Dynamic response of utility tunnel duringthe passage of Rayleigh waves

The modeling methodologies and calculation of dynamic response of underground structure under Rayleigh waves is investigated in this paper. First the free field responses under Rayleigh waves are analyzed and the numerical results agree well with the theoretical results. Then, the approximate Rayleigh waves are put forward based on the preliminary re-search, and Rayleigh wave field is obtained through fast Fourier transform technique. Taking a utility tunnel as an example, its dynamic responses under Raylei...     

基于自由场局部变形的地下结构抗震Pushover分析方法

对地下结构抗震Pushover分析方法进行了改进,采用自由场局部变形峰值作为目标位移,局部变形峰值时刻对应的土层水平加速度作为等效惯性加速度输入。给出了局部变形峰值和等效惯性加速度确定方式,详细介绍了基于自由场局部变形的地下结构抗震Pushover分析方法实施步骤、使用方法和功能特点。该方法更有针对性地考虑了强地震作用下不同埋深地下结构与土体的非线性特征以及两者之间的相互作用,通过分析变形和受力情况可以得到完整的能力曲线,更好地评估地下结构抗震性能。使用本文方法对3种埋深的地下结构进行计算,并与动力非线性分析结果进行对比研究。结果表明:本方法在计算稳定性和模拟精度方面优于基于自由场整体变形的Pushover方法;对于不同的输入地震波,能力曲线的吻合程度更高;在强震和罕遇地震情况下,对于深埋地下结构,计算结果略大于动力非线性结果,对实际工程而言更加安全。     

A comparative analysis of seismic response of shallow buried underground structure under incident P,SV and Rayleigh waves

In this study, A time-domain seismic response analysis method and a calculation model of the underground structure that can realize the input of seismic P, SV and Rayleigh waves are established, based on the viscoelastic artificial boundary elements and the boundary substructure method for seismic wave input. After verifying the calculation accuracy, a comparative study on seismic response of a shallow-buried, double-deck, double-span subway station structure under incident P, SV and Rayleigh waves is conducted. The research results show that there are certain differences in the cross-sectional internal force distribution characteristics of underground structures under different types of seismic waves. The research results show that there are certain differences in the internal force distribution characteristics of underground structures under different types of seismic waves. At the bottom of the side wall, the top and bottom of the center pillar of the underground structure, the section bending moments of the underground structure under the incidences of SV wave and Rayleigh wave are relatively close, and are significantly larger than the calculation result under the incidence of P wave. At the center of the side wall and the top floor of the structure, the peak value of the cross-sectional internal force under the incident Rayleigh wave is larger than the calculation result under SV wave. In addition, the floor of the underground structure under Rayleigh waves vibrates in both the horizontal and vertical directions, and the magnification effect in the vertical direction is more significant. Considering that the current seismic research of underground structures mainly considers the effect of body waves such as the shear waves, sufficient attention should be paid to the incidence of Rayleigh waves in the future seismic design of shallow underground structures.     

Longitudinal integral response deformation method for the seismic analysis of a tunnel structure

For the longitudinal seismic response analysis of a tunnel structure under asynchronous earthquake excitations, a longitudinal integral response deformation method classified as a practical approach is proposed in this paper. The determinations of the structural critical moments when maximal deformations and internal forces in the longitudinal direction occur are deduced as well. When applying the proposed method, the static analysis of the free-field computation model subjected to the least favorable free-field deformation at the tunnel buried depth is performed first to calculate the equivalent input seismic loads. Then, the equivalent input seismic loads are imposed on the integral tunnel-foundation computation model to conduct the static calculation. Afterwards, the critical longitudinal seismic responses of the tunnel are obtained. The applicability of the new method is verified by comparing the seismic responses of a shield tunnel structure in Beijing, determined by the proposed procedure and by a dynamic time-history analysis under a series of obliquely incident out-ofplane and in-plane waves. The results show that the proposed method has a clear concept with high accuracy and simple progress. Meanwhile, this method provides a feasible way to determine the critical moments of the longitudinal seismic responses of a tunnel structure. Therefore, the proposed method can be effectively applied to analyze the seismic response of a long-line underground structure subjected to non-uniform excitations.     

