基于概率密度演化的连续刚构桥抗震可靠度
doi: 10.3969/j.issn.0258-2724.2014.01.007
Seismic Reliability Analysis of Continuous Rigid Frame Bridge Using Probability Density Evolution Method
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摘要: 地震动无论是时间分布还是空间分布都具有很强的随机性,对于长大桥梁结构的随机地震反应与抗震可靠度分析,需要考虑地震动的时间和空间特性,才能较全面地反映桥梁结构的动力反应性态.采用非平稳地震动随机过程的正交展开模型,结合概率密度演化理论,对某连续刚构桥在一致激励和非一致激励下的随机地震反应与抗震可靠度进行了分析.研究结果表明,长大桥梁结构在一致激励与非一致激励下的抗震可靠度存在明显差异,按墩顶位移控制失效准则的抗震可靠度的相对误差可达50%,而按墩顶弯矩控制失效准则的抗震可靠度的相对误差则高达200%.Abstract: In engineering practice, ground motion has strong randomness in time and spatial distributions. In order to capture accurately the seismic response behavior of long-span bridge structures, the randomness of earthquake excitation should be considered in dynamic response and reliability analyses. By using the orthogonal expansion model for non-stationary ground motion processes and combining the probability density evolution theory, the random seismic response and reliability analyses of a continuous rigid frame bridge are researched under uniform excitation and non-uniform excitation. The research results show that the seismic reliability of long-span bridge structures under uniform excitation and non-uniform excitation are obviously different. When pier top displacement control is used as failure criteria of the seismic reliabilities under uniform excitation and non-uniform excitation, their relative error is up to 50%, and when pier top moment control as failure criteria, their relative error is up to 200%.
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范立础, 胡世德, 叶爱君. 大跨度桥梁抗震设计[M]. 北京:人民交通出版社, 2001: 16-18. 王克海. 桥梁抗震研究[M]. 北京:中国铁道出版社, 2007: 323-331. 何庆祥, 沈祖炎. 结构地震行波效应分析综述[J]. 地震工程与工程震动, 2009, 29(1): 50-57. HE Qingxiang, SHEN Zuyan. Review of structural seismic analysis of travelling wave effects[J]. Journal of Earthquake Engineering and Engineering Vibration, 2009, 29(1): 50-57. 项海帆. 斜张桥在行波作用下的地震反应分析[J]. 同济大学学报, 1983, 11(2): 1-9. XIANG Haifan. Earthquake response analysis of cable-stayed bridges under the action of travelling waves[J]. Journal of Tongji University, 1983, 11(2): 1-9. 魏琴, 寿楠椿, 周建春, 等. 三门峡黄河公路大桥抗震分析[J]. 桥梁建设, 1994(3): 22-29. 胡世德, 范立础. 江阴长江公路大桥纵向地震反应分析[J]. 同济大学学报, 1994, 22(4): 433-438. HU Shide, FAN Lichu. The longitudinal earthquake response analysis for the Jiangyin Yangtze River bridge[J]. Journal of Tongji University, 1994, 22(4): 433-438. 郑史雄, 奚绍中, 杨建忠. 大跨度刚构桥的地震反应分析[J]. 西南交通大学学报, 1997, 32(6): 586-592. ZHENG Shixiong, XI Shaozhong, YANG Jianzhong. Seismic response analysis of long span rigid frame bridges[J]. Journal of Southwest Jiaotong University, 1997, 32(6): 586-592. 林家浩, 张亚辉. 随机振动的虚拟激励法[M]. 北京:科学出版社, 2004: 140-151. 黄小国, 胡大琳, 张后举. 行波效应对大跨度连续刚构桥地震反应的影响[J]. 长安大学学报:自然科学版, 2008, 28(1): 72-76. HUANG Xiaoguo, HU Dalin, ZHANG Houju. Effects of traveling wave to seismic response of long span rigid-framed bridge[J]. Journal of Chang'an University: Natural Science Edition, 2008, 28(1): 72-76. 魏德敏, 孔鹏, 高晓楠. 大跨斜拉桥非一致激励地震响应研究[J]. 工程抗震与加固改造, 2012, 34(1): 26-30. WEI Demin, KONG Peng, GAO Xiaonan. Investigation for seismic response of a long-span cable-stayed bridge under non-uniform excitation[J]. Earthquake Resistant Engineering and Retrofitting, 2012, 34(1): 26-30. LI Jie, CHEN Jianbing. Stochastic dynamics of structures[M]. Singapore: John Wiley & Sons Pte Ltd, 2009: 191-311. 李杰, 陈建兵. 随机动力系统中的概率密度演化方程及其研究进展[J]. 力学进展, 2010, 40(2): 170-188. LI Jie, CHEN Jianbing. Advances in the research on probability density evolution equations of stochastic dynamical systems[J]. Advances in Mechanics, 2010, 40(2): 170-188. 刘章军, 陈建兵. 结构动力学[M]. 北京:中国水利水电出版社, 2012: 404-406. 刘章军, 李杰. 地震动随机过程的正交展开[J]. 同济大学学报:自然科学版, 2008, 36(9): 1153-1159. LIU Zhangjun, LI Jie. Orthogonal expansion of stochastic processes for earthquake ground motion[J]. Journal of Tongji University: Natural Science, 2008, 36(9): 1153-1159. 刘章军, 李杰. 基于正交展开的非平稳地震动随机过程[J]. 武汉理工大学学报, 2010, 32(9): 101-105. LIU Zhangjun, LI Jie. Non-stationary earthquake ground motion based on orthogonal expansion method[J]. Journal of Wuhan University of Technology, 2010, 32(9): 101-105. 唐建华, 向中富, 冯强, 等. 特大跨连续刚构桥研究与实践:重庆长江大桥复线桥[M]. 北京:人民交通出版社, 2008: 10-16. 华渝生. 重庆石板坡长江大桥复线桥工程:重庆石板坡长江大桥加宽改造工程正桥设计、施工及管理[M]. 重庆:重庆出版社, 2008: 16-34. 普瑞斯特雷 M J N, 塞勃勒 F, 卡尔维 G M. 桥梁抗震设计与加固[M]. 袁万城, 胡勃, 催飞, 等译. 北京:人民交通出版社, 1997: 74-79.
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