Triple parametric tool path interpolation for five-axis machining with three-dimensional cutter compensation

Chuanjun Li,Huan Liu,Bin Zhang,XueLei Wang,Qiang Liu

doi:10.1177/1687814018798229

Chuanjun Li, Huan Liu + Show 3 more

Open Access

https://doi.org/10.1177/1687814018798229

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Abstract

Parametric interpolation obtains a great success in three-axis surface machining with smooth motion, high accuracy, and high machining efficiency, but does not go well in five-axis surface machining due to lack of appropriate and efficient methods of tool path generation, interpolation, and three-dimensional cutter compensation. This article proposes a triple parametric tool path interpolation method for five-axis machining with three-dimensional cutter compensation, which proposes an appropriate triple parametric tool generation method for realizing the three-dimensional cutter compensation in five-axis parametric interpolation. A triple parametric interpolation algorithm is also proposed to realizing the simultaneous interpolation of the source data, which ensures the primitivity and maintains the accuracy. The proposed three-dimensional cutter compensation can compensate the errors caused by minor changes in cutter size, thus machining accuracy can be improved. Finally, illustrated example verifies the feasibility and applicability of the proposed methods.

Highlights

Parametric interpolation has been proved to have great advantages over conventional linear and arc codes,[1,2,3,4,5,6,7] such as smoother motion, shorter machining time, and higher accuracy
The cutter location (CT) data, CC data, and cutter orientation (CO) data generated by the computer-aided design (CAD) or computer-aided manufacturing (CAM) systems are fitted to parametric B-spline P(u), Q(v), and H(w), which interpolate the CC points, CT points, and CO vectors as functions of geometric parameters u, v, and w, respectively
The CT point p, CC point q, and constant position h are known after the triple tool path interpolation presented in section ‘‘Triple parametric tool path generation.’’ the 3D cutter radius compensation can be realized by using equation (16) if there are changes in cutter size compared with the predefined one in

Summary

Introduction

Parametric interpolation has been proved to have great advantages over conventional linear and arc codes,[1,2,3,4,5,6,7] such as smoother motion, shorter machining time, and higher accuracy. Liu et al.[13] proposed a dual NURBS tool path interpolation for five-axis machining with controlled angular velocity.

Results

Conclusion