Nonlinear Vibration of Thin Plates.
IOWA UNIV IOWA CITY DEPT OF MECHANICS AND HYDRAULICS
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Nonlinear analysis of the vibration of thin plates considering in-plane motion, is investigated. The coupled nonlinear differential equations are fully hyperbolic if strains are tensile. The one dimensional case is investigated by exact and approximate methods. All approximate results are consistent in period, which is a function of amplitude.