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RESEARCH PAPERS

Design Propagation in Mechanical Systems: Kinematic Analysis

[+] Author and Article Information
H. Zou, K. A. Abdel-Malek, J. Y. Wang

Center for Computer Aided Design (CCAD) and Department of Mechanical Engineering, The University of Iowa, Iowa City, IA 52242

J. Mech. Des 119(3), 338-345 (Sep 01, 1997) (8 pages) doi:10.1115/1.2826353 History: Received January 01, 1996; Revised May 01, 1997; Online December 11, 2007

Abstract

A broadly applicable formulation for investigating design propagations in mechanisms is developed and illustrated. Analytical criteria in terms of the variations of joint position vectors and orientation matrices for planar and spatial mechanisms are presented. Mechanisms are represented using graph theory and closed loops are converted to a tree-like structure by cutting joints and introducing new constraints. The Jacobian matrix in Cartesian space is then transformed to Joint coordinates space. Two cases are considered: a pair of bodies remain connected by one joint after cutting additional joints and a pair of bodies are disconnected after cutting joints. Using this method, a designer has the ability to study the propagated effect of changing a design variable on the design. The presented formulation is validated through a numerical example of a McPherson strut suspension system. The system is analyzed and an assembled configuration is computed after a change in design.

Copyright © 1997 by The American Society of Mechanical Engineers
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