地下衬砌洞室对Rayleigh波的放大作用

本文利用波函数展开法,给出了半空间中圆形衬砌洞室引起的Rayle igh波散射问题的一个级数解,并通过对求解技术的改进,获得了高频解答。论文通过入射波长、洞室直径、衬砌刚度和埋置深度等参数分析,研究了地下洞室对Rayle igh波的放大作用。数值结果表明,地下洞室情况下地表位移幅值可以达到无洞室情况的2.6倍以上;多数情况下,柔性衬砌洞室情况地表位移幅值最大,无衬砌洞室情况次之,刚性衬砌情况最小。     

地下综合管廊土-结构接触面参数对地震动力响应的影响数值分析

为研究土-结构接触面参数对地下综合管廊地震动力响应特征的影响,建立动力有限元数值模型,模型边界采用激励侧固定边界、远离激励侧黏性边界、其余侧自由场边界的优化组合动力边界,土体本构采用HSS模型,接触面采用改进Goodman单元,动力荷载考虑三种情况(Rayleigh波的作用、底部激励了美国加利福尼亚Upland地震波以及前两者的共同作用),分别研究不同地震动输入、接触面折减系数的改变对综合管廊内力及加速度的影响。研究结果表明:在相同的折减系数条件下,与静力作用相比,动力作用下的结构内力明显增大,综合管廊设计时应考虑地震荷载作用下内力增大的情况;随着界面折减系数的增加,正弯矩极值减小,负弯矩极值增大,加速度峰值增大;在相同接触面折减系数条件下,底部地震波输入产生的结构内力极值显著高于仅有Rayleigh波输入的情况;考虑Rayleigh波和地震波共同作用条件下,引起的管廊结构内力极值与仅考虑底部地震波输入时的结构内力极值差异不大。研究成果可供地下综合管廊结构地震响应精细化数值模拟及抗震设计参考。     

A plane strain soil-structure interaction model

A plane strain model for dynamic soil-structure interaction problems under harmonic state is presented. The boundary element method is used to study the response of a homogeneous isotropic linear elastic soil. The far field displacement at the free surface is approximated by an outgoing Rayleigh wave. The finite element method is used to describe the response of the building, of the foundation and possibly of a finite part of the inhomogeneous non-linear soil. Two coupling procedures are described. The model is applied to a problem previously studied in the antiplane case. Incident P, SV and Rayleigh waves are considered. The results show an amplification and an attenuation of the structure motion with frequency when incident Rayleigh waves and P, SV body waves are respectively considered.     

地震荷载作用下埋地玻璃钢夹砂管的动力响应分析

玻璃钢夹砂管在土木水利工程领域得到了愈来愈广泛的应用,但现有的埋地管道地震响应分析模型大多不考虑管-土动力相互作用,且多针对均质材料管道,无法应用于具有明显层状复合材料结构特征的玻璃钢夹砂管。基于玻璃钢夹砂管的层状复合材料结构特征,建立了完整的埋地玻璃钢夹砂管地震响应分析模型,在数值分析模型中,考虑了管-土间复杂的动力相互作用,以及地震散射波从有限域向无限域的传播。算例分析表明,所建立的埋地玻璃钢夹砂管地震响应分析模型可合理地分析埋地玻璃钢夹砂管在地震荷载作用下的动力响应。     

城市地铁爆破开挖对浅埋地下大直径管道的安全影响研究

在城市浅埋地铁爆破开挖中,经常遇到地下管网、涵洞等构筑物,而爆破地震效应对其影响范围和程度的正确评价就显得尤为重要。本文以长沙地铁爆破开挖为例,以现场实测数据为基础,采用有限单元法,对爆破振动下大直径混凝土污水管道的动力响应、变形和动应力等进行了计算,评价了爆破地震对管道的安全影响。研究表明:管道在控制爆破作用下是偏于安全的;爆心距是影响管道受到爆炸作用力影响大小的最主要因素;对于以实测数据为基础,采用加速度激励的时程分析方法以爆破振动对埋地管道的影响进行评价,是一种可行且较为精确的方法。     

浅埋地下结构顶板在竖向地震作用下的动力响应

采用结构动力学的方法研究了浅埋地下箱形结构在竖向地震作用下的动力响应。鉴于土与结构动力相互作用分析的复杂性,为了简化分析,整个分析过程分为2步。第1步把结构看作是刚体,利用刚体与地基的相互作用分析求得刚体在竖向地震分量作用下的动力响应;第2步首先考虑到了侧墙对于顶板的抗弯约束作用,求得了顶板的固有频率及振型,并把第1步刚体的动力响应作为输入求解顶板梁的受迫振动,进而求得了顶板弯矩。     

