谐波传动中凸轮径向变形量对齿廓修形的影响

由于谐波传动中凸轮变形量理论值与实际不符,引起刚轮与柔轮齿廓干涉,以无公切线双圆弧谐波齿轮为研究对象,基于改进运动学法设计齿形,在Abaqus中建立谐波齿轮有限元模型,提取柔轮长短轴最大径向位移,结合双圆弧齿廓修形原理,采用Matlab进行仿真分析,研究不同凸轮径向变形量对柔轮修形的影响。结果表明,随着凸轮径向变形量增大,柔轮前端轮齿修形量急剧增大,后端轮齿修形量缓慢减小;当凸轮径向变形量为0.49mm左右时,修形后可实现空载下无干涉啮合。有限元法进一步完善了谐波传动齿廓修形原理。

Influence of Radial Deformation of Cam on Profile Modification in Harmonic Drive

In order to solve the interference between the rigid wheel and the flexible wheel tooth profile caused by the theoretical value of the cam radial deformation is inconsistent with the reality in the harmonic drive,taking the double arc harmonic gear without common tangent as research object, based on the im proved kinematics method,the harmonic gear finite element model is established in Abaqus. The maximum ra dial displacement of the long and short axes of the flexible wheel is extracted. Combined with the principle of double arc profile modification,the simulation analysis is carried out by Matlab to study the influence of dif ferent cam radial deformation on the modification of the flexible wheel. The results show that with the in crease of the radial deformation of the cam,the amount of tooth modification of the front end of the flexible wheel increases sharply,and the amount of tooth modification of the rear wheel teeth decreases slowly. When the radial deformation of the cam is about 0.49 mm,no interference engagement under no-load can be achieved after the modification. The finite element method further improves the principle of harmonic drive tooth profile modification.