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RESEARCH PAPERS: Mechanisms Papers

Application of Linear and Nonlinear Graphs in Structural Synthesis of Kinematic Chains

[+] Author and Article Information
M. Huang, A. H. Soni

School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, Okla.

J. Eng. Ind 95(2), 525-532 (May 01, 1973) (8 pages) doi:10.1115/1.3438186 History: Received July 06, 1972; Online July 15, 2010

Abstract

Using graph theory and Polya’s theory of counting, the present paper performs structural synthesis and analysis of planar and three-dimensional kinematic chains. The Section 2 of the paper develops a mathematical model that permits one to perform structural analysis and synthesis of planar kinematic chains with kinematic elements such as revolute pairs, cam pairs, springs, belt-pulley, piston-cylinder, and gears. The theory developed is applied to enumerate eight-link kinematic chains with these kinematic elements. The Section 3 of the paper develops a mathematical model that permits one to perform structural analysis and synthesis of multi-loop spatial kinematic chains with higher and lower kinematic pairs. The theory developed is applied to enumerate all possible two-loop kinematic chains with or without general constraints.

Copyright © 1973 by ASME
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