[1] Meng Shuyun, Zhao Dongbiao,. Direct interpolation algorithm for pen-cutting of sculptured surfaces [J]. Journal of Southeast University (English Edition), 2006, 22 (1): 73-77. [doi:10.3969/j.issn.1003-7985.2006.01.016]

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Direct interpolation algorithm for pen-cutting of sculptured surfaces()

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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:

22

Issue:

2006 1

Page:

73-77

Research Field:

Materials Sciences and Engineering

Publishing date:

2006-03-20

Info

Title:

Direct interpolation algorithm for pen-cutting of sculptured surfaces

Author(s):

Meng Shuyun;  Zhao Dongbiao

College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Keywords:

sculptured surface;  pen-cutting;  direct interpolation

PACS:

TG659;TP391.7

DOI:

10.3969/j.issn.1003-7985.2006.01.016

Abstract:

A direct interpolation algorithm for spatial curves on a surface is proposed for pen-cutting of sculptured surfaces.The algorithm can carry out the direct interpolation for projective curves lying on the sculptured surface.It is based on the geometric and kinetic relationships between drive curves and cutter-contact(C-C)curves.It evaluates the parameter of drive curves corresponding to interpolation points by the Taylor formula.Then it gains coordinates of interpolation points indirectly by inverse calculation.Finally, it generates the motion commands for machine tool controller.This method extends the locus-controlled function in the computer numerical control(CNC)system effectively and improves the efficiency for the numerical control(NC)machining of sculptured surfaces.The simulation shows that the proposed algorithm is feasible and practical.This algorithm can also be applied to the machining of the whole surface.

References:

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[11] Yang Changqi, Qin Datong, Shi Wankai.Tool paths in terms of NURBS curves for five-axis sculptured surface using flat-end tools [J].Journal of Chongqing University: Natural Science Edition, 2003, 26(2):82-89.(in Chinese)
[12] Dong Chenshi, Chen Zhiyang, Wang Guozhao, et al.Optimal B-spline approximation of intersection curves of two surfaces [J].Journal of Computer-Aided Design & Computer Graphics, 2004, 16(4):449-453.(in Chinese)

Memo

Memo:

Biographies: Meng Shuyun(1978—), female, graduate;Zhao Dongbiao(corresponding author), male, doctor, professor, zdbme@nuaa.edu.cn.

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