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.
Skip Nav Destination
Article navigation
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.
Search for other works by this author on:
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
Download citation file:
Get Email Alerts
Cited By
Hybrid Kinematic-dynamic Sideslip and Friction Estimation
J. Dyn. Sys., Meas., Control
Koopman Model Predictive Control of an Integrated Thermal Management System for Electric Vehicles
J. Dyn. Sys., Meas., Control
Electromagnetic Model of Linear Resonant Actuators
J. Dyn. Sys., Meas., Control (May 2023)
Discrete Robust Control of Robot Manipulators Using an Uncertainty and Disturbance Estimator
J. Dyn. Sys., Meas., Control (May 2023)
Related Articles
Quantitative Visualization of the Flow in a Centrifugal Pump With Diffuser Vanes—II: Addressing Passage-Averaged and Large-Eddy Simulation Modeling Issues in Turbomachinery Flows
J. Fluids Eng (March,2000)
Frequency Sweeping With Concurrent Parametric Amplification
J. Dyn. Sys., Meas., Control (March,2012)
Modeling Two-Phase Flow Inside an Electrical Submersible Pump Stage
J. Energy Resour. Technol (December,2011)
Erosive Wear Model of Slurry Pump Impeller
J. Tribol (April,2010)
Related Proceedings Papers
Related Chapters
Concluding Remarks and Future Work
Ultrasonic Welding of Lithium-Ion Batteries
Modeling of SAMG Operator Actions in Level 2 PSA (PSAM-0164)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)
Subsection NCA—General Requirements for Division 1 and Division 2
Companion Guide to the ASME Boiler and Pressure Vessel Code, Volume 1, Third Edition