The problem of deriving a suitable mathematical model for complex devices is discussed. A small vibratory air pump is used as the medium of presentation. The modeling process begins with the basic coupling structure of the device. In a logical step-by-step procedure the initial model is built up to satisfy a number of functional considerations inherent to the device, such as the resonance behavior, input impedance, output impedance, and internal dissipation. At each step in the modeling process the completeness and suitability of the model is examined. Bond graphs drawn for the successively larger and more complex model clearly predict the shortcomings of the partial model and point the way to the next step. It is evident that the principle of causal relations forms a most important guiding element in the modeling process. The final model is in the form of a set of linear state equations, and scaling of the A-matrix indicates the relative importance of parameters when experimental values are substituted for literals.
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September 1972
Research Papers
A Logical Procedure for the Construction of Bond Graphs in Systems Modeling
H. R. Martens,
H. R. Martens
Electrical and Mechanical Engineering, State University of New York at Buffalo, Buffalo, N. Y.
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A. C. Bell
A. C. Bell
Mechanical Engineering, State University of New York at Buffalo, Buffalo, N. Y.
Search for other works by this author on:
H. R. Martens
Electrical and Mechanical Engineering, State University of New York at Buffalo, Buffalo, N. Y.
A. C. Bell
Mechanical Engineering, State University of New York at Buffalo, Buffalo, N. Y.
J. Dyn. Sys., Meas., Control. Sep 1972, 94(3): 183-188 (6 pages)
Published Online: September 1, 1972
Article history
Received:
April 25, 1972
Online:
July 13, 2010
Citation
Martens, H. R., and Bell, A. C. (September 1, 1972). "A Logical Procedure for the Construction of Bond Graphs in Systems Modeling." ASME. J. Dyn. Sys., Meas., Control. September 1972; 94(3): 183–188. https://doi.org/10.1115/1.3426587
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