基于结构频响函数的再生混凝土框架地震作用损伤评估
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摘要
结构遭受地震作用时,其内部损伤的累积会导致该结构频响函数曲线的变化,这可为评估结构损伤程度提供依据。利用ABAQUS有限元软件,对1榀2层单跨平面再生混凝土框架拟动力试验进行有限元分析,计算结果与试验值吻合良好。通过对再生混凝土框架频响函数曲线的分析可知,结构1阶和2阶自振频率分别在2.5 Hz和6.0 Hz附近变化,随着地震峰值加速度的不断增大,结构自振频率不断降低,反映损伤累积导致结构刚度的不断退化。基于结构的频响函数,提出可用于评判框架结构在地震作用下损伤程度的指标。分析结果表明:该损伤评估方法能有效评判再生混凝土框架在不同强度地震作用下的损伤程度。
The accumulation of damage in a structure during an earthquake leads to changes in frequency response function(FRF) of the structure,and it can be used as the basis for evaluating the seismic damage condition of this structure.The finite element software ABAQUS was adopted to simulate a series of pseudo-dynamic test for a one-bay,two-story plane recycled aggregate concrete(RAC) frame.It is found that the analytical results agree well with the experimental results.Analysis of the FRFs of the RAC fame indicates that the natural frequencies for the 1st and 2nd mode are around 2.5 Hz and 6.0 Hz,respectively.The natural frequency of the tested frame decreases continuously as peak ground acceleration(PGA) increases,which indicates the accumulated damages in the frame lead to a decrease of stiffness.A damage index based on FRF was proposed for assessing the damage condition of the frame.Analytical results indicate that the damage index performs well in evaluating damage conditions for the frame subjected to different PGAs.
The accumulation of damage in a structure during an earthquake leads to changes in frequency response function(FRF) of the structure,and it can be used as the basis for evaluating the seismic damage condition of this structure.The finite element software ABAQUS was adopted to simulate a series of pseudo-dynamic test for a one-bay,two-story plane recycled aggregate concrete(RAC) frame.It is found that the analytical results agree well with the experimental results.Analysis of the FRFs of the RAC fame indicates that the natural frequencies for the 1st and 2nd mode are around 2.5 Hz and 6.0 Hz,respectively.The natural frequency of the tested frame decreases continuously as peak ground acceleration(PGA) increases,which indicates the accumulated damages in the frame lead to a decrease of stiffness.A damage index based on FRF was proposed for assessing the damage condition of the frame.Analytical results indicate that the damage index performs well in evaluating damage conditions for the frame subjected to different PGAs.
引文
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[13]Xiao J,Li J,Zhang C.Mechanical properties of recycled aggregate concrete under uniaxial loading[J].Cement and Concrete Research,2005,35(6):11871194.
[14]王金昌,陈页开.ABAQUS在土木工程中的应用[M].杭州:浙江大学出版社,2006:76-79.
[15]Sidoroff F.Description of anisotropic damage application to elasticity[C]//Proceedings of the IUTAM Colloqium on Physical Non-Linearities in Structural Analysis.Berlin:Springer-Verlag,1981:237-244.
[16]张新培.钢筋混凝土抗震结构非线性分析[M].北京:科学出版社,2003:81-82.
[17]过镇海,时旭东.钢筋混凝土原理和分析[M].北京:清华大学出版社,2003:133-136.
[18]蒋欢军,和留生,吕西林,等.上海中心大厦抗震性能分析和振动台试验研究[J].建筑结构学报,2011,32(11):55-63.(JIANG Huanjun,HE Liusheng,LU Xilin,et al.Analysis of seismic performance and shaking table tests of the Shanghai Tower[J].Journal of Building Structures,2011,32(11):55-63.(in Chinese))
[19]Maia N M M,Silva J M M,Almas E A M,et al.Damage detection in structures:from mode shape to frequency response function methods[J].Mechanical Systems and Signal Processing,2003,17(3):489498.
