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TECHNICAL PAPERS

Producing Follower Motions Through Their Digitized Cam Contours

[+] Author and Article Information
Der-Min Tsay, Meng-Hung Huang, Hui-Chun Ho

Department of Mechanical Engineering, National Sun Yat-Sen University, Kaohsiung 80424 Taiwan

J. Comput. Inf. Sci. Eng 2(2), 98-105 (Sep 25, 2002) (8 pages) doi:10.1115/1.1505852 History: Revised July 01, 2001; Received August 01, 2001; Online September 25, 2002
Copyright © 2002 by ASME
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References

Chen, F. Y., 1982, Mechanics and Design of Cam Mechanisms, Pergamon Press, New York.
MacCarthy,  B. L., and Burns,  N. D., 1985, “An Evaluation of Spline Functions for Use in Cam Design,” IMechE Journal of Mechanical Engineering Science, 199(C5), pp. 239–248.
Tsay,  D. M., and Huey,  C. O., 1993, “Application of Rational B-splines to the Synthesis of Cam-Follower Motion Programs,” ASME J. Mech. Des., 115, pp. 621–626.
Reeve, J., 1995, Cams for Industry, Mechanical Engineering Publications, London.
Hanson,  D. R. S., and Churchill,  F. T., 1962, “Theory of Envelope Provides New Cam Design Eqs,” Prod. Eng. (N.Y.), Aug. 20, pp. 45–55.
Chakraborty, J., and Dhande, S. G., 1977, Kinematics and Geometry of Planar and Spatial Cam Mechanisms, Wiley Eastern Limited, New Delhi.
Tsay,  D. M., and Wei,  H. M., 1996, “A General Approach to the Determination of Planar and Spatial Cam Profiles,” ASME J. Mech. Des., 118, pp. 259–264.
Tsay,  D. M., and Lin,  B. J., 1997, “Design and Machining of Globoidal Index Cams,” ASME J. Manuf. Sci. Eng., 119, pp. 21–19.
Kim,  H. R., and Newcombe,  W. R., 1978, “Stochastic Error Analysis in Cam Mechanisms,” Mech. Mach. Theory, 13, pp. 631–641.
Rao,  S. S., and Gavane,  S. S., 1982, “Analysis and Synthesis of Mechanical Error in Cam-Follower Systems,” ASME J. Mech. Des., 104, pp. 52–62.
Giordana,  F., and Rognoni,  V., 1979, “On the Influence of Measurement Errors in the Kinematic Analysis of Cams,” Mech. Mach. Theory, 14, pp. 327–340.
Kim,  H. R., and Newcombe,  W. R., 1982, “The Effect of Cam Profile Errors and System Flexibility on Cam Mechanism Output,” Mech. Mach. Theory, 17, pp. 57–72.
Angeles, J., and Lopez-Cajun, C. S., 1991, Optimization of Cam Mechanisms, Kluwer Academic Publishers, Dordrecht.
Leitz, W., 1988, QUINDOS, Frankfurt am Main, Germany.
de Boor,  C., 1972, “On Calculating with B-splines,” J. Approx. Theory 6, pp. 50–62.
Cox,  M. G., 1972, “The Numerical Evaluation of B-splines,” J. Inst. Math. Appl. 10, pp. 15–25.
de Boor, C., 2001, A Practical Guide to Splines, Rev. ed., Springer-Verlag, New York.
Rogers D. F., and Adams, J. A., 1990, Mathematical Element for Computer Graphics, McGraw- Hill, New York.
Korn, G. A., and Corn, T. M., 1968, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York.
Tsay,  D. M., and Hwang,  G. S., 1996, “The Synthesis of Follower Motions of Camoids Using Nonparametric B-splines,” ASME J. Mech. Des., 118, pp. 138–143.
Butterfield,  K. R., 1976, “The Computation of all the Derivatives of a B-spline Basis,” J. Inst. Math. Appl., 17, pp. 15–25.
Saux,  E., and Daniel,  M., 1999, “Data Reduction of Polygonal Curves Using B- splines,” Computer-Aided Design, 31, pp. 507–515.

Figures

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Geometric relationships between cam and its follower
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Cam with oscillating roller-follower
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Cam with oscillating flat-faced follower
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Follower displacements in numerical example
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Follower velocities in numerical example
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Follower accelerations in numerical example
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Theoretical cam contour in numerical example
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Displacement error in numerical example
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Velocity error in numerical example
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Acceleration error in numerical example
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Conjugate indexing cam mechanism
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Follower displacements in application example
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Follower velocities in application example
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Follower accelerations in application example
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Displacement error in application example
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Velocity error in application example
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Acceleration error in application example

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