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摘要:
为了提高斜拉索极限承载力评估的精度，考虑了斜拉索锈蚀损伤的影响，建立了锈蚀钢丝力学性能模型，模拟了完好与锈蚀钢丝的力学性能；以3种典型截面锈蚀分布模型模式和3种典型索长方向锈蚀分布模型类型的联合作用为前提，分析了斜拉索内不同位置处的锈蚀程度，研究了斜拉索的锈蚀分布规律；采用蒙特卡罗方法模拟了不同锈蚀程度下索内钢丝的力学性能，最终得到了索的极限承载力以及斜拉索达到极限承载力时的断丝数，统计分析了斜拉索极限承载力、断丝数、锈蚀深度以及截面锈蚀率之间的相关关系，分析了锈蚀分布规律的影响。分析结果表明：不同锈蚀分布条件下，锈蚀斜拉索达到极限承载力时的断丝数的样本均值相差可达到约3倍，而斜拉索极限承载力的样本均值变化可达到约20%；虽然锈蚀斜拉索达到极限承载力时的断丝数随着锈蚀程度增加而增加，但是断丝数与极限承载力间的相关性较差，在某些锈蚀分布条件下甚至仅为0.014；为了保证斜拉索的安全可靠性，不宜以断丝数作为评估索承载力的技术指标。
Abstract:In order to enhance the evaluation accuracy of the ultimate bearing capacity of stayed cables, the influence of corrosion damage on the stayed cables was considered, the mechanical property model of corroded steel wires was established, and the mechanical properties of intact and corroded steel wires were simulated. Based on the combined action of three typical cross-section corrosion distribution models, and three typical corrosion distribution model types along the cable length direction, the corrosion degrees at different positions in the stayed cable were analyzed, and the distribution law of the corrosion in the stayed cable was studied. The Monte Carlo method was used to simulate the mechanical properties of the steel wire in the cable under different corrosion degrees, and the ultimate bearing capacity of the cable was finally obtained, as well as the number of broken wires when the stayed cable reached the ultimate bearing capacity. The correlation among the ultimate bearing capacity, the number of broken wires, the corrosion depth, and the cross-section corrosion rate of the stayed cable was statistically analyzed. The influence of corrosion distribution law was analyzed. Analysis results show that under different corrosion distribution conditions, when the corroded stayed cable reaches the ultimate bearing capacity, the sample mean difference of the numbers of broken wires may reach about three times, while the sample mean change of the ultimate bearing capacity of the stayed cable can reach about 20%. When the stayed cable reaches the ultimate bearing capacity, the number of broken wires increases with the increase of corrosion degree. But the correlation between the number of broken wires and the ultimate bearing capacity is poor, even only 0.014 under some corrosion distribution conditions. In order to ensure the safety and reliability of the stayed cable, the number of broken wires should not be used as a technical index to evaluate the bearing capacity of cables.
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图 4 钢丝上下两侧的不同锈蚀程度
Figure 4. Different corrosion degrees of upper and lower surfaces of steel wire
图 5 不同锈蚀分布模型下Rs的概率分布
Figure 5. Probability distributions of Rs under different corrosion distribution models
图 12 模式1、类型B锈蚀分布条件下斜拉索在极限状态下N与Fu的统计直方图
Figure 12. Statistical histograms of N and Fu in ultimate state under corrosion distribution condition of mode 1 and type B
表 1 钢丝力学性能统计参数
Table 1. Statistical parameters of mechanical properties of steel wires
参数 平均值 标准差 概率分布 σe/MPa 1 511.86 53.35 对数正态 εe/10-3 7.54 0.27 对数正态 σu/MPa 1 696.71 52.36 Weibull εu/10-3 64.69 6.73 对数正态 
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表 2 斜拉索锈蚀分布
Table 2. Corrosion distributions of stayed cables
截面锈蚀分布模型 索长方向锈蚀分布模型 dmax/mm 模式1 类型A 0.5 1.0 1.5 类型B 0.5 1.0 1.5 类型C 0.5 1.0 1.5 模式2 类型A 0.5 1.0 1.5 类型B 0.5 1.0 1.5 类型C 0.5 1.0 1.5 模式3 类型A 0.5 1.0 1.5 类型B 0.5 1.0 1.5 类型C 0.5 1.0 1.5
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表 3 斜拉索2%断丝时达到极限承载力的概率
Table 3. Probabilities of reaching ultimate bearing capacity when 2% wires are broken in stayed cables
% 锈蚀类型 类型A 类型B 类型C dmax/mm 0.5 1.0 1.5 0.5 1.0 1.5 0.5 1.0 1.5 模式1 40.599 10.312 4.483 43.322 8.701 0.970 32.706 10.633 0.881 模式2 27.615 0.744 0.009 35.498 1.649 0.009 17.992 0.409 0.004 模式3 54.953 19.597 5.673 55.814 26.179 7.922 50.733 17.483 3.741
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表 4 斜拉索截面锈蚀率
Table 4. Corrosion rates of stayed cable sections
dmax/mm 斜拉索截面锈蚀率Rmc 模式1 模式2 模式3 0.5 0.19 0.11 0.16 1.0 0.35 0.22 0.31 1.5 0.50 0.31 0.45
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