The Use of Condensation Techniques for Solving Dynamics Problems

Nelson, Mark F.

doi:10.4271/740330

Cited by 8 publications

(1 citation statement)

References 5 publications

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“…The degrees of freedom considered correspond to the vertical displacement experienced by the centre of the span of each of the longitudinal girders, for which it is necessary to condense the degrees of freedom associated with the torsional rotation of the centre of the span of the longitudinal girders and the bending rotation of the transverse slab. This operation of condensing the degrees of freedom associated with the rotations into the degrees of freedom associated with the vertical movements is known as static condensation [17][18][19][20] . To apply the static condensation artifice Eq.…”

Section: Proposed Methods For Modal Analysis Of Girder Bridgesmentioning

confidence: 99%

Novel Method for an Optimised Calculation of Modal Analysis of Girder Bridge Decks

Gaute-Alonso

Ramos-Gutiérrez²

2022

Preprint

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A correct modal analysis of girder bridge decks requires a correct characterisation of the deformation of their cross-section, governed by the longitudinal bending of the girders and the transverse bending of the slab. This paper presents a novel method that allows the modal analysis of girder bridge decks by applying a matrix formulation that reduces the structural problem to one degree of freedom for each girder: the deflection at the centre of the beam span. A parametric study is presented that analyses the structural response of 64 girder bridge decks. The study compares the dynamic structural response obtained by the proposed method with that obtained by traditional grillage calculation methods. The method is experimentally contrasted by a dynamic load test of a full-scale girder bridge. As a result of the analysis, the proposed method reflects adequate convergence with the experimental dynamic structural response. The use of the proposed novel analysis method contributes to the intelligent modelling process for the analysis of the dynamic behaviour of bridges opening the way to easily feed a Digital Twin (DT) accelerating the demands of the Decision Support System (DSS) in real time.

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Section: Proposed Methods For Modal Analysis Of Girder Bridgesmentioning

confidence: 99%