The Method of Relaxed Causality in the Bond Graph Analysis of Nonlinear Systems

[+] Author and Article Information
B. J. Joseph

Eastman Kodak Co., Rochester, N.Y.

H. R. Martens

Department of Mechanical Engineering, State University of New York at Buffalo, Buffalo, N. Y.

J. Dyn. Sys., Meas., Control 96(1), 95-99 (Mar 01, 1974) (5 pages) doi:10.1115/1.3426781 History: Received August 17, 1973; Online July 13, 2010


A method is presented for the formulation of mathematical models of nonlinear systems. The method employs as the underlying principle the relaxation of the requirement of explicit causality at 0- and 1-junctions. Instead, causal assignments are made which are consistent with the computing causality of the nonlinear elements, thus leading to causal violations in the conventional sense. A classification of causal violations is identified which provides information useful in the systematic derivation of algebraic equations. A most attractive aspect of the method is the fact that causal relaxation is required only when needed, and only to the extent needed.

Copyright © 1974 by ASME
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