Improving the geometry design of cylindrical cams using nonparametric rational B-splines

CAD Computer Aided Design

Volumn 28, Issue 1, 1996, Pages 5-15

  Tsay, Der Min ^a   Lin, Bor Jeng ^a  

^a NATIONAL SUN YAT SEN UNIVERSITY   (Taiwan)

Author keywords

Cylindrical cams; Interpolation; Rational B splines

Indexed keywords

EID: 0041592467     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/0010-4485(95)00020-8     Document Type: Article

References (18)

1. Chakraborty, J and Dhande, S G Kinematics and Geometry of Planar and Spatial Cam Mechanisms John Wiley USA (1977).
2. Rothbart, H A Cams - Design, Dynamics, and Accuracy John Wiley, USA (1982)
3. Chen, F Y Mechanics and Design of Cam Mechanisms Pergamon Press, USA (1982)
4. Tsay, D M and Huey Jr. C O 'Cam motion synthesis using spline functions' ASME J. Mechanisms, Transmissions & Automat. Des. Vol 110 No 2 (1988) pp 161-165
5. Piegl, L 'On NURBS: a survey' Comput. Graph. & Applic. (Jan 1991) pp 55-71
6. Tiller, W 'Rational B-splines for curve and surface representation' Comput. Graph. & Applic. No 10 (1983) pp 61-69
7. Versprille, K 'Computer aided design applications of the rational B-spline approximation form' PhD Thesis Syracuse University, USA (1975)
8. Tsay, D M and Huey Jr, C O 'Application of rational B-splines to the synthesis of cam-follower motion programs' ASME J. Mech. Des. Vol 115 No 3 (1993) pp 621-626
9. Dhande, S G, Bhadoria, B S and Chakraborty, J 'A unified approach to the analytical design of three-dimensional cam mechanisms' ASME J. Eng. Indust. Vol 97B No 1 (1975) pp 327-333
10. Borisov, V D 'Computer-aided design of cylinder cams' Soviet Eng. Res. Vol 4 No 8 (1984) pp 44-47
11. Tsay, D M and Wei, H M 'Design and machining of cylindrical cams with translating conical followers' Comput.-Aided Des. Vol 25 No 10 (1993) pp 655-661
12. Boltyanskii, V G Envelopes Pergamon, UK (1964)
13. Goetz, A Introduction to Differential Geometry Addison-Wesley, USA (1970)
14. Cox, M G 'The numerical evaluation of B-splines' J. Inst. Math. Appl. Vol 10 (1972) pp 134-149
15. de Boor, C 'On calculating with B-splines' J. Approx. Theory Vol 6 (1972) pp 50-62
16. de Boor, C A Practical Guide to Splines Springer-Verlag, USA (1978)
17. Butterfield, K R 'The computation of all the derivatives of a B-spline basis' J. Inst. Math. Appl. Vol 17 (1976) pp 15-25
18. Stoker, J J Differential Geometry John Wiley, USA (1969)