地震动频谱特性及与隔震结构损伤相关性研究
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摘要
针对地震动频谱特性的描述方法及频谱特性与结构损伤的相关关系进行了研究。提出了Fourier谱强度频率匹配度、结构振型频率影响系数和类共振放大系数的概念及计算公式;以基础隔震结构作为弹塑性时程分析模型,计算结构整体损伤指数;最后,分别从卓越频率、三大峰值频率和平均频率三个角度研究地震动频谱特性与结构损伤的相关性。研究结果表明:地震动频谱特性对结构造成的损伤与结构各阶振型频率有关,且第一振型频率影响最大;Fourier谱强度频率匹配度越大,表明结构发生类共振的概率越大,造成隔震层和上部结构的损伤也越大;类共振放大系数反映频谱特性对结构造成损伤的程度,平均频率类共振放大系数与结构损伤的相关性最好,用平均频率能够较好地描述地震动的频谱特性。
The spectral characteristics of ground motion and the correlation between spectral characteristics and structural damage were studied. The concept and calculation formula were proposed for the frequency matching degree of Fourier spectral intensity, structural modal frequency influence coefficient and magnification factor of pseudo-resonance. A base-isolated structure model for elastic-plastic history analysis was established and used to calculate the structure overall damage index. The correlation between the spectral characteristics and structure damage was studied in regard to the dominant frequency, three major peak frequencies and average frequency. The results show that the structural damage caused due to spectral characteristics is related to the modal frequency of the structure, and the influence of the first modal frequency is the most significant. The greater the frequency matching degree of Fourier spectral intensity, the greater the possibility of structure pseudo-resonance and the greater the damage index of the isolation layer and the upper structure. The magnification factor of pseudo-resonance reflects the damage degree of the structure caused due to spectral characteristics. It is also found that the average frequency is rather good to represent the spectral characteristics of ground motion.
The spectral characteristics of ground motion and the correlation between spectral characteristics and structural damage were studied. The concept and calculation formula were proposed for the frequency matching degree of Fourier spectral intensity, structural modal frequency influence coefficient and magnification factor of pseudo-resonance. A base-isolated structure model for elastic-plastic history analysis was established and used to calculate the structure overall damage index. The correlation between the spectral characteristics and structure damage was studied in regard to the dominant frequency, three major peak frequencies and average frequency. The results show that the structural damage caused due to spectral characteristics is related to the modal frequency of the structure, and the influence of the first modal frequency is the most significant. The greater the frequency matching degree of Fourier spectral intensity, the greater the possibility of structure pseudo-resonance and the greater the damage index of the isolation layer and the upper structure. The magnification factor of pseudo-resonance reflects the damage degree of the structure caused due to spectral characteristics. It is also found that the average frequency is rather good to represent the spectral characteristics of ground motion.
引文
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[20] 孙广俊,李爱群.关于结构振型参与系数和振型贡献的分析[J].防灾减灾工程学报,2009,29(5):485-490.SUN Guangjun,LI Aiqun.Analysis of mode participation factor and modal contribution of structures[J].Journal of Disaster Prevention & Mitigation Engineering,2009,29(5):485-490.
[21] 辛建雨,钟岱辉,王雪峰,等.巨型框架结构体系的动力特性及地震响应分析[J].工业建筑,2008(增刊1):443-446.XIN Jianyu,ZHONG Daihui,WANG Xuefeng,et al.Dynamic characteristics and seismic response analysis of mega-frame structures [J].Industrial Construction,2008(Sup1):443-446.
[22] 樊嵘,孟大志,徐大舜.统计相关性分析方法研究进展[J].数学建模及其应用,2014,3(1):1-12.FAN Rong,MENG Dazhi,XU Dashun.Survey of research process on statistical correlation analysis[J].Mathematical Modeling & Its Applications,2014,3(1):1-12.
[ 2 ] 汤虎,李建中.地震动特性对公路桥梁板式橡胶支座滑动反应影响[J].工程力学,2013,30(10):154-161.TANG Hu,LI Jianzhong.Effect of ground motion characteristics on sliding response of elastomeric pad bearings in highway birges[J].Engineering Mechanics,2013,30(10):154-161.
[ 3 ] 高剑平,高胜文,李华.远场地震动频谱特性与超高层结构响应相关性研究[J].地震工程与工程振动,2017(1):135-140.GAO Jianping,GAO Shengwen,LI Hua.Correlation between spectral characteristic of far-field ground motion and seismic response of super high-rise building[J].Earthquake Engineering and Engineering Dynamics,2017(1):135-140.
[ 4 ] LI Y,SONG R,VAN DE LINDT J W.Collapse fragility of steel structures subjected to earthquake mainshock- aftershock sequences[J].Journal of Structural Engineering,2014,140(12):04014095.
[ 5 ] 潘志宏,洪博.地震动频谱特性和持时对IDA结果影响的研究[J].振动与冲击,2014,33(5):155-159.PAN Zhihong,HONG Bo.Influence of spectral characteristics and duration of ground motions on results of IDA[J].Journal of Vibration & Shock,2014,33(5):155-159.
