Transactions of the Korean Society of Machine Tool Engineers (한국공작기계학회논문집)

The Korean Society of Manufacturing Technology Engineers (한국생산제조학회)
권호 표지

A Study on the real-time NURBS Interpolation using 2-stage interpolation

2중 보간법을 이용한 실시간 NURBS 보간방법에 관한 연구

  • 박진호 ((주)에자일텍 자동차사업부)
  • Published : 2004.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

The real-time NURBS interpolation method using 2-stage interpolation is studied. The 2-stage interpolation method that compensates for interpolation errors within machine BLU is proposed. The interpolation result was filtered by an Acceleration/Jerk limitation equation. Through this 2-stage interpolation, both the interpolation error condition and the motion kinematics could be satisfied. Using computer simulation in which interpolation results are evaluated by a numerical iteration method, it is shown that the 2-stage interpolation algerian could interpolate target curves precisely with geometric and dynamic contentment. The proposed algorithm was implemented in the CNC simulator system and an experimental un was conducted to identify the real-time adaptation.

Keywords

References

  1. Cheng, M., Tsai, M., and Kuo, J., 2002, 'Real-time NURBS command generators for CNC servo controllers,' Int. J. of Machine Tools and Manufacture, Vol. 42, pp. 801-813 https://doi.org/10.1016/S0890-6955(02)00015-9
  2. Zelinski, P., 1999, 'Understanding NURBS interpolation,' MMS-Online.
  3. Otsuki, T., Kozai, H., and Wakinotani, Y., 1999, 'Free curve interpolation apparatus and interpolation method,' U.S. Patent, 5936864
  4. Yang, D., and Kong, T., 1994, 'Parametric inter-polator versus linear interpolator for precision CNC machining,' Computer-Aided Design, Vol. 26, No. 3, pp. 225-234 https://doi.org/10.1016/0010-4485(94)90045-0
  5. Wang, F., and Wright, P., 1998, 'Geometry for precision manufacturing on an open architecture machine tool,' Proceedings of the ASME, MED-Vol. 8, pp. 605-610
  6. Zhang, G., and Greenway, R., 1998, 'Development and Implementation of a NURBS Curve Motion Interpolator,' Robotics and Computer-Integrated Manufacturing, Vol. 14, pp. 27-36 https://doi.org/10.1016/S0736-5845(97)00021-5
  7. Yeh, S., and Hsu, P., 1999, 'The speed-controlled interpolator for machining parametric curves,' Computer-Aided Design, Vol. 31, pp. 349-357 https://doi.org/10.1016/S0010-4485(99)00035-4
  8. Bahr, B., Xiao, X, and Krishnan, K., 2001, 'A real-time scheme of cubic parametric curve interpolations for CNC systems,' Computers in Industry, Vol. 45, pp. 309-317 https://doi.org/10.1016/S0166-3615(01)00087-2
  9. Tseng, Y., Chen, Y., and Liu, C, 2001, 'Numerically controlled machining of freeform curves using biarc approximation,' Int. J. of Advanced Manufacturing Technology, Vol. 17, pp. 783-790 https://doi.org/10.1007/s001700170104
  10. Farouki, R. T., and Shah, S., 1996, 'Real-time CNC-interpolators for Pythagorean-hodograph curves,' Computer-Aided Geometric Design, Vol. 13, pp. 583-600 https://doi.org/10.1016/0167-8396(95)00047-X
  11. Xu, H., Tam, H., and Tse, P., 2001, 'Variable feedrate CNC interpolation for planar implicit curves,' Int. J. of Advanced Manufacturing Technology, Vol. 18, pp. 794-800 https://doi.org/10.1007/s001700170005
  12. Zhiming, X, Jincheng, C., and Zhengjin, F., 2002, 'Performance evaluation of real-time interpolation algorithm for NURBS curves,' Int. J. of Advanced Manufacturing Technology, Vol. 20, pp. 270-276 https://doi.org/10.1007/s001700200152
  13. Yeh, S., and Hsu, P., 2002, 'Adaptive-feedrate interpolation for parametric curves with a confined chord error,' Computer-Aided Design, Vol. 34, pp. 229-237 https://doi.org/10.1016/S0010-4485(01)00082-3
  14. Altintas, Y., 2000, Manufacturing Automation, Cambridge University Press, pp. 183-210
  15. Piegl, L., and Tiller, W., 1995, The NURBS Book, Springer
  16. Yang, M., and Park, I., 2002, 'A study on an open architecture CNC system with a NURBS interpolator for WEDM,' Int. J. of Advanced Manufacturing Technology, Vol. 19, pp. 664-668 https://doi.org/10.1007/s001700200111
  17. Choi, I.,and Yang, M., 2002. 4, 'A study on the realtime NURBS interpolation algorithm,' Proceedings of the Korean Society of Machine Tool Engineers Conference, pp. 227-232
  18. Tikhon, M., Ko, T., Kim, H., and Kim, I., 2003, 'Variable Feedrate Interpolator for NURBS Curve Considering Material Removal Rate,' Transactions of the Korean Society of Machine Tool Engineers, Vol. 12, No. 2, pp. 1-8