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http://dx.doi.org/10.7736/KSPE.2016.33.9.745

A Study on the Acceleration and Deceleration Control of Free-Form Surfaces  

Baek, Dae Kyun (Institute of Mechanical Engineering Technology, Kyungpook National University)
Yang, Seung-Han (School of Mechanical Engineering, Kyungpook National University)
Publication Information
Journal of the Korean Society for Precision Engineering / v.33, no.9, 2016 , pp. 745-751 More about this Journal
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.
Keywords
Free-Form surface; NURBS; Taylor's expansion; Recursive method;
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Times Cited By KSCI : 1  (Citation Analysis)
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