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1.
Ground vibrations induced by railway traffic at grade and in tunnels are often studied by means of two-and-half dimensional (2.5D) models that are based on a Fourier transform of the coordinate in the longitudinal direction of the track. In this paper, the need for 2.5D coupled finite element-boundary element models is demonstrated in two cases where the prediction of railway induced vibrations is considered. A recently proposed novel 2.5D methodology is used where the finite element method is combined with a boundary element method, based on a regularized boundary integral equation. In the formulation of the boundary integral equation, Green's functions of a layered elastic halfspace are used, so that no discretization of the free surface or the layer interfaces is required. In the first case, two alternative models for a ballasted track on an embankment are compared. In the first model, the ballast and the embankment are modelled as a continuum using 2.5D solid elements, whereas a simplified beam representation is adopted in the second model. The free field vibrations predicted by both models are compared to those measured during a passage of the TGVA at a site in Reugny (France). A very large difference is found for the free field response of both models that is due to the fact that the deformation of the cross section of the embankment is disregarded in the simplified representation. In the second case, the track and free field response due to a harmonic load in a tunnel embedded in a layered halfspace are considered. A simplified methodology based on the use of the full space Green's function in the tunnel–soil interaction problem is investigated. It is shown that the rigorous finite element-boundary element method is required when the distance between the tunnel and the free surface and the layer interfaces of the halfspace is small compared to the wavelength in the soil.  相似文献   

2.
This paper presents an engineering approach for analysing the longitudinal behaviour of tunnels subjected to earthquakes. The tunnel is modelled as a Timoshenko beam connected to the far soil by means of continuous elastic support (Winkler model). Seismic free-field inputs, such as those caused by surface waves travelling parallel to the tunnel axis, were imposed at the base of the springs of the Winkler model, generating bending moments and shear forces on the cross-sections of the tunnel. Closed-form expressions of the tunnel displacements, shear forces, and bending moments were determined at any tunnel section in terms of the seismic excitation, tunnel geometry and material properties, and subgrade reaction modulus of the soil. A dimensional analysis was carried out to ascertain directly the maximum tunnel displacement, bending moment, and shear force.  相似文献   

3.
Tunnels are commonly designed under seismic loading assuming “free field conditions”. However, in urban areas these structures pass beneath buildings, often high-rise ones, or are located close to them. During seismic excitation, above ground structures may cause complex interaction effects with the tunnel, altering its seismic response compared to the “free field conditions” case. The paper summarizes an attempt to identify and understand these interaction effects, focusing on the tunnel response. The problem is investigated in the transversal direction, by means of full dynamic time history analyses. Two structural configurations are studied and compared to the free field conditions case, consisting of one or two above ground structures, located over a circular tunnel. Above ground structures are modeled in a simplified way as equivalent single-degree of freedom oscillators, with proper mechanical properties. Several parameters that are significantly affecting the phenomenon are accounted for in this parametric study, namely the soil to tunnel relative flexibility, the tunnel dimensions, the tunnel burial depth and the soil properties and nonlinearities during shaking. Tunnels response characteristics are compared and discussed, in terms of acceleration, deformations and lining dynamic internal forces. Internal forces are also evaluated with analytical closed form solutions, commonly used in preliminary stages of design, and compared with the numerical predictions. The results indicate that the presence of the above ground structures may have a significant effect on the seismic response of the tunnel, especially when the latter is stiff and located in shallow depths.  相似文献   

4.
Considering the existence of numerous shallow-buried tunnels traversing high slopes in the loess area in western China and the fact of high seismic intensity there, we investigate the dynamic response rules of a shallow-buried loess tunnel and its slope under the action of seismic waves with different intensities. Through large-scale shaking table model tests,we successfully analyze the characteristics and process of the destabilization of tunnels and slopes, and propose valuable suggestions regarding the reinforcement parts of a tunnel for reducing seismic damage. The results show that the main seismic damage on a slope include the failure of the sliding surface between the top and foot and the stripping of the soil around the tunnel entrance, while the damage on a tunnel is mainly manifested as the seismic-induced subsidence at the portal section and the cracking deformation at the joint areas. Finally,we propose that the "staggered peak distribution" phenomenon of the maximum acceleration values at the vault and inverted arch area can be considered as a criterion indicating that the tunnel enters into the threshold of dynamic failure.  相似文献   

