Abstract
In this study, we will utilize low and high-fidelity finite beam elements to assess instability thresholds for various structural configurations subjected to periodic excitations. The finite element formulations, based on arbitrary kinematic models, are obtained using an indicial formalism known as Carrera Unified Formulation. By appropriately selecting the expansions for kinematic assumptions, either equivalent-single layer or layer-wise approaches can be automatically derived. Specifically, Taylor- and Lagrange-type expansions are adopted for deriving the displacement field. Both methods will be employed to investigate the instability regions by solving the Mathieu-Hill equation for structures made of either composite or metallic materials. Using these advanced modeling techniques, we aim to enhance the accuracy and reliability of predicting dynamic instability in a broader range of structural systems.
