Linear and geometrically nonlinear bending of isotropic and multilayered composite plates by the natural mode method (Q1912123)

We apply the natural mode method and formulate an appropriate linear and geometrically nonlinear theory which is implemented on a model three-node multilayered triangular facet element which incorporates the effect of transverse shear deformation and is intended for the nonlinear analysis of large and complex isotropic and composite structures. In this context, we discuss the derivation of the elastic and geometrical elemental stiffness which are based on appropriate kinematic as well as physical idealizations, which constitute basic elements of the method of intelligent physical lumping. Subsequently, we present the ARIBAN scheme (accumulation of the rigid-body and natural modes) for geometrically nonlinear analysis.