基于Copula函数—协方差分析的桥梁群组地震易损性分析方法研究

项目来源

国家自然科学基金(NSFC)

项目主持人

宋帅

项目受资助机构

太原理工大学

立项年度

2018

立项时间

未公开

项目编号

51808376

项目级别

国家级

研究期限

未知 / 未知

受资助金额

25.00万元

学科

工程与材料科学-建筑与土木工程-结构工程

学科代码

E-E08-E0804

基金类别

青年科学基金项目

关键词

Copula函数 ; 重要性测度 ; 地震易损性 ; 桥梁群组 ; 协方差分析 ; Copula函数 ; 重要性测度 ; 地震易损性 ; 桥梁群组 ; 协方差分析

参与者

韩江龙;聂云靖;刘芳;康志锐;王帅;尚军强

参与机构

太原理工大学;中山大学

项目标书摘要:由于钢筋、混凝土等材料的老化,我国公路交通网中大量的在役中小跨径梁桥抗震性能难以满足结构抗震的要求。考虑到地震动的随机性及结构中的不确定性,常采用基于概率的易损性分析方法对桥梁的抗震性能进行评估。如何量化桥梁中不确定性的影响水平,细化桥梁分组是针对大量在役桥梁地震易损性分析的关键。本项目拟引入矩独立重要性测度指标考虑桥梁中不确定性的交互效应,量化不确定性对桥梁地震需求的影响水平;基于影响显著的不确定性因素,结合拉丁超立方抽样方法对在役桥梁进行概率地震需求分析,采用Copula函数技术研究构件地震需求相关性的尾部特征及时变特性,明确构件之间相关性对桥梁系统地震易损性的影响;考虑结构损伤及性能退化,基于协方差分析统计技术细化中小跨径梁桥分组,进而建立针对桥梁群组的地震易损性分析方法,揭示在役桥梁地震易损性的概率演化规律。研究成果可为桥梁的全寿命周期抗震设计及区域地震风险评估提供科学依据。

Application Abstract: Due to the aging of steel,concrete and other materials,the seismic performance of many existing medium and small span beam bridges in China cannot meet the requirement.The probability-based fragility analysis method is commonly used to evaluate the seismic performance of bridges considering the randomness of ground motions and the uncertainty of structures.However,to quantify the influence of uncertainties in the bridge and to refine the grouping of bridge classes are critical in the fragility analysis of existing bridges.In the present project,a moment-independent importance measure is introduced to quantify the impact of uncertainties on the seismic demand of bridges considering the interaction of uncertainties.Based on the significant uncertainty factors,the probabilistic seismic demand analysis of the bridge is performed combining Latin hypercube sampling method.The Copula technique is then adopted to describe the tail feature and time-variation characteristic of the dependence among component seismic demands.The impact of the dependence on the seismic vulnerability of bridge systems is evaluated.Considering structural damages and performance degradation of existing bridges,the statistical technique based on covariance analysis is performed to refine the grouping of medium and small span beam bridges.Subsequently,the seismic fragility analysis method for bridge classes is developed,and the probability evolution rules of existing bridge seismic fragility are evaluated.The research can provide scientific bases for the life-cycle seismic design of bridges and the regional earthquake risk assessment.

项目受资助省

山西省

项目结题报告(全文)

