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TECHNICAL PAPERS

On the Application of Kinematic Units to the Topological Analysis of Geared Mechanisms

[+] Author and Article Information
Chia-Pin Liu, Dar-Zen Chen

Department of Mechanical Engineering National Taiwan University Taipei, Taiwan 10660 R. O. China

J. Mech. Des 123(2), 240-246 (Jan 01, 2000) (7 pages) doi:10.1115/1.1352022 History: Received January 01, 2000
Copyright © 2001 by ASME
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References

Erdman, A. G., and Sandor, G. N., 1991, Mechanism Design: Analysis and Synthesis, Vol. 1, Prentice-Hall, Englewood Cliffs, NJ.
Freudenstein,  F., 1971, “An Application of Boolean Algebra to The Motion of Epicyclic Drives,” ASME J. Eng. Ind., 93, Series B, pp. 176–182.
Tsai,  L. W., 1987, “An Application of the Linkage Characteristic Polynomial to the Topological Synthesis of Epicyclic Gear Trains,” ASME J. Mech., Transm., Autom. Des., 109, No. 3, pp. 329–336.
Tsai,  L. W., and Lin,  C. C., 1989, “The Creation of Non-fractionated Two-Degree-of-Freedom Epicyclic Gear Trains,” ASME J. Mech., Transm., Autom. Des., 111, pp. 524–529.
Olson,  D. G., Erdman,  A. G., and Riley,  D. R., 1991, “Topological Analysis of Single-Degree-of-Freedom Planetary Gear Trains,” ASME J. Mech. Des., 113, pp. 10–16.
Hsu,  C. H., and Lin,  Y. L., 1994, “Automatic Analysis of the Redundant Gears in Planetary Gear Trains,” Int. J. Veh. Des., 15, No. 5, pp. 402–415.
Liu, C. P. and Chen, D. Z., 1999, “On the Embedded Kinematic Fractionation of Epicyclic Gear Trains,” submitted to ASME Journal of Mechanical Design, Proceedings of the 1999 ASME Design Engineering Technical Conference, Paper No. DETC99/DAC-8660.
Freudenstein,  F., 1972, “Kinematics and Statics of a Coupled Epicyclic Spur-Gear Train,” Mech. Mach. Theory, 7, pp. 263–275.
Davies,  T. H., 1968, “An Extension of Manolescu’s Classification of Planar Kinematic Chains and Mechanisms of mobility M≥1, Using Graph Theory,” J. Mec., 3, pp. 87–199.

Figures

Grahic Jump Location
Graph 1400-1-7. (a) the functional representation; (b) the structural graph; (c) the displacement graph; (d) the KUs
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A typical KU with connected heavy-edged path
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Graph 1400-1-4. (a) the structural graph; (b) the displacement graph; (c) the separated displacement graph; (d) the KUs.
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Graph 6201-2. (a) the structural graph; (b) the KUs; (c) an admissible mechanism configuration
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Graph 4-1-1. (a) the structural graph; (b) the KUs; (c) an admissible mechanism configuration

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