5.
Immersed tunnels are particularly sensitive to tensile and compressive deformations such as those imposed by a normal seismogenic fault rupturing underneath, and those generated by the dynamic response due to seismic waves. The paper investigates the response of a future 70 m deep immersed tunnel to the consecutive action of a major normal fault rupturing in an earthquake occurring in the basement rock underneath the tunnel, and a subsequent strong excitation from a different large-magnitude seismic event that may occur years later. Non-linear finite elements model the quasi-static fault rupture propagation through the thick soil deposit overlying the bedrock and the ensuing interaction of the rupture with the immersed tunnel. It is shown that despite imposed bedrock offset of 2 m, net tension or excessive compression between tunnel segments could be avoided with a suitable design of the joint gaskets. Then, the already deformed (“injured”) structure is subjected to strong asynchronous seismic shaking. The thick-walled tunnel is modelled as a 3-D massive flexural beam connected to the soil through properly-calibrated nonlinear interaction springs and dashpots, the supports of which are subjected to the free-field acceleration time histories. The latter, obtained with 1-D wave propagation analysis, are then modified to account for wave passage effects. The joints between tunnel segments are modeled with special non-linear hyper-elastic elements, properly accounting for their 7-bar longitudinal hydrostatic pre-stressing. Sliding is captured with special gap elements. The effect of segment length and joint properties is explored parametrically. A fascinating conclusion emerges in all analysed cases for the joints between segments that were differentially deformed after the quasi-static fault rupture: upon subsequent very strong seismic shaking, overstressed joints de-compress and understressed joints re-compress—a “healing” process that leads to a more uniform deformation profile along the tunnel. This is particularly beneficial for the precariously de-compressed joint gaskets. Hence, the safety of the immersed tunnel improves with “subsequent” strong seismic shaking!  相似文献   

6.
Two prediction models for calculating vibration from underground railways are developed: the pipe-in-pipe model and the coupled periodic finite element–boundary element (FE–BE) model.The pipe-in-pipe model is a semi-analytical three-dimensional model that accounts for the dynamic interaction between the track, the tunnel and the soil. The continuum theory of elasticity in cylindrical coordinates is used to model two concentric pipes: an inner pipe to represent the tunnel wall and an outer pipe to represent the surrounding soil. The tunnel and soil are coupled accounting for equilibrium of stresses and compatibility of displacements at the tunnel–soil interface. This method assumes that the tunnel is invariant in the longitudinal direction and the problem is formulated in the frequency–wavenumber domain using a Fourier transformation. A track, formulated as an Euler–Bernoulli beam, is then coupled to this model. Results are transformed to the space domain using the inverse Fourier transform.The coupled periodic FE–BE model is based on a subdomain formulation, where a boundary element method is used for the soil and a finite element method for the tunnel. The Craig–Bampton substructuring technique is used to efficiently incorporate the track in the tunnel. The periodicity of the tunnel is exploited using the Floquet transformation to formulate the track–tunnel–soil interaction problem in the frequency–wavenumber domain and to compute the wave field radiated into the soil.An invariant concrete tunnel, embedded in a homogeneous full space is analyzed using both approaches. The pipe-in-pipe model offers an exact solution to this problem, which is used to validate the coupled periodic FE–BE model. The free field response due to a harmonic load in the tunnel is predicted and results obtained with both models are compared. The advantages and limitations of both models are highlighted. The coupled periodic FE–BE model has a greater potential as it can account for the complex periodic geometry of the tunnel and the layering in a soil medium. The effect of coupling a floating slab to the tunnel–soil system is also studied with both models by calculating the insertion gain.  相似文献   