我国公路交通路线上存在大量的中小跨径梁桥,对我国的经济建设、社会发展以及区域交流发挥了重要的作用。然而随着服役时间的增长,桥梁结构材料如钢筋、混凝土等性能不断退化,我国公路交通网中大量的在役中小跨径梁桥抗震性能难以满足抗震要求。作为生命线工程的关键部分,在役桥梁在地震中发生破坏不仅导致自身经济损失,而且会对抗震救灾以及灾后恢复具有重要影响。由于地震动的随机性以及结构、环境中各种不确定性因素,准确合理评估大量在役中小跨径桥梁的抗震性能十分具有挑战性但特别关键。本项目基于现场调查、结构试验、数值分析和理论推导等主要研究手段,引入矩独立重要性测度指标考虑桥梁中不确定性的交互效应,量化不确定性对在役中小跨径桥梁地震需求的影响水平;明确对桥梁地震需求影响显著的随机参数。结合拉丁超立方抽样方法对在役桥梁进行概率地震需求分析,采用Copula函数技术研究构件地震需求相关性的尾部特征;针对多构件情况,采用Pair Copula函数迭代技术,建立了针对复杂结构系统整体的地震易损性分析方法,明确构件之间相关性对桥梁系统地震易损性的影响;考虑在役桥梁的性能退化,基于协方差分析细化中小跨径梁桥分组,通过对不同服役时间在役桥梁进行概率需求分析,探讨构件地震需求之间相关性的时变规律;进而建立针对在役桥梁群组的地震易损性分析方法,揭示在役桥梁地震易损性的概率演化规律。项目执行至今,发表期刊学术论文17篇;授权国家发明专利1项;出版学术专著1部;参加国内学术会议11人次,培养硕士研究生11名。研究成果可为在役桥梁的管理维护、桥梁全寿命周期抗震设计以及区域地震风险评估提供科学依据。

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  • 1.基于OpenSees的桥墩抗震加固方案对比研究

    • 关键词:
    • 抗震加固增大截面法外包FRP外包ECC基金资助:国家自然科学基金资助项目(51808376);中国博士后科学基金资助项目(2019M651076);专辑:工程科技Ⅱ辑专题:公路与水路运输分类号:U445.72手机阅读
    • 姚琼;宋帅;吴刚;刘乃栋
    • 期刊

    通过OpenSees对增大截面加固法、外包FRP加固法及外包ECC加固法3种常见的桥墩加固方案进行数值模拟和对比分析,基于美国太平洋地震工程研究中心的试验数据验证数值模拟的准确性。结果表明:增大截面法可显著增强桥墩的刚度、峰值荷载和耗能,加固60 cm高时,初始刚度、水平峰值荷载分别为22.8 kN/mm和131.9 kN,相比于普通RC柱的11.5 kN/mm和65.9 kN,分别提高了98.3%和100.2%,耗能是加固前的4.2倍。外包FRP类似“加强箍”作用于桥墩外围,能显著提升桥墩的延性性能,加固60 cm时,极限位移为56.2 mm,比加固前的32 mm提高了75.6%,累积耗能为108.1 kJ,是普通RC柱的3.8倍。外包ECC法采用高韧性的ECC材料取代普通混凝土保护层,在地震中通过ECC的均匀稳态开裂增强结构变形及耗能能力,加固60 cm后的极限位移达到49.1 mm,累积耗能为74.2 kJ,比原结构分别提高了53.7%和157.6%。

    ...
  • 2.Experimental Study on Seismic Performance of CFRP-Strengthened Recycled Concrete Columns with Different Levels of Seismic Damage

    • 关键词:
    • Carbon fibers;Concrete aggregates;Concrete construction;Concrete testing;Ductility;Energy dissipation;Recycling;Seismic waves;Stiffness;Carbon fibre composites;Column specimen;Level of seismic damage;Pseudo-static tests;Recycled aggregate replacement rate;Recycled aggregates;Recycled concrete columns;Recycled concretes;Replacement rates;Seismic damage
    • Song, Shuai;Tian, Zhen;Zhao, Zhenyu;Li, Xi;Zhao, Jianfeng;Xu, Baishun
    • 《Buildings》
    • 2023年
    • 13卷
    • 6期
    • 期刊

