基岩地震谱与地震动位移输入的土–结构相互作用(SSI)计算模型改进
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摘要
对基岩地震动输入的适用性和SSI计算模型的合理性进行研究。首先,借鉴已有基岩地震谱表达式,采用数值方法修正高频段过滤函数,得到适用于我国目标场地的基岩地震谱;然后,分析当前位移输入的SSI计算模型,指出所存在的因单元尺寸划分逐步精细而导致的不收敛问题,推广无质量刚性元(massless rigid element,MRE)法解决这一问题,并给出MRE、结构系统和黏弹性人工边界三者间连接示意图;最后,基于上述工作和随机振动理论生成基岩地震动位移输入谱,对一算例进行分析,结果表明采用MRE法解决SSI计算模型的可行性。研究工作可为土–结构共同作用相关问题的研究提供参考。
The applicability of spectra of bedrock earthquake motion and rationality of calculation model considering soil-structure interaction(SSI) for structural seismic response analysis are studied.Firstly,in order to obtain the spectra of bedrock earthquake motion in China,not only the expressions of the current spectra of earthquake bedrock motion are compared and the preferred one is selected;but also the high-cut filter function is modified to fit the recorded earthquake motion of target fields in China.Then,the current SSI calculation model for structural seismic response analysis is expounded essentially;and the unnegligible problem inherent in the model is pointed out.To solve the problem,the massless rigid element(MRE) method proposed by the authors to solve the problem inherent in the earthquake ground displacement input model is extended and applied to solve the corresponding problem in the current bedrock displacement input model considering SSI effect.At last,based on the works above,the program for generating bedrock displacement spectrum is coded and a soil-layers model is analyzed.The analysis results can further indicate that the MRE method is quite applicable to the calculation model considering SSI effect.The works of this paper can provide necessary reference for the relevant study of SSI effect.
The applicability of spectra of bedrock earthquake motion and rationality of calculation model considering soil-structure interaction(SSI) for structural seismic response analysis are studied.Firstly,in order to obtain the spectra of bedrock earthquake motion in China,not only the expressions of the current spectra of earthquake bedrock motion are compared and the preferred one is selected;but also the high-cut filter function is modified to fit the recorded earthquake motion of target fields in China.Then,the current SSI calculation model for structural seismic response analysis is expounded essentially;and the unnegligible problem inherent in the model is pointed out.To solve the problem,the massless rigid element(MRE) method proposed by the authors to solve the problem inherent in the earthquake ground displacement input model is extended and applied to solve the corresponding problem in the current bedrock displacement input model considering SSI effect.At last,based on the works above,the program for generating bedrock displacement spectrum is coded and a soil-layers model is analyzed.The analysis results can further indicate that the MRE method is quite applicable to the calculation model considering SSI effect.The works of this paper can provide necessary reference for the relevant study of SSI effect.
引文
[1]岩松宏.地下结构随机地震响应分析及其动力可靠度研究[J].岩石力学与工程学报,2004,23(2):355.(YAN Songbo.Dynamic analysis of longitudinal seismic reliability of underground structures[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(2):355.(in Chinese))
[2]王国新.强震地震动衰减研究[博士学位论文][D].哈尔滨:中国地震局工程力学研究所,2001.(WANG Guoxin.A study on strong ground motion attenuation[Ph.D.Thesis][D].Harbin:Institute of Engineering Mechanics of China Seismological Bureau,2001.(in Chinese))
[3]HAO H,GAULL B A.Prediction of seismic ground motion in Perth Western Australia for engineering application[C]//Proceedings of the 13th World Conference on Earthquake Engineering.Vancouver,Canada:[s.n.],2004:1892.
[4]HANKS T,KANAMORI H.A moment magnitude scale[J].Journal of Geophysical Research,1979,84(B5):2 348–2 350.
[5]HANKS T,MCGUIRE R.The character of high-frequency strong ground motion[J].Bulletin of Seismological Society of America,1981,71(6):2 071–2 095.
