On Dynamic Stability And Nonlinear Modal Interaction Of Parametrically-Excited Rectangular Plates

The authors review recent developments on the dynamic stability and nonlinear parametric vibrations of general rectangular plates. Emphasis is placed on nonlinear modal interaction in parametrically excited plates and various types of resonances are investigated. Analytical predictions are compared to experimental data to form a qualitative and quantitative verification of the solutions. Experimental results indicate that the presence of initial geometric imperfections can modify considerably the dynamic behavior of the plate and produce various types of resonances highly unpredictable beforehand and differing from those generally assumed in analytical studies