Hermite radial basis-differential quadrature solution for nonlinear buckling problem of non-uniform continuity boundaries of delaminated cylindrical shells

摘要

The progression in developing the composite material led to raise the delamination problem in different structural elements, the continuity paths of the within-thickness delamination problem usually were assumed as uniform to make the governing equations and the solution easier. This paper introduces a treatment of the buckling problem of the delaminated cylindrical shells of composite material with non-uniform delamination boundary using Hermite polynomial as a radial basis in differential quadrature method. The governing differential equations for internally delaminated cylindrical shell subjected to uniformly distributed compression load are obtained considering the variational principle. The non-dimensional analysis is carried out to get the simplest form of the governing differential equation. Both of continuity conditions at non-uniform delamination paths and boundary conditions for hinged and fixed supports are considered, and discretized using the differential quadrature method. The obtained critical buckling load at different thicknesses is verified with both of the exact solution and the solution obtained from generalized differential quadrature that used Lagrange interpolated polynomial as a test function. The results show that the Hermit radial basis differential quadrature is efficient, rapid and simple for treating the non-uniform continuity boundaries.