非线性场地基岩功率谱反演的一个方法
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摘要
提出了非线性场地基岩功率谱反演的一个方法。基于一维层状场地波动理论,利用等效线性化法考虑场地土的非线性,通过给定的地表运动功率谱反演得到基岩运动功率谱,进而利用基岩运动功率谱模拟基岩随机地震动。土层等效剪应变取各样本等效剪应变的平均值。并利用金井清功率谱和日本Kik-Net台站记录对该方法进行了验证。结果表明,该方法能够较为方便且准确的得到符合场地非线性特性的基岩功率谱,具有一定的工程应用价值。
A method for inversion of power spectrum of bedrock considering soil nonlinearity of the site is proposed. Based on the one-dimensional layered site wave theory, the equivalent linearization method is used to consider the nonlinearity of site soil. The power spectrum of bedrock motion is obtained by inversion of the given power spectrum of surface motion, and then the random ground motion of bedrock is simulated by the power spectrum of bedrock motion.The equivalent shear strain of soil layer is taken as the average of the equivalent shear strain of each sample.The method is validated by using Kanai-Tajimi power spectrum and Kik-Net station records in Japan. The results show that this method can obtain the power spectrum of bedrock which accords with the soil nonlinearity of the site conveniently and accurately. The method has certain engineering application value.
A method for inversion of power spectrum of bedrock considering soil nonlinearity of the site is proposed. Based on the one-dimensional layered site wave theory, the equivalent linearization method is used to consider the nonlinearity of site soil. The power spectrum of bedrock motion is obtained by inversion of the given power spectrum of surface motion, and then the random ground motion of bedrock is simulated by the power spectrum of bedrock motion.The equivalent shear strain of soil layer is taken as the average of the equivalent shear strain of each sample.The method is validated by using Kanai-Tajimi power spectrum and Kik-Net station records in Japan. The results show that this method can obtain the power spectrum of bedrock which accords with the soil nonlinearity of the site conveniently and accurately. The method has certain engineering application value.
引文
[1] 欧进萍,牛荻涛,杜修力.设计用随机地震动的模型及其参数确定[J].地震工程与工程振动,1991,11(3):45-54.OU Jinping,NIU Ditao,DU Xiuli.Random earthquake ground motion model and its parameter determination used in aseismic design[J].Earthquake Engineering and Engineering Dynamics,1991,11(3):45-54.(in Chinese)
[2] 洪峰,江近仁,李玉亭.地震地面运动的功率谱模型及其参数的确定[J].地震工程与工程振动,1994,14(2):46-52.HONG Feng,JIANG Jinren,LI Yuting.Power spectral models of earthquake ground motions and evaluation of its parameters[J].Earthquake Engineering and Engineering Dynamics,1994,14(2):46-52.(in Chinese)
[3] 杜修力,胡晓,陈厚群.强震地运动随机过程模拟[J].地震学报,1995(1):103-109.DU Xiuli,HU Xiao,CHEN Houqun.Simulation of random process of strong earthquake motion[J].Acta Seismologica Sinica,1995(1):103-109.(in Chinese)
[4] 李杰,艾晓秋.基于物理的随机地震动模型研究[J].地震工程与工程振动,2006,26(5):21-26.LI Jie,AI Xiaoqiu.Study on random model of earthquake ground motion based on physical process[J].Earthquake Engineering and Engineering Dynamics,2006,26(5):21-26.(in Chinese)
[5] 牛荻涛.基岩地震动的随机模型及其参数确定[J].地震学报,1995(1):128-131.NIU Ditao.Random models of bedrock motions and evaluation of its parameters[J].Acta Seismologica Sinica,1995(1):128-131.(in Chinese)
