局部地形对出平面运动谱特性的影响分析
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摘要
本文利用显式有限元有限差分方法进行了脉冲和实际地震动输入下的粘弹性场地地形影响的分析计算,研究了坡地地形在高宽比不同、体波入射角度不同时出平面运动谱特性的差异。结果显示:地形的特征尺寸和入射角度不仅对地震动的峰值有影响,而且对地震动的谱特性有较大的影响,其中入射角度的影响尤为显著。另外,研究还表明,基于脉冲输入研究粘弹性地形谱特性的影响仍不失为一种有效的方法。
An explicit finite element-finite difference method is performed to evaluate the significance of topography effects on the seismic response of visco-elastic sites. The real accelerograms and bell-shape impulse wavelets,slope angle of the cliff and angle of incidence on the spectrum property of the incoming waves are all discussed in detail. The conclusions show that the presence of topographic factors and the direction of the incident waves not only significantly affect the peak ground acceleration of site,but also affect the spectrum property of the incoming waves,and the effect of direction of the incident waves is especially remarkable. The study also found that it is reasonable to analyse spectrum properties with input of impulse wavelets in the finite element simulation of wave motion.
An explicit finite element-finite difference method is performed to evaluate the significance of topography effects on the seismic response of visco-elastic sites. The real accelerograms and bell-shape impulse wavelets,slope angle of the cliff and angle of incidence on the spectrum property of the incoming waves are all discussed in detail. The conclusions show that the presence of topographic factors and the direction of the incident waves not only significantly affect the peak ground acceleration of site,but also affect the spectrum property of the incoming waves,and the effect of direction of the incident waves is especially remarkable. The study also found that it is reasonable to analyse spectrum properties with input of impulse wavelets in the finite element simulation of wave motion.
引文
陈丙午,1982,不规则地形对地震动及震害的影响,地震工程与工程振动,2(1),12～20。
李小军,1993,非线性场地地震反应分析方法的研究,博士学位论文,哈尔滨:中国地震局工程力学研究所。
李小军、廖振鹏、杜修力,1992,有阻尼体系动力问题的一种显式差分解法,地震工程与工程振动,12(4),74～80。
李小军、廖振鹏、关慧敏,1995,粘弹性场地地形对地震动影响分析的显式有限元有限差分方法,地震学报,17(3),362～369。
梁建文、张郁山、顾晓鲁等,2003,圆弧形层状凹陷地形对平面SH波的散射,振动工程学报,16(2),158～165。
刘晶波、廖振鹏,1989,离散网格中的弹性波动(2),地震工程与工程振动,9(2),1～11。
刘晶波、廖振鹏,1990,离散网格中的弹性波动(3),地震工程与工程振动,10(2),1～10。
刘晶波、廖振鹏,1992,有限元离散模型中的出平面波动,力学学报,24(2),207～215。
彭承光、李运贵,2004,场地地震效应工程勘察基础,189～217,北京:地震出版社。
杨柏坡、陈庆彬,1992,显式中心差分有限单元法在复杂场地地震反应分析中的应用,地震研究,15(1),70～78。
Assimaki,D.,Gazetas,G.,2004,Soil andtopographic amplification on canyon banks and the1999Athens Earthquake,JEE,8(1),1～43.
Boore,D.M.,1973,The Effect of Simple Topography on Seismic Waves;Implicate onfor the Acceleration Recorded at Pacoima Dam,SanFernando Valley California,BSSA,63(5),1603～1609.
Lee,V.W.,1982,Anote on scattering of elastic plane waves by a hemispherical canyon,Soil Dynamics and Earthquake Engineering,1,122～129.
Liu,D.Kand Han,F.,1990,Scatteringof plane SH-wave bya cylindrical canyonof arbitraryshapeinanisotopic media,ACTAMechanicaSinica,6(3),256～266.
Geli,L.,Bard,P.Y.,Jullien,B.,1998,The effect of topography on earthquake ground motion:A Reviewand New Results,BSSA,78(1),42～63.
Sanchez-Sesma,F.J.,1990,Elementary solutions for the response of a wedge-shaped mediumto incident SHand SV waves,BSSA.,80(3),737～742.
Trifunac,M.D.,1971,Surface motion of a semi-cylindrical valley for incident plane SHwaves,Bulletin of the Seismological Society ofAmerica,61,1755～1770.
Wong,H.L.,Trifunac,M.D.,1974,Surface motion of a semi-elliptical alluvial valley for incident plane SHwaves,BSSA,64,1389～1408.
李小军,1993,非线性场地地震反应分析方法的研究,博士学位论文,哈尔滨:中国地震局工程力学研究所。
李小军、廖振鹏、杜修力,1992,有阻尼体系动力问题的一种显式差分解法,地震工程与工程振动,12(4),74～80。
李小军、廖振鹏、关慧敏,1995,粘弹性场地地形对地震动影响分析的显式有限元有限差分方法,地震学报,17(3),362～369。
梁建文、张郁山、顾晓鲁等,2003,圆弧形层状凹陷地形对平面SH波的散射,振动工程学报,16(2),158～165。
刘晶波、廖振鹏,1989,离散网格中的弹性波动(2),地震工程与工程振动,9(2),1～11。
刘晶波、廖振鹏,1990,离散网格中的弹性波动(3),地震工程与工程振动,10(2),1～10。
刘晶波、廖振鹏,1992,有限元离散模型中的出平面波动,力学学报,24(2),207～215。
彭承光、李运贵,2004,场地地震效应工程勘察基础,189～217,北京:地震出版社。
杨柏坡、陈庆彬,1992,显式中心差分有限单元法在复杂场地地震反应分析中的应用,地震研究,15(1),70～78。
Assimaki,D.,Gazetas,G.,2004,Soil andtopographic amplification on canyon banks and the1999Athens Earthquake,JEE,8(1),1～43.
Boore,D.M.,1973,The Effect of Simple Topography on Seismic Waves;Implicate onfor the Acceleration Recorded at Pacoima Dam,SanFernando Valley California,BSSA,63(5),1603～1609.
Lee,V.W.,1982,Anote on scattering of elastic plane waves by a hemispherical canyon,Soil Dynamics and Earthquake Engineering,1,122～129.
Liu,D.Kand Han,F.,1990,Scatteringof plane SH-wave bya cylindrical canyonof arbitraryshapeinanisotopic media,ACTAMechanicaSinica,6(3),256～266.
Geli,L.,Bard,P.Y.,Jullien,B.,1998,The effect of topography on earthquake ground motion:A Reviewand New Results,BSSA,78(1),42～63.
Sanchez-Sesma,F.J.,1990,Elementary solutions for the response of a wedge-shaped mediumto incident SHand SV waves,BSSA.,80(3),737～742.
Trifunac,M.D.,1971,Surface motion of a semi-cylindrical valley for incident plane SHwaves,Bulletin of the Seismological Society ofAmerica,61,1755～1770.
Wong,H.L.,Trifunac,M.D.,1974,Surface motion of a semi-elliptical alluvial valley for incident plane SHwaves,BSSA,64,1389～1408.
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