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。     

Simulation of non-stationary ground motion processes (II)

Introduction When doing Monte Carlo analysis of stochastic earthquake response of nonlinear structures, it is necessary to have a great number of ground motion processes with an identical statistical feature; In theoretical analysis of earthquake resistance of structures, to study the effect of one parameter, it is required to keep other parameters fixed, and it is often needed one set of ground motion proc-esses having an identical statistical feature; Similarly, while doing structural model…     

Dynamic stiffness matrix of a poroelastic multi-layered site and its Green＇s functions

Few studies of wave propagation in layered saturated soils have been reported in the literature. In this paper, a general solution of the equation of wave motion in saturated soils, based on one kind of practical Biot‘s equation,was deduced by introducing wave potentials. Then exact dynamic-stiffness matrices for a poroelastic soil layer and halfspace were derived, which extended Wolf‘s theory for an elastic layered site to the case of poroelasticity, thus resolving a fundamental problem in the field of wave propagation and soil-structure interaction in a poroelastic layered soil site. By using the integral transform method, Green‘s functions of horizontal and vertical uniformly distributed loads in a poroelastic layered soil site were given. Finally, the theory was verified by numerical examples and dynamic responses by comparing three different soil sites. This study has the following advantages: all parameters in the dynamic-stiffness matrices have explicitly physical meanings and the thickness of the sub-layers does not affect the precision of the calculation which is very convenient for engineering applications. The present theory can degenerate into Wolf‘s theory and yields numerical results approaching those for an ideal elastic layered site when porosity tends to zero.     

Simulation of non-stationary ground motion processes(I)

Introduction Up to now,simulation of non-stationary ground motion processes in engineering usually is bygenerating stationary ground motion processes,then making them non-stationary by an enve-lope function(Amin and Ang,1968);and the envelope function is usually calculated based on sta-tistical analysis of ground motion records,and the stationary ground motion processes are simu-lated using filtering method,spectral representation method,or time domain method,etc.Because the envelope function …     

A series solution for surface motion amplification due to underground twin tunnels: incident SV waves

A series solution of displacement response of the ground surface in the presence of underground twin tunnels subjectcd to excitation of incident plane SV waves is derived by using Fourier-Bessel series expansion method. The numerical parametric study shows that underground twin tunnels significantly amplify the nearby surface ground motion. It is suggested that the effect of subways on ground motion should be considered when the subways are planned and designed.     

Anti-plane deformations around arbitrary-shaped canyons on a wedge-shape half-space: moment method solutions

The wave propagation behavior in an elastic wedge-shaped medium with an arbitrary shaped cylindrical canyon at its vertex has been studied. Nunerical computation of the wave displacement field is carried out on and near the canyon surfaces using weighted-residuals (moment method). The wave displacement fields are computed by the residual mcthod for the cases of elliptic, circular, rounded-rectangular and flat-elliptic canyons. The analysis demonstrates that thc resulting surface displacemcnt depends, as in similar previous analyses, on several factors including, but not limited, to the angle of thc wedge, thc geometry of thc vertex, the frcquencies of thc incident waves, the angles of incidence, and the material properties of the media. The analysis provides intriguing results that help to explain geophysical observations regarding the amplification of seismic energy as a function of site conditions.     

Scattering of plane P waves by circular-arc layered alluvial valleys: An analytical solution

IntroductionThe site effect of local inhomogeneity and irregularity on seismic wave propagation is one of the most attractive topics in seismology. The problem may be resolved by either analytical method or numerical method. Here, the analytical method is the wave function expansion method; numerical methods include the finite difference, finite element, boundary integration equation, and discrete wave number method, etc. Although these numerical methods can be applied for sites of arbitrary s…     

Effects of a covering layer in a circular-arc canyon on incident plane SV waves

Introduction The effect of local topographies on seismic wave propagation is one of the most attractive topics in seismology. It may be resolved by either an analytical method or a numerical method. Here, the analytical method is the wave function expansion method; numerical methods include the finite difference, finite element, boundary integration equation, and discrete wave number method, etc. The advantage of these numerical methods is that they can be applied to local inhomogeneity and ir…     

基于黏弹性边界的地下隧道非线性地震响应分析模型

采用黏弹性边界方法和地震动输入等效节点力方法模拟半无限场地的地震激励,结合通用有限元软件ANSYS,建立地下隧道地震响应分析模型。模型采用等效线性化方法模拟土体非线性,采用瑞利阻尼和材料阻尼相结合方法模拟土体阻尼,分别考虑衬砌中混凝土和钢筋的非线性,以及衬砌和土体之间的接触。通过与文献比较,对整体模型的精度进行验证,并以天津市深厚覆盖层场地中某地铁双隧道为例进行非线性地震响应分析。研究表明,隧道间距较小时隧道之间存在显著相互作用,非线性地震动应力显著增大。本文模型可用于地下隧道一类结构的抗震验算分析。