Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
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A Study on the Acceleration and Deceleration Control of Free-Form Surfaces

자유곡면의 가감속 제어에 관한 연구

  • Baek, Dae Kyun (Institute of Mechanical Engineering Technology, Kyungpook National University) ;
  • Yang, Seung-Han (School of Mechanical Engineering, Kyungpook National University)
  • Received : 2015.10.26
  • Accepted : 2016.05.31
  • Published : 2016.09.01
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Abstract

This paper presents the acceleration and deceleration control of free-form surfaces. A rapid variation of acceleration (or Deceleration) drives the system into a machine shock, resulting in the inaccuracy of the path control of the NURBS curve. The pattern of acceleration control can be established using the curvature of the NURBS curve. The curvature can be easily calculated from the first and second derivative of the NURBS curve used in Taylor's expansion for NURBS interpolation. However, the derivatives are not used in the recursive method for NURBS interpolation. Hence, we attempted the difference-derivatives for calculating the NURBS curvature. Both, Taylor's expansion and the recursive method, are used jointly for controlling the acceleration in the same interpolation algorithm.

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References

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