考虑土-结构动力相互作用的框架结构的参数识别研究
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摘要
对一座采用柱下独立基础的钢筋混凝土4层框架结构进行了随着层数增加的4种工况模态实验,用脉冲锤击法测试得到了各种工况的整体模态频率和振型。考虑地基-基础-上部结构动力相互作用,上部框架结构采用缩聚得到的弯剪结构模型,下部基础利用Pais等人提出的弹性地基上埋置矩形板的地基阻抗函数进行简化处理得到的计算模型。在满足地基动剪模量和各层混凝土的弹性模量随框架层数的增加而增加的原则下,建立了4种工况下的多目标优化准则。将基于频率数据识别欠定问题的灵敏度方法进行了结构物理参数以及地基参数同时识别,识别得到的模态实验值与测试值符合良好。识别结果能够反应地基基础对结构的影响并为进一步损伤诊断提供了依据。
Four cases of experimental modal analyses,with variation of the number of stories,were conducted for a four-story reinforced concrete frame structure with independent footing under the columns.The hammer impulse method was employed to measure the global modal frequencies and the mode shapes of each case.Considering the dynamic interaction of the soil-base-structure,a shear-bending frame model is employed for the superstructure,and the simplified embedded square slab's impedance function proposed by Pais et al.is employed as for the infrastructure.Using the criterion that the foundation's dynamic shear modulus and story's elastic modulus will increase with the increase in stories,a multi-objective optimization criterion is formulated.A sensitivity method for under-determined problems,using frequencies,is employed to identify the physical parameters and foundation parameters simultaneously.The identified modes match well with the measured ones.The identified parameters can reflect the influence of foundation on the structure and provide the basis for damage identification.
Four cases of experimental modal analyses,with variation of the number of stories,were conducted for a four-story reinforced concrete frame structure with independent footing under the columns.The hammer impulse method was employed to measure the global modal frequencies and the mode shapes of each case.Considering the dynamic interaction of the soil-base-structure,a shear-bending frame model is employed for the superstructure,and the simplified embedded square slab's impedance function proposed by Pais et al.is employed as for the infrastructure.Using the criterion that the foundation's dynamic shear modulus and story's elastic modulus will increase with the increase in stories,a multi-objective optimization criterion is formulated.A sensitivity method for under-determined problems,using frequencies,is employed to identify the physical parameters and foundation parameters simultaneously.The identified modes match well with the measured ones.The identified parameters can reflect the influence of foundation on the structure and provide the basis for damage identification.
引文
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[15]王杰贤.动力地基与基础[M].北京:科学出版社,2001:105-106(Wang Jiexian.Dynamic foundation and basement[M].Beijing:Science Press,2001(in Chinese))
[16]Qian J,Beskos D E.Dynamic interaction between 3-D rigidsurface foundations and comparison with the ATC-3 provi-sions[J].Journal of Engineering Mechanics,ASCE,2002,128(4):438-448
[2]Wong H L,Trifunac M D.A comparison of soil-structureinteraction calculations with results of full-scale forced vi-bration tests[J].Soil Dynamics and Earthquake Engineer-ing,1988,7(1):22-31
[3]Trifunac M D,Ivanovic S S,Todorovska M I.Apparentperiods of a building.I:Fourier analysis[J].Journal ofStructural Engineering,2001,127(5):517-526
[4]Hans S,Boutin C,Ibraim E.In situ experiments and seismicanalysis of existing buildings.Part I:Experimental investiga-tions[J].Earthquake Engineering and Structural Dynamics,2005,34(12):1513-1529
[5]Luco J E,de Barros F C P.Identification of structural andsoil properties from vibration tests of the Hualien contain-ment model[J].Earthquake Engineering and Structural Dy-namics,2005,34(1):21-48
[6]Kobayashi T,Kan S,Yamaya H,et al.System identificationof the hualien LSST model structure[J].Earthquake Engi-neeringand Structural Dynamics,1997,26(11):1157-1167
[7]Choi J S,Lee J S,Yun C B.Input and system identificationof the Hualien soil-structure interaction system using earth-quake response data[J].Earthquake Engineering and Struc-tural Dynamics,2003,32(13):1955-1975
[8]陈跃庆,吕西林,李培振,等.分层土-基础-高层框架结构相互作用体系振动台模型试验研究[J].地震工程与工程振动,2001,21(3):104-112(Chen Yueqing,Lu Xilin,Li Peizhen,et al.Shakingtable testingfor layered soil-founda-tion-structure interaction system[J].Earthquake Engineeringand Engineering Vibration,2001,21(3):104-112(inChinese))
[9]刘增荣,黄义,尹冠生.一种新的地基参数确定方法[J].西安公路交通大学学报,2000,20(3):25-28(Liu Zengrong,Huang Yi,Ying Guansheng.A method of determining thelayer foundation parameters[J].Journal of Xi’an HighwayUniversity,2000,20(3):25-28(in Chinese))
[10]Pais A,Kausel E.Approximate formulas for dynamic stiff-ness of rigid foundations[J].Soil Dynamic and EarthquakeEngineering,1988,7(4):213-227
[11]蒯行成.地基-基础-上部结构动力相互作用分析[D].长沙:湖南大学,1998(Kuai Xingcheng.Analysis of DynamicSoil-Foundation-upper-structure interaction[D].Changsha:Hunan University,1998(in Chinese))
[12]Sanayei M,McClain J,Fascetti S W.Parameter estimationincorporating modal data and boundary conditions[J].Jour-nal of Structural Engineering,1999,125(9):1049-1055
[13]徐丽.基于模态参数的混凝土框架结构损伤诊断研究[D].长沙:湖南大学,2004(Xu Li.Research on damagedetection of reinforced concrete frame structures based onmodal parameters[D].Changsha:Hunan University,2004(in Chinese))
[14]Cheng F Y,Li D.Multiobjective optimization design withpareto genetic algorithm[J].Journal of Structural Engineer-ing,123(9):1252-1261
[15]王杰贤.动力地基与基础[M].北京:科学出版社,2001:105-106(Wang Jiexian.Dynamic foundation and basement[M].Beijing:Science Press,2001(in Chinese))
[16]Qian J,Beskos D E.Dynamic interaction between 3-D rigidsurface foundations and comparison with the ATC-3 provi-sions[J].Journal of Engineering Mechanics,ASCE,2002,128(4):438-448
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