Tool-path generation of planar NURBS curves

Lai, Yuan-Lung

doi:10.1016/j.rcim.2010.03.006

Cited by 16 publications

(2 citation statements)

References 17 publications

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“…First, the rapid acceleration/deceleration at the transition points between two adjacent segments must be executed due to the first-order discontinuity at these points. 5–7 Then, the approximation of the desired free-form curved toolpath by linear/circular segments will result in a large file size. 7 Both of the above factors lead to the degradation of machining quality and efficiency.…”

Section: Introductionmentioning

confidence: 99%

“…To address the shortcomings of the traditional linear/circular interpolator, the parametric curve interpolation methods are widely researched and developed to generate the smooth curved toolpath directly without the rapid acceleration/deceleration for the high-speed and high-precision machining. 5–9 Lots of modern computer numerical control (CNC) systems, such as Siemens (Germany), FANUC (Japan), and Guangyang numerical control (GNC) (China) can provide cubic spline or nonuniform rational B-spline (NURBS) interpolation function. Taking the GNC numerical control system as an instance, the G-code of NURBS interpolation is G6.2.…”

Section: Introductionmentioning

confidence: 99%

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Conversion method study from cutter-location points to nonuniform rational B-spline toolpath NC file for high-speed machining

Song

Zhang

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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Parts with complex curved surfaces are widely applied and the demands for the machining quality and the machining efficiency of such complex parts become increasingly higher. In order to realize high-speed and high-quality machining, the nonuniform rational B-spline interpolator is widely researched and demonstrated to be superior to the conventional linear or circular interpolators. However, the nonuniform rational B-spline toolpath NC files cannot be directly generated from the computer-aided design (CAD) models by using commercial computer-aided manufacturing (CAM) software. To deal with this problem, a conversion method from the cutter-location points to the nonuniform rational B-spline toolpath numerical control (NC) file is presented. To avoid the bad curve-fitting effect at sharp corners of the toolpath and to meanwhile reduce the computational burden, the cutter-location pre-processing method, consisting data segmentation and data simplification, is provided first. Then, the least-square method is employed to fit the cutter locations to the nonuniform rational B-spline curves, and an iterative fitting approach is proposed for linear/nonuniform rational B-spline hybrid toolpath generation. Finally, a user interface is designed for displaying the fitting results and outputting the NC file with nonuniform rational B-spline toolpaths. By using this method, nonuniform rational B-spline and linear toolpaths hybrid interpolation NC program can be generated for the high-speed machining of complex curved surface parts with the utilization of the nonuniform rational B-spline interpolator. The experimental results demonstrate the feasibility and the advantages of the presented method.

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