7.
以弹性基岩上覆层状场地中刚性衬砌隧道为模型,采用间接边界元方法求解衬砌隧道所受的沿轴向地震动土作用,通过参数分析揭示轴向动土作用的幅值大小、空间分布等基本规律。研究表明,土-隧道动力相互作用对地震动土作用的空间分布形式影响较小,但对地下隧道所受地震动土作用峰值大小具有显著影响,隧道主要位置点的地震动土作用峰值与隧道相应位置处自由场土层应力相比放大1.7~2.4倍。论文最后提出一个轴向地震动土作用的简化计算方法。  相似文献   

8.
半横向通风方式隧道内污染物分布的数值仿真   总被引:1,自引:0,他引:1  
某城市公路隧道采用半横向通风方式进行火灾排烟,其排风孔位于隧道侧壁顶部。针对该城市公路隧道,运用CFD数值仿真方法建立1:1的三维数值仿真模型,模拟不同工况下,开启不同形状排风孔时,隧道内的风速、风压以及污染物浓度的分布情况。研究表明,排风孔所在位置的隧道横断面上,形成一个左侧区域负压较高、压强变化梯度大而右侧区域负压较小的"排风横断面";随着排风孔开口高度的增加,排风横断面上负压分布向右侧扩大,右侧区域风速增加,有利于右侧区域内污染物的稀释,而左侧区域竖直方向风速减小,左下角区域风流方向紊乱,左侧区域污染物不能得到有效稀释,浓度较高。  相似文献   

9.
An approximate analytical method is presented for the dynamic response of a rigid cylindrical foundation embedded in a poroelastic soil layer under the excitation of a time-harmonic rocking moment. The soil underlying the foundation base is represented by a single-layered poroelastic soil based on rigid bedrock while the soil along the side of the foundation is modeled as an independent poroelastic stratum composed of a series of infinitesimally thin layers. The accuracy of the present solution is verified by comparisons with existing solutions obtained from other researchers. Numerical results for the rocking dynamic impedance and dynamic response factor are presented to demonstrate the influence of nondimensional frequency of excitation, poroelastic soil layer thickness, depth ratio of the foundation and internal friction of the poroelastic soil.  相似文献   

10.
A numerical scheme is developed in the paper for calculating torsional, vertical, horizontal, coupling and rocking impedances in frequency domain for axial-symmetric foundations embedded in layered media. In the scheme, the whole soil domain is divided into interior and exterior domains. For the exterior domain, the analytic solutions with unknown coefficients are obtained by solving three-dimensional (3D) wave equations in cylindrical coordinates satisfying homogeneous boundary conditions. For the interior domain, the analytical solutions are also obtained by solving the same 3D wave equations satisfying the homogeneous boundary conditions and the prescribed boundary conditions. The prescribed conditions are the interaction tractions at the interfaces between embedded foundation and surrounding soil. The interaction tractions are assumed to be piecewise linear. The piecewise linear tractions at the bottom surface of foundation will be decomposed into a series of Bessel functions which can be easily fitted into the general solutions of wave equations in cylindrical coordinates. After all the analytic solutions with unknown coefficients for both interior and exterior domains are found, the variational principle is employed using the continuity conditions (both displacements and stresses) at the interfaces between interior and exterior domains, interior domain and foundation, and exterior domain and foundation to find impedance functions.  相似文献   