    To study the strengthening effect of carbon fiber composite materials (CFRP) on recycled concrete columns subjected to different levels of seismic damage, four column specimens were designed for pseudo-static tests. The four specimens were categorized as non-destructive without strengthening (prototype), non-destructive strengthening, medium seismic damage strengthening, and severe seismic damage strengthening based on the replacement rate of recycled aggregates and the level of seismic damage. The characteristics of the deformation damage and seismic performance indicators of each specimen were compared and analyzed. The results were verified on the OpenSees platform. A decrease was observed in the initial stiffness of the seismically damaged recycled concrete column specimens strengthened with CFRP, while the ductility, peak bearing capacity, and energy dissipation capacity of the specimens were improved. In addition, with the reduction in seismic damage, the ductility and energy dissipation capacity of the strengthened seismically damaged recycled concrete column specimens were enhanced to different degrees. In particular, the cumulative energy dissipation of the strengthened specimens exposed to medium seismic damage increased most significantly, by 32.5%. In general, the hysteretic curves of the strengthened specimens were full, and the average ductility coefficients were 4.1–6.8. CFRP strengthening was more effective for restoring and enhancing the performance of the recycled concrete column specimens with medium and lower seismic damage levels (displacement ratio ≤ 3%). © 2023 by the authors.

    ...
  • 3.双薄壁墩连续刚构桥的地震易损性研究

    • 关键词:
    • 桥梁工程;地震易损性;地震需求分析;线性回归分析
    • 王帅
    • 指导老师:太原理工大学 张巍
    • 学位论文

    随着经济和社会的发展,我国的桥梁数量已经十分庞大。近年来,双薄壁墩连续刚构桥因其跨越能力大、易于施工、行车平顺以及养护简便等优点在我国得到广泛应用。由于早期设计和建造的桥梁对于抗震考虑不足,造成其抗震性能较差。随着认识深入,后期桥梁设计的过程中逐渐考虑了地震的影响。然而,我国现行规范对于桥梁抗震设计和桥梁地震响应分析的规定主要是基于2010年以前的桥梁结构进行编制,其对于近期服役或在建大跨及复杂桥梁的适用性仍具有一定局限性。因此,开展针对双薄壁墩连续刚构桥的抗震性能和地震易损性研究对保障交通网络畅通、应急救援及灾后重建具有重要意义。桥梁地震易损性分析旨在预测桥梁结构在不同地震强度下的破坏程度,表示为在给定地震强度下,结构或构件超越某一特定破坏极限状态的条件概率。桥梁构件的地震需求分析是桥梁地震易损性分析中重要的一环,桥梁构件的地震需求与地震动特性和桥梁结构本身的动力特性均具有密切关系,采用科学的地震需求分析方法选出合理的需求模型对桥梁地震易损性研究具有重要意义。针对以上分析,本文的主要研究内容如下:(1)以一座典型的双薄壁墩连续刚构桥为研究对象,采用Open Sees程序建立桥梁的非线性动力分析模型;以墩高参数作为控制变量研究和讨论了墩高对双薄壁墩连续刚构桥地震响应的影响;根据桥址场地选取146条地震动记录,并参考既有研究进行桥梁构件工程需求参数的选择、取值以及各损伤极限状态的定义。(2)提出一种桥梁构件的地震需求分析方法,该法基于工程需求参数和地震烈度参数双向匹配、同时优选的基本思想,并采用数理统计方法确定各构件的最优地震需求模型,适用于桥梁的地震易损性曲线和曲面分析。采用该方法对双薄壁墩连续刚构桥各构件进行概率地震需求分析,并确定构件的最优地震需求模型。(3)基于各构件的最优地震需求模型进行双薄壁墩连续刚构桥构件的地震易损性分析;基于一阶界限法计算得到桥梁系统的地震易损性曲线和曲面。

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  • 4.Treatment of Wastewater Effluent with Heavy Metal Pollution Using a Nano Ecological Recycled Concrete

    • 关键词:
    • adsorption; heavy metal pollution; nano ecological; recycled aggregates;water stress;GEOPOLYMER; ADSORPTION; NANO-SIO2; REMOVAL
    • Liu, Jing;Su, Jiayi;Zhao, Zhenyu;Feng, Weiying;Song, Shuai
    • 《WATER》
    • 2022年
    • 14卷
    • 15期
    • 期刊