多道瞬态瑞雷波技术在公路采空塌陷区探测中应用

地下采空塌陷区岩体结构具有明显的结构不连续、松散、断裂、空洞等异常结构特征,本文在分析公路采空塌陷区地球物理场特征的基础上,详细讨论了应用多道瞬态瑞雷波技术探测采空塌陷区的可行性以及相关技术,深入分析基于瑞雷波波场特征、频谱结构、能量衰减、频散特征、相速度以及多阶模等特征探测和评价地层结构的均匀性、地下空洞及异常结构体等地下障碍物的存在及其空间分布的解释标志.滚动式多道瑞雷波探测技术可以有效地探测地下采空区、软弱结构体等异常结构体的赋存状态及空间分布.     

饱和砂土中箱型隧道的地震反应分析

饱和砂土地基在地震作用下存在液化的潜在危险,液化引起的地基失效可能会导致地下结构的严重震害。以Opensees作为计算平台,对饱和砂土中带中柱箱型隧道的地震反应进行输入不同幅值地震动时的动力数值计算,研究场地和结构的加速度反应及其频谱特性、场地的永久变形、隧道的震后位移以及隧道的内力分布。计算结果表明,饱和砂土中箱型隧道的地震附加内力仍受周围土体的相对位移控制,此外在震后隧道可能会产生侧移和上浮的永久位移,并且可能存在残余内力。     

On the interaction of rayleigh surface waves with structures

A two-dimensional soil-structure interaction analysis is carried out for transient Rayleigh surface waves that are incident on a structure. The structure is modelled by a three-degree of freedom rigid basemat to which is attached a flexible superstructure, modelled by a single mass-spring system. The structural responses to a given Rayleigh wave train are compared with those that would have been obtained if the free-field acceleration-time history had been applied as a normally incident body wave. The results clearly exhibit the [frequency filtering] effects of the rigid basemat on the incident Rayleigh waves. It is shown that, if seismic excitation of a structure is, in fact, due to Rayleigh surface waves, then an analysis assuming normally incident body waves can considerably over-estimate structural response, both at basemat level for horizontal and vertical motions and for vertical oscillations of the superstructure. However, in the examples considered here, relatively large rocking effects were induced by the Rayleigh waves, thus giving maximum horizontal accelerations in the superstructure that were of comparable magnitude for Rayleigh and normally incident body waves.     

小应变硬化模型(HSS)在Rayleigh波作用下场地响应分析中的应用

为研究冲击荷载或地震作用下产生的,以Rayleigh波为主的面波对浅层地表土体动力响应特征以及数值模拟中土层阻尼的设置方法,以厦门地区浅层的素填土及粉质黏土为研究对象,采用有限元动力分析,土体本构采用小应变硬化模型(HSS),利用模型本身的滞回环特性,输入变化的小应变参数,考察HSS模型的小应变参数对场地动力响应的影响,并与土体采用摩尔-库伦模型结合Rayleigh阻尼("MC+Rayleigh阻尼")的计算结果进行对比。研究表明:当采用带有滞回环的HSS模型时,波速随初始剪切模量Gref0的增大而增大,但振幅减小,残余变形量也有所减小;小应变参数γ0.7对波的影响较小;HSS模型能够给出残余变形量,而"MC+Rayleigh阻尼"由于本构模型为理想弹塑性模型,在卸载重加载条件下表现为纯弹性行为,无法反映出卸载重加载过程中塑性应变的积累及其累积阻尼效应;但HSS模型还不能够全面反映循环加载作用下塑性体积应变的累积,因此在考虑滞回阻尼的基础上,仍然建议借助Rayleigh阻尼来更加全面地模拟土体的实际阻尼特性。     

地下结构对工程场地地震动场的影响

本文以日本神户市地铁大开站为工程背景,应用大型通用有限元ANSYS软件,分别建立了自然条件下的工程场地土层和建有地下车站结构的土层的二维有限元分析模型。计算了基岩一致地震动输入模式下2个土层模型的动力反应。通过将2个土层模型的动力反应进行比较分析,讨论了地下结构对工程场地地震动场的影响。分析结果表明,日本神户地铁大开站的存在对其邻近区域土层的地震反应有影响,但影响有限。     

