Dynamic and Post-buckling Analysis of Structures Like-Shell Using a Quadrilateral Shell Element with In-plane Drilling Rotational Degree of Freedom and a Conservative Implicit Time Integration Scheme

Abstract

In this work, post-buckling problems of structures like shell are investigated using an implicit conservative time integration dynamic scheme. We have proposed the use of a four nodded quadrilateral flat shell element, with the drilling rotation degree of freedom (D. Boutagouga., A new enhanced assumed strain quadrilateral membrane element with drilling degree of freedom and modified shape functions, Int. J. Numer. Meth. Eng. 2017; 110:573–600) and based upon the updated Lagrangian formulation. An implicit conservative scheme (K.J, Bathe., G, Noh., Insight into an implicit time integration scheme for structural dynamics. Comput. Struct. 2012; 98–99: 1–6) is chosen to obtain the solution to the nonlinear dynamic behaviour and geometric nonlinear post-buckling response.