Local Corner Smoothing Transition Algorithm Based on Double Cubic NURBS for Five-axis Linear Tool Path

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ZHANG, Liqiang ;ZHANG, Kai ;YAN, Yecui .
Local Corner Smoothing Transition Algorithm Based on Double Cubic NURBS for Five-axis Linear Tool Path. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 62, n.11, p. 647-656, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/local-corner-smoothing-transition-algorithm-based-on-double-cubic-nurbs-for-five-axis-linear-tool-path/>. Date accessed: 01 dec. 2021. 
doi:http://dx.doi.org/10.5545/sv-jme.2016.3525.
Zhang, L., Zhang, K., & Yan, Y.
(2016).
Local Corner Smoothing Transition Algorithm Based on Double Cubic NURBS for Five-axis Linear Tool Path.
Strojniški vestnik - Journal of Mechanical Engineering, 62(11), 647-656.
doi:http://dx.doi.org/10.5545/sv-jme.2016.3525
@article{sv-jmesv-jme.2016.3525,
	author = {Liqiang  Zhang and Kai  Zhang and Yecui  Yan},
	title = {Local Corner Smoothing Transition Algorithm Based on Double Cubic NURBS for Five-axis Linear Tool Path},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {62},
	number = {11},
	year = {2016},
	keywords = {five-axis machining; corner transition; double NURBS curves; tool path},
	abstract = {A five-axis tool path is often composed of a linear path that has a tangential discontinuity so that the tangential velocity will be abrupt or be equal to zero at the corner of the adjacent segments. Therefore, it greatly affects the machining efficiency and quality. Thus, a corner smoothing transition algorithm based on double cubic NURBS, which is curvature-continuous and satisfies the given accuracy constraint, is proposed to smooth the local corner at the adjacent five-axis linear path. On the basis of the smoothing transition model, the parametric synchronization between the smoothed double NURBS trajectories and the remaining two linear segments are respectively constructed to realize the smoothing variation along the tool tip translational trajectory and tool axis rotational trajectory. The simulation and examples show that the proposed transition algorithm can satisfy the error constraints, reduce the feedrate fluctuation, and improve the machining quality.},
	issn = {0039-2480},	pages = {647-656},	doi = {10.5545/sv-jme.2016.3525},
	url = {https://www.sv-jme.eu/article/local-corner-smoothing-transition-algorithm-based-on-double-cubic-nurbs-for-five-axis-linear-tool-path/}
}
Zhang, L.,Zhang, K.,Yan, Y.
2016 June 62. Local Corner Smoothing Transition Algorithm Based on Double Cubic NURBS for Five-axis Linear Tool Path. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 62:11
%A Zhang, Liqiang 
%A Zhang, Kai 
%A Yan, Yecui 
%D 2016
%T Local Corner Smoothing Transition Algorithm Based on Double Cubic NURBS for Five-axis Linear Tool Path
%B 2016
%9 five-axis machining; corner transition; double NURBS curves; tool path
%! Local Corner Smoothing Transition Algorithm Based on Double Cubic NURBS for Five-axis Linear Tool Path
%K five-axis machining; corner transition; double NURBS curves; tool path
%X A five-axis tool path is often composed of a linear path that has a tangential discontinuity so that the tangential velocity will be abrupt or be equal to zero at the corner of the adjacent segments. Therefore, it greatly affects the machining efficiency and quality. Thus, a corner smoothing transition algorithm based on double cubic NURBS, which is curvature-continuous and satisfies the given accuracy constraint, is proposed to smooth the local corner at the adjacent five-axis linear path. On the basis of the smoothing transition model, the parametric synchronization between the smoothed double NURBS trajectories and the remaining two linear segments are respectively constructed to realize the smoothing variation along the tool tip translational trajectory and tool axis rotational trajectory. The simulation and examples show that the proposed transition algorithm can satisfy the error constraints, reduce the feedrate fluctuation, and improve the machining quality.
%U https://www.sv-jme.eu/article/local-corner-smoothing-transition-algorithm-based-on-double-cubic-nurbs-for-five-axis-linear-tool-path/
%0 Journal Article
%R 10.5545/sv-jme.2016.3525
%& 647
%P 10
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 62
%N 11
%@ 0039-2480
%8 2018-06-27
%7 2018-06-27
Zhang, Liqiang, Kai  Zhang, & Yecui  Yan.
"Local Corner Smoothing Transition Algorithm Based on Double Cubic NURBS for Five-axis Linear Tool Path." Strojniški vestnik - Journal of Mechanical Engineering [Online], 62.11 (2016): 647-656. Web.  01 Dec. 2021
TY  - JOUR
AU  - Zhang, Liqiang 
AU  - Zhang, Kai 
AU  - Yan, Yecui 
PY  - 2016
TI  - Local Corner Smoothing Transition Algorithm Based on Double Cubic NURBS for Five-axis Linear Tool Path
