Vibration of clamped right triangular thin plates - Accurate simplified solutions

Abstract

Numerical Results and Discussion The numerical applications are carried out for cross-ply spherical shells whose geometrical and material properties are the same for all layers. The transverse deflection presented in the figures is evaluated at (*i,jc2, f) = (0, b/2, ?). Zero initial conditions are assumed. The variations of center deflection with time for antisymmetric cross-ply (0/90) and symmetric cross-ply (0/90/0) laminated spherical caps are shown in Figs. 1 and 2, respectively, for various boundary conditions. It is interesting to note that for SSSS, SSCS, and SSCC boundary conditions the amplitudes are smaller for symmetric cross-ply than for antisymmetric cross-ply laminates, whereas for SSFF, SSFS, and SSFC the amplitudes are higher. Moreover, the first-order (FSDT) and the third-order (HSDT) theories predict almost the same response, whereas the classical theory (CST) differs both in amplitude and phase.