[6]BRUNE J N.Tectonic stress and the spectra of seismic shear waves from earthquakes[J].Journal of Geophysical Research,1970,75(26):4 997–5 009.
[7]BRUNE J N.Correction[J],Journal of Geophysical Research,1971,76(20):5002.
[8]ATKINSON G M.Earthquake source spectra in eastern North America[J].Bulletin of Seismological Society of America,1993,83(6):1 778–1 798.
[9]ATKINSON G M,BOORE D M.Ground-motion relations for eastern North America[J].Bulletin of Seismological Society of America,1995,85(1):17–30.
[10]MASUDA T.Scaling relations for source parameters of microearthquakes in the northeastern part of Japan[Ph.D.Thesis][D].Senda city,Japan:Tohoku University,1982.
[11]黄少鹏.我国大陆地区大地热流与地壳厚度的变化[J].地球物理学报,1992,35(4):441–450.(HUANG Shaopeng.Variations of heat flow and crustal thickness in the continental area of China[J].Chinese Journal of Geophysics,1992,35(4):441–450.(in Chinese))
[12]WILSON E L.Static and dynamic analysis of structures:a physical approach with emphasis on earthquake engineering[M].Berkeley,California:Computers and Structures,Inc.,2004:319
[13]田玉基,杨庆山.地震地面运动作用下结构反应的分析模型[J].工程力学,2005,22(6):170–174.(TIAN Yuji,YANG Qingshan.Analysis models and methods for structural seismic responses[J].Engineering Mechanics,2005,22(6):170–174.(in Chinese))
[14]柳国环,李宏男,林海.结构地震响应计算模型的比较与分析[J].工程力学,2009,26(2):10–15.(LIU Guohuan,LI Hongnan,LIN Hai.Model comparison and analysis for structural seismic responses[J].Engineering Mechanics,2009,26(2):10–15.(in Chinese))
[15]柳国环,李宏男,国巍.求解结构地震响应位移输入模型存在的问题及其AMCE实效对策[J].计算力学学报,2009,26(6):862–869.(LIU Guohuan,LI Hongnan,GUO Wei.Existing problem of displacement input model for calculating structural responses under earthquake ground motion and its an actual effective solution method called AMCE[J].Chinese Journal of Computational Mechanics,2009,26(6):862–869.(in Chinese))
[16]柳国环,李宏男,国巍,等.求解结构地震响应位移输入模型中存在问题的一种新解决方法[J].工程力学,2010,27(9):55–62.(LIU Guohuan,LI Hongnan,GUO Wei,et al.A new method for solving existing problem of current displacement input model for calculating structural seismic responses[J].Engineering Mechanics,2010,27(9):55–62.(in Chinese))
[17]刘晶波,王振宇,杜修力,等.波动问题中的三维时域黏弹性人工边界[J].工程力学,2005,22(6):46–51.(LIU Jingbo,WANG Zhenyu,DU Xiuli,et al.Three-dimensional viscous-spring artificial boundaries in time domain for wave motion problems[J].Engineering Mechanics,2005,22(6):46–51.(in Chinese))
[18]刘晶波,谷音,杜义欣.一致黏弹性人工边界及黏弹性边界单元[J].岩土工程学报,2006,28(9):1 070–1 075.(LIU Jingbo,GU Yin,DU Yixin.Consistent viscous-spring artificial boundary and viscous-spring boundary element[J].Chinese Journal of Geotechnical Engineering,2006,28(9):1 070–1 075.(in Chinese))
[2]王国新.强震地震动衰减研究[博士学位论文][D].哈尔滨:中国地震局工程力学研究所,2001.(WANG Guoxin.A study on strong ground motion attenuation[Ph.D.Thesis][D].Harbin:Institute of Engineering Mechanics of China Seismological Bureau,2001.(in Chinese))
[3]HAO H,GAULL B A.Prediction of seismic ground motion in Perth Western Australia for engineering application[C]//Proceedings of the 13th World Conference on Earthquake Engineering.Vancouver,Canada:[s.n.],2004:1892.