[6] 樊水荣,苏经宇.重要工程场址基岩地震动时程随机模拟[J].工程抗震与加固改造,1993(2):41-43.FAN Shuirong,SU Jingyu.Stochastic simulation of ground motion for important engineering sites[J].Earthquake Resistant Engineering and Retrofitting,1993(2):41-43.(in Chinese)
[7] 蔡袁强,凌道盛,周迪永,等.非线性分层地基地面运动反演分析[J].振动工程学报,2000,13(3):426-432.CAI Yuanqiang,LING Daosheng,ZHOU Diyong,et al.Inverse calculational analysis of ground motion in non-linear layered soil[J].Journal of Vibration Engineering,2000,13(3):426-432.(in Chinese)
[8] 潘晓东,董天乐,蔡袁强,等.非线性成层地基下基岩平稳地震动输入[J].振动工程学报,2006,19(2):246-251.PAN Xiaodong,DONG Tianle,CAI Yuanqiang,et al.Study on stationary earthquake motion input at bedrock under nonlinear layered soils[J].Journal of Vibration Engineering,2006,19(2):246-251.(in Chinese)
[9] 霍俊荣,胡聿贤,冯启民.地面运动时程强度包络函数的研究[J].地震工程与工程振动,1991,11(1):1-12.HUO Junrong,HU Yuxian,FENG Qimin.Study on envelope function of acceleration time history[J].Earthquake Engineering and Engineering Dynamics,1991,11(1):1-12.(in Chinese)
[10] 袁晓铭,孙锐,孙静,等.常规土类动剪切模量比和阻尼比试验研究[J].地震工程与工程振动,2000,20(4):133-139.YUAN Xiaoming,SUN Rui,SUN Jing,et al.Laboratory experimental study on dynamic shear modulus ratio and damping ratio of soils[J].Earthquake Engineering and Engineering Dynamics,2000,20(4):133-139.(in Chinese)
[2] 洪峰,江近仁,李玉亭.地震地面运动的功率谱模型及其参数的确定[J].地震工程与工程振动,1994,14(2):46-52.HONG Feng,JIANG Jinren,LI Yuting.Power spectral models of earthquake ground motions and evaluation of its parameters[J].Earthquake Engineering and Engineering Dynamics,1994,14(2):46-52.(in Chinese)
[3] 杜修力,胡晓,陈厚群.强震地运动随机过程模拟[J].地震学报,1995(1):103-109.DU Xiuli,HU Xiao,CHEN Houqun.Simulation of random process of strong earthquake motion[J].Acta Seismologica Sinica,1995(1):103-109.(in Chinese)
[4] 李杰,艾晓秋.基于物理的随机地震动模型研究[J].地震工程与工程振动,2006,26(5):21-26.LI Jie,AI Xiaoqiu.Study on random model of earthquake ground motion based on physical process[J].Earthquake Engineering and Engineering Dynamics,2006,26(5):21-26.(in Chinese)
[5] 牛荻涛.基岩地震动的随机模型及其参数确定[J].地震学报,1995(1):128-131.NIU Ditao.Random models of bedrock motions and evaluation of its parameters[J].Acta Seismologica Sinica,1995(1):128-131.(in Chinese)
[6] 樊水荣,苏经宇.重要工程场址基岩地震动时程随机模拟[J].工程抗震与加固改造,1993(2):41-43.FAN Shuirong,SU Jingyu.Stochastic simulation of ground motion for important engineering sites[J].Earthquake Resistant Engineering and Retrofitting,1993(2):41-43.(in Chinese)
[7] 蔡袁强,凌道盛,周迪永,等.非线性分层地基地面运动反演分析[J].振动工程学报,2000,13(3):426-432.CAI Yuanqiang,LING Daosheng,ZHOU Diyong,et al.Inverse calculational analysis of ground motion in non-linear layered soil[J].Journal of Vibration Engineering,2000,13(3):426-432.(in Chinese)
[8] 潘晓东,董天乐,蔡袁强,等.非线性成层地基下基岩平稳地震动输入[J].振动工程学报,2006,19(2):246-251.PAN Xiaodong,DONG Tianle,CAI Yuanqiang,et al.Study on stationary earthquake motion input at bedrock under nonlinear layered soils[J].Journal of Vibration Engineering,2006,19(2):246-251.(in Chinese)
[9] 霍俊荣,胡聿贤,冯启民.地面运动时程强度包络函数的研究[J].地震工程与工程振动,1991,11(1):1-12.HUO Junrong,HU Yuxian,FENG Qimin.Study on envelope function of acceleration time history[J].Earthquake Engineering and Engineering Dynamics,1991,11(1):1-12.(in Chinese)
[10] 袁晓铭,孙锐,孙静,等.常规土类动剪切模量比和阻尼比试验研究[J].地震工程与工程振动,2000,20(4):133-139.YUAN Xiaoming,SUN Rui,SUN Jing,et al.Laboratory experimental study on dynamic shear modulus ratio and damping ratio of soils[J].Earthquake Engineering and Engineering Dynamics,2000,20(4):133-139.(in Chinese)