Enriched Finite Element Method Based on Interpolation Covers for Structural Dynamics Analysis

Abstract

This work proposes a novel enriched finite element method (E-FEM) for structural dynamics analysis. We developed the enriched 3-node triangular and 4-node tetrahedral displacement-based elements (T-elements). The standard linear shape functions of these T-elements were enriched using interpolation cover functions over each patch of elements. We also introduced and compared different orders of cover functions; higher-order functions obtained higher computational performance. Subsequently, the forced and free vibration analyses were performed on various typical numerical examples. The proposed enriched finite element method generated more precise numerical results and ensured faster convergence than the original linear elements.

Keywords

• low-order linear element
• interpolation cover function
• enriched finite element method (E-FEM)
• forced and free vibration analysis