VIBRATION OF DOUBLY-CURVED SHALLOW SHELLS

This paper presents the free vibration of thin doubly-curved shallow s hells of rectangular planform. The study covers wide combinations of f ree, simply supported and clamped boundary conditions. Both positive a nd negative Gaussian curvatures (spherical and hyperbolic paraboloidal shells resepectively) are considered. The pb-2 Ritz energy based appr oach, along with the in-plane and transverse deflections assumed in th e form of a product of mathematically complete two-dimensional orthogo nal polynomials and a basic function, is employed to model the vibrato ry characteristic of these shells. Numerical results have been establi shed through convergence study and comparison with published data from the open literature. Extensive sets of new results for various ranges of aspect ratio, curvature ratio and x- and y- shallowness ratios hav e been presented for future reference.