单层土模型场地地震反应分析中土层参数随机性的影响
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摘要
土体的地震反应与结构震害密切相关,是地震工程中的一个重要问题,也是抗震设计的基础之一。然而目前的工程场地地震反应分析中存在着诸多不确定性因素,如何估计这些不确定的影响是一个亟待解决的问题。本文采用泰勒级数展开估计土层参数随机性对场地传递函数的影响,对单层土模型在土层参数服从独立高斯分布假定下进行公式推导和实例计算,比较了不同的泰勒级数阶次、土层参数变异系数以及阻尼比对传递函数随机性的综合效应,从而探讨了研究土层传递函数不确定性时采用各阶泰勒级数展开的精度和使用范围。
Soil earthquake responses are a kind of important problems in earthquake engineering.It is closely related to seismic damage of structure and also is one of foundations of earthquake-resistance design.But there are many indeterminacy factors in soil earthquake response analysis.So howto estimate the influence of indeterminacy factors is a problem that needs resolved urgently.By expanding in the Taylor series,we estimate the effect of the soil parameter variations on the soil transfer function in this paper.For one-layered model of a site,the variation of the soil transfer is compared with different orders of Taylor series and soil variance coefficients and damping ratios when the variation of soil parameters is assumed to be independent Gaussian distribution.By these formulas,we discuss the precision and applicability of different orders of Taylor series at different soil variance coefficients and damping ratios.
Soil earthquake responses are a kind of important problems in earthquake engineering.It is closely related to seismic damage of structure and also is one of foundations of earthquake-resistance design.But there are many indeterminacy factors in soil earthquake response analysis.So howto estimate the influence of indeterminacy factors is a problem that needs resolved urgently.By expanding in the Taylor series,we estimate the effect of the soil parameter variations on the soil transfer function in this paper.For one-layered model of a site,the variation of the soil transfer is compared with different orders of Taylor series and soil variance coefficients and damping ratios when the variation of soil parameters is assumed to be independent Gaussian distribution.By these formulas,we discuss the precision and applicability of different orders of Taylor series at different soil variance coefficients and damping ratios.
引文
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[2]赵松戈,胡聿贤,廖旭.土层参数的随机性对场地传递函数的影响[J].地震工程与工程振动,2000,20(2):7-12.
[3]H.Bolton Seed.Influence of Soil Conditions on GroundMotions During Earthquakes[J].ASCE,1969,(95):108-119.
[4]李天,李杰.具有随机参数的场地地震反应分析[J].岩土工程学报,1994,11(5):79-83.
[5]窦立军,杨柏坡.场地条件对传递函数的影响[J].建筑科学,2001,17(3):41-46.
[6]Suzuki S.,Asano K.Effect of different layered ground modelson dynamic amplication considering the soil parametervariations[A].Proc.Of 11 WCEE[C],1996:1 181-1 188.
[7]Suzuki S,Asano K.Dynamic amplication function of surfacelayer considering variation of the soil parameters[A].Proc.Of10 WCEE[C],1992:1 193-1 198.
[8]丁海平,金星.土层地震反应传递函数的模拟[J].世界地震工程,2000,16(4):35-41.
[9]胡聿贤.地震工程学[M].北京:地震出版社,1988.
[10]廖振鹏.工程波动理论导论(第二版)[M].北京:科学出版社,2002.
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