Extension of the hybrid discrete-finite element method to dynamic analyses: modal superposition and time-stepping approaches

Details

Supervisors

Saraiva Esteves Pacheco De Almeida, João ; Godio, Michele

Faculty

Ecole polytechnique de Louvain

Degree label

Master [120] : ingénieur civil des constructions, à finalité spécialisée

Abstract

Earthquakes, like many other natural disasters, continue to this day to cause significant fatalities and economic damages. To mitigate these impacts, the Hybrid Discrete-Finite Element Method (HybriDFEM), a novel approach to structural analysis, has been extended to perform dynamic analysis. This extension allows HybriDFEM to compute the natural frequencies and mode shapes of various structures, including beams, walls, and arches. Traditional Discrete Element Method codes have never been used for modal analysis, and there is limited information available in the literature on this topic. Therefore, this advancement represents a significant leap in the field. Furthermore, HybriDFEM now includes dynamic analysis capabilities by implementing various time-stepping algorithms from relevant literature. This enables the modelling of displacements and internal stresses over time for both damped and undamped, linear and non-linear systems, offering users a wide range of options. All implemented methods have been extensively tested to accurately assess HybriDFEM's performance and identify any potential issues. These advancements enhance the ability to design and analyse structures subjected to dynamic loads, ultimately contributing to greater resilience against earthquakes and other dynamic forces.