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1.
卢正  姚海林  程平  吴万平 《岩土力学》2010,31(10):3286-3294
基于实测资料,假设列车轮载经钢轨传递下来的荷载由5根枕木承担。根据分担比,获得了道渣层表面非均布荷载的表达式。将道渣层视为单相弹性介质,软土地基被看成是考虑水土耦合作用的饱和多孔介质。借助势函数,利用Helmholtz矢量分解法及Fourier变换技术分别对弹性土体和饱和半空间土体进行求解,得到非均布移动荷载作用下软土地基位移、应力及孔压响应在变换域内的精确解答。利用FFT算法得到了数值结果,详细分析了荷载分布形式、观察点位置、道渣性质以及软土地基渗透系数对动力响应的影响。研究结果表明:高速情况下动力响应与低速情况有很大不同;对于软土路基,应特别注意列车高速运行时路基浅层范围内产生的孔压响应。  相似文献   

2.
The problem of the dynamic responses of a semi‐infinite unsaturated poroelastic medium subjected to a moving rectangular load is investigated analytical/numerically. The dynamic governing equations are obtained with consideration of the compressibility of solid grain and pore fluid, inertial coupling, and viscous drag as well as capillary pressure in the unsaturated soil, and they can be easily degraded to the complete Biot's theory. Using the Fourier transform, the general solution for the equations is derived in the transformed domain, and then a corresponding boundary value problem is formulated. By introducing fast Fourier transform algorithm, the unsaturated soil vertical displacements, effective stresses, and pore pressures induced by moving load are computed, and some of the calculated results are compared with those for the degenerated solution of saturated soils and confirmed. The influences of the saturation, the load speed, and excitation frequency on the response of the unsaturated half‐space soil are investigated. The numerical results reveal that the effects of these parameters on the dynamic response of the unsaturated soil are significant.  相似文献   

3.
The vibrations of railway tracks on a poroelastic half‐space generated by moving trains are investigated through a vehicle–track–ground coupling model. The theoretical model incorporates a vehicle, a track, and a fully saturated poroelastic half‐space soil medium. The source of vibration excitation is divided into two components: the quasi‐static loads and the dynamic loads. The quasi‐static loads are related to the static component of the axle loads, whereas the dynamic loads are due to the dynamic wheel–rail interaction. A linear Hertizian contact spring is introduced between each wheelset and the rail to consider the dynamic loads. Biot's dynamic theory is used to characterize the poroelastic half‐space soil medium. Using the Fourier transform, the governing equations for the track–ground system are solved and the numerical results are presented for a single axle vehicle model. The different dynamic characteristics of the elastic soil medium and the saturated poroelastic medium are investigated. In addition, the different roles of the moving axle loads and the roughness‐induced dynamic loads are identified. It is concluded that the vibration level of the free field off the track predicted by the poroelastic soil medium is smaller than that predicted by the elastic soil medium for vehicle speed below the Rayleigh wave speed of the poroelastic half‐space, whereas it is larger for vehicle speed above the Rayleigh wave speed. The dynamic loads play an important role in the dynamic responses of the track–ground system. Copyright © 2010 John Wiley & Sons, Ltd.  相似文献   

4.
软弱饱和土夹层对地铁车站地震响应的影响分析   总被引:1,自引:0,他引:1  
李伟华  赵成刚  杜楠馨 《岩土力学》2010,31(12):3958-3963
震害调查表明,当地下结构处于非均匀场地、软土层或在结构侧边存在软土夹层等复杂地质环境条件时,地下结构更易遭到损坏。因此,将对含有软弱饱和土夹层场地中地铁车站的地震响应进行分析。结合已有的单相介质和流体饱和多孔介质动力分析的显式有限元方法,考虑了土层中存在软弱夹层的情况,把软弱夹层模拟为流体饱和多孔介质,建立了适用于含软弱饱和土夹层场地中地铁车站结构地震响应分析的有限元方法;进行建模数值计算,分别给出了3条具有不同频谱特性的实际地震记录以P波形式入射下地铁车站结构关键位置的地震动响应,并分析了软弱夹层的位置、厚度等因素对地铁车站结构地震动响应的影响。分析结果表明,软弱夹层对地铁车站结构地震动响应具有非常不利的放大作用,且当软夹层位于地铁车站中部时,放大作用最不利。  相似文献   

5.
含软夹层的层状沉积河谷场地的地震动力响应分析   总被引:1,自引:0,他引:1  
把层状沉积河谷场地中的软夹层模拟为流体饱和多孔介质,结合已有的对单相弹性固体介质、流体饱和多孔介质进行动力反应分析的显式有限元方法,建立了既能描述沉积河谷谷底的软土场地(用流体饱和多孔介质描述),又能描述河谷周边山体(用单相弹性介质描述)的计算模型,并利用该方法分析了研究在P波入射下软夹层厚度以及软夹层的刚度等因素对层状沉积谷场地地震动力响应的影响。  相似文献   

