A NEW ISOMORPHISM INDEX AND ITS APPLICATIONS TO KINEMATIC CHAINS AND MECHANISMS

Proceedings of the ASME Design Engineering Technical Conference

Volumn 7A, Issue , 2000, Pages 65-74

  Vijayananda, K ^a   Mruthyunjaya, T S ^b  

^a Deldot Systems Ltd   (India)

^b INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

CHAINS; KINEMATICS; SET THEORY;

COMPUTATIONAL TESTS; DISCRETE STEP; DRIVING MECHANISM; ITS APPLICATIONS; KINEMATIC CHAIN; KINEMATIC MECHANISM; NOVEL METHODS; VISUAL COMPARISON;

DIGITAL COMPUTERS;

EID: 78649243397     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2000/MECH-14055     Document Type: Conference Paper

References (25)

1. Uicker, J. J. and Raicu A., "A Method for the Identification of and Recognition of Equivalence of Kinematic Chains", Mech. and Mach. Theory, vol.10, 1975, pp.375-383.
2. Turner, J., "Generalized Matrix Functions and Graph Isomorphism Problem", SIAM J of Applied Mathematics, vol.16, 1968, pp.520-526.
3. Read, R. C. and Corneil, D. G., "The Graph Isomorphism Disease", J of Graph Theory, vol.1, 1977, pp.339-363.
4. Read, R. C„ "The Coding of Various Kinds of Unlabelled Trees", In Read, R. C., ed„ Graph Theory and Computing, Academic Press, New York, 1972, pp.153-182.
5. Godsil, C. and McKay, B., "Some Computational Results on the Spectra of Graphs", In Dold, A. and Eckmann, B., ed., Lecture Notes in Mathematics, Combinatorial Mathematics, vol.IV, Springer Verlag, Berlin, 1975, pp.73-92.
6. Mruthyunjaya, T. S. and Raghavan, M. R., "Structural Analysis of Kinematic Chains and Mechanisms Based on Matrix Representation", ASME J of Mech. Design, vol.101, 1979, pp.488-494.
7. Mruthyunjaya, T. S., "A Computerized Methodology for Structural Synthesis of Kinematic Chains: Part 1- Formulation", Mech. and Mach. Theory, vol.19, 1984, pp.487-495.
8. Yan, H. S. and Hwang, W. M., "A Method for the Identification of Planar Linkage Chains", ASME J Mechanisms, Transmissions and Automation in Design, vol.105, 1983, pp.658-662.
9. Mruthyunjaya, T. S. and Balasubramanian, H. R., "In Quest of a Reliable and Efficient Computational Test for Detection of Isomorphism in Kinematic Chains", Mech. and Mach. Theory, vol.22, 1987, pp.131-139.
10. Ambekar, A. G. and Agrawal, V. P., "Canonical Numbering of Kinematic Chains and Isomporphism Problem: min code", Mech. andMach. Theory, vol.22, 1987, pp.453-461.
11. Tang, C. S. and Liu, T„ "The Degree Code - A New Mechanism Identifier", ASME J of Mech. Design, vol.115, 1993, pp.627-630.
12. Shin, J. K. and Krishnamurthy, S., "On Identification and Canonical Numbering of Pin Jointed Kinematic Chains", ASME J of Mech. Design, vol. 116, 1994, pp. 182-188.
13. Hwang, W. M. and Hwang, Y. W., "Computer Aided Structural Synthesis of Planar Kinematic Chains With Simple Joints", Mech. and Mach. Theory, vol.27, 1992, pp. 189- 199.
14. Agrawal, V. P. and Rao, J. S., "Identification of Multi-loop Kinematic Chains and Mechanisms", J of Institution of Engineers( India), ME, vol.66, 1985, pp.6-11.
15. Agrawal, V. P. and Rao, J. S., "Identification and Isomorphism of Kinematic Chains and Mechanisms", Mech. and Mach. Theory, vol.24, 1989, pp.309-321.
16. Rao, A. C., "Kinematic Chains: Isomorphism, Inversions and Type of Freedom Using the Concept of Hamming Distance", Indian J of Technology, vol.26, 1988, pp.105-109.
17. Rao, A. C. and Varadaraju, D., "Application of the Hamming Number Technique to Detect Isomorphism Among Kinematic Chains and Inversions", Mech. and Mach. Theory, vol.26, 1991, pp.55-75.
18. Rao, A.C. and Rao, C. N., "Loop Based Pseudo Hamming Values -I: Testing Isomorphism and Rating of Kinematic Chains", Mech. and Mach. Theory, vol.28, 1993, pp.113- 127.
19. Fang, W. E. and Freudenstein, F„ "The Stratified Representation of Mechanisms ", ASME J of Mech. Design, vol. 112, 1990, pp.514-519.
20. Kim, J. T. and Kwak, B. M., "An Algorithm of Topological Ordering for Unique Representation of Graphs", ASME J of Mech. Design, vol.114, 1992, pp. 103-108.
21. Chu, J. K. and Wei-Quing, Cao., "Identification of Isomorphism Among Kinematic Chains and Inversions Using Link's Adjacent Chain Table", Mech. and Mach. Theory, vol.29, 1994, pp.53-58.
22. Yan, H. S. and Hwang, W. M„ "Linkage Path Code", Mech. and Mach. Theory, vol.19, 1984, pp.425-429.
23. Yadav, J. N., Pratap, C. R. and Agrawal, V. P., "Detection of Isomorphism Among Kinematic Chains Using the Distance Concept" ASME J of Mech. Design, vol.117, 1995, pp.607- 611.
24. Tuttle, E. R., "Generation of Planar Kinematic Chains", Mech. and Mach. Theory, vol.31, 1996, pp.729-748.
25. Mruthyunjaya, T. S., and Raghavan, M. R., "Computer Aided Analysis of the Structure of Kinematic Chains", Mech. and Mach. Theory, vol.19, 1984, pp.357-368.