Kinematic Chain Isomorphism Identification Based on Loop-Code

Article Preview

Abstract:

A new method approach is presented to solve isomorphism identification of kinematic chain topology graphs. Kinematic chain topology graphs are depicted with loop-code based on the characteristic of kinematic chain topology graphs. The number of binary links in the limbs of topology graphs is arranged in group according to links with multi points of connection.Although the order of limbs in the groups and the order of links with multi points of connection outside the groups can change, the planar message of topology graphs can not change. Thereby forming loop-code.This representation is straightforward and not affected when drawing modes and labeling ways change in topology graphs.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

3874-3878

Citation:

Online since:

December 2010

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] YAN H S, HALL A S. Linkage characteristic polynomials:Definition,coefficients by inspection[J].ASME J. Mech. Des., 1981, 103(3), pp.578-584.

Google Scholar

[2] UICKER J J, RAICU A. A method for the identification and recognition of equivalence of kinematic chains[J].Mech. Mach. Theory, 1975, 10(5), pp.375-383.

DOI: 10.1016/0094-114x(75)90037-3

Google Scholar

[3] MRUTHYUNJAYA T S. In quest of a reliable and efficient computational test for detection of isomorphism in kinematic chains[J].Mech. Mach. Theory, 1987, 22(2), pp.131-140.

DOI: 10.1016/0094-114x(87)90036-x

Google Scholar

[4] AMBEKAR A G,AGRAWAL VE. Canonical numbering of kinematic chains and isomorphism problem:Min code[J].Mech. Mach. Theory, 1987, 22(5), pp.453-461.

DOI: 10.1016/0094-114x(87)90062-0

Google Scholar

[5] TANG C S, LIU T. The degree code-new mechanism identifier[J].ASME J. Mech. Des., 1993, 115, pp.627-630.

Google Scholar

[6] FANG W E, FREUDENSTEIN F. The stratified representation of mechanisms[J]. J.Mech. Des., ASME Trans., 1990, 112(3), pp.514-519.

Google Scholar

[7] SHIN J K, KRISHANAMURTY S. Development of a standard code for colored graphs and its application to kinematic chains[J]. ASME J. Mech. Des., 1992, 114(1), pp.189-196.

Google Scholar

[8] LUO Jin-jiang, HUANG Mao-lin, WEN Qun. Mechanism knematic Chain Isomorpllism with all-Loop-Link-Join-Martrix[J], Journal of Chongqing University (Natural Science Edition), 2007, Vol(30). pp.6-9.

Google Scholar

[9] CUBILLO J P, WAN Jinbao. Comments Oil mechanism kinematic chain isomorphism identification using adjacent matrices[J]. Mech. Mach. Theory, 2005, 40, pp.131-139.

DOI: 10.1016/j.mechmachtheory.2004.07.004

Google Scholar

[10] HE P R, ZHANG W J, LI Q. A new method for detection of graph isomorphism based on the quadratic form[J].ASME J. Mech. Des., 2003, 125(3), pp.640-642.

DOI: 10.1115/1.1564574

Google Scholar

[11] RAO A C, VARADA R D. Application of the Hamming number technique to detect isomorphism among kinematic chains and inversion[J].Mech. Mach. Theory, 199l, 26(1), pp.55-75.

DOI: 10.1016/0094-114x(91)90022-v

Google Scholar