Nonlinear vibration of circular sandwich plate under the uniform load
The authors derive differential equations which govern axisymmetric large-amplitude free vibrations of circular sandwich plates under static load. Then they formulate a set of nonlinear coupled algebraic and differential eigenvalue equations following the assumed time mode approach. Analytic solutions are presented, and a relation for amplitude, frequency and load for the plates with clamped edge is derived by a modified iteration method. Using these results, the authors investigate the effect of static load on the vibration of plates. The presented method can be applied to annular plates and shells.
axisymmetric large-amplitude free vibrations
scientific article; zbMATH DE number 1490128