[ 6 ] AZARBAKHT A,MOUSAVI M.Discussion of "accounting for ground-motion spectral shape characteristics in structural collapse assessment through an adjustment for epsilon"[J].American Journal of the Medical Sciences,2012,334(1):47-52.
[ 7 ] 凌亮,肖新标,吴磊,等.地震波频谱特性对高速列车动态脱轨行为的影响[J].工程力学,2013,30(1):384-393.LING Liang,XIAO Xinbiao,WU Lei,et al.Effect of spectrum characteristics of seismic wave on derailment of high-speed train[J].Engineering Mechanics,2013,30(1):384-393.
[ 8 ] 代慧娟,白国良,王博,等.近断层滑冲型地震动频谱特性及强度指标研究[J].西安建筑科技大学学报(自然科学版),2013,45(3):383-390.DAI Huijuan,BAI Guoliang,WANG Bo,et al.Study on spectral characteristics and intensity indices of near-fault fling-step-type ground motions[J].Journal of Xi'an University of Architecture & Technology ( Natural Science),2013,45(3):383-390.
[ 9 ] CARLSON C,ZEKKOS D,ATHANASOPOULOS-ZEKKOS A.Predictive equations to quantify the impact of spectral matching on ground motion characteristics[J].Earthquake Spectra,2016,32(1):125-142.
[10] SUCUOGLU H,NURTUG A.Earthquake ground motion characteristics and seismic energy dissipation[J].Earthquake Engineering & Structural Dynamics,1995,24(9):1195-1213.
[11] 潘毅,季晨龙,卢立恒,等.地震动频谱特性对基础隔震结构双向地震响应的影响[J].土木工程学报,2013,46(5):50-55.PAN Yi,JI Chenlong,LU Liheng,et al.Effects of ground motion characteristics on bilateral seismic responses of base-isolated structures[J].China Civil Engineering Journal,2013,46(5):50-55.
[12] RATHJE E M,ABRHAMSON N A,BRAY J D.Simplified frequency content estimates of earthquake ground motions[J].Journal Geotechnical and Geoenvironmental Engineering,1998,124(2):150-159.
[13] 沈绍建,刘伟庆,杜东升,等.地震动频谱特性对隔震结构非线性地震响应的影响[J].南京工业大学学报,2013,35(3):1-5.SHEN Shaojian,LIU Weiqing,DU Dongsheng,et al.Effects of nonlinear seismic of isolated structures on spectrum characteristics of ground motions[J].Journal of Nanjing University of Technology,2013,35(3):1-5.
[14] 徐菁菁.考虑频谱特性的主余震作用下结构损伤演化[D].大连:大连理工大学,2016.
[15] 杜永峰,徐天妮,洪娜.不同震源机制的近断层脉冲型地震动频谱特性及强度指标研究[J].土木工程学报,2017,50(5):81-87.DU Yongfeng,XU Tianni,HONG Na.Spectral and intensity indices of near-fault ground motions based on different focal mechanisms[J].China Civil Engineering Journal,2017,50(5):81-87.
[16] CORDUA K S,HANSEN T M,MOSEGAARD K.Improving the pattern reproducibility of multiple-point-based prior models using frequency matching[J].Mathematical Geosciences,2015,47(3):317-343.
[17] PARK Y J,AUG A H S.Mechanistic seismic damage model for reinforce concrete[J].Journal of Structural Engineering,ASCE,1985,111 (4):722-739.
[18] BERTERO R D,BERTERO V V.Performance-based seismic engineering:the need for a reliable conceptual comprehensive approach[J].Earthquake Engineering and Structural Dynamics,2002,31 (3):627-652.
[19] 杜东升,王曙光,刘伟庆,等.地震动频谱特性对基础隔震结构响应及损伤影响研究[J].振动与冲击,2015,34(20):203-213.DU Dongsheng,WANG Shuguang,LIU Weiqing,et al.Influences of spectral characteristics of earthquake ground motion on seismic responses and damages of base isolated structures[J].Journal of Vibration and Shock,2015,34(20):203-213.
[20] 孙广俊,李爱群.关于结构振型参与系数和振型贡献的分析[J].防灾减灾工程学报,2009,29(5):485-490.SUN Guangjun,LI Aiqun.Analysis of mode participation factor and modal contribution of structures[J].Journal of Disaster Prevention & Mitigation Engineering,2009,29(5):485-490.
[21] 辛建雨,钟岱辉,王雪峰,等.巨型框架结构体系的动力特性及地震响应分析[J].工业建筑,2008(增刊1):443-446.XIN Jianyu,ZHONG Daihui,WANG Xuefeng,et al.Dynamic characteristics and seismic response analysis of mega-frame structures [J].Industrial Construction,2008(Sup1):443-446.
[22] 樊嵘,孟大志,徐大舜.统计相关性分析方法研究进展[J].数学建模及其应用,2014,3(1):1-12.FAN Rong,MENG Dazhi,XU Dashun.Survey of research process on statistical correlation analysis[J].Mathematical Modeling & Its Applications,2014,3(1):1-12.