6.
A single pile embedded in a layered poroelastic half‐space subjected to a harmonic lateral load is investigated in this study. Based on Biot's theory, the frequency domain fundamental solution for a horizontal circular patch load applied in the layered poroelastic half‐space is derived via the transmission and reflection matrices method. Utilizing Muki and Sternberg's method, the second kind of Fredholm integral equation describing the dynamic interaction between the layered half‐space and the pile subjected to a top harmonic lateral load is constructed. The proposed methodology is validated by comparing results of this paper with some existing results. Numerical results show that for a two‐layered half‐space, the thickness of the upper softer layer has pronounced influences on the dynamic response of the pile and the half‐space. For a three‐layered half‐space, the presence of a softer middle layer in the layered half‐space will enhance the compliance for the pile significantly, while a stiffer middle layer will diminish the dynamic compliance of the pile considerably. Copyright © 2009 John Wiley & Sons, Ltd.  相似文献   

7.
水力冲孔是煤层瓦斯增透抽采的主要技术措施,其主要以出煤量考察卸压效果,但是也存在出煤量大、卸压不均一、应力易集中等问题。因此,提出软煤夹层水射流层状卸压增透抽采瓦斯技术,考虑瓦斯压力压缩和煤基质吸附瓦斯膨胀对本体变形的影响,建立应力场、裂隙场、渗流场耦合条件下的多物理场理论模型,并结合COMSOL数值模拟软件对软煤夹层水射流分支数、卸压影响范围内煤体的瓦斯压力和瓦斯含量变化规律进行了研究。研究表明:当水射流分支长半轴为2 m,短半轴为0.22 m时,水射流分支数为6个时较为合理;在相同出煤率情况下,相同时间内瓦斯压力和含量均随着与钻孔距离的增加而减小,抽采180 d,水射流层状卸压有效抽采半径约为常规水力冲孔有效抽采半径的2.14倍,且在有效影响范围2 m时,水射流层状卸压瓦斯含量降低量为7 m3/t,而常规水力冲孔瓦斯含量降低量为4.1 m3/t,水射流层状卸压瓦斯降低量为常规水力冲孔的1.71倍;在新义煤矿现场试验中发现,当水射流层状卸压出煤率为常规冲孔出煤率的0.29~0.71倍,抽采较高浓度瓦斯时长仍是常规水力冲孔的2倍。软煤夹层水射流层状卸压增透抽采瓦斯技术的提出,对未来煤矿井下软煤夹层水力冲孔技术的发展有着重要的意义,为井下瓦斯的治理提供了新的方法和方向。   相似文献   

8.
王滢  高广运 《岩土力学》2016,37(3):850-858
工程中,地下衬砌隧道会遇到水压破裂压力、爆炸及突然开挖等瞬态荷载作用,将这些荷载理想化为作用在衬砌内边界上的均布瞬态荷载,研究圆柱形衬砌隧道在突加荷载、阶跃荷载和三角形脉冲荷载作用下的动力响应规律。根据Biot波动理论推导出半空间饱和介质的控制方程;视衬砌结构为弹性材料导出衬砌结构的控制方程。用极大半径凸圆弧近似半空间直边界,采用Graff加法公式进行坐标变换,将直角坐标表示的通解转化为极坐标表示的通解。根据边界条件导出衬砌和土体的位移、应力和孔隙压力的Laplace变换域的解答。利用反Laplace变换数值计算方法,将解答转换为时域解,得出3种瞬态荷载作用下衬砌隧道地面位移峰值、衬砌应力和孔隙压力的分布规律。  相似文献   

9.
This paper is dedicated to study the dynamic response of a thin‐plate resting on a layered poroelastic half‐space under a moving traffic load. Based on the dynamic poroelastic theory of Biot, the general solutions of the homogeneous poroelastic foundation are obtained by Fourier translation. By using the transmission and reflection matrices method in the frequency domain, the equivalent stiffness of the layered poroelastic half‐space is presented. Kirchhoff's hypotheses are applied to obtain the vertical displacement of the thin plate. By using the inverse Fourier transform, the time domain solution is obtained. As an example of three layers, the influences of the load velocity, the material properties of poroelastic layers, and the flexural rigidity of the plate on the response of the pavement system are examined. Analyses show that a soft intermediate layer results in the significant increase of vertical displacement of road pavement. Comparison with the existing work validates the present model. Copyright © 2013 John Wiley & Sons, Ltd.  相似文献   

