Generating conjugate shapes using piecewise cubic spline functions

Computer Methods in Applied Mechanics and Engineering

Volumn 187, Issue 1-2, 2000, Pages 245-260

  Su, Shyh Haur ^a   Tseng, Ching Huan ^a  

^a NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; CURVE FITTING; FUNCTIONS; GEAR CUTTERS; MATHEMATICAL MODELS; REVERSE ENGINEERING; SPLINES;

CONJUGATE SHAPES; COORDINATE MEASURING MACHINES; PIECEWISE CUBIC SPLINE FUNCTIONS;

COMPUTATIONAL METHODS;

EID: 0033717448     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00133-4     Document Type: Article

References (11)

1. F.L. Litvin, Theory of Gearing, NASA RP-1212 (AVSCOM 88-C-035), Washington, DC, 1989.
2. F.L Litvin, Gear Geometry and Applied Theory, Prentice Hall, New York, 1994.
3. Tsay C.B. Helical gears with involute shaped tooth geometry computer simulation tooth contact analysis and stress analysis. Journal of Mechanisms Transmission and Automation in Design Transactions of the ASME. 110:1988;482-491.
4. F. Yamaguchi, Curves and Surfaces in Computer Aided Geometric Design, Springer, Berlin, 1988.
5. J. Hoschek, D. Lasser, Fundamentals of Computer Aided Geometric Design, A K Peters, 1993.
6. G. Farin, Curves and Surfaces for Computer Aided Geometric Design. A Practical Guide. Academic Press, New York, 1990.
7. H.B. Richard, C.B. John, A.B. Brian, An Introduction to Splines for use in Computer Graphics and Geometric Modeling. Morgan Kaufmann Publishers, 1987.
8. S.H. Su, C.H. Tseng, Generating conjugate shapes using piecewise linear functions, Journal of Chinese Society of Mechanical Engineering 20 (2) (1999) 97-105.
9. Wagner P.H., Luo X., Stelson K.A. Smoothing curvature and torsion with spring splines. Computer-Aided Design. 27(8):1995;615-626.
10. H.T. Lee, Screw-Rotor Machine With an Ellipse As a Part of Its Male Rotor, US Patent 4, 890,992 1990.
11. S.H. Su, C.H. Tseng, Synthesis Method for Cross-Sectional Rotor Profiles of Screw Compressors, IASTED International Conference on Applied Modelling and Simulation, Hawaii, 1998, pp. 147-151.