Abstract
Real-time parametric surface interpolation is very useful in high-performance machining. A curvature-based NURBS surface interpolator with look-ahead acceleration/deceleration (ACC/DEC) control has been developed. The cutter contact (CC) paths are planned through iso-parametric line method. The CC feedrate profile is optimized using global flexible control strategy and local adaptive ACC/DEC optimization strategy according to the look-ahead algorithm. The real-time surface interpolation algorithm was programmed on Windows XP platform. The stability and efficiency of the proposed interpolation method were verified by a NURBS curve and a NURBS surface. It is shown that the proposed parametric interpolation algorithm can satisfy the high speed and high precision requirements of high-speed CNC systems.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bedi S., Ali I., Quan N.: Advanced interpolation techniques for CNC machines. J. Eng. Ind. Trans. ASME. 115, 329–336 (1993)
Yang D.C.H., Kong T.: Parametric interpolator versus linear interpolator for precision surface machining. Comput. Aided Des. 26, 225–234 (1994)
Farouki R.T., Tsai Y.F.: Exact Taylor series of coefficient for variable-feedrate CNC curve interpolators. Comput. Aided Des. 33, 155–165 (2001)
Yeh S., Hsu P.: Adaptive-feedrate interpolation for parametric curves with a confined chord error. Comput. Aided Des. 34, 229–237 (2002)
Yong T., Narayanaswami R.: A parametric interpolator with confined chord errors, acceleration and deceleration for NC machining. Comput. Aided Des. 35, 1249–1259 (2003)
Du D., Liu Y., Guo X.: An accurate adaptive NURBS curve interpolator with real-time flexible acceleration/deceleration control. Robot. Cim.-Int. Manuf. 26, 273–281 (2010)
Erkorkmaz K., Altintas Y.: High speed CNC system design. Part I: jerk limited trajectory generation, quintic spline interpolation. Int. J. Mach. Tool Manuf. 41, 1323–1345 (2001)
Lin R.S.: Real-time surface interpolator for 3-D parametric surface machining on 3-axis machine tools. Int. J. Mach. Tool Manuf. 40, 1513–1526 (2000)
Lo C.C.: CNC machine tool surface interpolator for ball-end milling of free-form surfaces. Int. J. Mach. Tool Manuf. 40, 307–326 (2000)
Tsai M.C., Cheng C.W., Cheng M.Y.: A real-time NURBS surface interpolator for precision three-axis CNC machining. Int. J. Mach. Tool Manuf. 43, 1217–1227 (2003)
Piegl L., Tiller W.: The NURBS Book. Springer, Berlin (1997)
Tsai M.C., Cheng C.W.: A real-time predictor-corrector interpolator for CNC machining. J. Manuf. Sci. E.-T. ASME. 125, 449–460 (2003)
Feng H.Y., Li H.W.: Constant scallop-height tool path generation for three-axis sculptured surface machining. Comput. Aided Des. 34, 647–654 (2002)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, Y., Liu, H. & Yu, S. Curvature-Based Real-Time NURBS Surface Interpolator with Look-Ahead ACC/DEC Control. Math.Comput.Sci. 6, 315–326 (2012). https://doi.org/10.1007/s11786-012-0126-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11786-012-0126-5