This paper derives the generalized surface equation for cylindrical, conical, and hyperbolic meshing turret-rollers. Based on the generalized equation of meshing turret-rollers, generalized mathematical expressions of surface geometry for globoidal cams with cylindrical, conical, and hyperbolic meshing turret-rollers are derived using theory of conjugate surfaces, differential geometry, and coordinate transformation. A design example is presented for demonstrating procedures of surface generating of the globoidal cam. The result of this work is necessary for the computer-aided design and manufacturing of roller gear cams for industrial applications.
Issue Section:
Research Papers
1.
Borisov
V. D.
1984
, “Computer-Aided Design of Cylinder Cams
,” Stanki Instrument
, Vol. 55
, Issue 8, pp. 7
–9
.2.
Chakraborty, J., and Dhande, S. G., 1977, Kinematics and Geometry of Planar and Spatial Cam Mechanisms, Wiley, New York.
3.
Chen, C. H., 1979, “Boundary Curves, Singular Solution, Complementary Conjugate Surfaces,” Proceedings of the 5th World Congress on Theory of Machines and Mechanisms, Montreal, Canada, pp. 1478–1481.
4.
Chen, C. H., 1981, “A-3 Tooth Form of PK Conjugate—A New Design Concept for Gear Tooth Form,” Proceedings of the International Symposium on Gearing and Power Transmissions, Tokyo, pp. 11–15.
5.
Chen, C. H., 1985, Fundamentals of the Theory of Conjugate Surfaces (in Chinese), Science Publishers, Beijing.
6.
Denavit
J.
Hartenberg
R. S.
1955
, “A Kinematic Notation for Lower Pair Mechanisms Based on Matrices
,” ASME Journal of Applied Mechanics
, Vol. 22
, No. 2
, pp. 215
–221
.7.
Dhande
S. G.
Bhadoria
B. S.
Chakraborty
J.
1975
, “A Unified Approach to the Analytical Design of Three-Dimensional Cam Mechanisms
,” ASME Journal of Engineering for Industry
, Vol. 97
, pp. 327
–333
.8.
Gonzalez-Palacios, M. A., and Angeles, J., 1993, Cam Synthesis, Kluwer Academic Publishers, Dordrecht.
9.
Litvin
F. L.
1968
, “The Synthesis of Approximate Meshing for Spatial Gears
,” J. Mechanisms
, Vol. 4
, pp. 187
–191
.10.
Litvin, F. L., 1989, “Theory of Gearing,” NASA, Washington, D.C.
11.
Oizumi, T., and Emura, T., 1992, “A Globoidal-Cam Type Gearing,” Proceedings of the 1992 International Power Transmission and Gearing Conference, pp. 535–541.
12.
Weatherburn, C. E., 1955, Differential Geometry of Three Dimensions, Cambridge University Press, London.
13.
Yan
H. S.
Chen
H. H.
1994
, “Geometry Design and Machining of Roller Gear Cams with Cylindrical Rollers
,” Mechanism and Machine Theory
, Vol. 29
, No. 6
, pp. 803
–812
.
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