Signal Flow Graphs for Spatial Gear Trains

[+] Author and Article Information
R. Ma, K. C. Gupta

Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, Illinois 60680

J. Mech. Des 116(1), 326-331 (Mar 01, 1994) (6 pages) doi:10.1115/1.2919367 History: Received January 01, 1992; Online June 02, 2008


Signal flow graphs (SFG) have been applied in many areas such as circuit analysis, controls, mechanical vibrations, statistics, and operations research. They have also been applied to the analysis of planetary gear trains which are planar, i.e., where all of the gear axes are parallel. In this paper, signal flow graphs are applied to spatial planetary gear trains. Some additional terminology and rules which are needed for this important application are developed in this paper and illustrated by examples. The significance of applying SFG to a gear system is that the graph describes the interrelationship among the system variables by linking causes and effects, offers the information about the topology of system connection, and the kinematic equations of motion can be written easily by inspection. In this way, it helps use to visualize and understand spatial gear train systems better.

Copyright © 1994 by The American Society of Mechanical Engineers
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