A non-standard finite element method for dynamical behavior of cylindrical classical shell model

Abstract

This paper deals with the approximation of the dynamical behaviors of a cylindrical shell, modeled by the classical Naghdi shell’s mathematical model over a reference domain. We use a non-standard method so called MITC4-p finite element method, which comes from non standard mixed interpolated tensorial component (MITC) formulation for Reissner–Mindlin plates. The performance of this approach is assessed for both, the modal analysis of the free vibrations modes, and time-domain analysis of vibration responses. Some numerical experiments are presented to show the performance of the method, in particular, it is numerically observed that the method is completely locking free and independent of the thickness.