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TECHNICAL PAPERS

Quintic Spline Interpolation With Minimal Feed Fluctuation

[+] Author and Article Information
Kaan Erkorkmaz

Currently at University of Waterloo, Department of Mechanical Engineering, 200 University Avenue West, Waterloo, ON N2L3G1, CANADA

Yusuf Altintas

University of British Columbia, Department of Mechanical Engineering, 2324 Main Mall, Vancouver, BC V6T1Z4, CANADA

J. Manuf. Sci. Eng 127(2), 339-349 (Apr 25, 2005) (11 pages) doi:10.1115/1.1830493 History: Received April 01, 2003; Revised July 01, 2004; Online April 25, 2005
Copyright © 2005 by ASME
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References

Wang,  F.-C., and Yang,  D. C. H., 1993, “Nearly Arc-Length Parameterized Quintic-Spline Interpolation for Precision Machining,” Comput.-Aided Des., 25, No. 5, pp. 281–288.
Wang,  F.-C., Wright,  P. K., Barsky,  B. A., and Yang,  D. C. H., 1999, “Approximately Arc-Length Parameterized C3 Quintic Interpolatory Splines,” ASME J. Mech. Des., 121, No. 3, pp. 430–439.
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Farouki,  R. T., al-Kandari,  M., and Sakkalis,  T., 2002, “Hermite Interpolation by Rotation-Invariant Spatial Pythagorean-Hodograph Curves,” Adv. Comput. Math., 17, pp. 369–383.
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Erkorkmaz,  K., and Altintas,  Y., 2001, “High Speed CNC System Design: Part I-Jerk Limited Trajectory Generation and Quintic Spline Interpolation,” Int. J. Mach. Tools Manuf., 41, No. 9, pp. 1323–1345.
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Altintas,  Y., Erkorkmaz,  K., and Zhu,  W.-H., 2000, “Sliding Mode Controller Design for High Speed Drives,” CIRP Annals-Manufacturing Technology, 49, No. 1, pp. 265–270.
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Figures

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Different methods for interpolating along a given spline tool path
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Feed correction polynomial
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Fan shaped spline tool path used by Wang et al. 12
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Comparison of proposed spline parameterization and interpolation techniques with other methods in literature for the fan shaped tool path
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Number of iterations per control sample for iterative interpolation along the fan profile constructed with AAPC3 quintic splines
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Tool path and ALPI Comparison of AAPC3 and OAP quintic splines passing through ten random points
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Feed rate profiles for ten random points
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Experimental tracking and contouring performance for natural interpolation along AAPC3 spline fit through ten random points
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Experimental tracking and contouring performance for feed correction polynomial interpolation along AAPC3 spline fit through ten random points
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Experimental tracking and contouring performance for natural interpolation along OAP spline fit through ten random points

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