Research on the Key Issues of Numerical Controlled Machine Layout Design

Zhi Gang Xu

doi:10.4028/www.scientific.net/AMM.548-549.968

Paper Titles

Dynamic Response of Commuter Rail Vehicle under Lateral Track Irregularity
p.948

A Simulation of the Number of Particles Trapped by the Circulating Filter of a Hard Disk Drive and their Trajectories
p.953

FEM Analysis for the Influence of Manufacturing Process Defects on Dynamic Behavior of Thin Chromium Microbeam
p.958

A Study on the Key Technologies of a Kind of Automatic Packaging System
p.963

Research on the Key Issues of Numerical Controlled Machine Layout Design
p.968

PI Control of Proportional Valve-Cylinder Water Hydraulic System
p.977

Two Types of Neural Network Prediction Models and Time Complexity
p.985

Design and Simulation of Automatic Control System for Feed-Drier
p.990

The PWM Rectification System Based on Intelligent PI Controller
p.995

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 548-549Research on the Key Issues of Numerical Controlled...

Research on the Key Issues of Numerical Controlled Machine Layout Design

Abstract:

Formulas for the derivatives and normal vectors of non-rational B-spline and NURBS are proved based on de BOOR’s recursive formula. Compared with the existing approaches targeting at the non-rational B-spline basis functions, these equations are directly targeted at the controlling points, so the algorithms and programs for NURBS curve and surface can also be applied to the derivatives and normals, the calculating performance is increased. A simplified equation is also proved in this paper.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Applied Mechanics and Materials (Volumes 548-549)

Pages:

968-973

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.548-549.968

Citation:

Cite this paper

Online since:

April 2014

Authors:

Zhi Gang Xu*

Keywords:

3D Layout Design, Normal Vector, NURBS

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] Dj.M. Maric, P.F. Meier and S.K. Estreicher: Mater. Sci. Forum Vol. 83-87 (1992), p.119.

Google Scholar

[2] M.A. Green: High Efficiency Silicon Solar Cells (Trans Tech Publications, Switzerland 1987).

Google Scholar

[3] Y. Mishing, in: Diffusion Processes in Advanced Technological Materials, edtied by D. Gupta Noyes Publications/William Andrew Publising, Norwich, NY (2004), in press.

Google Scholar

[4] G. Henkelman, G. Johannesson and H. Jónsson, in: Theoretical Methods in Condencsed Phase Chemistry, edited by S.D. Schwartz, volume 5 of Progress in Theoretical Chemistry and Physics, chapter, 10, Kluwer Academic Publishers (2000).

Google Scholar

[5] R.J. Ong, J.T. Dawley and P.G. Clem: submitted to Journal of Materials Research (2003).

Google Scholar

[6] P.G. Clem, M. Rodriguez, J.A. Voigt and C.S. Ashley, U.S. Patent 6, 231, 666. (2001).

Google Scholar

[7] Information on http: /www. weld. labs. gov. cn.

Google Scholar