[20]Labat D.Recent advances in wavelet analyses:part 1:a review of concepts[J].Journal of Hydrology,2005,314(1):275-288.
[2]Xiao J,Huang X,Shen L.Seismic behavior of semiprecast column with recycled aggregate concrete[J].Construction and Building Materials,2012,35:9881001.
[3]Morassi A,RovereN.Loealizing a notch in a steel from frequency measurements[J].Journal of Struetural Engineering,ASCE,1997,123(5):422-432.
[4]Kam T Y,Lee T Y.Deteetion of cracks in structures using modal test data[J].Engineering Fracture Meehanies,1992,42(2):381-387.
[5]Allemang R J,Brown D L.A correlation coefficient for modal vector analysis[C]//Proceedings of the 1st International Modal Analysis Conference.Bethel,CT:SEM,1982:110-116.
[6]Lieven N A J,Ewins D J.Spatial correlation of mode shapes,the coordinate modal assurance criterion(COMAC)[C]//Proceedings of the 6th International Modal Analysis Conference.Bethel,CT:SEM,1988:690-695.
[7]于德介,雷慧,程军圣.基于BP神经网络与柔度变化的结构破损诊断[J].振动工程学报,2001,14(3):345-348.(Yu Dejie,Lei Hui,Cheng Junsheng.A method for structural damage detection based on back propagation neural network and flexibility changes[J].Journal of Vibration Engineering,2001,14(3):345348.(in Chinese))
[8]Clough R W,Penzien J.Dynamics of structures[M].New York:McGraw-Hill,1993:511-523.
[9]陈健,陈丽华,柳炳康,等.再生混凝土框架拟动力试验研究分析[J].安徽建筑工业学院学报:自然科学版,2011,19(3):22-25.(CHEN Jian,CHEN Lihua,LIU Bing-kang,et al.Pseudo-dynamic test and analysis of recycled concrete frame[J].Journal of Anhui Institute of Architecture&Industry:Natural Science,2011,19(3):22-25.(in Chinese))
[10]GB 50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010:32.(GB 50011—2010 Code for seismic design of buildings[S].Beijing:China Architecture&Building Press,2010:32.(in Chinese))
[11]过镇海.混凝土的强度和变形:试验基础与本构关系[M].北京:清华大学出版社,1997:32-33.
[12]肖建庄.再生混凝土[M].北京:中国建筑工业出版社,2008:59.
[13]Xiao J,Li J,Zhang C.Mechanical properties of recycled aggregate concrete under uniaxial loading[J].Cement and Concrete Research,2005,35(6):11871194.
[14]王金昌,陈页开.ABAQUS在土木工程中的应用[M].杭州:浙江大学出版社,2006:76-79.
[15]Sidoroff F.Description of anisotropic damage application to elasticity[C]//Proceedings of the IUTAM Colloqium on Physical Non-Linearities in Structural Analysis.Berlin:Springer-Verlag,1981:237-244.
[16]张新培.钢筋混凝土抗震结构非线性分析[M].北京:科学出版社,2003:81-82.
[17]过镇海,时旭东.钢筋混凝土原理和分析[M].北京:清华大学出版社,2003:133-136.
[18]蒋欢军,和留生,吕西林,等.上海中心大厦抗震性能分析和振动台试验研究[J].建筑结构学报,2011,32(11):55-63.(JIANG Huanjun,HE Liusheng,LU Xilin,et al.Analysis of seismic performance and shaking table tests of the Shanghai Tower[J].Journal of Building Structures,2011,32(11):55-63.(in Chinese))
[19]Maia N M M,Silva J M M,Almas E A M,et al.Damage detection in structures:from mode shape to frequency response function methods[J].Mechanical Systems and Signal Processing,2003,17(3):489498.
[20]Labat D.Recent advances in wavelet analyses:part 1:a review of concepts[J].Journal of Hydrology,2005,314(1):275-288.
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