LARGE-AMPLITUDE RESPONSE OF LAYERED CIRCULAR PLATES

This paper deals with the Chebyshev series solution technique to the nonlinear static and dynamic response of cylindrically orthotropic, symmetrically laminated, cross-ply moderately thick plates. Considering the transverse shear and rotatory inertia, the governing equations of motion for the axisymmetric deformation of circular plates are expressed in terms of normal deflection (W) over bar, slope <(phi)over bar>, and the stress function <(psi)over bar>. The effects of transverse shear, rotatory inertia, material properties, number of layers, and boundary conditions on static and dynamic response of plates to uniformly distributed normal loads are studied, and the results are shown graphically. The effects of transverse shear and rotatory inertia on the central response are greatly influenced by the ratio of base radius to thickness, the materials, and the type of loadings.