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RESEARCH PAPERS

Delay-Bond Graph Models for Geared Torsional Systems

[+] Author and Article Information
N. T. Tsai

General Dynamics, Electronics Division, San Diego, Calif.

S. M. Wang

IBM Research Center, Yorktown Heights, N. Y.

J. Appl. Mech 41(2), 366-370 (Jun 01, 1974) (5 pages) doi:10.1115/1.3423295 History: Received March 01, 1973; Revised May 01, 1973; Online July 12, 2010

Abstract

The dynamic responses of geared torsional systems are analyzed with the delay-bond graph technique. By transforming the power variables into torsional wave variables, the torsional elements are modeled as transmission line elements. The nonlinear elements, e.g., varying tooth stiffness, gear-tooth backlash, and nonlinear damping, are incorporated into the ideal transmission line element. A computational algorithm is established where the state variables of the system are expressed in terms of wave scattering variables and the dynamic responses are then obtained in both time and space domains. The simulation results of several simple examples of linear and nonlinear geared torsional systems are presented to demonstrate the feasibility of this algorithm.

Copyright © 1974 by ASME
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