Accuracy improvement method for flank milling surface design

In this paper, a variation of the method of designing surfaces for flank milling proposed by Li et al. 2006 (Surface design for flank milling. Submitted to CAD, July) is presented. Li’s method is based on the premise that the surface flank milled by a cylindrical tool can be represented by a NURBS surface and can be used by designers to build efficient impellers, blades and other engineering parts. In the proposed method, a four control point curve is used to approximate the grazing curves and for subsequent generation of a polynomial surface. This eliminates the need of weights for the interior control points and still results in a good surface. The accuracy of the surface can be controlled by adding control points. Examples are given to demonstrate the proposed surface design method.

[1]  Gershon Elber,et al.  5-Axis Freeform Surface Milling Using Piecewise Ruled Surface Approximation , 1997 .

[2]  Sanjeev Bedi,et al.  Flank Milling Surface Design with the Least Square Approach , 2006 .

[3]  Gerald Farin,et al.  Curves and surfaces for computer aided geometric design , 1990 .

[4]  Joost Duflou,et al.  A geometric modeling and five-axis machining algorithm for centrifugal impellers , 1997 .

[5]  Sanjeev Bedi,et al.  Flank milling of a ruled surface with conical tools—an optimization approach , 2006 .

[6]  Les A. Piegl,et al.  The NURBS Book , 1995, Monographs in Visual Communication.

[7]  Sanjeev Bedi,et al.  Generalization of the imprint method to general surfaces of revolution for NC machining , 2002, Comput. Aided Des..

[8]  Sanjeev Bedi,et al.  Flank milling with flat end milling cutters , 2003, Comput. Aided Des..

[9]  Chenggang Li Surface Design for Flank Milling , 2007 .

[10]  Xiong-Wei Liu,et al.  Five-axis NC cylindrical milling of sculptured surfaces , 1995, Comput. Aided Des..

[11]  C. Y. Wu Arbitrary Surface Flank Milling of Fan, Compressor, and Impeller Blades , 1995 .

[12]  Claire Lartigue,et al.  Tool path deformation in 5-axis flank milling using envelope surface , 2003, Comput. Aided Des..

[13]  Tom Lyche,et al.  Good approximation of circles by curvature-continuous Bézier curves , 1990, Comput. Aided Geom. Des..

[14]  Walter Rubio,et al.  Side milling of ruled surfaces: Optimum positioning of the milling cutter and calculation of interference , 1998 .

[15]  Sanjeev Bedi,et al.  Error measurements for flank milling , 2005, Comput. Aided Des..