Free vibration of two-side simply-supported laminated cylindrical panels via the mesh-free kp-Ritz method

In this paper, the free vibration of laminated two-side simply-supported cylindrical panels is analyzed by the mesh-free kp-Ritz method. In this latest form of the Ritz technique, the reproducing kernel particle estimation is employed in hybridized form with harmonic functions to approximate the two-dimensional displacement field. The present analysis is based on the energy functional of the classical thin-shell theory based on Loveʹs hypothesis. To validate the accuracy of the results and the stability of the present method, convergence studies were carried out based on the influences of the support size and the number of nodes. Comparisons of the present results were also made with existing results available in the open literature and good agreement obtained. This study also examines in detail the effects of different curved-edge boundary conditions on the frequency characteristics of cylindrical panels.