Abstract. Three-dimensional elasticity solutions have been presented for a thick laminated cross-ply circular cylindrical panel. The cylindrical panel is under a dynamic localized patch moment, is simplysupported at all edges and has nite length. Ordinary dierential equations with variable coecients are formulated using an expansion of Fourier series applied to the displacement eld in circumferential and axial direction. The resulting ordinary dierential equations are solved by the Galerkin nite element method. Numerical results are presented for [0/90/0], [90/0/90], [0/90/0/90/0], [0/90/0/90/0/90/0] and [0/90/0/90/0/90/0/90/0] stacking sequences.