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山区公路桥梁多灾害联合作用数值模拟

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山区公路桥梁长期遭受冲刷及磨蚀等水文灾害,期间可能同时伴随崩塌落石等地质灾害的作用.为探明多灾害作用下山区公路桥梁的结构响应及损伤机理,从流固耦合的角度出发,针对冲刷及磨蚀的数据传递推导相应的插值算法,并结合生死单元功能,构建基于Delaunay三角剖分及特征点协同插值的山区公路桥梁多灾害联合作用数值仿真方法.首先,针对冲刷数据,基于三角形内部插值理论构建冲刷数据传递方程.其次,针对磨蚀/波流力数据,基于三维表面Delaunay三角剖分及三角形外部插值理论补充推导数据传递方程,再利用特征点协同插值算法计算结构域目标单元总结果.最后,基于生死单元功能,在结构域中考虑冲刷坑及桩基磨蚀形态,构建冲刷及磨蚀条件下落石冲击山区公路桥梁墩柱数值模型.结果表明:所采用的针对冲刷及磨蚀模型数据的插值方法精度较高;在不同的冲击速度、冲击角度及落石质量工况下,与无冲刷磨蚀相比,冲刷、冲刷磨蚀条件下桥墩冲击力峰值的相对变化呈现非线性特征,此外,在冲刷条件下,桩基磨蚀对冲击力峰值亦产生非线性影响;随着冲击速度及落石质量的增大,各条件下冲击点位移峰值均变大,且位移峰值从大到小均依次为冲刷、冲刷磨蚀和无冲刷磨蚀,同时在各冲击速度、冲击角度及落石质量工况下,磨蚀引起的位移峰值最大降幅分别约为2%、11%及4%.
Numerical Simulation of Multi-Hazard Joint Action on Mountainous Road Bridges
Mountainous road bridges are subjected to hydrological hazards such as scour and erosion in a long term of years,and they may concurrently suffer geological hazards like falling rocks.To elucidate their structural response and damage mechanisms under multiple hazards,the interpolation algorithms for the transfer of scour and erosion data were derived from the aspect of fluid-structure coupling.In addition,combined with the birth-death element functionality,a numerical simulation method for the multi-hazard joint action on mountainous road bridges was for-mulated by means of Delaunay triangulation and collaborative interpolation of feature points.First,aimed at the scour data,a scour data transfer equation was constructed based on the linear interpolation theory within a triangle.Second,supplementary data transfer equations based on three-dimensional surface Delaunay triangulation and the linear interpolation theory outside the triangle were derived for the erosion and flow force data,and the feature point collaborative interpolation algorithm was utilized to calculate the overall result of structural-domain target cells.Fi-nally,based on the birth-death element functionality and with the consideration of scour and erosion morphology of pile foundations within the structural domain,the numerical model of a mountainous road bridge's pier column im-pacted by falling rocks was established under conditions of scour and erosion.Results demonstrate that the interpola-tion methods for the data of scour and erosion models achieve a high accuracy.Under conditions of different impact velocities,different impact angles and different masses of falling rock,the relative changes in peak impact forces under the scour and combined scour-erosion conditions exhibit nonlinear characteristics compared with those under the condition of falling rocks alone.Moreover,the pile foundation erosion also exerts a nonlinear effect on the peak im-pact force under the scour conditions.As the impact velocity and mass of falling rock increase,the peak displace-ments at the impact point all increase under different conditions,and they are in a descending order under conditions of scour,combined scour-erosion and falling rocks alone.Meanwhile,under various conditions of impact velocity,impact angle and mass of falling rock,the erosion-induced peak displacements are reduced by up to 2%,11%and 4%,respectively.

multi-hazardtriangulationcollaborative interpolationbirth-death elementnumerical model

熊文、周迪辉、马小龙、张嵘钊、张大牛

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东南大学交通学院,南京 211189

多灾害 三角剖分 协同插值 生死单元 数值模型

2025

天津大学学报
天津大学

天津大学学报

北大核心
影响因子:0.793
ISSN:0493-2137
年,卷(期):2025.58(3)