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CLC number: TP391.73; TB653

On-line Access: 2013-03-04

Received: 2012-06-28

Revision Accepted: 2012-12-10

Crosschecked: 2013-02-18

Cited: 4

Clicked: 7429

Citations:  Bibtex RefMan EndNote GB/T7714

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Journal of Zhejiang University SCIENCE A 2013 Vol.14 No.3 P.187-197


Collisionless tool orientation smoothing above blade stream surface using NURBS envelope* #

Author(s):  Jing-hua Xu, Shu-you Zhang, Jian-rong Tan, Ri-na Sa

Affiliation(s):  . State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   xujh@zju.edu.cn

Key Words:  Tool orientation smoothing (TOS), Blade stream surface, Triangular facet, NURBS envelope, Surface elastic energy

Jing-hua Xu, Shu-you Zhang, Jian-rong Tan, Ri-na Sa. Collisionless tool orientation smoothing above blade stream surface using NURBS envelope*#[J]. Journal of Zhejiang University Science A, 2013, 14(3): 187-197.

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%T Collisionless tool orientation smoothing above blade stream surface using NURBS envelope*#
%A Jing-hua Xu
%A Shu-you Zhang
%A Jian-rong Tan
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%DOI 10.1631/jzus.A1200160

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A1 - Jing-hua Xu
A1 - Shu-you Zhang
A1 - Jian-rong Tan
A1 - Ri-na Sa
J0 - Journal of Zhejiang University Science A
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.A1200160

In five-axis machining, tool orientation above a blade stream surface may lead to tool collision and a decrease in workpiece rigidity. Hence, collisionless tool orientation smoothing (TOS) becomes an important issue. On the basis of a constant scallop height tool path, the triangular facets in the faces, vertices format are constructed from cutter contact (CC) using the Voronoi incremental algorithm. The cutter location (CL) points candidate set is represented by an oblique elliptic cone whose vertex lies at CC using NURBS envelope. Whether the CL point is above its CC is judged by the dot product between the normal vector and the point on triangulation nearest to the CL point. The curvatures at CC are obtained by fitting a moving least square (MLS) quadratic patch to the local neighborhood of a vertex and calculating eigenvectors and eigenvalues of the Hessian matrix. Triangular surface elastic energy is employed as the weight in selection from the NURBS envelope. The collision is judged by NURBS surface intersection. TOS can then be expressed by selecting a CL point for each CC point and converted into a numerical control (NC) code automatically according to the postprocessor type of the machine center. The proposed method is verified by finishing of a cryogenic turboexpander impeller of air separation equipment.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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