Parametric coupling that arises under certain conditions of excitation has been analyzed in an electrical R-L-C circuit that is coupled with a mechanical system through a nonlinear inductance. It is found that high frequency excitation of the electrical circuit can support low frequency oscillation of the mechanical system, the entire process arising through the existence of a low order instability in the coupled system. Approximate methods of analysis are used to show the existence of the instability as well as the form of subsequent motion, and their numerical results are compared with analog computer results. The behavior of the electromechanical system can be shown to be analogous to a similar coupling that can occur between lateral wall vibrations and free surface oscillations of liquid in a partially filled elastic cylinder.
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November 1967
This article was originally published in
Journal of Engineering for Industry
Research Papers
Parametric Coupling in a Nonlinear Electromechanical System
D. D. Kana
D. D. Kana
Department of Mechanical Sciences, Southwest Research Institute, San Antonio, Texas
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D. D. Kana
Department of Mechanical Sciences, Southwest Research Institute, San Antonio, Texas
J. Eng. Ind. Nov 1967, 89(4): 839-847
Published Online: November 1, 1967
Article history
Received:
December 1, 1966
Online:
August 25, 2011
Citation
Kana, D. D. (November 1, 1967). "Parametric Coupling in a Nonlinear Electromechanical System." ASME. J. Eng. Ind. November 1967; 89(4): 839–847. https://doi.org/10.1115/1.3610164
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