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2 Machine Dynamics Problems

2 2003

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Obtaining State Space Model from Bond Graph Model with Derivative Causality Using Laplace Transform

Antić D., Stanković L., Nikolić V.

Machine Dynamics Problems

2003

Vol. 27, No. 2

5-10

One method for obtaining the state space model from the bond graph model is based on using signal graph as an indirect tool. In case the signal graph nodes are time functions, the direct state space model obtaining is only possible for bond graphs with integral causality. Interposing the Laplace operator "s" into the signal graph is proposed in this paper. Thus, in case of derivative causality presence in the bond graph as well, the necessary transformations of the equations are minimized.

Application of Signal Flow Graph Theory for Obtaining State Space Model from Bond Graph Model with Derivative Causality

Antić D., Stanković L., Danković B., Nikolić V.

Machine Dynamics Problems

2003

Vol. 27, No. 1

5--13

In this paper, a new approach for deriving state space equations from a causal bond graph, in which there is derivative causality as well, on the basis of the equivalent signal flow graph is presented. By following ”the paths of traveling” of two general bond graph variables (the effort e and the flow f) through the causal bond graph, the equivalent signal flow graph is obtained. On the basis of that signal flow graph, a system of equations, in which the first derivatives of the state variables are implicitly expressed, by which the arranging of the state space model is obtained, is formed.