11.
为了研究P波斜入射对沉管隧道地震响应的影响,以港珠澳大桥沉管隧道为工程背景,考虑上覆海水与海床、沉管隧道之间耦合作用,采用粘弹性边界和等效力的地震荷载输入方式,利用ADINA软件建立三维有限元模型进行地震响应分析。分析入射角为0°、20°、40°、50°、60°时P波对沉管隧道环向应力峰值(正应力峰值、剪应力峰值)和位移峰值的影响,结果表明:入射角为40°时,沉管隧道应力峰值最大;入射角为0°—40°时,隧道的应力峰值逐渐增大,入射角为40°—60°时,隧道的应力峰值逐渐减小;隧道截面4个转角处及隔墙与顶板、底板的连接处为隧道剪应力峰值最大处;隧道截面左侧剪应力峰值远大于右侧;隧道顶板正应力峰值最大,顶板的正应力峰值大约为底板的2倍;隧道截面左侧位移峰值远大于隧道截面右侧。  相似文献   

12.
Simplified transverse seismic analysis of buried structures   总被引:4,自引:0,他引:4  
This paper presents a simplified method for the analysis of square cross-section buried structures (tunnel) subjected to seismic motion. Finite element analyses are performed to assess the fundamental modes of vibration of the soil layer with and without the tunnel. The influence of the tunnel on the modes of vibrations is taken into account by comparing the modal deformations in the free-field to those in the presence of the tunnel. From this comparison the zone of influence of the modal displacements due to the presence of the structure is determined. The resulting model is subjected to horizontal and vertical excitation of statistically independent accelerograms compatible with the response spectra of the Regulatory Guide 1.6 of the Nuclear Energy Commission. The free-field displacement is introduced at the boundaries of the zone of influence. The proposed simplified static analysis yields a state of stresses similar to that obtained from a full dynamic analysis of the complete soil–tunnel system. Several examples are solved to corroborate the validity of the method.  相似文献   

13.
介绍了高速铁路防风明洞的基本作用及设计方法;利用计算流体动力学原理中的数学模型及控制方程,对兰新第二双线铁路防风明洞大风作用下的风荷载进行了分析;通过计算工况的假定以及边界条件的合理设定,采用有限体积法建立防风明洞数值分析模型,并模拟计算了平地路段、浅路堑地段和路堤地段三大类工况和70、60、50、40m/s4种风速情况。研究结果表明:①开孔情况下,明洞各部位所受风荷载随着风速增大而增大;②明洞迎风侧均为正压,平地地段与路堤地段所受正压较接近,最大值出现在风速为70m/s时,迎风边墙正压为3202Pa;③明洞拱顶及背风侧均为负压,浅路堑地段所受负压最大值出现在风速为70m/s时,拱顶负压为-3550Pa;④各地段背风侧所受负压均小于-1500Pa,背风墙脚与背风边墙受力基本相同;⑤各地段各风速情况下,拱顶处负压均为最大;⑥开孔情况下的明洞各部位风荷载,普遍小于不开孔情况;⑦明洞开孔附近有回流风速,并随着外界风速增大而增大。  相似文献   

14.
以郑州地区某地铁隧道段为工程背景,采用三维精细化管片和正交各向异性圆环衬砌模型模拟隧道结构,将地铁列车运行荷载简化为人工激励函数,构建地铁列车运行对相邻近距离垂直交叠隧道动力响应的数值模型,对不同列车位置、隧道结构、列车速度、隧道净距等工况下近距离垂直交叠相邻隧道的竖向振动响应、影响范围和动应力进行分析。研究结果表明:上隧道运行列车对下部近距离隧道的拱顶的振动影响较大,其他区域影响较小;下隧道运行列车对上部近距离隧道的振动影响整体较小;采用错缝拼装有利于降低近距离垂直交叠隧道在交叠段的振动影响;上隧道列车在启动加速阶段和达到最高速度行驶两个阶段对下隧道拱顶的加速度影响较大;随着隧道净距的减小,上隧道列车引起近距离交叠垂直隧道的下隧道的拱顶竖向加速度显著增加,交叠区域的整体振动最强烈,当远离交叠段1倍洞径后,净距对加速度值的影响可忽略不计。  相似文献   

