A circumscribed local interpolation methodology for CNC machining along linear tool paths. (17th August 2020)

• Record Type: Journal Article
• Authors: Xu, Fuyang; Chen, Mansen; Sun, Yuwen
• Is Part Of: Journal of industrial and production engineering. Volume 37:Number 6(2020)
• Page Start: 245
• Page End: 258
• Publication Date: 2020-08-17
• Subjects: Interpolation -- Bezier curves -- NC machining -- G2 continuity; Industrial engineering -- Periodicals; Production engineering -- Periodicals; 620
• DOI: 10.1080/21681015.2020.1769209
• Languages: English
• ISSNs: 2168-1015

Abstract

ABSTRACT: The G01 tool path, which consisted of linear segments, is commonly used in NC machining. There is the tangential and curvature discontinuity at the junctions of adjacent linear segments, which can cause the fluctuations of feedrate and deteriorate surface quality. In this paper, a novel circumscribed local interpolation method is proposed to smooth the discrete path and consequently improve the kinematic performance of the machine tool. The polygons are firstly constructed with a constraint of the maximum approximation error. Then, the double cubic Bezier curves are used to smooth the corner between two linear segments and the control points are derived according to the G2 continuity condition and the length constraint. Further, the motion profile along the blended tool path is generated by utilizing the quantic polynomial feedrate scheduling strategy. Finally, the proposed smoothing method is validated by simulations and experiments.