Evaluating the Reactions of Bridge Foundations to Combined Wave–Flow Dynamics

As the ongoing development of national infrastructure progresses, we see an increase in the construction of deep-water bridges, specifically cross-sea bridges. This paper uses Stokes’s wave theory to simulate and analyze how a bridge foundation dynamically responds to wave–fluid interactions. Firstl...

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Main Authors: Xian Xiao, Jianwei Nie
Format: Article
Language:English
Published: MDPI AG 2023-08-01
Series:Buildings
Subjects:
Online Access:https://www.mdpi.com/2075-5309/13/8/2030
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author Xian Xiao
Jianwei Nie
author_facet Xian Xiao
Jianwei Nie
author_sort Xian Xiao
collection DOAJ
description As the ongoing development of national infrastructure progresses, we see an increase in the construction of deep-water bridges, specifically cross-sea bridges. This paper uses Stokes’s wave theory to simulate and analyze how a bridge foundation dynamically responds to wave–fluid interactions. Firstly, the governing equations, boundary conditions and initial conditions of fluid motion are derived, expanded and solved via Stokes’s wave theory, and a spectral model is simulated and plotted. Based on the P-M spectrum and equal frequency method, a method of wave height attenuation during wave propagation is proposed. Using an SSTK-ω turbulence model, a numerical wave flume is established considering the fluid model, the selection of element type and the boundary conditions set, and the influencing factors of wave propagation (attenuation) are analyzed. Waves with different wave parameters (period, depth and height) are numerically simulated and compared with the theoretical values. Finally, we perform an analysis of the dynamic response under wave–current coupling conditions. We establish different operational scenarios and obtain the following results: under a load duration of 200 s, the peak transverse displacements for spans 1, 2 and 3 measure at 0.84 m, 0.63 m and 0.62 m, respectively. The peak transverse displacements under operational scenarios 2 and 3 show reductions of 25.0% and 25.7%, respectively, when compared to scenario 1. However, large transverse displacements remain. This suggests that the influence of waves and water flow on the transverse displacement of the main span should not be overlooked.
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spelling doaj.art-f9c6b0816f9a4c679aa94fdc976f230a2023-11-19T00:30:12ZengMDPI AGBuildings2075-53092023-08-01138203010.3390/buildings13082030Evaluating the Reactions of Bridge Foundations to Combined Wave–Flow DynamicsXian Xiao0Jianwei Nie1School of Civil Engineering, Southeast University, Nanjing 210000, ChinaPowerChina Kunming Engineering Corporation Limited, Kunming 650000, ChinaAs the ongoing development of national infrastructure progresses, we see an increase in the construction of deep-water bridges, specifically cross-sea bridges. This paper uses Stokes’s wave theory to simulate and analyze how a bridge foundation dynamically responds to wave–fluid interactions. Firstly, the governing equations, boundary conditions and initial conditions of fluid motion are derived, expanded and solved via Stokes’s wave theory, and a spectral model is simulated and plotted. Based on the P-M spectrum and equal frequency method, a method of wave height attenuation during wave propagation is proposed. Using an SSTK-ω turbulence model, a numerical wave flume is established considering the fluid model, the selection of element type and the boundary conditions set, and the influencing factors of wave propagation (attenuation) are analyzed. Waves with different wave parameters (period, depth and height) are numerically simulated and compared with the theoretical values. Finally, we perform an analysis of the dynamic response under wave–current coupling conditions. We establish different operational scenarios and obtain the following results: under a load duration of 200 s, the peak transverse displacements for spans 1, 2 and 3 measure at 0.84 m, 0.63 m and 0.62 m, respectively. The peak transverse displacements under operational scenarios 2 and 3 show reductions of 25.0% and 25.7%, respectively, when compared to scenario 1. However, large transverse displacements remain. This suggests that the influence of waves and water flow on the transverse displacement of the main span should not be overlooked.https://www.mdpi.com/2075-5309/13/8/2030wave–flow couplingStokes’s wave theorySSTK-ω turbulence modeldynamic responsebridge
spellingShingle Xian Xiao
Jianwei Nie
Evaluating the Reactions of Bridge Foundations to Combined Wave–Flow Dynamics
Buildings
wave–flow coupling
Stokes’s wave theory
SSTK-ω turbulence model
dynamic response
bridge
title Evaluating the Reactions of Bridge Foundations to Combined Wave–Flow Dynamics
title_full Evaluating the Reactions of Bridge Foundations to Combined Wave–Flow Dynamics
title_fullStr Evaluating the Reactions of Bridge Foundations to Combined Wave–Flow Dynamics
title_full_unstemmed Evaluating the Reactions of Bridge Foundations to Combined Wave–Flow Dynamics
title_short Evaluating the Reactions of Bridge Foundations to Combined Wave–Flow Dynamics
title_sort evaluating the reactions of bridge foundations to combined wave flow dynamics
topic wave–flow coupling
Stokes’s wave theory
SSTK-ω turbulence model
dynamic response
bridge
url https://www.mdpi.com/2075-5309/13/8/2030
work_keys_str_mv AT xianxiao evaluatingthereactionsofbridgefoundationstocombinedwaveflowdynamics
AT jianweinie evaluatingthereactionsofbridgefoundationstocombinedwaveflowdynamics