地下工程数值计算中地震动输入方法选择及实现
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摘要
在运用有限元数值方法进行地下结构抗震分析中,人工边界及地震动输入方法将直接影响到计算精度。在分析人工边界原理及常用地震动输入方法的基础上,研究地震动输入方法与人工边界间的相互作用。研究结果表明,不同地震输入方法将显著影响人工边界的吸收性能,而不同的人工边界需要采用与其相适应的地震动输入方法。接着分析两者相互作用的机制,并以无限元人工边界为例提出与其相适应的地震动输入方法,并编制相关输入程序,实例计算结果表明,所提出的地震动输入方法及相应的输入程序具有良好的精度。研究内容可为地下结构有限元抗震计算中人工边界及地震动输入方法的选择提供依据。
Artificial boundary and seismic input method directly affect the calculation accuracy in aseismic analysis of underground structure using finite element method(FEM).The interaction between artificial boundary and seismic input method is studied on the basis of principle of artificial and seismic input method.The results show that different input methods significantly affect the efficiency of artificial boundary;and different artificial boundaries need compatible seismic input methods.The seismic input method compatible with artificial boundary and input program are proposed.The results using this input method and input program are in good agreement with theoretical solutions.Thereby,the theoretical basis of artificial boundary and seismic input method is provided for underground structures in seismic analysis using FEM.
Artificial boundary and seismic input method directly affect the calculation accuracy in aseismic analysis of underground structure using finite element method(FEM).The interaction between artificial boundary and seismic input method is studied on the basis of principle of artificial and seismic input method.The results show that different input methods significantly affect the efficiency of artificial boundary;and different artificial boundaries need compatible seismic input methods.The seismic input method compatible with artificial boundary and input program are proposed.The results using this input method and input program are in good agreement with theoretical solutions.Thereby,the theoretical basis of artificial boundary and seismic input method is provided for underground structures in seismic analysis using FEM.
引文
[1]LYSMER J,KULEMEYER R L.Finite dynamic model for infinitemedia[J].Journal of Engineering Mechanics,ASCE,1969,95(4):859–877.
[2]DEEKS A J,RANDOLPH M F.Axisymmetric time-domain transmittingboundaries[J].Journal of Engineering Mechanics,ASCE,1994,120(l):25–42.
[3]廖振鹏,黄孔亮,杨柏坡,等.暂态波透射边界[J].中国科学:A辑,1984,26(6):50–56.(LIAO Zhenpeng,HUANG Kongliang,YANG Baipo,et al.Transient wave transmitting boundary[J].Sciencein China:Ser.A,1984,26(6):50–56.(in Chinese))
[4]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.(LIUJingbo,LUYandong.A direct method for analysis of dynamic soil-structure interaction[J].China Civil Engineering Journal,1998,31(3):55–64.(in Chinese))
[5]王振宇,刘晶波.成层地基非线形波动问题人工边界与波动输入研究[J].岩石力学与工程学报,2004,23(7):1169–1173.(WANGZhenyu,LIU Jingbo.Study on wave motion input and artificialboundary for problem of nonlinear wave motion in layered soil[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(7):1 169–1 173.(in Chinese))
[6]张波,李术才,杨学英,等.三维黏弹性人工边界地震波动输入方法研究[J].岩土力学,2009,30(3):775–777.(ZHANG Bo,LIShucai,YANG Xueying,et al.Research on seismic wave input withthree-dimensional viscoelastic artificial boundary[J].Rock and SoilMechanics,2009,30(3):775–777.(in Chinese))
[7]谷音,刘晶波,杜义欣.三维一致黏弹性人工边界及等效黏弹性边界单元[J].工程力学,2007,24(12):31–37.(GU Yin,LIU Jingbo,DU Yixin.3D consistent viscous-spring artificial boundary and viscous-spring boundary element[J].Engineering Mechanics,2007,24(12):31–37.(in Chinese))
[8]张顺福,王海波,杨会臣.等效黏性边界单元及黏性边界波动输入方法[J].水利学报,2008,39(10):1248–1251.(ZHANG Shunfu,WANG Haibo,YANG Huichen.Equivalent viscous boundary elementsand the method of wave input for viscous boundary[J].Journal ofHydraulic Engineering,2008,39(10):1 248–1 251.(in Chinese))
[9]于海丰,张耀春.地震动输入方法研究[J].工程力学,2009,26(增1):1–6.(YU Haifeng,ZHANG Yaochun.Discussion on earthquake inputmethod[J].Engineering Mechanics,2009,26(Supp.1):1–6.(in Chinese))
[10]陈厚群.坝址地震动输入机制探讨[J].水利学报,2006,37(12):1 417–1 423.(CHEN Houqun.Discussion on seismic input mechanismat dam site[J].Journal of Hydraulic Engineering,2006,37(12):1 417–1 423.(in Chinese))
[11]周维垣.高等岩石力学[M].北京:水利电力出版社,1990:222–231.(ZHOU Weiyuan.Advanced rock mechanics[M].Beijing:ChinaWater Power Press,1990:222–231.(in Chinese))
[12]HIBBIT D,KARLSSON B,SORENSON P.ABAQUS analysis user′smanual,version 6.5[R].[S.l.]:[s.n.],2004.
