土层参数的随机性对场地传递函数的影响
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摘要
本文采用秦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了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系数随机性的综合效应．结果表明，即使在小参数摄动范围内采用一阶泰勒级数也是不够的；一般情况下采用二阶泰勒级数即可给出满意的估计．
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 function has been compared with different orders of Taylor series and soil variance coeffcients and damping ratios when the variation of soil parameters is assumed to be independent Gaussian distribution. The results show that the first order Taylor expansion expression is not enough for calculation precision even though smaller soil variance coefficient is taken into account and the second order Taylor expansion expression is generally available.
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 function has been compared with different orders of Taylor series and soil variance coeffcients and damping ratios when the variation of soil parameters is assumed to be independent Gaussian distribution. The results show that the first order Taylor expansion expression is not enough for calculation precision even though smaller soil variance coefficient is taken into account and the second order Taylor expansion expression is generally available.
引文
[1]胡聿贤。地震工程学[M]。北京:地震出版社,1988
[2]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。
[3]石建梁,考虑土层不确定性的一维土层地震反应分析[D]。硕士学位论文,中国地震局工程力学研究所,1990。
[4]冷伍明,赵善锐。土工参数不确定性的计算分析[J]。岩土工程学报.1995,17(2):68-72。
[5]Suzuki, S. and Asano. K(1996). Effect of different layered ground models on dynamic amplification considering thesoil parameter variations[C].Proc.of 11 WCEE1181-1188.
[6]Suzuki.S.and Asano.K(1992.).Dynamic amplification function of surface layer considering variation of the soil parameters[C]. Proc of 10 WCEE1193-1198.
[7]Chang, K. W. NG. T-S and H-H. M. Hwang(1989). Subsurface conditions of Memphis and Shelby county[R].Technical Report NCEER-89-0021.
[8]Toshikazu,I.and Takayuki,F(1996).A seismic stability of structure considering soil parameter uncertainty[C].Procof 11 WCEE, Paper No 1033.
[9]Real,C.R.and Cramer,C.H(1992).Site characterization and standard geotechnical model for Turkey Flat,ESG1992,Odawara, Japan, 9-14.
[10]Erdal Safak(1997).Models and methods to characterize site amplification from a pair of records[J],EarthquakeSpectra.13(1): 97-129.
[2]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。
[3]石建梁,考虑土层不确定性的一维土层地震反应分析[D]。硕士学位论文,中国地震局工程力学研究所,1990。
[4]冷伍明,赵善锐。土工参数不确定性的计算分析[J]。岩土工程学报.1995,17(2):68-72。
[5]Suzuki, S. and Asano. K(1996). Effect of different layered ground models on dynamic amplification considering thesoil parameter variations[C].Proc.of 11 WCEE1181-1188.
[6]Suzuki.S.and Asano.K(1992.).Dynamic amplification function of surface layer considering variation of the soil parameters[C]. Proc of 10 WCEE1193-1198.
[7]Chang, K. W. NG. T-S and H-H. M. Hwang(1989). Subsurface conditions of Memphis and Shelby county[R].Technical Report NCEER-89-0021.
[8]Toshikazu,I.and Takayuki,F(1996).A seismic stability of structure considering soil parameter uncertainty[C].Procof 11 WCEE, Paper No 1033.
[9]Real,C.R.and Cramer,C.H(1992).Site characterization and standard geotechnical model for Turkey Flat,ESG1992,Odawara, Japan, 9-14.
[10]Erdal Safak(1997).Models and methods to characterize site amplification from a pair of records[J],EarthquakeSpectra.13(1): 97-129.
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