Active Design for Tooth Surface of Spiral Bevel and Hypoid Gears Generated by Duplex Helical Method
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摘要: 为解决双重螺旋法加工的螺旋锥齿轮接触区难调整的问题,根据螺旋锥齿轮加工的创成模型获得小轮共轭齿面,然后通过预置配对齿面的啮合性能,对小轮共轭齿面进行修形获得满足预置啮合性能的目标齿面;以小轮结果齿面与目标齿面偏差平方和最小为目标,将小轮加工参数调整量作为变量,考虑约束条件建立了优化模型,采用非线性约束优化求解的方法求解。最后以双重螺旋法加工的8×43的准双曲线齿轮副修型为例,通过数值计算和滚检试验来验证双重螺旋法加工齿面的主动设计方法有效性。Abstract: In order to solve the problem that the contact region of spiral bevel and hypoid gear which generated by duplex helical method was difficult to adjust, a pinion conjugate tooth surface was obtained by generating model for spiral bevel and hypoid gear, and then modified the pinion conjugate tooth surface according to the preset meshing performance of tooth surface to obtain a pinion target tooth surface. Considering the constraint condition, the optimal model was built by setting the least sum of square errors between the pinion resultant tooth surface and the pinion target on both sides as object and setting the adjustment amount of pinion machining parameters as variables. The model was solved by the method of nonlinearly constrained optimization. Taking a hypoid gear drive 8×43 that manufactured by duplex helical method, the proposed menthod were proven by numerical computation and rolling test.
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