    Water pollution exacerbates water stress and poses a great threat to the ecosystem and human health. Construction and demolition waste (CDW) due to rapid urbanization also causes heavy environmental burdens. A major proportion of CDW can be effectively converted into recycled aggregates, which can be reused in many fields, including environment remediation. In this study, a nano ecological recycled concrete (nano-ERC) was produced with recycled aggregates and copper oxide nanoparticles (nCuO) to remove heavy metals (HMs) from a simulated wastewater effluent (SWE) for further treatment. Recycled aggregates were obtained from CDW, thereby simultaneously reducing the treatment cost of the SWE and the environmental burden of solid waste. The adsorption capacity of nano-ERC was presumed to be significantly enhanced by the addition of nCuO due to the unique large surface-to-volume ratio and other properties of nanoparticles. The SWE containing five common HMs, arsenic (As), chromium (Cr), cadmium (Cd), manganese (Mn) and lead (Pb), was filtered through a control ERC and nano-ERCs, and the concentrations of these HMs were determined with ICP-MS in the SWE and the filtrates. Results showed the nano-ERCs could significantly remove these HMs from the SWE compared to the control ERC, due to the enhanced adsorption capacity by nCuO. The relative weighted average removal percentage (RWAR%) was in the range of 53.05-71.83% for nano-ERCs and 39.27-61.65% for control ERC. Except for Cr, concentrations of these HMs in the treated wastewater effluent met the requirements for crop irrigation or scenic water supplementation; the Cr may be removed by multiple filtrations. In conclusion, nano-ERC can serve as a cost-effective approach for the further treatment of wastewater effluent and may be applied more widely in wastewater treatment to help relieve water stress.

    ...
  • 5.Nested Copula Model for Overall Seismic Vulnerability Analysis of Multispan Bridges

    • 关键词:
    • CONTINUOUS-GIRDER BRIDGE; FRAGILITY ASSESSMENT; HIGHWAY BRIDGES;DEPENDENCE; METHODOLOGY; PERFORMANCE; PARAMETERS; DEMANDS; CURVES;DESIGN
    • Ma, Ming;Wang, Xiaoguang;Liu, Naidong;Song, Shuai;Wang, Shuai
    • 《SHOCK AND VIBRATION》
    • 2022年
    • 2022卷
    • 期刊

    Piers and bearings influence each other in earthquakes, and the failure of any component will affect the whole function of bridges. Thus, it is critical to consider the correlations between multiple components in the seismic vulnerability analysis of the overall bridge system. In this paper, a method of overall seismic vulnerability analysis with nested copula model was proposed to model the correlations between multiple components. The components were combined according to their types to construct the hierarchical structure of the system. The correlation of components was modeled with copula functions, and the nested copula model of the system was eventually developed. Maximum likelihood estimation and goodness-of-fit test were used to select and optimize the copula functions. The overall seismic vulnerability of the multispan bridge system was established using the nested copula model. A four-span continuous rigid frame bridge was used to illustrate the application of the proposed method. The results show that the nested copula model accurately simulated the correlations between multiple components, which would eliminate the overestimation or underestimation by the first-order boundary method.

    ...
  • 6.Important measure analysis of uncertainty parameters in bridge probabilistic seismic demands

    • 关键词:
    • importance measures; interaction; moment-independent; probabilisticseismic demands; uncertainty parameters;INDEPENDENT IMPORTANCE MEASURE; FRAGILITY ASSESSMENT; HIGHWAY BRIDGES;SENSITIVITY-ANALYSIS; RISK; VULNERABILITY; DESIGN; MODEL; METHODOLOGY;RELIABILITY
    • Song, Shuai;Wu, Yuan H.;Wang, Shuai;Lei, Hong G.
    • 《EARTHQUAKES AND STRUCTURES》
    • 2022年
    • 22卷
    • 2期
    • 期刊