[13]ZIENKIEWICZ O C,EMSON C,BETTESS P.A novel boundaryinfinite element[J].International Journal for Numerical Methods inEngineering,1983,19(3):393–404.
[2]DEEKS A J,RANDOLPH M F.Axisymmetric time-domain transmittingboundaries[J].Journal of Engineering Mechanics,ASCE,1994,120(l):25–42.
[3]廖振鹏,黄孔亮,杨柏坡,等.暂态波透射边界[J].中国科学:A辑,1984,26(6):50–56.(LIAO Zhenpeng,HUANG Kongliang,YANG Baipo,et al.Transient wave transmitting boundary[J].Sciencein China:Ser.A,1984,26(6):50–56.(in Chinese))
[4]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.(LIUJingbo,LUYandong.A direct method for analysis of dynamic soil-structure interaction[J].China Civil Engineering Journal,1998,31(3):55–64.(in Chinese))
[5]王振宇,刘晶波.成层地基非线形波动问题人工边界与波动输入研究[J].岩石力学与工程学报,2004,23(7):1169–1173.(WANGZhenyu,LIU Jingbo.Study on wave motion input and artificialboundary for problem of nonlinear wave motion in layered soil[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(7):1 169–1 173.(in Chinese))
[6]张波,李术才,杨学英,等.三维黏弹性人工边界地震波动输入方法研究[J].岩土力学,2009,30(3):775–777.(ZHANG Bo,LIShucai,YANG Xueying,et al.Research on seismic wave input withthree-dimensional viscoelastic artificial boundary[J].Rock and SoilMechanics,2009,30(3):775–777.(in Chinese))
[7]谷音,刘晶波,杜义欣.三维一致黏弹性人工边界及等效黏弹性边界单元[J].工程力学,2007,24(12):31–37.(GU Yin,LIU Jingbo,DU Yixin.3D consistent viscous-spring artificial boundary and viscous-spring boundary element[J].Engineering Mechanics,2007,24(12):31–37.(in Chinese))
[8]张顺福,王海波,杨会臣.等效黏性边界单元及黏性边界波动输入方法[J].水利学报,2008,39(10):1248–1251.(ZHANG Shunfu,WANG Haibo,YANG Huichen.Equivalent viscous boundary elementsand the method of wave input for viscous boundary[J].Journal ofHydraulic Engineering,2008,39(10):1 248–1 251.(in Chinese))
[9]于海丰,张耀春.地震动输入方法研究[J].工程力学,2009,26(增1):1–6.(YU Haifeng,ZHANG Yaochun.Discussion on earthquake inputmethod[J].Engineering Mechanics,2009,26(Supp.1):1–6.(in Chinese))
[10]陈厚群.坝址地震动输入机制探讨[J].水利学报,2006,37(12):1 417–1 423.(CHEN Houqun.Discussion on seismic input mechanismat dam site[J].Journal of Hydraulic Engineering,2006,37(12):1 417–1 423.(in Chinese))
[11]周维垣.高等岩石力学[M].北京:水利电力出版社,1990:222–231.(ZHOU Weiyuan.Advanced rock mechanics[M].Beijing:ChinaWater Power Press,1990:222–231.(in Chinese))
[12]HIBBIT D,KARLSSON B,SORENSON P.ABAQUS analysis user′smanual,version 6.5[R].[S.l.]:[s.n.],2004.
[13]ZIENKIEWICZ O C,EMSON C,BETTESS P.A novel boundaryinfinite element[J].International Journal for Numerical Methods inEngineering,1983,19(3):393–404.
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