Alternative Bond Graph Causal Patterns and Equation Formulations for Dynamic Systems

[+] Author and Article Information
Dean Karnopp

University of California, Davis, Calif. 95616

J. Dyn. Sys., Meas., Control 105(2), 58-63 (Jun 01, 1983) (6 pages) doi:10.1115/1.3149645 History: Received February 15, 1982; Online July 21, 2009


Given mathematical models of components of a system, the equations for the system can be formulated in a number of distinct ways. Bond graphs provide a convenient explicit way to study the interactions among component models and the system equation formulations which follow from the various ways in which input-output causality can be assigned. Three means of causality assignment are compared: an all-integral method, an all derivative method, and a Lagrange-equation procedure. Some interesting differences among the procedures occur when fields (dependent state variables) or nonlinear junction structures (geometric nonlinearities) are present in the system model.

Copyright © 1983 by ASME
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