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2016.3525
KW  - five-axis machining; corner transition; double NURBS curves; tool path
N2  - A five-axis tool path is often composed of a linear path that has a tangential discontinuity so that the tangential velocity will be abrupt or be equal to zero at the corner of the adjacent segments. Therefore, it greatly affects the machining efficiency and quality. Thus, a corner smoothing transition algorithm based on double cubic NURBS, which is curvature-continuous and satisfies the given accuracy constraint, is proposed to smooth the local corner at the adjacent five-axis linear path. On the basis of the smoothing transition model, the parametric synchronization between the smoothed double NURBS trajectories and the remaining two linear segments are respectively constructed to realize the smoothing variation along the tool tip translational trajectory and tool axis rotational trajectory. The simulation and examples show that the proposed transition algorithm can satisfy the error constraints, reduce the feedrate fluctuation, and improve the machining quality.
UR  - https://www.sv-jme.eu/article/local-corner-smoothing-transition-algorithm-based-on-double-cubic-nurbs-for-five-axis-linear-tool-path/
@article{{sv-jme}{sv-jme.2016.3525},
	author = {Zhang, L., Zhang, K., Yan, Y.},
	title = {Local Corner Smoothing Transition Algorithm Based on Double Cubic NURBS for Five-axis Linear Tool Path},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {62},
	number = {11},
	year = {2016},
	doi = {10.5545/sv-jme.2016.3525},
	url = {https://www.sv-jme.eu/article/local-corner-smoothing-transition-algorithm-based-on-double-cubic-nurbs-for-five-axis-linear-tool-path/}
}
TY  - JOUR
AU  - Zhang, Liqiang 
AU  - Zhang, Kai 
AU  - Yan, Yecui 
PY  - 2018/06/27
TI  - Local Corner Smoothing Transition Algorithm Based on Double Cubic NURBS for Five-axis Linear Tool Path
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 62, No 11 (2016): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2016.3525
KW  - five-axis machining, corner transition, double NURBS curves, tool path
N2  - A five-axis tool path is often composed of a linear path that has a tangential discontinuity so that the tangential velocity will be abrupt or be equal to zero at the corner of the adjacent segments. Therefore, it greatly affects the machining efficiency and quality. Thus, a corner smoothing transition algorithm based on double cubic NURBS, which is curvature-continuous and satisfies the given accuracy constraint, is proposed to smooth the local corner at the adjacent five-axis linear path. On the basis of the smoothing transition model, the parametric synchronization between the smoothed double NURBS trajectories and the remaining two linear segments are respectively constructed to realize the smoothing variation along the tool tip translational trajectory and tool axis rotational trajectory. The simulation and examples show that the proposed transition algorithm can satisfy the error constraints, reduce the feedrate fluctuation, and improve the machining quality.
UR  - https://www.sv-jme.eu/article/local-corner-smoothing-transition-algorithm-based-on-double-cubic-nurbs-for-five-axis-linear-tool-path/
Zhang, Liqiang, Zhang, Kai, AND Yan, Yecui.
"Local Corner Smoothing Transition Algorithm Based on Double Cubic NURBS for Five-axis Linear Tool Path" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 62 Number 11 (27 June 2018)

Authors

Affiliations

  • Shanghai University of Engineering Science, College of Mechanical Engineering, China 1
  • Shanghai University of Engineering Science, Automotive Engineering College, China 2

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 62(2016)11, 647-656

https://doi.org/10.5545/sv-jme.2016.3525

A five-axis tool path is often composed of a linear path that has a tangential discontinuity so that the tangential velocity will be abrupt or be equal to zero at the corner of the adjacent segments. Therefore, it greatly affects the machining efficiency and quality. Thus, a corner smoothing transition algorithm based on double cubic NURBS, which is curvature-continuous and satisfies the given accuracy constraint, is proposed to smooth the local corner at the adjacent five-axis linear path. On the basis of the smoothing transition model, the parametric synchronization between the smoothed double NURBS trajectories and the remaining two linear segments are respectively constructed to realize the smoothing variation along the tool tip translational trajectory and tool axis rotational trajectory. The simulation and examples show that the proposed transition algorithm can satisfy the error constraints, reduce the feedrate fluctuation, and improve the machining quality.

five-axis machining; corner transition; double NURBS curves; tool path