The feedrate scheduling of NURBS interpolator for CNC machine tools

Lee, An-Chen; Lin, Ming-Tzong; Pan, Yi; Lin, Wenyu

doi:10.1016/j.cad.2011.02.014

Cited by 162 publications

(80 citation statements)

References 24 publications

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“…In order to avoid simultaneously violent changes of acceleration and jerk on each axis when the tool moves across breakpoints, we further improve traditional feedrate by the method proposed by FANUC Corp (FANUC Corporation 2004;Lee et al 2011) for 3D machining. As shown in Figure 7, P iÀ1 , P i and P iþ1 are the current position, breakpoint and next position, V c is the transition feedrate at sharp corners which across the breakpoint.…”

Section: Feedrate Limited At Sharp Corners and Breakpointsmentioning

confidence: 99%

NURBS curve interpolation algorithm based on tool radius compensation method

Zhou

Zhao

et al. 2015

International Journal of Production Research

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This paper focuses on developing an algorithm that can generate toolpaths in NURBS form for smooth, high speed and accurate machining. The initial toolpaths are obtained by tool radius compensation method which is based on the workpiece boundary offsetting. According to different lengths and the continuous short block (CSB) criterion, these offset linear segments can be regarded as CSBs or long straight segments. Junctions are located where the curvature value is greater than the preset curvature threshold value or where it changes abruptly, or at the two end points of any long straight segment. During machining, the NURBS fitting module first looks ahead several CSBs and converts them into parametric curves in real time. During the conversion, continuities of the position, slope or even curvature at the transition of the parametric curves and unfitted line segments can be guaranteed. Then the acceleration/deceleration feedrate-planning scheme is proposed to determine the transition feedrate at the junction between the fitted curves and unfitted long straight segments, and the corner feedrate within the fitted curve. Simulations and experiments show that the proposed algorithm can significantly improve machining accuracy and reduce cutting time to satisfy today's high-speed and high-accurate machining requirements.

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Section: Feedrate Limited At Sharp Corners and Breakpointsmentioning

confidence: 99%

NURBS curve interpolation algorithm based on tool radius compensation method

Zhou

Zhao

et al. 2015

International Journal of Production Research

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show abstract

“…But the algorithm's feedrate scheduling is performed in off-line mode which might not be suitable for real-time high-speed machining. Lee et al [16] proposed a trigonometric feedrate scheduling method of CNC machines constrained by chord tolerance, acceleration and jerk limitations. But the method's jerk curve is unsmooth.…”

Section: Introductionmentioning

confidence: 99%

Design of trigonometric velocity scheduling algorithm based on pre-interpolation and look-ahead interpolation

Wang

Yang

Gai

et al. 2015

International Journal of Machine Tools and Manufacture

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“…Tsay et al [11] used spline functions to synthetize cam motion programs for accommodating discrete constraints on cam-follower displacements, velocities, and accelerations. Lee et al [12] developed an off-line feed-rate scheduling method of CNC machines constrained by chord tolerance, acceleration, and jerk limitations using the non-uniform rational B-spline (NURBS) interpolator. Hekman et al [13] optimized the feed rate to improve part parallelism in grinding.…”

Section: Introductionmentioning

confidence: 99%

A speed optimization algorithm based on the contour error model of lag synchronization for CNC cam grinding

Wang

Sui

Tian

et al. 2015

Int J Adv Manuf Technol

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In CNC cam grinding, the contour error will inevitably exceed the regular range when two axes have different lag caused by the high-speed grinding regardless of the dynamic characteristics of an individual system. To address this problem, a new speed algorithm is proposed in this paper, which is based on a new contour error model using the idea of lag synchronization and can improve the contour accuracy. In this work, a new concept of relative speed that is grinding carriage to the cam is first proposed, and the parametric equations of the relative speed are constructed. In comparison with the constant angular velocity grinding, it demonstrates that significant improvements in contouring accuracy can be realized through such an approach. Furthermore, two practical examples are given to verify the accuracy and reliability. The application results illustrate the cam contour error is less than 0.01 mm.

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The feedrate scheduling of NURBS interpolator for CNC machine tools

Cited by 162 publications

References 24 publications

NURBS curve interpolation algorithm based on tool radius compensation method

NURBS curve interpolation algorithm based on tool radius compensation method

Design of trigonometric velocity scheduling algorithm based on pre-interpolation and look-ahead interpolation

A speed optimization algorithm based on the contour error model of lag synchronization for CNC cam grinding

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