Axisymmetric bending and free vibration of symmetrically laminated circular and annular plates having elastic edge constraints

Abstract

To fill the gap noticed in the literature, this paper presents free vibration results of symmetrically laminated circular and annular plates having elastic edge constraints. Some static bending results have also been presented. Each layer is having cylindrical/polar orthotropy. A Differential Quadrature Method (DQM) based methodology is utilized for spatial discretization. The problem of shear-deformable laminated circular/annular plates having translational as well as rotational edge constraints is studied. By varying the edge stiffnesses, several combinations of free, simply supported, clamped and free edge conditions have been simulated. The results have been verified with the help of convergence study in terms of the number of discretization nodes and by comparison with the results of isotropic circular plates and of laminated circular/annular plates available in the literature. Some parametric studies in terms of material and geometrical variables are also reported. Keywords: Bending, Vibration, Circular plates, Axisymmetric, Elastic edge, DQM