The influence of moderately large amplitudes on the frequency of vibration for the fundamental mode and some higher modes of the simply supported rectangular plate is established. Plate equations that are valid for the moderately large motions are programmed for solution on the analog computer. The effect of eliminating in-plane motions and accelerations on the system response is quantitatively established. It is shown that frequency ratio versus amplitude ratio is aspect ratio dependent and the study shows how simplifying assumptions made in some previous studies affect this dependence.
Moderately Large Amplitude Plate Vibration Modes
J. C. Kennedy, Jr.
Applied Dynamics and Acoustics Section, Battelle Columbus Laboratories, Columbus, Ohio
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Kennedy, J. C. (April 1, 1980). "Moderately Large Amplitude Plate Vibration Modes." ASME. J. Mech. Des. April 1980; 102(2): 405–411. https://doi.org/10.1115/1.3254759
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