Identifying and counting the number of mechanisms from kinematic chains subject to design constraints

Journal of Mechanical Design

Volumn 128, Issue 5, 2006, Pages 1177-1182

  Yan, Hong Sen ^a   Hung, Chih Ching ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHAINS; COMBINATORIAL MATHEMATICS; DESIGN; KINEMATICS;

COMBINATORIAL THEORY; MATHEMATICAL EXPRESSIONS; NONISOMORPHIC MECHANISMS; PERMUTATION GROUPS; POLYA'S THEORY;

MECHANISMS;

EID: 33748590253     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2218887     Document Type: Article

References (20)

1. Johns0on, R. C., 1965, "Application of Number Synthesis to Practical Problems in Creative Design," ASME Paper No. 65-WA-MD9.
2. Bushsbaum, F., and Freudenstein, F., 1970, "Synthesis of Kinematic Structure of Geared Kinematic Chains and Other Mechanisms," J. Mech., 5, pp. 357-392.
3. Huang, M., and Soni, A. H., 1973, "Application of Linear and Nonlinear Graphs in Structural Synthesis of Kinematic Chains," J. Eng. Ind., 95, pp. 525-532.
4. Freudenstein, F., and Maki, E. R., 1979, "The Creation of Mechanisms According to Kinematic Structure and Function,": J. Environ. Plann. Manage., 6, pp.375-391.
5. Yan, H. S., 1992, "A Methodology for Creative Mechanism Design," Mech. Mach. Theory, 27, pp. 235-242.
6. Johnson, R. C., and Towfigh, K., 1967, "Creative Design of Epicyclic Gear Trans Using Number Synthesis," J. Eng. Ind., 89, pp. 309-314.
7. Manolescu, N. I., and Antonescu, P., 1968, "Structural Synthesis of Planetary Mechanisms Used in Automatic Transmissions," ASME Paper No. 68-MECH-44.
8. Freudenstein, F., 1971, "An Application of Boolean Algebra to the Motion of Epicyclic Drives," J. Eng. Ind., 93, pp. 176-182.
9. Tsai, L. W., 1987, "An Application of Linkage Characteristic Polynomials to the Topological Synthesis of Epicyclic Gear Trains," J. Eng. Ind., 109, pp. 329-336.
10. Yan, H. S., and Hsieh, L. C., 1989, "Concept Design of Planetary Gear Trains for Infinitely Variable Transmissions," Proceeding of 1989 International Conference on Engineering Design, Harrogate, UK, pp, 757-766.
11. Freudenstein, F., and Maki, E. R., 1983, "Development of an Optimum Variable-Stroke Internal-Combustion Engine from the Viewpoint of Kinematic Structure," ASME J. Mech., Transm., Autom. Des., 105, pp. 259-266.
12. Freudenstein, F., and Maki, E. R., 1984, "Kinematic Structure of Mechanisms for Fixed and Variable-Stroke Axial-Piston Reciprocating Machines," J. Eng. Ind., 106, pp. 355-364.
13. Erdman, A. G., and Bowen, J., 1981, "Type and Dimensional Synthesis of Casement Window Mechanisms," Mech. Eng. (Am. Soc. Mech. Eng.), 103, pp. 46-55.
14. Yan, H. S., and Chen, J. J., 1985, "Creative Design of a Wheel Damping Mechanism," Mech. Mach. Theory, 20, pp. 597-600.
15. Dobrjanskyj, L., and Freudenstein, F., 1967, "Some Applications of Graph Theory to the Structural Analysis of Mechanisms," J. Eng. Ind., 89B, pp. 153-158.
16. Freudenstein, F., 1967, "The Basic Concepts of Polya's "Enumeration with Application to the Structural Classification of Mechanisms," J. Mech., 3, pp. 275-290.
17. Freudenstein, F., and Woo, L. S., 1974, "Kinematic Structure of Mechanisms," Basic Questions of Design Theory, North-Holland/ American Elsevier, New York, pp. 241-264.
18. Yan, H. S., and Hwang, Y. M., 1991, "The Specialization of Mechanisms, " Mech. Mach. Theory, 26, pp. 541-551.
19. Liu, C. T., 1968, Introduction to Combinatorial Mathematics, McGraw-Hill, New York.
20. Harary, F., 1969, Graph Theory, Addison-Wesley, Reading, MA.