Dynamic analysis of parametrically excited laminated composite curved panels under non-uniform edge loading with damping

The present work deals with the problem of the occurrence of combination resonances in parametrically excited simply supported laminated composite doubly curved panels under non-uniform edge loading. The first-order shear deformation theory is used to model the panels, considering the effects of transverse shear deformation and rotary inertia. Finite element technique is applied for obtaining the non-uniform stress distribution within the curved panels. The method of multiple scale is used to derive the analytical expressions for the instability regions. It is shown that, besides the principal instability region at Ω = 2ω1, other cases of Ω = ωm + ωn, related to other modes, can be of major importance and yield a significantly enlarged instability regions. The effects of non-uniform loading, damping, number of layers, orthotropy, thickness and the static load factor on the dynamic instability behavior of the simply supported laminated composite curved panels are studied. The results show that under localized edge loading, combination resonance zones are as important as simple resonance zones. The effects of damping show that there is finite critical value of dynamic load factor for each instability region below which the curved panels cannot become unstable.