NURBS interpolation for tangential point tracing grinding of eccentric shaft

Abstract

The sine eccentric shaft is one of the most important parts for industrial robot RV reducer, and its machining quality has immediate effect on the overall device performance. The eccentric shaft X-C linkage grinding model is built based on the tangential point tracing machining principle, and the method of calculating the roundness error for eccentric circle grinding is proposed here. The research is performed on non-uniform rational B-spline (NURBS) interpolation for the coordinates’ densification of eccentric shaft X-C linkage grinding, and the algorithm process is put forward. The process of eccentric grinding is simulated and analysed by wheel inversion envelope method. The results show that the eccentric tangent point tracking model proposed is correct. Compared with the linear interpolation, NURBS interpolation can remarkably improve the accuracy of eccentric shaft tangent point tracking grinding.

Keywords

• interpolation
• shafts
• wheels
• industrial robots
• splines (mathematics)
• couplings
• grinding
• machining
• nurbs interpolation
• sine eccentric shaft
• industrial robot rv reducer
• machining quality
• x-c linkage grinding model
• tangential point tracing machining principle
• eccentric circle grinding
• nonuniform rational b-spline interpolation
• eccentric grinding
• eccentric tangent point
• eccentric shaft tangent point