ANÁLISE DINÂMICA TRANSIENTE DE BARRAS PELO MÉTODO DOS ELEMENTOS FINITOS GENERALIZADOS UTILIZANDO SUPERPOSIÇÃO MODAL

The Finite Element Method (FEM), although widely used as an approximate solution method, has some limitations when applied in dynamic analysis. As an alternative to improve the dynamic response of the structure, the Generalized Finite Element Method (GFEM) can be used to enrich the approach space with appropriate functions according to the problem under study. Since the literature shows that GFEM is an effective method in dynamic analysis, the present work aims to analyze a procedure capable of increasing the computational precision and efficiency of the method. For this, the modal matrix, responsible for decoupling the system from the dynamic equilibrium equations, is used with the presence of only the most preponderant modes of vibration of the problem, which are identified from a coefficient capable of indicating the influence of each one. The analyzes were done on bar elements and it was possible to obtain more accurate and computational efficient transient results of displacement.