为了研究简化的地震易损性方法在桥梁中的应用，通过寻求材料不确定性的统计规律，达到简化易损性分析的目的，本文提出了两种易损性简化分析方法。针对我国实际工程中应用最为广泛的某梁式桥梁，采用拉丁超立方抽样来进行结构材料不确定性组合，对桥梁的三维有限元模型，选用了10条天然地震动，利用结构主要材料既有的统计规律，对比研究了两种易损性简化分析与常规基于位移的地震易损性分析方法的计算结果。研究结果表明：采用简化分析方法一得到的桥梁结构地震需求超过其性能水平的超越概率要小于常规基于位移的地震易损性分析方法的计算结果，其结果偏于不安全，而且有一定的误差；采用简化方法二绘制的易损性曲线比简化方法一绘制的易损性曲线更接近常规方法的，其误差更小，其分析结果偏于安全。采用本文的简化分析方法之二，将大幅减少分析样本数量，在实际工程中可以用来对桥梁结构地震破坏状态概率进行近似估计。
Abstract
In order to study the application of simplified seismic vulnerability analysis methods in bridge, through seeking the statistical rule of material uncertainty to simplify the vulnerability analysis, two kinds of simplified seismic vulnerability analysis methods were proposed. In view of a beam bridge, which is the most widely used practical projects in china, Latin Hypercube Sampling was used for uncertainty composite of bridge structure materials. Ten natural ground motions were chosen to analysis the three dimensional finite element model of the bridge. The results of the two kinds of simplified seismic vulnerability analysis methods and conventional method were compared through the existing statistical regularity of the structure main material. The results show that exceeding probability of performance level of bridge structure seismic demands that calculate by the first simplified seismic vulnerability analysis method is less than the traditional method. There is some error in the analysis result calculated by the first simplified method, which result is unsafe compared to the traditional method result. Seismic fragility curves calculated by the second simplified method are closer to the fragility curves of traditional method.There is less error, but much safer compared to the first simplified method. The number of analysis samples would be reduced significantly when the second simplified method is taken , which could be used to estimate the seismic damage state probability of bridge structures .
关键词
材料强度 /
统计参数 /
易损性简化分析 /
拉丁超立方 /
位移
{{custom_keyword}} /
Key words
material strength /
statistical parameters /
simplified vulnerability analysis /
Latin Hypercube Sampling /
displacement
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 钟剑, 庞于涛, 曹飒飒, 等. 基于构件的RC连续梁桥地震体系易损性分析[J]. 同济大学学报(自然科学版), 2015, 43(2): 193-198.
Zhong Jian, Pang Yutao, Cao Sasa, et al. Seismic fragility methodology for RC continuous bridges based on components correlation[J]. Journal of Tongji University (natural science)2015, 43(2): 193-198
[2] 吴子燕,贾兆平,刘骁骁. 基于桥梁经验数据的理论易损性曲线校准[J]. 应用数学和力学, 2014, 35(07): 723-736.
Wu Ziyan, Jia Zhaoping, Liu Xiaoxiao. Calibration of analytical fragility curves based on empirical data of bridges.applied[J]. Mathematics and Mechanics.2014, 35(07): 723-736
[3] Alam M S, Bhuiyan M A R, Billah A H M M. Seismic fragility assessment of SMA-bar restrained multi-span continuous highway bridge isolated by different laminated rubber bearings in medium to strong seismic risk zones[J]. Bulletin of Earthquake Engineering, 2012, 10(6): 1885-1909.
[4] 郑山锁,代旷宇,韩超伟, 等 基于材料性能退化模型的钢排架结构易损性分析[J]. 振动与冲击,2015,34(17):18-24.
Zheng Shan-suo, Dai kuangyu, Han Chaowei, et al. Steel bent frame structure vulnerability ananlysis based on steel performance degration model[J]. Journal of vibration and shock. 2015,34(17):18-24.
[5] Dutta A, Mander J B. Seismic fragility analysis of highway bridges[C]. Proceedings of the INCEDEMCEER Center-to-Center Workshop on Earthquake Engineering Frontiers in Transportation Systems, 1998．
[6] Ramanathan K, Padgett J E, DesRoches R. Temporal evolution of seismic fragility curves for concrete box-girder bridges in California[J]. Engineering Structures, 2015, 97(15): 29-46.
[7] Ghosh J, Sood P. Consideration of Time-Evolving Capacity Distributions and Improved Degradation Models for Seismic Fragility Assessment of Aging Highway Bridges[J]. Reliability Engineering & System Safety, 2016.154(10): 197-218.
[8] 张菊辉. 基于数值模拟的规则梁桥墩柱的地震易损性分析[D].同济大学,2006.
Zhang Juhui. Study on Seismic Vulnerability Analysis of normal beam bridge piers based on numerical simulation[D]. Tongji University, 2006
[9] 张令心，江近仁. Latin超立方采样技术及其在结构可靠性分析中的应用[J]. 世界地震工程, 1997, 13(4):1-6.
Zhang Lingxin, Jiang Jinren. Latin hypercube sampling and its application to structural reliability analysis[J]. World information on earthquake engineering, 1997, 13(4):1-6
[10] Wyss G D, Jorgensen K H. A user’s guide to LHS: Sandia’s Latin hypercube sampling software[J]. SAND98-0210, Sandia National Laboratories, Albuquerque, NM, 1998.
[11] 于晓辉,吕大刚. 考虑结构不确定性的地震倒塌易损性分析[J]. 建筑结构学报, 2012, 33(10): 8-14.
Yu Xiaohui, Lu Dagang. Seismic collapse fragility analysis considering structural uncertainties[J]. Journal of Building Structures, 2012, 33(10): 8-14
[12] 张云, 谭平, 郑建勋, 等. 基于性能的中小跨径装配式梁桥地震易损性分析[J]. 振动工程学报, 2014, 27（5）: 676-684.
Zhang Yun, Tan Ping, Zheng Jianxun, et al. Fragility analysis for performance-based seismic design of prefabricated bridge with middle-small span [J]. Journal of vibration engineering. 2014, 27（5）: 676-684
[13] 张云, 谭平, 郑建勋, 等. 柱式柔性墩隔震梁桥结构地震易损性分析[J]. 振动与冲击, 2015, 34（16）: 48-54.
Zhang Yun, Tan Ping, Zheng Jianxun, et al. Seismic fragility analysis on isolated bridges with flexible column piers[J]. Journal of vibration and shock. 2015, 34（16）: 48-54
[14] H.Hwang，刘晶波. 地震作用下钢筋混凝土桥梁结构易损性分析[J]. 土木工程学报，2004, 37(6):47-51.
H.Hwang，Liu Jinbo. Seismic fragility analysis of reinforced concrete bridges[J]. China civil engineering journal, 2004, 37(6):47-51
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
PDF(829 KB)
