Eventos Anais de eventos
COBEM 2017
24th ABCM International Congress of Mechanical Engineering
ADAPTIVE ENRICHMENT OF THE GENERALIZED FINITE ELEMENT METHOD BASED ON THE FRIBERG ERROR INDICATOR
Submission Author:
Maicon Felipe Malacarne , PR
Co-Authors:
Maicon Felipe Malacarne, Marcos Arndt, ROBERTO Dalledone Machado, Paulo de Oliveira Weinhardt, Thamara Petroli
Presenter: Maicon Felipe Malacarne
doi://10.26678/ABCM.COBEM2017.COB17-0533
Abstract
The Generalized Finite Element Method (GFEM) has presented excellent results when applied to free vibration analysis of structures mainly when obtaining higher frequencies. However the classical GFEM enriching approaches apply the enrichment over all elements in the mesh increasing a lot the computational cost. This work proposes as adaptive enrichment of the GFEM based on the Friberg error estimator. This technique allows choosing the elements to enrich that better increase the precision of a specific frequency. The application of this approach in free vibration analysis of bars is presented. A brief explanation about the p-hierarchical FEM and the GFEM, and about how the estimator works is given. Finally the results obtained by the adaptive enrichment of GFEM are compared with those obtained by analytical solutions and classical refinements of FEM and GFEM.
Keywords
Generalized Finite Element Method, error estimator, free vibration analysis
