非匀质场地地震反应的模态叠加法解
|
摘要
将模态叠加法应用于刚性基岩上、受竖直向上传播的稳态剪切地震波激振下剪切刚度沿深度按指数规律增长的单层非匀质场地土模型的地震反应分析,求得有效振型参与系数的解。在算例分析中将此类非匀质场地与剪切波速取为平均值的匀质场地的有效振型参与系数进行了比较,并验证了第一阶固有频率的工程估算式仍可用于此类非匀质场地,且其对估算高阶固有频率是个很重要的参数。
The mode-superposition method is applied to the analysis of seismic response of an inhomogeneous site which is excited by vertically propagating shear waves.The solutions for effective modal participation factor are presented for a single layer with a shear stiffness distribution exponentially increasing with depth.In an example the solutions are compared with those of a homogeneous site with an average shear wave velocity.The example also verifies that the natural frequency for the first mode can still be estimated from the formula in engineering and is an important parameter for estimating the high mode frequencies.
The mode-superposition method is applied to the analysis of seismic response of an inhomogeneous site which is excited by vertically propagating shear waves.The solutions for effective modal participation factor are presented for a single layer with a shear stiffness distribution exponentially increasing with depth.In an example the solutions are compared with those of a homogeneous site with an average shear wave velocity.The example also verifies that the natural frequency for the first mode can still be estimated from the formula in engineering and is an important parameter for estimating the high mode frequencies.
引文
[1]Idriss I M,Seed H B.Seismic response of horizontal soil lay-ers[J].Journal of the Soil Mechanics and Foundations Divi-sion,ASCE,1968,94(4):1003-1031.
[2]Davis R.Effects of weathering on site response[J].Earth-quake Engineering and Structure Dynamics,1995,24(2):301-309.
[3]Zhao J X.Estimating modal parameters for a simple soft-soilsite having a linear distribution of shear wave velocity withdepth[J].Earthquake Engineering and Structure Dynamics,1996,25(2):163-178.
[4]Zhao J X.Modal analysis of soft-soil sites including radiationdamping[J].Earthquake Engineering and Structure Dynam-ics,1997,26(1):93-113.
[5]栾茂田,金崇磐,林皋.非均质地基振动特性及地震反应分析[J].大连理工大学学报,1992,32(1):81-87.
[6]栾茂田,刘占阁.成层场地振动特性及地震反应简化解析解的完整形式[J].岩土工程学报,2003,25(6):747-749.
[7]楼梦麟.变参数土层的动力特性和地震反应分析[J].同济大学学报,1997,25(2):155-160.
[8]李刚,任慧,尚守平.上覆非线性场地土的振动分析[J].湖南大学学报(自然科学版),2003,30(6):86-89.
[9]王爱勤,王春玲.指数函数模量成层地基上变截面坝的随机地震反应分析[J].西北地震学报,2008,30(1):31-35.
[10]Ballard R F,Casagrande D R.Dynamic foundation investiga-tion,TAA-2A Radar site,Cape Kennedy,Florida[A]∥WES,Misc.Paper[C].1967:4-878.
[11]克拉夫R W,彭津J.结构动力学[M].北京:科学出版社,1981:365.
[12]廖振鹏.工程波动理论导论(第二版)[M].北京:科学出版社,2002:67-75.
[2]Davis R.Effects of weathering on site response[J].Earth-quake Engineering and Structure Dynamics,1995,24(2):301-309.
[3]Zhao J X.Estimating modal parameters for a simple soft-soilsite having a linear distribution of shear wave velocity withdepth[J].Earthquake Engineering and Structure Dynamics,1996,25(2):163-178.
[4]Zhao J X.Modal analysis of soft-soil sites including radiationdamping[J].Earthquake Engineering and Structure Dynam-ics,1997,26(1):93-113.
[5]栾茂田,金崇磐,林皋.非均质地基振动特性及地震反应分析[J].大连理工大学学报,1992,32(1):81-87.
[6]栾茂田,刘占阁.成层场地振动特性及地震反应简化解析解的完整形式[J].岩土工程学报,2003,25(6):747-749.
[7]楼梦麟.变参数土层的动力特性和地震反应分析[J].同济大学学报,1997,25(2):155-160.
[8]李刚,任慧,尚守平.上覆非线性场地土的振动分析[J].湖南大学学报(自然科学版),2003,30(6):86-89.
[9]王爱勤,王春玲.指数函数模量成层地基上变截面坝的随机地震反应分析[J].西北地震学报,2008,30(1):31-35.
[10]Ballard R F,Casagrande D R.Dynamic foundation investiga-tion,TAA-2A Radar site,Cape Kennedy,Florida[A]∥WES,Misc.Paper[C].1967:4-878.
[11]克拉夫R W,彭津J.结构动力学[M].北京:科学出版社,1981:365.
[12]廖振鹏.工程波动理论导论(第二版)[M].北京:科学出版社,2002:67-75.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心