    A moment-independent importance measure analysis approach was introduced to quantify the effects of structural uncertainty parameters on probabilistic seismic demands of simply supported girder bridges. Based on the probability distributions of main uncertainty parameters in bridges, conditional and unconditional bridge samples were constructed with Monte-Carlo sampling and analyzed in the OpenSees platform with a series of real seismic ground motion records. Conditional and unconditional probability density functions were developed using kernel density estimation with the results of nonlinear time history analysis of the bridge samples. Moment-independent importance measures of these uncertainty parameters were derived by numerical integrations with the conditional and unconditional probability density functions, and the uncertainty parameters were ranked in descending order of their importance. Different from Tornado diagram approach, the impacts of uncertainty parameters on the whole probability distributions of bridge seismic demands and the interactions of uncertainty parameters were considered simultaneously in the importance measure analysis approach. Results show that the interaction of uncertainty parameters had significant impacts on the seismic demand of components, and in some cases, it changed the most significant parameters for piers, bearings and abutments.

    ...
  • 8.斜拉桥系统地震易损性评估的Pair Copula技术

    • 关键词:
    • 桥梁工程;斜拉桥系统;地震易损性;Pair Copula模型;分层迭代;概率地震响应
    • 宋帅;吴元昊;徐佰顺;吴刚;张金
    • 《工程力学》
    • 2021年
    • 09期
    • 期刊

    大跨度斜拉桥作为高次超静定结构,通常包含主塔、斜拉索、主梁、辅助墩及连接墩等较多构件,由于地震作用下各构件相互影响,准确模拟构件地震响应之间的相关性对斜拉桥整体系统的易损性评估十分关键。因Pair Copula能较好地模拟构件两两之间的相关性,理论上可将Pair Copula分层迭代模拟斜拉桥整体系统,进而提出基于Pair Copula迭代模型的斜拉桥系统地震易损性评估方法。基于结构不确定性参数及地震动不确定性,采用拉丁超立方抽样技术建立桥梁-地震动概率地震响应分析样本;通过非线性动力时程及相关性分析,量化构件地震响应之间的相关性;采用极大似然估计拟合Pair Copula模型,基于AIC及BIC准则对其进行优选;通过Pair Copula分层迭代,建立斜拉桥整体模型并对其进行地震易损性评估。工程实例表明,基于Pair Copula分层迭代技术能准确模拟多构件之间的相关性,假定构件地震响应完全不相关,会显著高估斜拉桥整体系统的地震易损性。

    ...
  • 9.套箍加固钢筋混凝土中长柱的试验研究

    • 关键词:
    • 钢筋混凝土中长柱;套箍加固;破坏特征;加固效果;受力性能
    • 毛德均;钱永久;宋帅
    • 《建筑结构》
    • 2021年
    • 10期
    • 期刊

    为研究套箍加固钢筋混凝土中长柱的破坏特征、加固效果和受力性能,开展了2根普通钢筋混凝土中长柱(轴压、偏压各1根)和6根采用套箍加固的钢筋混凝土中长柱(轴压、偏压各3根)的静力破坏试验研究。结果表明:试件主要表现为材料破坏,破坏发生位置偏向加载端,偏压柱加固后破坏形态会发生改变;相对于未加固柱,加固后柱的承载力可以实现成倍增长;在加固后的受力过程中,轴压构件的核心柱和套箍层应变变化同步,偏压构件的核心柱相对于套箍层存在应变滞后;加固柱的最终横向挠曲变形基本符合半波正弦曲线;加固柱的纵向应变符合平截面假定。对试验试件的承载力计算,《公路桥梁加固设计规范》(JTG/T J22—2008)和《混凝土结构加固设计规范》(GB 50367—2013)的结果表现存在差异,具体为后者结果总体表现优于前者,前者相对于后者结果偏大。

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  • 3
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