ON GIBBS-PHENOMENON-FREE FOURIER SOLUTION FOR FINITE SHEAR-FLEXIBLE LAMINATED CLAMPED CURVED PANELS

A hitherto unavailable analytical solution to the boundary-value probl em of static response and free vibration of a rigidly clamped arbitrar ily laminated (of which symmetric/antisymmetric cross-ply and angle-pl y laminations are special cases) shear-flexible doubly-curved shell of rectangular planform is presented. A boundary-continuous-displacement based double Fourier series approach, designed to avoid Gibbs phenome non, is developed to solve the boundary-value problems, involving five highly coupled linear partial differential equations with constant co efficients, resulting from Sanders' FSDT (first-order shear deformatio n theory)-based formulation that also includes surface-parallel and ro tatory inertias. Extensive numerical results that are presented in thi s study include (i) convergence characteristics of computed deflection s, moments and natural frequencies, and (ii) effects of length-to-thic kness ratio, radius-to-length ratio, fiber orientation angle, laminati on sequence and shell geometry on the response quantities of interest. Also investigated is the highly complex interaction among bending-str etching type coupling effect, membrane action due to shell curvature, and the effects of transverse shear deformation, rotatory inertias and surface-parallel inertias. Additionally, these results are used in as sessing the accuracy of their recently obtained FSDT-based boundary-di scontinuous counterparts.