A Topological Approach to the Dynamic Simulation of Articulated Machinery

Author:

Richard M. J.1,Bindzi I.1,Gosselin C. M.1

Affiliation:

1. Department of Mechanical Engineering, Universite´ Laval, Ste-Foy, Que´bec, Canada G1K 7P4

Abstract

This article presents a method for deriving the equations describing the motion of tree-structured mechanical systems of n rigid bodies linked to one another by spherical, universal and/or rotational joints. The dynamic and kinematic equations are formulated on the basis of the vector-network model. The vector-network approach is a mathematical model for the systematic development of nonlinear equations describing the motion of a system of rigid bodies interconnected by kinematic joints. The entire procedure of the vector-network is an application of the basic concepts of graph theory in which laws of dynamics have been integrated.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference23 articles.

1. Richard, M. J., 1985, “Dynamic Simulation of Constrained Three-Dimensional Multi-Body Systems Using Vector-Network Techniques,” Ph.D. Thesis, Queen’s University, Kingston, Ontario.

2. Sheth P. N. , and UickerJ. J., 1972, “IMP (Integrated Mechanisms Program), A Computer-Aided Design Analysis System for Mechanisms and Linkage,” ASME Journal of Engineering for Industry, Vol. 94, p. 454454.

3. Orlandea, N., 1973, “Node-Analogous, Sparsity-Oriented Methods for Simulation of Mechanical Dynamic Systems,” Ph.D. Thesis, University of Michigan, Ann Arbor, Mich.

4. Orlandea N. , ChaceM. A., and CalahanD. A., 1977, “A Sparsity Oriented Approach to the Dynamic Analysis and Design of Mechanical Systems—Part 1,” ASME Journal of Engineering for Industry, Vol. 99, p. 773773.

5. ADAMS Users Manual, 1989, Mechanical Dynamics Incorporated, 2301 Commonwealth Blvd., Ann Arbor, Michigan 48105, Nov.

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