为了实现面齿轮的滚磨齿加工,采用包络原理对面齿轮滚磨齿刀具基蜗杆进行设计,并对基蜗杆齿廓曲面的奇异点进行分析.建立了刀具基蜗杆的包络坐标系,给出了刀具基蜗杆产形面方程,推导了刀具基蜗杆齿廓的曲面方程,利用Catia软件对基蜗杆进行了三维建模;推导了基蜗杆曲面的奇异点方程,给出基蜗杆曲面奇异点的计算方法,进行了基蜗杆曲面奇异点的实例计算;分别分析了基蜗杆半径、插齿刀模数、齿数、压力角对基蜗杆曲面奇异点位置的影响.

In order to produce face gear by a hob or grinding worm,a base worm used for hob or grinding worm was designed.In the investigation,a coordinate was established to describe the enveloping process of the worm,the equations describing the worm thread surface were presented,and the three-dimensional (3-D)entity of base worm was created by Catia.The derivation and avoidance of singularities of base worm thread surface was analyzed.A numerical example was given to calculated singularity point.The influence of the base worm radius,the module of shaper,the teeth number and the pressure angle on the singularity point were analyzed,respectively.

国家自然科学基金(50775108,51105194); 航空科技创新基金(08B52004); 南航青年科技创新基金(NS2010129); 南航直升机传动技术专项(NP2011025)