Numerical modeling of hydrodynamic added mass and added damping for elastic bridge pier

Abstract This paper presents a numerical model using the boundary element method for determining the hydrodynamic added mass and added damping of an elastic bridge pier with arbitrary cross-section. Combining the Euler–Bernoulli beam theory with the constant boundary element method, the modal superp...

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Main Authors: Yanfeng Wang, Zilong Ti
Format: Article
Language:English
Published: SpringerOpen 2023-10-01
Series:Advances in Bridge Engineering
Subjects:
Online Access:https://doi.org/10.1186/s43251-023-00104-2
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author Yanfeng Wang
Zilong Ti
author_facet Yanfeng Wang
Zilong Ti
author_sort Yanfeng Wang
collection DOAJ
description Abstract This paper presents a numerical model using the boundary element method for determining the hydrodynamic added mass and added damping of an elastic bridge pier with arbitrary cross-section. Combining the Euler–Bernoulli beam theory with the constant boundary element method, the modal superposition method is used to consider the deformable boundary conditions on the surface of elastic piers to couple the interaction between the elastic pier and water, and the equations for the hydrodynamic added mass and added damping of a general section pier considering the effect of pier-water coupling are derived. The accuracy of the developed model is verified by a benchmark experiment. The developed model is calculated for circular piers and compared with the added mass analytical formulation. The effects of oscillating frequency and structure geometry on the added mass and added damping are further investigated. Results demonstrate that the developed model can be used to solve the hydrodynamic added mass and added damping problems of the elastic bridge pier. Compared to the analytical formula, the developed method incorporates the consideration of added damping in the analysis of the pier-water coupling problem. Oscillating frequency and structure geometry have significant effects on added mass and added damping.
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spelling doaj.art-2428385925d946fe8dccac6e3e033aab2023-11-20T10:24:25ZengSpringerOpenAdvances in Bridge Engineering2662-54072023-10-014111610.1186/s43251-023-00104-2Numerical modeling of hydrodynamic added mass and added damping for elastic bridge pierYanfeng Wang0Zilong Ti1State Key Laboratory of Bridge Intelligent and Green Construction, Southwest Jiaotong UniversityState Key Laboratory of Bridge Intelligent and Green Construction, Southwest Jiaotong UniversityAbstract This paper presents a numerical model using the boundary element method for determining the hydrodynamic added mass and added damping of an elastic bridge pier with arbitrary cross-section. Combining the Euler–Bernoulli beam theory with the constant boundary element method, the modal superposition method is used to consider the deformable boundary conditions on the surface of elastic piers to couple the interaction between the elastic pier and water, and the equations for the hydrodynamic added mass and added damping of a general section pier considering the effect of pier-water coupling are derived. The accuracy of the developed model is verified by a benchmark experiment. The developed model is calculated for circular piers and compared with the added mass analytical formulation. The effects of oscillating frequency and structure geometry on the added mass and added damping are further investigated. Results demonstrate that the developed model can be used to solve the hydrodynamic added mass and added damping problems of the elastic bridge pier. Compared to the analytical formula, the developed method incorporates the consideration of added damping in the analysis of the pier-water coupling problem. Oscillating frequency and structure geometry have significant effects on added mass and added damping.https://doi.org/10.1186/s43251-023-00104-2Sea-crossing bridgeElastic piersHydrodynamicAdded massAdded dampingBoundary element method
spellingShingle Yanfeng Wang
Zilong Ti
Numerical modeling of hydrodynamic added mass and added damping for elastic bridge pier
Advances in Bridge Engineering
Sea-crossing bridge
Elastic piers
Hydrodynamic
Added mass
Added damping
Boundary element method
title Numerical modeling of hydrodynamic added mass and added damping for elastic bridge pier
title_full Numerical modeling of hydrodynamic added mass and added damping for elastic bridge pier
title_fullStr Numerical modeling of hydrodynamic added mass and added damping for elastic bridge pier
title_full_unstemmed Numerical modeling of hydrodynamic added mass and added damping for elastic bridge pier
title_short Numerical modeling of hydrodynamic added mass and added damping for elastic bridge pier
title_sort numerical modeling of hydrodynamic added mass and added damping for elastic bridge pier
topic Sea-crossing bridge
Elastic piers
Hydrodynamic
Added mass
Added damping
Boundary element method
url https://doi.org/10.1186/s43251-023-00104-2
work_keys_str_mv AT yanfengwang numericalmodelingofhydrodynamicaddedmassandaddeddampingforelasticbridgepier
AT zilongti numericalmodelingofhydrodynamicaddedmassandaddeddampingforelasticbridgepier