Geometrically nonlinear transient analysis of moderately thick laminated composite shallow shells with generalized differential quadrature method

In this article, geometrically nonlinear transient analysis of moderately thick laminated composite shallow shells is performed using generalized differential quadrature method. First-order shear deformation theory of doubly curved shells is used to consider transverse shear effect and Von-Karman nonlinear strain-displacement relationships are used to consider geometric nonlinearity due to large displacements. Virtual work principle is used to derive the equation of motion. Partial derivatives in the equation of motion is expressed with generalized differential quadrature method and time integration is carried out using Newmark average acceleration method. Several laminated composite plate, cylindrical and spherical panel problems from the literature are solved with the proposed method. Transient responses are compared with those obtained with other methods in the literature.