The Properties of Bond Graph Junction Structure Matrices

[+] Author and Article Information
J. R. Ort

Calspan Corporation, Buffalo, N. Y.

H. R. Martens

Department of Mechanical Engineering, SUNY at Buffalo, Buffalo, N. Y.

J. Dyn. Sys., Meas., Control 95(4), 362-367 (Dec 01, 1973) (6 pages) doi:10.1115/1.3426736 History: Received May 22, 1973; Online July 13, 2010


Some fundamental theorems concerning the relationship between the junction structure of bond graphs and the effort and flow equations, are presented. Necessary and sufficient conditions are stipulated to guarantee the correct number of constraint equations. The structure and rank of the coefficient matrices of the effort and flow equations are examined. An orthogonality relationship between effort and flow equations is established. The development yields the result that the number of effort and flow equations corresponding to a causal assignment are sufficient and their coefficient matrices are of maximum rank.

Copyright © 1973 by ASME
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