Summed and Differential Harmonic Oscillations in a Circular Plate

抄録

Various types of axisymmetric nonlinear forced oscillations are expected to occur in a circular plate subjected to harmonic excitation. The present paper concerns among others the summed and differential harmonic oscillations. Both theoretical and experimental analyses are conducted. The theoretical analysis, based on the von Karman equations, reveals that the oscillations can occur when the linearized natural frequencies p_n(n=1, 2, 3, ...) and the excitation frequency ω satisfy one of the following conditions : ω≒p_i+p_j, ω≒2p_i+p_j, or 2ω≒p_i+p_j The characteristics of the oscillations for each of these cases are obtained. The experimental analysis, performed by use of a steel plate, also ascertains the occurrence of the oscillations for all the cases predicted by the theory. The characteristics of the oscillations obtained by the theory and experiment are found to agree reasonably.