A Hierarchical Decomposition Scheme for the Topological Synthesis of Articulated Gear Mechanisms

[+] Author and Article Information
D.-Z. Chen, C.-P. Liu

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 106 R.O.C.

J. Mech. Des 121(2), 256-263 (Jun 01, 1999) (8 pages) doi:10.1115/1.2829452 History: Received October 01, 1997; Revised April 01, 1999; Online December 11, 2007


An efficient methodology for the topological synthesis of articulated gear mechanisms (AGMs) is presented. A hierarchical model is developed to represent the structural topology of an AGM in which sub-systems in the bottom level are used as design primitives. By a proposed partition algorithm, design specifications are decomposed along the model to determine the attributes of the sub-systems in each level. The decomposition results in a composition polynomial that symbolically reveals all structural compositions of desired mechanisms. With the polynomial and the database of design primitives, the number of admissible mechanisms for a given design specification can be derived and all possible graph representations can be efficiently enumerated. Two 3-dof examples are presented for illustration.

Copyright © 1999 by The American Society of Mechanical Engineers
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