地下结构抗震分析中地震动输入方法研究
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摘要
在考虑不同节点处地震波相位差及自由表面处地震反射波影响的基础上,基于波场分离技术与黏弹性人工边界条件推导了适用于地下结构的节点力地震动输入方法。这种地震动输入方法能够有效保证边界应力及位移与原场一致且能考虑地震波传播的相位差。将这种地震动输入方法在通用有限元计算软件ABAQUS中实现,实例验证结果与解析结果对比表明,这种方法具有良好的精度。最后将这种地震动输入方法运用于某越江盾构隧道进行动力分析,得到了管片与地层之间的摩擦系数对管片节点相对位移及管片内力的影响。
Considering the phase difference and reflection of seismic wave,method of seismic motion input for undergroud structure was presented on the basis of viscoelastic artificial boundary conditions and wave field separation technique.The method can guarantee that the stress and displacement at boundary nodes are consistent with actual value.Besides,it can effectively take the phase difference of seismic wave into account.Compared with analytical result,the result of the method has high precision in FEM software ABAQUS.Finally,this method was used to dynamic analysis of a cross-river shield tunnel,and achieved the influence of the friction coefficient between segment and soil on the relative displacement of nodes and internal force.
Considering the phase difference and reflection of seismic wave,method of seismic motion input for undergroud structure was presented on the basis of viscoelastic artificial boundary conditions and wave field separation technique.The method can guarantee that the stress and displacement at boundary nodes are consistent with actual value.Besides,it can effectively take the phase difference of seismic wave into account.Compared with analytical result,the result of the method has high precision in FEM software ABAQUS.Finally,this method was used to dynamic analysis of a cross-river shield tunnel,and achieved the influence of the friction coefficient between segment and soil on the relative displacement of nodes and internal force.
引文
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[2]Deeks A J,Randolph M F.Axisymmetric time-domaintransmitting boundaries[J].Journal of EngineeringMechanics,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,1984,26(6):50-56(Liao Zhenpeng,HuangKongliang,Yang Baipo,et al.Transient wave transmittingboundary[J.]Science in China,1984,26(6):50-56(inChinese))
[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,LüYandong.A direct method for analysis of dynamicsoil-structure interaction[J.]China Civil Engineering Journal,1998,31(3):55-64(in Chinese))
[5]邱流潮,金峰.地震分中人工边界处理与地震动入方法研究[J.]岩土力学,2006,27(9):1501-1504(QiuLiuchao,Jin Feng.Study on method of earthquake inputand artificial boundary conditions for seismic soil-structureinteraction analysis[J.]Rock and Soil Mechanics,2006,27(9):1501-1504(in Chinese))
[6]刘晶波,王振宇,杜修力,等.波动问题中的三维时域黏弹性人工边界[J.]工程力学,2005,22(6):47-49(LiuJingbo,Wang Zhenyu,Du Xiuli,et al.Three-dimensionalvisco-elastic artificial boundaries in time domain for wavemotion problems[J.]Engineering Mechanics,2005,22(6):46-51(in Chinese))
[7]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,Li Shucai,Yang Xueying,et al.Research onseismic wave input with three-dimensional viscoelasticartificial boundary[J].Rock and Soil Mechanics,2009,30(3):775-777(in Chinese))
[8]卢华喜,梁平英,尚守平.地基非线性波动问题中黏-弹性人工边界研究[J.]岩土力学,2008,29(7):1911-1916(Lu Huaxi,Liang Pingying,Shang Shouping.Research on viscoelastic artificial boundary for problem ofonlinear wave motion in soil[J.]Rock and Soil Mechanics,2008,29(7):1911-1916(in Chinese))
[9]Shunzo O.Introduction to earthquake engineering[J].Tokyo University Press,1984:527-554
[10]周维垣.高等岩石力学[M].北京:水利电力出版社,1990:222-231
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