Realization Methodology of a 5-axis Spline Interpolator in an Open CNC System

Yong-zhang, Wang; Ma, Xing; Chen, Liangji; Han, Zhenyu

doi:10.1016/s1000-9361(07)60056-9

Cited by 21 publications

(8 citation statements)

References 10 publications

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“…(5) and (16), and the blending lengths and angle are constrained by Eqs. (6) and (18). The constraints of synchronization are defined by Eq.…”

Section: Real-time C 2 Continuous Local Smoothing Proceduresmentioning

confidence: 99%

“…Step I: Calculate the tool tip position blending l ε and the tool orientation blending angle β ε with the given error tolerances ε tip and ε ori using Eqs. (6) and (18).…”

Section: Real-time C 2 Continuous Local Smoothing Proceduresmentioning

confidence: 99%

“…Langeron et al [5] utilized two B-Spline to synchronously interpolate the positions of tool tip and a point on the tool axis. Based on this idea, Wang et al [6] realized a double NURBS curve based interpolator and integrated it to an open CNC system. Zhang et al [7] generated smooth tool path using…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Analytical Decoupled Corner Smoothing Method for Five-Axis Linear Tool Paths

Zhao

Wan

et al. 2019

IEEE Access

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Nowadays, the tool path in five-axis machining is usually described with linear segments. Tangential and curvature discontinuities of the linear tool path lead to poor machining efficiency and quality. Due to the complexities in constraining approximation errors and synchronization of tool tip position and tool orientation, it still remains a challenge to smooth five-axis linear tool path in real-time. To solve this problem, this paper developed an analytical decoupled corner smoothing method by inserting an asymmetric cubic B-spline and a pair of symmetric quartic spherical Bézier curves for tool tip position and tool orientation, respectively. The maximal approximation errors for tool tip position and tool orientation are fully constrained in the blending procedures. Tool tip position and tool orientation are synchronized by adjusting the blending lengths and angles, which guarantees the C 2 continuity of the tool path. The blending and synchronous scheme are analytical. Therefore, the proposed method can be employed in real-time. To verify the proposed method, simulations and experiments on a five-axis machine tool are conducted, the results demonstrate the feasibility and efficiency of the proposed method.

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“…(5) and (16), and the blending lengths and angle are constrained by Eqs. (6) and (18). The constraints of synchronization are defined by Eq.…”

Section: Real-time C 2 Continuous Local Smoothing Proceduresmentioning

confidence: 99%

“…Step I: Calculate the tool tip position blending l ε and the tool orientation blending angle β ε with the given error tolerances ε tip and ε ori using Eqs. (6) and (18).…”

Section: Real-time C 2 Continuous Local Smoothing Proceduresmentioning

confidence: 99%

See 1 more Smart Citation

An Analytical Decoupled Corner Smoothing Method for Five-Axis Linear Tool Paths

Zhao

Wan

et al. 2019

IEEE Access

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“…The task of real-time interpolation is to calculate the knot vector value in next interpolation period based on the corresponding knot vector value ( 1) x k ( ) x k of interpolation in current period [7]. This task is a real-time task, and it is disposed by the Axis Group module.…”

Section: Real-time Interpolator In the Open Controllermentioning

confidence: 99%

5-Axis A-Spline Iterpolation Function and Its Realization Strategy

Han

Liu

Yong-zhang

et al. 2009

2009 International Conference on Information Technology and Computer Science

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The current 5-axis coordinated linear interpolation method results in low-speed, low-accuracy and enormous numerical control (NC) files in sculptured surface machining. An instruction format with AKIMA spline curves suitable for 5-axis coordinated real-time interpolation is presented by making use of the advantages of AKIMA curves to represent spatial curves. Curve through position vectors in the machining path is constructed using AKIMA spline method. The related orientation vector to each position vector is calculated by angles of the machine tool rotation axis. Then curve through orientation vectors is achieved by AKIMA method too. Real-time interpolation of these curves is accomplished with a method of truncated Taylor series expansion. A controller with this interpolation method is developed in an open computer numerical control (CNC) system developed by ourselves. The performance of the proposed controller is demonstrated using a practical example.

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“…Interpolation accuracy is an important criterion to evaluate an interpolation method [7]. Traditional linear interpolation segments are obtained by dispersing a curve in CAM part, while the proposed spline interpolation method entails direct interpolation of a curve.…”

Section: Error Analysismentioning

confidence: 99%

5-axis polynomial spline interpolation in an open CNC system

Liu

Yong-zhang

Han

2008

2008 2nd International Symposium on Systems and Control in Aerospace and Astronautics

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Using the advantage of polynomial spline interpolation to represent spatial curves with good approximation effect and mature technology, an instruction format with polynomial spline curves, which is suitability for five axes coordinated real-time interpolation, is presented against the current five axes coordinated linear interpolation method with drawbacks of low-speed, low-accuracy and great NC files in sculptured surface machining. Structure of the controller of an open CNC system developed by ourselves is introduced. And the method to realize the interpolation in translator and interpolator is further discussed detailedly. Through the illustration, it has been indicated that the proposed method can avoid all the shortages of five-axis linear interpolation method. The preliminary application results show that the said technology has a better suitability.

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Realization Methodology of a 5-axis Spline Interpolator in an Open CNC System

Cited by 21 publications

References 10 publications

An Analytical Decoupled Corner Smoothing Method for Five-Axis Linear Tool Paths

An Analytical Decoupled Corner Smoothing Method for Five-Axis Linear Tool Paths

5-Axis A-Spline Iterpolation Function and Its Realization Strategy

5-axis polynomial spline interpolation in an open CNC system

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