Nonlinear Dynamic Analysis of Thin Shells Using a Finite Element With Drilling Degrees of Freedom

The good performance of the mixed degenerate shell finite element with drilling degrees of freedom (DDSE) in linear and nonlinear static analysis problems is in the basis of the present work concerned with its extension to nonlinear dynamic regime. The 9-noded element (DDSE9) has exhibit in a previous work the best performance among the other elements of the DDSE family. It is, consequently, chosen to experience the nonlinear dynamic behaviour in this paper. Both geometrical and material nonlinearities are taken into account and the different integration schemes are considered in the present investigation. The results of the benchmarks treated by the DDSE proved its accuracy and efficiency when compared to those available in the literature. This conclusion will enhance the main advantage of this kind of elements which remains their suitability to model many engineering problems without any numerical “tricks” or adjustments.