Topological Synthesis of Fractionated Geared Differential Mechanisms

[+] Author and Article Information
Dar-Zen Chen, Kang-Li Yao

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 106 R.O.C

J. Mech. Des 122(4), 472-478 (Nov 01, 1998) (7 pages) doi:10.1115/1.1289770 History: Received November 01, 1998
Copyright © 2000 by ASME
Topics: Mechanisms , Gears , Equations
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Hirose, S., 1986, “Connected Differential Mechanism and Its Applications,” Robot Grippers, Bedford, IFS, pp. 142–153.
Yan,  H. S., and Hsieh,  L. C., 1994, “Conceptual Design of Gear Differentials for Automotive Vehicles,” ASME J. Mech. Des., 116, pp. 565–570.
Hsu,  C. H., and Wu,  Y. C., 1998, “A Methodology for Systematic Synthesis of Two-DOF Gear Differentials,” JSME Int. J., Ser. C, 41, No. 2, pp. 299–306.
Kota,  S., and Bidare,  S., 1997, “Systematic Synthesis and Applications of Novel Multi-Degree-of-Freedom Differential Systems,” ASME J. Mech. Des., 119, pp. 284–291.
Lin,  C. C., and Tsai,  L. W., 1989, “The Creation of Non-Fractionated Two Degree-of Freedom Epicyclic Gear Train,” ASME J. Mech., Transm., Autom. Des., 111, pp. 524–529.
Freudenstein,  F., 1972, “Kinematics and Statics of a Coupled Epicyclic Spur-Gear Train,” Mech. Mach. Theory, 7, pp. 263–275.
Freudenstein,  F., 1971, “An Application of Boolean Algebra to the Motion of Epicyclic Drives,” ASME J. Eng. Ind., Series B, 93, pp. 176–182.
Tsai,  L. W., 1987, “An Application of the Linkage Characteristics Polynomial to the Topological Synthesis of Epicyclic Gear Trains,” ASME J. Mech., Transm., Autom. Des., 109, No. 3, pp. 329–336.
Hsu, C. H., 1992, “An Application of Generalized Kinematic Chains to the Structural Synthesis of NonFractionated Epicyclic Gear Trains,” ASME Pro. Mechanical Design and Synthesis, DE-Vol. 46, pp. 451–458.
Chatterjee, G., and Tsai, L. W., 1994, “Enumeration of Epicyclic-Type Automatic Transmission Gear Trains,” SAE Paper 941012.


Grahic Jump Location
The standard 2-dof GDM. (a) Functional representation; (b) pseudo-isomorphic graph representation.
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Admissible ICs with up to 4 links
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Admissible 3-port MCs with up to 7 links. (a) 4-link; (b) 5-link; (c) 6-link; (d) 7-link.
Grahic Jump Location
Admissible 4-port MC with up to 8 links
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Admissible 3-terminal fractionated GDMs with up to 7 links. (a) 5-link; (b) 6-link; (c) 7-link.
Grahic Jump Location
Admissible 4-terminal fractionated GDM with up to 9 links
Grahic Jump Location
Innovative 3-terminal link-fractionated GDMs.



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