基于FLAC3D的斜入射地震波作用的数值模拟方法研究
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摘要
地震动输入是进行土层场地或土-结构相互作用体系地震反应分析的重要一步。通过波场分解,将人工边界上的波动场分解为自由波场和散射波场,其中人工边界上的自由波场根据波在自由表面的反射理论求得,散射波场由黏性人工边界直接吸收,进而在人工边界上施加等效荷载实现斜入射地震波作用的输入。借助MATLAB辅助计算程序和FLAC3D的前后处理功能,进行不同角度(0°和30°)入射条件下SV波作用的时域数值模拟计算,数值解和理论解吻合较好。算例表明,采用黏性人工边界和等效荷载输入方法具有较高的计算精度,建立的数值模拟方法为土层场地和土-结构动力相互作用在地震波斜入射下的反应分析提供了简单易行的计算途径。
Earthquake input is very important for seismic response analysis of soil site or soil-structure interaction system.Through the wave field decomposition,the wave field on artificial boundary is separated into the free wave field and the scattering wave field.The free wave field on artificial boundary can be obtained according to the free-surface reflection theory of plane wave,and the scattering wave field is abstracted by viscous artificial boundary.Then the obliquely incident seismic wave is realized by input of equivalent loadings applied to the artificial boundary.Based on the aided calculating program by MATLAB and pre-progressing and past-progressing technology of FLAC3D,the time domain numerical simulation for a simple finite element model is done under SV wave by different incident angles(0° and 30°).The numerical results are very closed to the theory solution,which shows the method of using viscous artificial boundary and equivalent loads input has good computational accuracy,and the numerical simulation method can provide an effective way for response analysis for soil site or soil-structure dynamic interaction under obliquely incident seismic waves.
Earthquake input is very important for seismic response analysis of soil site or soil-structure interaction system.Through the wave field decomposition,the wave field on artificial boundary is separated into the free wave field and the scattering wave field.The free wave field on artificial boundary can be obtained according to the free-surface reflection theory of plane wave,and the scattering wave field is abstracted by viscous artificial boundary.Then the obliquely incident seismic wave is realized by input of equivalent loadings applied to the artificial boundary.Based on the aided calculating program by MATLAB and pre-progressing and past-progressing technology of FLAC3D,the time domain numerical simulation for a simple finite element model is done under SV wave by different incident angles(0° and 30°).The numerical results are very closed to the theory solution,which shows the method of using viscous artificial boundary and equivalent loads input has good computational accuracy,and the numerical simulation method can provide an effective way for response analysis for soil site or soil-structure dynamic interaction under obliquely incident seismic waves.
引文
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[2]王琴,陈隽,李杰.斜入射地震波作用下地下管线的地震反应分析[J.]华中科技大学学报:城市科学版,2008,25(4):283-286(Wang Qin,Chen Juan,Li Jie.Seismicresponse analysis of underground pipeline under obliquelyincident seismic waves[J.]Journal of Huazhong University ofScience and Technology:Urban Science Edition,2008,25(4):283-286(in Chinese))
[3]杜修力,陈维,李亮,等.斜入射条件下地下结构时域地震反应分析初探[J.]震灾防御技术,2007,2(3):290-296(Du Xiuli,Chen Wei,Li Liang,et al.Preliminarystudy of time-domain seismic response for undergroundstructures to obliquely incident seismic waves[J.]Technologyfor Earthquake Disaster Prevention,2007,2(3):290-296(in Chinese))
[4]Heymsfield E.Two-dimensional scattering of SH waves in asoil layer underlain with a sloping bedrock[J.]Soil Dynamicsand Earthquake Engineering,2000,19(7):489-500
[5]李山有,廖振鹏.地震体波斜入射情形下台阶地形引起的波型转换[J].地震工程与工程振动,2002,22(4):9-15(Li Shanyou,Liao Zhenpeng.Wave-type conversioncaused by a step topography subjected to inclined seismicbody wave[J.]Earthquake Engineering and EngineeringVibration,2002,22(4):9-15(in Chinese))
[6]尤红兵,赵凤新,荣棉水.地震波斜入射时水平层状场地的非线性地震反应[J.]岩土工程学报,2009,31(2):234-240(You Hongbing,Zhao Fengxin,Rong Mianshui.Nonlinear seismic response of horizontal layered site due toinclined wave[J.]Chinese Journal ofGeotechnical Engineering,2009,31(2):234-240(in Chinese))
[7]潘旦光,楼梦麟,董聪.SH波作用下层状土层随机波动分析[J.]工程力学,2005,22(5):20-26(Pan Danguang,LouMenglin,Dong Cong.Random wave analysis of layered soilsites under SH wave excitation[J.]Engineering Mechanics,2005,22(5):20-26(in Chinese))
[8]刘晶波,吕彦东.结构-地基动力相互作用问题分析的一种直接方法[J.]土木工程学报,1998,31(3):55-64(Liu Jingbo,Lu Yandong.A direct method for analysisof dynamic soil-structure interaction[J.]China CivilEngineering Journal,1998,31(3):55-64(in Chinese))
[9]廖振鹏,杨柏坡,袁一凡.暂态弹性波分析中人工边界的研究[J.]地震工程与工程振动,1982,2(1):1-11(Liao Zhenpeng,Yang Baipo,Yuan Yifan.Artificialboundary in analysis of transient elastic wave propagation[J.]Earthquake Engineering and Engineering Vibration,1982,2(1):1-11(in Chinese))
[10]Lysmer J,Kulemeyer R L.Finite dynamic model for infinitemedia[J.]Journal of Engineering Mechanics,1969,95(EM4):859-877
[11]Deeks A J,Randolph M F.Axisymmetric time-domaintransmitting boundaries[J.]Journal ofEngineeringMechanics,1994,120(1):25-42
[12]GB50267—1997核电厂抗震设计规范[S.]北京:中国标准出版社,1998(GB 50267—1997 Code for seismic designof nuclear power plants[S.]Beijing:Standards Press ofChina,1998(in Chinese))
[13]林皋,梁青槐.地下结构的抗震设计[J.]土木工程学报,1996,29(1):15-24(Lin Gao,Liang Qinghuai.Aseismicdesign of underground structures[J.]China Civil EngineeringJournal,1996,29(1):15-24(in Chinese))
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