15.
The current study proposes an analytical closed-form solution for the dynamic distress of rigid fixed-base retaining systems aiming at evaluating the main assumptions and limitations of the pertinent available elasticity-based methods. The new solution is actually an extension of the well-known model of Wood and is capable of evaluating the dynamic distress of either a single or a pair of rigid fixed-base walls interacting with each other, in the case of harmonic base loading. Wall distress is mainly evaluated in terms of dynamic earth pressures, shear forces and bending moments, while the original concept of a “distress spectrum” is introduced as a potential new tool for the seismic design of retaining structures. Distress and wall deformation are interrelated in a number of three-dimensional graphs, where dynamic interaction phenomena are evident. Finally, given the rigorous nature of the new solution, its results verify qualitatively and quantitatively the negligible amplitude of the computational errors of the approximate elasticity-based solutions proposed in the literature.  相似文献   

16.
The scattering of plane harmonic P and SV waves by a pair of vertically overlapping lined tunnels buried in an elastic half space is solved using a semi-analytic indirect boundary integration equation method. Then the effect of the distance between the two tunnels, the stiffness and density of the lining material, and the incident frequency on the seismic response of the tunnels is investigated. Numerical results demonstrate that the dynamic interaction between the twin tunnels cannot be ignored and the lower tunnel has a significant shielding effect on the upper tunnel for high-frequency incident waves, resulting in great decrease of the dynamic hoop stress in the upper tunnel; for the low-frequency incident waves, in contrast, the lower tunnel can lead to amplification effect on the upper tunnel. It also reveals that the frequency-spectrum characteristics of dynamic stress of the lower tunnel are significantly different from those of the upper tunnel. In addition, for incident P waves in low-frequency region, the soft lining tunnels have significant amplification effect on the surface displacement amplitude, which is slightly larger than that of the corresponding single tunnel.  相似文献   

17.
18.
Predicting transient inflow rates into a tunnel is an important issue faced by hydrogeologists. Most existing analytical solutions overestimate the initial discharge due to the assumption that drilling was instantaneous over the entire tunnel length. In addition, they assume a homogeneous system. An alternative model was recently developed for tunnels intersecting heterogeneous formations, but its application was reduced to the case of confined flow to deep tunnels in weakly diffusive aquifers. In this paper, we adapt existing analytical solutions for drainage systems to the specific case of a tunnel progressively drilled in a highly diffusive heterogeneous unconfined aquifer. The case of a tunnel overlying an impervious layer is analytically solved by applying the superposition principle, while the case of a tunnel constructed some distance above an impervious layer is solved by discretizing the tunnel length into subsectors. Both models can simulate transient discharge into a tunnel drilled at various speeds through a heterogeneous unconfined aquifer, and allow the prediction of discharge rates in shallow tunnels located in highly diffusive aquifers. We successfully applied this approach to a tunnel in heterogeneous volcanic rock.  相似文献   

19.
以拟建的哈尔滨松花江隧道为背景,考虑土体—衬砌的材料非线性特性和相互作用,按平面应变假定,建立在不同场地条件下的若干接近实际的有限元计算模型,应用有限元计算软件ANSYS进行数值分析,得出不同场地条件下隧道周围土体位移的分布规律,遴选出了影响水下隧道周围土体变形的部分关键因素,为合理确定隧道覆土层安全厚度提供了一定的理论依据。  相似文献   

20.
The effect of ground stratification on the seismic response of circular tunnels is investigated, as most practice-oriented studies consider homogeneous ground. A finite element plain-strain model of a circular tunnel cross-section embedded in a two-layered ground is used to highlight the influence of stratification on the tunnel׳s seismic response. The layers interface was placed at the crown, centre and invert level.It is proved that ground stratification has an important role in the lining seismic forces. When the tunnel is fully embedded in one of the layers, the seismic lining forces may vary significantly in comparison with the single-layer case. If the tunnel intercepts both layers, maximum lining forces aggravation occurs when the lower layer is very stiff.  相似文献   

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