Discretizors and Interpolators for Five-Axis CNC Machines

Discretization and interpolation of curves are two frequently adopted practices when machining complex curves using computer numerically controlled (CNC) machines. Both practices stem from the need to sample curves at discrete time intervals corresponding to the sampling period of the CNC machine, This paper proposes new techniques for discretization and interpolation that account for the change of tool orientations in five-axis machining First, the method for discretization proposed in this paper is based on sampling the curves such that specified contour, feedrate, and orientation errors are not exceeded. Second, the interpolator proposed in this paper will be able to avoid excessive angular speeds arising from sampling the curves based on the feedrate alone.

[1]  J. W. Park,et al.  Cutter-location data optimization in 5-axis surface machining , 1993, Comput. Aided Des..

[2]  Chih-Ching Lo,et al.  Feedback Interpolators for CNC Machine Tools , 1997 .

[3]  Dinesh Manocha,et al.  Detecting Cusps and Inflection Points in Curves , 1991, Curves and Surfaces.

[4]  Yoram Koren,et al.  Computer control of manufacturing systems , 1983 .

[5]  D. C. H. Yang,et al.  Nearly arc-length parameterized quintic-spline interpolation for precision machining , 1993, Comput. Aided Des..

[6]  Jui-Jen Chou,et al.  On the Generation of Coordinated Motion of Five-Axis CNC/CMM Machines , 1992 .

[7]  Moshe Shpitalni,et al.  Realtime curve interpolators , 1994, Comput. Aided Des..

[8]  Daniel C. H. Yang,et al.  Parametric interpolator versus linear interpolator for precision CNC machining , 1994, Comput. Aided Des..

[9]  Robert P. Markot,et al.  Surface algorithms using bounds on derivatives , 1986, Comput. Aided Geom. Des..

[10]  Dimitris Kiritsis,et al.  High precision interpolation algorithm for 3D parametric curve generation , 1994, Comput. Aided Des..

[11]  Qiaode Jeffrey Ge,et al.  Parametric Continuous and Smooth Motion Interpolation , 1996 .

[12]  Chih-Ching Lo.  Cross-coupling control of multi-axis manufacturing systems. , 1992 .

[13]  Nicholas M. Patrikalakis,et al.  Computation of singularities and intersections of offsets of planar curves , 1993, Comput. Aided Geom. Des..

[14]  Samuel D. Conte,et al.  Elementary Numerical Analysis , 1980 .

[15]  Yuan-Shin Lee,et al.  Admissible tool orientation control of gouging avoidance for 5-axis complex surface machining , 1997, Comput. Aided Des..

[16]  Rida T. Farouki,et al.  Real-time CNC interpolators for Pythagorean-hodograph curves , 1996, Comput. Aided Geom. Des..

[17]  Yoram Koren,et al.  Five-axis surface interpolators , 1995 .

[18]  Ken Shoemake,et al.  Animating rotation with quaternion curves , 1985, SIGGRAPH.

[19]  Jui-Jen Chou,et al.  Command Generation for Three-Axis CNC Machining , 1991 .