Enumeration of 1-DOF planetary gear train graphs based on functional constraints

Journal of Mechanical Design

Volumn 124, Issue 4, 2002, Pages 723-732

  Del Castillo, Jose M ^a  

^a UNIVERSITY OF EXTREMADURA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CONSTRAINT THEORY; DEGREES OF FREEDOM (MECHANICS); MATRIX ALGEBRA; PROBABILITY; SHAFTS (MACHINE COMPONENTS);

FUNCTIONAL CONSTRAINTS; GEAR TRAINS; ISOMORPHISM;

SPUR GEARS;

EID: 0036936715     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1514663     Document Type: Article

References (14)

1. Buchsbaum, F., and Freudenstein, F., 1970, "Synthesis of Kinematic Structure of Geared Kinematic Chains and other Mechanisms," J. Mech., 5, pp. 357-392.
2. Ravisankar, R., and Mruthyunjaya, T. S., 1985, "Computerized Synthesis of the Structure of Geared Kinematics Chains," Mech. Mach. Theory, 20, pp. 367-387.
3. 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, pp. 329-336.
4. Kim, J. U., and Kwak, B. M., 1990, "Application of Edge Permutation Group to Structural Synthesis of Epicyclic Gear Trains," Mech. Mach. Theory, 25, pp. 563-574.
5. Shin, J. K., and Krishnamurthy, S., 1993, "Standard Code Technique in the Enumeration of Epicyclic Gear Trains," Mech. Mach. Theory, 28, pp. 347-355.
6. Hsu, C. H., and Hsu, J. J., 1997, "An Efficient Methodology for the Structural Synthesis of Geared Kinematic Chains," Mech. Mach. Theory, 32, pp. 957-973.
7. 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.
8. Hsu, C. H., and Lam, K. Y., 1992, "A New Graph Representation for the Automatic Kinematic Analysis of Planetary Spur-Gear Trains," ASME J. Mech. Des., 114, pp. 196-200.
9. Freudenstein, F., 1971, "An Application of Boolean Algebra to the Motion of Epicyclic Drives," ASME J. Ind., 93, pp. 176-182.
10. Gibson, D., and Kramer, S., 1984, "Symbolic Notation and Kinematics Equation of Motion of the Twenty-two Basic Spur Planetary Gear Trains," ASME J. Mech., Transm., Autom. Des., 106, pp. 333-340.
11. Hsu, C. H., and Lam, K. Y., 1993, "Automatic Analysis of Kinematic Structure of Planetary Gear Trains," ASME J. Mech. Des., 115, pp. 631-638.
12. Hsu, C. H., 1994, "Displacement Isomorphism of Planetary Gear Trains," Mech. Mach. Theory, 29, pp. 513-523.
13. Hsu, C. H., and Wu, Y. C., 1997, "Automatic Detection of Embedded Structure in Planetary Gear Trains," ASME J. Mech. Des., 119, 315-318.
14. Mathis, R., and Rémond, Y., 1999, "A New Approach to Solving the Inverse Problem for Compound Gear Trains," ASME J. Mech. Des., 121, pp. 98-106.