Nonlinear static and dynamic analysis of shell structures with finite rotation Original Research Article

A simple, effective finite element incremental formulation and procedure for geometrically nonlinear static and dynamic analysis of a shell structure with finite rotations are presented, based on both the total Lagrangian and updated Lagrangian description of motion. The co-rotation formulation is used for finite rotation. The element employed here to implement the present method is a faceted shell element with Loof nodes (DKL + LST). An incremental iterative method based on the constant arc length method in conjunction with Newton-Raphson method is implemented in the present study for static and Newmarkʹs integration scheme for dynamic analysis. To demonstrate the accuracy and efficiency of the formulations and to compare the difference between the total and updated Lagrangian formulation, numerical studies are presented.