Computer aided detection of isomorphism among binary chains using the link-link multiplicity distance concept

A new invariant, called the arranged sequence of total multiplicity distance ranks of all the links (ASTMDRL), has been developed for a binary chain. This invariant is derived from the link-link multiplicity distance matrix of a chain, defined in the present paper, in which multiplicities of all the joints of a chain are taken into consideration, with a view to enhance the discriminating ability of the new invariant. Based on this invariant, a computer aided method has been developed for detecting isomorphism among planar binary chains.

[1]  F. Freudenstein,et al.  An application of graph theory and nonlinear programming to the kinematic synthesis of mechanisms , 1991 .

[2]  Hong-Sen Yan,et al.  Linkage path code , 1984 .

[3]  T. S. Mruthyunjaya.  A computerized methodology for structural synthesis of kinematic chains: Part 2— Application to several fully or partially known cases , 1984 .

[4]  N. Manolescu,et al.  A method based on Baranov Trusses, and using graph theory to find the set of planar jointed kinematic chains and mechanisms , 1973 .

[5]  Hong-Sen Yan,et al.  The specialization of mechanisms , 1991 .

[6]  T. S. Mruthyunjaya.  A computerized methodology for structural synthesis of kinematic chains: Part 3— application to the new case of 10-link, three- freedom chains , 1984 .

[7]  A. C. Rao,et al.  Application of the hamming number technique to detect isomorphism among kinematic chains and inversions , 1991 .

[8]  T. S. Mruthyunjaya.  A computerized methodology for structural synthesis of kinematic chains: Part 1— Formulation , 1984 .

[9]  Wen Miin Hwang,et al.  Computer-aided structural synthesis of planar kinematic chains with simple joints , 1992 .

[10]  Sanjay G. Dhande,et al.  Computer-aided design of work dependent cams for single spindle automats , 1989 .

[11]  T. S. Mruthyunjaya,et al.  In quest of a reliable and efficient computational test for detection of isomorphism in kinematic chains , 1987 .

[12]  Donald R. Riley,et al.  A systematic procedure for type synthesis of mechanisms with literature review literaturbe-sprechung , 1985 .

[13]  J. Uicker,et al.  A method for the identification and recognition of equivalence of kinematic chains , 1975 .

[14]  V. Agrawal,et al.  Canonical numbering of kinematic chains and isomorphism problem: min code , 1987 .

[15]  Hong-Sen Yan.  A methodology for creative mechanism design , 1992 .

[16]  T. S. Mruthyunjaya.  Structural synthesis by transformation of binary chains , 1979 .