埋深对地铁车站地震反应的影响分析

关于埋深对地下结构地震反应的影响的研究对象多见于地下隧道,对地铁车站地震反应受埋深影响变化规律缺乏深入研究。本文基于ANSYS有限元软件,采用改进的简化方法建立三种不同埋深的地铁车站结构有限元模型,以两种基岩波的水平向和竖向地震动作为激励,求解各模型中地铁车站结构重要部位的地震反应。分析不同埋深时地铁车站结构惯性作用、侧面土体和上部土体三个因素对地铁车站地震反应的影响情况。分析结果表明:在双向地震作用下,地铁车站侧壁弯矩、剪力、轴力和中柱轴力随埋深的增加而增加,中柱剪力和弯矩随埋深增加而减少。埋深越深,侧面土体对地铁车站地震反应影响越大;上部土体使中柱轴力不断增加;结构自身的惯性作用对其地震反应的贡献逐渐减小。     

Dynamic analysis of large 3-D underground structures by the bem

An up to date literature survey on the dynamics of underground structures is presented briefly. The dynamic response of large three-dimensional underground structures to external or internal dynamic forces or to seismic waves is numerically determined by the frequency domain boundary element method. This method is used to model both the structure and the soil medium, which are assumed to behave as linear elastic or viscoelastic bodies. The full-space dynamic fundamental solution is employed in the formulation and this requires a free soil surface discretization, confined to a finite portion around the area of interest, in addition to soil—structure interface and free structural surface discretizations. The dynamic disturbances can have a harmonic or a transient time variation. The transient case is treated with the aid of numerical Laplace transforms with respect to time. Various numerical examples involving lined cavities and long lined tunnels buried in the full- or the half-space subjected to harmonic or transient external forces or seismic waves are presented to illustrate the method and demonstrate its advantages.     

埋入源多道面波分析(MASW)中最小偏移距的估计方法

多道面波分析（MASW）法是一种被广泛使用的浅层地震勘探方法.为解决埋入源近场效应对MASW法应用的影响,本文分析了埋入源产生的Rayleigh波传播机制,探讨了MASW法的排列参数对地震记录的影响,提出了确定最小偏移距的经验公式.通过对实际地质模型的有限元模拟,验证了经验公式的合理性.在以经验公式为指导的野外实测中,利用多种方法提取了相对可靠的频散曲线,采用基阶和高阶面波联合反演,所得的一维速度结构与钻孔资料具有很强的相关性,表明本文发展的最小偏移距估计方法具有一定的实际应用价值.     

上海世博会地下变电站基坑围护结构的动力反应分析

采用三维快速拉格朗日程序FLAC^3D,对上海世博会500kV地下变电站围护结构的动力反应问题进行了深入细致的分析和研究。所建立的模型采用摩尔一库伦本构关系,同时考虑了静力、动力以及地下承压水的影响,并且通过FLAC^3D软件的二次开发功能引入统一强度理论,来判别围护结构中钢筋混凝土的应力状态,力求更真实地反映围护结构在动力作用下的响应状态。分析结果表明,圆型围护结构的环向刚度比较大,受力时将大部分侧向荷载转移给其环向拱结构,从而使得基坑和周围土体无论在静力状态还是动力状态下,整体变形均较小;基坑整体在所研究的各种工况下,围护结构都处于安全状态。     

考虑地震波激振方向的浅埋偏压双联拱黄土隧道动力响应规律研究

以实际工程为背景,在模型试验结果和数值模拟结果验证合理的基础上,通过建立三维数值模型,研究兰州人工波在不同激振方向下坡-隧体系动力响应规律,通过小波包变换从能量和频域角度对衬砌结构动力响应规律进行分析。研究结果表明：水平、竖直面内垂直隧道轴向(X、Z)的地震波在隧道最大埋深处引起较大响应,水平面平行于隧道轴向的地震波(Y)对埋深较浅的洞口处的结构最为不利。频率在0～12.5 Hz范围内的低频波是引起隧道结构响应的主要波段,该频段中竖直向地震波(Z)能量相较于其他方向地震波能量占比最高。地震作用中衬砌结构的存在对坡体内的围岩变形有一定的抑制效应。X、Y向地震波容易引起坡脚附近的围岩发生剪切破坏,Y向地震波对隧道洞口段仰坡的稳定性影响最大;Z向地震波容易造成坡顶附近区域围岩的拉伸破坏,且对隧道拱顶附近产生最不利响应。研究成果对浅埋偏压双联拱隧道的抗震优化设计具有借鉴意义。