In Part 2 of this two-part paper, we describe a new quintic spline interpolator for real time trajectory generation during free form curve machining on the Open Architecture machine tool platform described in Part I. The research provides new capabilities for advanced CAD/CAM systems. Complicated curves and shapes designed in a CAD system are usually represented by a set of discrete data points. Subsequently, for manufacturing by a CAM system, these data points need to be converted into tool paths for machining. Therefore, the paper presents a new interpolation method that interpolates the designated data points with a quintic spline curve for real-time tool path generation. The resultant curve, generated by the proposed interpolation method, is nearly arc-length parametrized and has C3 continuity. The near arc-length parametrization property makes the real time generation of the reference commands of the cutting tool path easier. The C3 continuity guarantees the smooth motion of continuous speed, acceleration and even jerk during the machining. The combined properties of this new interpolation method enable a new quintic spline interpolator to be developed for real time tool path generation.
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e-mail: fuchung@predator.berkeley.edu
e-mail: pwright@robocop.berkeley.edu
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Research Papers
Open Architecture Controllers for Machine Tools, Part 2: A Real Time Quintic Spline Interpolator
Fu-Chung Wang,
Fu-Chung Wang
Department of Mechanical Engineering, University of California, Berkeley, Berkeley, California 94720
e-mail: fuchung@predator.berkeley.edu
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P. K. Wright
P. K. Wright
Department of Mechanical Engineering, University of California, Berkeley, Berkeley, California 94720
e-mail: pwright@robocop.berkeley.edu
Search for other works by this author on:
Fu-Chung Wang
Department of Mechanical Engineering, University of California, Berkeley, Berkeley, California 94720
e-mail: fuchung@predator.berkeley.edu
P. K. Wright
Department of Mechanical Engineering, University of California, Berkeley, Berkeley, California 94720
e-mail: pwright@robocop.berkeley.edu
J. Manuf. Sci. Eng. May 1998, 120(2): 425-432 (8 pages)
Published Online: May 1, 1998
Article history
Online:
January 17, 2008
Citation
Wang, F., and Wright, P. K. (May 1, 1998). "Open Architecture Controllers for Machine Tools, Part 2: A Real Time Quintic Spline Interpolator." ASME. J. Manuf. Sci. Eng. May 1998; 120(2): 425–432. https://doi.org/10.1115/1.2830143
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