考虑边界约束条件的悬索桥有限元模型修正研究
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摘要
针对以往模型修正过程中常忽略边界约束条件影响的问题,为考虑大桥初始有限元模型中边界约束条件与实际情况的差别,以某塔梁分离的悬索桥为工程背景,以现场动载测试结果为基本依据,采用Combine14单元模拟该悬索桥加劲梁的纵向约束作用,运用响应面方法并结合大桥特点选取一系列算法组合考虑了边界约束条件对悬索桥初始有限元模型的影响,并对其进行修正。研究结果表明:考虑了边界约束条件的修正结果与悬索桥实测值更为接近,且各修正参数的修正量均在合理范围内,验证了上述考虑边界约束条件的方法在有限元模型修正中的有效性。修正后的模型可以作为该悬索桥的基准有限元模型,并可为大桥的进一步响应分析提供基础。
The effects of boundary condition constraints are always ignored in the previous studies. To consider the differences between the boundary condition constraints in the bridge's initial finite element model and those in the real bridge, a tower-beam separation suspension bridge was taken as the engineering background in the present study. Based on the dynamic loading test results in the field measurements, the Combine14 element was adopted to model the longitudinal constraint conditions of stiffening girders of the suspension bridge. By combining the response surface method with the bridge's features, a series of algorithms were selected to consider the effects of boundary condition constraints on the bridge's initial finite element model, and then to update its initial finite element model. The results show that the updated results with considering the effects of boundary condition constraints are much closer to the field measurements results of the suspension bridge, and the updating values of all updating parameters are in reasonable ranges, indicating that the above method of considering the effects of boundary condition constraints is effective in the finite element model updating. The updated finite element model can be taken as the baseline finite element model for the suspension bridge with providing the basic for further response analysis of the bridge.
The effects of boundary condition constraints are always ignored in the previous studies. To consider the differences between the boundary condition constraints in the bridge's initial finite element model and those in the real bridge, a tower-beam separation suspension bridge was taken as the engineering background in the present study. Based on the dynamic loading test results in the field measurements, the Combine14 element was adopted to model the longitudinal constraint conditions of stiffening girders of the suspension bridge. By combining the response surface method with the bridge's features, a series of algorithms were selected to consider the effects of boundary condition constraints on the bridge's initial finite element model, and then to update its initial finite element model. The results show that the updated results with considering the effects of boundary condition constraints are much closer to the field measurements results of the suspension bridge, and the updating values of all updating parameters are in reasonable ranges, indicating that the above method of considering the effects of boundary condition constraints is effective in the finite element model updating. The updated finite element model can be taken as the baseline finite element model for the suspension bridge with providing the basic for further response analysis of the bridge.
引文
[1]LIU Yang,YANG Changxi,TAN Zhicheng.Hybrid element-based virtual distortion method for finite element model updating of bridges with wide-box girders[J].Engineering Structures,2017(143):558-570.
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[7]王蕾,郁胜,李宾宾,等.基于径向基神经网络的桥梁有限元模型修正[J].土木工程学报,2012(增2):11-15.WANG Lei,YU Sheng,LI Binbin,et al.Revision of finite element model of bridge based on radial basis function neural network[J].China Civil Engineering Journal,2012(Suppl 2):11-15.
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[12]彭涛.基于环境激励的大跨度桥梁模态分析及应用研究[D].长沙:长沙理工大学,2007.PENG Tao.Modal analysis and application research of long-span bridges based on environmental excitation[D].Changsha:Changsha University of Science and Technology,2007.
[13]SONG Xingyu,MA Hongwei,WANG Kun.A new developed modal parameter identification method based on empirical mode decomposition and natural excitation technique[J].Procedia Engineering,2017(199):1020-1025.
[2]单德山,孙松松,黄珍,等.基于试验数据的吊拉组合模型桥梁有限元模型修正[J].土木工程学报,2014,47(10):88-95.SHAN Deshan,SUN Songsong,HUANG Zhen,et al.Finite element model updating of combined cable-stayed suspension model bridge based on experimental data[J].China Civil Engineering Journal,2014,47(10):88-95.
[3]任伟新,陈华斌.基于响应面的桥梁有限元模型修正[J].土木工程学报,2008,41(12):73-78.REN Weixin,CHEN Huabin.Finite element model updating of bridge based on response surface[J].China Civil Engineering Journal,2008,41(12):73-78.
[4]魏锦辉,任伟新.结构有限元模型修正的自适应响应面法[J].振动与冲击,2013,32(8):114-119.WEI Jinhui,REN Weixin.Adaptive response surface method for finite element model modification of structures[J].Journal of Vibration and Shock,2013,32(8):114-119.
[5]周林仁,欧进萍.基于径向基函数响应面方法的大跨度斜拉桥有限元模型修正[J].中国铁道科学,2012,33(3):8-15.ZHOU Linren,OU Jinping.Finite element model updating of long-span cable-stayed bridge based on radial basis function response surface method[J].China Railway Science,2012,33(3):8-15.
[6]李刚.基于静动力响应面的梁桥有限元模型修正方法研究[D].成都:西南交通大学,2018.LI Gang.Research on finite element method updating for beam bridge based on static and dynamic response surface[D].Chengdu:Southwest Jiaotong University,2018.
[7]王蕾,郁胜,李宾宾,等.基于径向基神经网络的桥梁有限元模型修正[J].土木工程学报,2012(增2):11-15.WANG Lei,YU Sheng,LI Binbin,et al.Revision of finite element model of bridge based on radial basis function neural network[J].China Civil Engineering Journal,2012(Suppl 2):11-15.
[8]ZONG Zhouhong,LIN Xiaosong,NIU Jie.Finite element model validation of bridge based on structural health monitoring-Part I:Response surface-based finite element model updating[J].Journal of Traffic and Transportation Engineering(English Edition),2015,2(4):258-278.
[9]Mertler C A,Reinhart R V.Advanced and multivariate statistical methods:practical application and interpretation[M].6th ed.London:Routledge,2016.
[10]Fox J.Applied regression analysis and generalized linear models[M].3rd ed.Los Angeles:SAGE Publications,Inc,2015.
[11]Corrado C,Chiara B,Claudio A.Dynamic and static identification of base-isolated bridges using genetic algorithms[J].Engineering Structures,2015(102):80-92.
[12]彭涛.基于环境激励的大跨度桥梁模态分析及应用研究[D].长沙:长沙理工大学,2007.PENG Tao.Modal analysis and application research of long-span bridges based on environmental excitation[D].Changsha:Changsha University of Science and Technology,2007.
[13]SONG Xingyu,MA Hongwei,WANG Kun.A new developed modal parameter identification method based on empirical mode decomposition and natural excitation technique[J].Procedia Engineering,2017(199):1020-1025.