可以解决。但是由于涉及三维空间使问题相当复杂,不易掌握,故至今未能在生产中得到广泛地应用。 本文采用二次平面包络原理来研究这个问题,从而把复杂的空间问题转化为平面问题,简化了其计算方法,使其啮合关系反应的更加清楚,通俗易懂,为异形滚刀设计提供一个简便可行的方法。
In the university textbook and the actual design of the factory, the approximate shape method - normal rack method is adopted for the profiled (non-involute) gears. Hobs designed in this way have many problems in terms of accuracy and productivity, and can be solved using the theory of spatial meshing. However, due to the complexity involved in the three-dimensional space, not easy to grasp, it has so far failed to be widely used in production. In this paper, the principle of quadratic plane envelope is used to study this problem, which transforms the complex space problem into a plane problem, simplifies its calculation method, makes its meshing reaction clearer and easier to understand, and provides a Simple and feasible method.