A New Approach to Conceptual Design Based on Path Decomposition of Digraph

Article Preview

Abstract:

A new approach to conceptual design based on path decomposition of digraph is presented in the paper. The set of basic mechanisms is firstly defined and every single mechanism is taken as a basic element in the set. The relationships among basic elements are described with paths or loops in the graph theory. Therefore, the conceptual design can be visualized as searching a suitable loop in the set of basic mechanisms. The digraph and the path decomposition in the graph theory are applied to represent solutions of conceptual design, such as the sequence, existence and the concatenation formation and repetition. And then, an illation formula is derived and a construction tree of conceptual design process is provided. The generated schemes are further filtered using character restriction operation which followed corresponding rules, so as to identify feasible solutions. Finally, a design example is given to demonstrate the effectiveness of the proposed approach.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

73-78

Citation:

Online since:

March 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2011 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Freudenstein F., Dobrjansky L., On a theory for the type synthesis of mechanisms. Proc. 11th Int. Conf. Applied Mechanics. 420~428 (1964).

Google Scholar

[2] Franke R., Vom Aufbau der Getriebe, Vol. 1, 3rd ed. VDI Verlag (1958).

Google Scholar

[3] DANIEL G. OLSON, ARTHUR G. ERDMAN and DONALD R. RILEY. A systematic procedure ofr type synthesis of mechanisms with literature review. Mechanism and Machine Theory. Vol. 20, No. 4, 285~295 (1985).

DOI: 10.1016/0094-114x(85)90033-3

Google Scholar

[4] Crossley, F.R.E., The Permutations of Kinematic Chains of Eight Members or Less from the Graph-theoretic Viewpoint. Developments in Theoretical and Applied Mechannics, Vol. 2, Pergamon Press Oxford, 467-486, (1965).

Google Scholar

[5] Freudenstein F. and Maki E.R., The Creation of Mechanisms According to Kinematic Structure and Function. Envirment and Planning, Volume 6, 375-391, (1979).

DOI: 10.1068/b060375

Google Scholar

[6] Kannapan S. and K. M. Marshek, An Algebraic and Predicate Logic Approach to Representation and Reasoning in Machine Design. Mechanism and Machine Theory 25 (1990),335-353.

DOI: 10.1016/0094-114x(90)90033-g

Google Scholar

[7] Shean-Juinn Chiou, Sridhar Kota. Automated conceptual design of mechanisms. Mechanism and Machine Theory 34 (1999),467-495.

DOI: 10.1016/s0094-114x(98)00037-8

Google Scholar

[8] Yong-Mo Moon, KOTA S. Automated synthesis of mechanism using dual-vector algebra. Mechanism and Machine Theory,2002,37(2):143~166.

DOI: 10.1016/s0094-114x(01)00073-8

Google Scholar

[9] Gary Chartrand and Linda Lesniak. GRAPHS & DiGRAPHS, Second Edition. Wadsworth & Brooks / Cole Advanced Books & Software, Monterey, California. (1979).

Google Scholar