[4]HANKS T,KANAMORI H.A moment magnitude scale[J].Journal of Geophysical Research,1979,84(B5):2 348–2 350.
[5]HANKS T,MCGUIRE R.The character of high-frequency strong ground motion[J].Bulletin of Seismological Society of America,1981,71(6):2 071–2 095.
[6]BRUNE J N.Tectonic stress and the spectra of seismic shear waves from earthquakes[J].Journal of Geophysical Research,1970,75(26):4 997–5 009.
[7]BRUNE J N.Correction[J],Journal of Geophysical Research,1971,76(20):5002.
[8]ATKINSON G M.Earthquake source spectra in eastern North America[J].Bulletin of Seismological Society of America,1993,83(6):1 778–1 798.
[9]ATKINSON G M,BOORE D M.Ground-motion relations for eastern North America[J].Bulletin of Seismological Society of America,1995,85(1):17–30.
[10]MASUDA T.Scaling relations for source parameters of microearthquakes in the northeastern part of Japan[Ph.D.Thesis][D].Senda city,Japan:Tohoku University,1982.
[11]黄少鹏.我国大陆地区大地热流与地壳厚度的变化[J].地球物理学报,1992,35(4):441–450.(HUANG Shaopeng.Variations of heat flow and crustal thickness in the continental area of China[J].Chinese Journal of Geophysics,1992,35(4):441–450.(in Chinese))
[12]WILSON E L.Static and dynamic analysis of structures:a physical approach with emphasis on earthquake engineering[M].Berkeley,California:Computers and Structures,Inc.,2004:319
[13]田玉基,杨庆山.地震地面运动作用下结构反应的分析模型[J].工程力学,2005,22(6):170–174.(TIAN Yuji,YANG Qingshan.Analysis models and methods for structural seismic responses[J].Engineering Mechanics,2005,22(6):170–174.(in Chinese))
[14]柳国环,李宏男,林海.结构地震响应计算模型的比较与分析[J].工程力学,2009,26(2):10–15.(LIU Guohuan,LI Hongnan,LIN Hai.Model comparison and analysis for structural seismic responses[J].Engineering Mechanics,2009,26(2):10–15.(in Chinese))
[15]柳国环,李宏男,国巍.求解结构地震响应位移输入模型存在的问题及其AMCE实效对策[J].计算力学学报,2009,26(6):862–869.(LIU Guohuan,LI Hongnan,GUO Wei.Existing problem of displacement input model for calculating structural responses under earthquake ground motion and its an actual effective solution method called AMCE[J].Chinese Journal of Computational Mechanics,2009,26(6):862–869.(in Chinese))
[16]柳国环,李宏男,国巍,等.求解结构地震响应位移输入模型中存在问题的一种新解决方法[J].工程力学,2010,27(9):55–62.(LIU Guohuan,LI Hongnan,GUO Wei,et al.A new method for solving existing problem of current displacement input model for calculating structural seismic responses[J].Engineering Mechanics,2010,27(9):55–62.(in Chinese))
[17]刘晶波,王振宇,杜修力,等.波动问题中的三维时域黏弹性人工边界[J].工程力学,2005,22(6):46–51.(LIU Jingbo,WANG Zhenyu,DU Xiuli,et al.Three-dimensional viscous-spring artificial boundaries in time domain for wave motion problems[J].Engineering Mechanics,2005,22(6):46–51.(in Chinese))
[18]刘晶波,谷音,杜义欣.一致黏弹性人工边界及黏弹性边界单元[J].岩土工程学报,2006,28(9):1 070–1 075.(LIU Jingbo,GU Yin,DU Yixin.Consistent viscous-spring artificial boundary and viscous-spring boundary element[J].Chinese Journal of Geotechnical Engineering,2006,28(9):1 070–1 075.(in Chinese))
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