A cutter orientation modification method for five-axis ball-end machining with kinematic constraints

Cutter orientation modification with kinematic constraints is very necessary and effective for five-axis machining especially machining at high speed. It is very helpful for achieving a smooth cutter motion and keeping the process steady. Therefore, a cutter orientation adjustment method is proposed to obtain an optimized tool path which makes best use of the kinematic characteristics of angular feed for five-axis machining. For the given five-axis cutter location path and the feed profile of cutter tip point both expressed by b-spline formats with the same parameterization, the analytic relations of angular feed, angular feed acceleration, and jerk with respect to the geometric and tangential feed parameters of the cutter tip trajectory are first derived. Then, the conditional inequalities of these kinematic constraints used for orientation adjustment are built. Subsequently, the determination method of feasible cutter orientation and detailed algorithm of orientation adjustment are given. Finally, illustrated examples are conducted to validate the proposed orientation adjustment method. The results show that the developed method is effective and can be applied to optimize geometrically complex five-axis tool path by taking the angular feed, angular feed acceleration, and jerk into account.

[1]  Hong-Tzong Yau,et al.  Computer-aided process planning for NC tool path generation of complex shoe molds , 2012 .

[2]  Kuan-Hung Chen.  Investigation of tool orientation for milling blade of impeller in five-axis machining , 2011 .

[3]  Weiyin Ma,et al.  Parameterization of randomly measured points for least squares fitting of B-spline curves and surfaces , 1995, Comput. Aided Des..

[4]  W. T. Lei,et al.  Robust real-time NURBS path interpolators , 2009 .

[5]  Pierre Bourdet,et al.  Avoiding 5-axis singularities using tool path deformation , 2004 .

[6]  Miao Hu,et al.  Bézier polygons for the linearization of dual NURBS curve in five-axis sculptured surface machining , 2012 .

[7]  Mud-Armeen Munlin,et al.  Optimal sequencing of rotation angles for five-axis machining , 2007 .

[8]  Pascal Ray,et al.  The Domain of Admissible Orientation concept: A new method for five-axis tool path optimisation , 2008, Comput. Aided Des..

[9]  Lars Linsen,et al.  Double-spiral tool path in configuration space , 2011 .

[10]  L. Geng,et al.  Generating tool-path with smooth posture change for five-axis sculptured surface machining based on cutter’s accessibility map , 2011 .

[11]  Shen Hongyao,et al.  Approximate tool posture collision-free area generation for five-axis CNC finishing process using admissible area interpolation , 2012 .

[12]  Radha Sarma,et al.  Discretizors and Interpolators for Five-Axis CNC Machines , 1998, Dynamic Systems and Control.

[13]  Yuwen Sun,et al.  Contour-parallel offset machining for trimmed surfaces based on conformal mapping with free boundary , 2012 .

[14]  Jun Zhao,et al.  Investigation on ball end milling of P20 die steel with cutter orientation , 2012 .

[15]  Pierre Bourdet,et al.  A new format for 5-axis tool path computation, using Bspline curves , 2004, Comput. Aided Des..

[16]  M. Hsueh,et al.  Automatic selection of cutter orientation for preventing the collision problem on a five-axis machining , 2007 .

[17]  Ahmet Can,et al.  A novel iso-scallop tool-path generation for efficient five-axis machining of free-form surfaces , 2010 .

[18]  Jin Xie,et al.  Experimental investigation on various tool path strategies influencing surface quality and form accuracy of CNC milled complex freeform surface , 2012 .

[19]  Paul C. Xirouchakis,et al.  High accuracy spline interpolation for 5-axis machining , 2004, Comput. Aided Des..

[20]  Yuan-Shin Lee,et al.  Optimizing tool orientations for 5-axis machining by configuration-space search method , 2003, Comput. Aided Des..

[21]  Jiajun Zhou,et al.  Determination of Cutter Orientation for Five-Axis Sculptured Surface Machining with a Filleted-End Cutter , 2002 .

[22]  Min-Yang Yang,et al.  CL surface deformation approach for a 5-axis tool path generation , 2006 .

[23]  Christophe Tournier,et al.  Kinematical performance prediction in multi-axis machining for process planning optimization , 2008 .

[24]  Kai Tang,et al.  Improving the dynamics of five-axis machining through optimization of workpiece setup and tool orientations , 2011, Comput. Aided Des..

[25]  Han Ding,et al.  Global optimization of tool path for five-axis flank milling with a cylindrical cutter , 2009 .

[26]  Evgueni V. Bordatchev,et al.  Experimental study of the effect of tool orientation in five-axis micro-milling of brass using ball-end mills , 2013 .

[27]  Yuan-Shin Lee,et al.  Optimal Tool Orientation for Five-Axis Tool-End Machining by Swept Envelope Approach , 2005 .

[28]  Christophe Tournier,et al.  Iso-scallop tool path generation in 5-axis milling , 2005 .