10.
A mathematical treatment is presented for the forced vertical vibration of a padded annular footing on a layered viscoelastic half‐space. On assuming a depth‐independent stress distribution for the interfacial buffer, the set of triple integral equations stemming from the problem is reduced to a Fredholm integral equation of the second kind. The solution method, which is tailored to capture the stress concentrations beneath footing edges, is highlighted. To cater to small‐scale geophysical applications, the model is used to investigate the near‐field effects of ground‐loading system interaction in dynamic geotechnical and pavement testing. Numerical results indicate that the uniform‐pressure assumption for the contact load between the composite disc and the ground which is customary in dynamic plate load testing may lead to significant errors in the diagnosis of subsurface soil and pavement conditions. Beyond its direct application to non‐intrusive site characterization, the proposed solution can be used in the seismic analysis of a variety of structures involving annular foundation geometries. Copyright © 2002 John Wiley & Sons, Ltd.  相似文献   

11.
By virtue of a pair of scalar potentials for the displacement of the solid skeleton and the pore fluid pressure field of a saturated poroelastic medium, an alternative solution method to the Helmholtz decomposition is developed for the wave propagation problems in the framework of Biot's theory. As an application, a comprehensive solution for three‐dimensional response of an isotropic poroelastic half‐space with a partially permeable hydraulic free surface under an arbitrarily distributed time‐harmonic internal force field and fluid sources is developed. The Green's functions for the poroelastic fields, corresponding to point, ring, and disk loads, are reduced to semi‐infinite complex‐valued integrals that can be evaluated numerically by an appropriate quadrature scheme. Analytical and numerical comparisons are made with existing elastic and poroelastic solutions to illustrate the quality and features of the solution. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献   

12.
The paper presents a three‐dimensional study on the steady‐state response of a track system and layered half‐space soil medium subjected to the load induced by the passages of a moving train with the substructure method. Practically, due to the ground water table being several meters beneath the ground surface, the soil profile can be divided into two layers: the upper layer modeled by an elastic medium and the lower layer by a fully saturated poroelastic medium governed by Biot's theory. In the meanwhile, the rails are regarded as an infinitely long Euler beam, and the sleepers are represented by a continuous mass. The effect of the ballast is accounted for by introducing the Cosserat model for granular medium, and the train is described by a series of moving axle point loads, depending on the geometry of the train. The influences of the thickness, the mass and the rigidity of the elastic layer and the mass of the ballast on rail's displacement responses are carefully investigated. Numerical results show that the influences of these parameters are significant for high train velocity, while vanishes for low velocity. Copyright © 2008 John Wiley & Sons, Ltd.  相似文献   

13.
软土地基处理恰当与否,关系到整个工程质量、投资和进度,其重要性已越来越多地被人们所认识。通过开展一次性免堆载预压技术研究,根据排水固结原理及桩体自身抗拔力,用三维固结筒实现饱和软土无外来荷载条件下的一次性快速排水固结,提高地基土抗剪强度、降低压缩性、改善透水性及动力特征。  相似文献   

14.
杨骁  周磊  张敏 《岩土力学》2015,36(7):2013-2020
假定土骨架服从标准线性固体黏弹性本构关系,研究了深埋圆形隧洞的饱和黏弹性土-弹性衬砌耦合系统在轴对称爆炸作用下的瞬态动力响应。首先,基于饱和土的Biot模型和衬砌的弹性理论,通过引入势函数和Laplace变换,利用弹性衬砌和饱和黏弹性土界面处的连续性条件以及边界条件,得到饱和黏弹性土体和弹性衬砌位移、应力和孔隙水压力等在Laplace变换域中的解析解。其次,利用Laplace数值Crump逆变换得到耦合系统在时间域的动力响应,数值分析了不同土体模型下土体-衬砌耦合系统的径向位移和环向应力以及土体孔隙水压力等。结果表明:对不同土体模型的土体-衬砌耦合系统,其在爆炸载荷作用下的动力响应性态基本一致,但动力响应的振动周期和幅值等具有明显的差异。同时,对于饱和黏弹性土-弹性衬砌系统,土体黏性参数对土体径向位移和孔隙水压力有明显的影响,但对土体环向应力影响较小。  相似文献   

15.
软弱夹层的极限荷载分析   总被引:2,自引:0,他引:2  
殷勇  周国庆 《岩土力学》2015,36(4):1035-1040
岩土体中的软弱夹层是一种广泛存在的地质体,由于其力学性质较差,容易给工程建设带来安全隐患,对其稳定性的研究逐步引起重视。根据塑性极限平衡分析方法,针对软弱夹层的承载稳定问题,将软弱夹层上下土层当作准刚性层,基于修正Prandtl挤压理论解答对软弱夹层的极限荷载进行了计算。分析过程中认为,准刚性层间的软弱夹层在极限状态下发生塑性挤出破坏,考虑到Prandtl挤压理论的剪应力解答在x方向上的不足,结合不同的边界应力条件,对软弱夹层中的应力分量和夹层表面的极限荷载进行了重新求解。推导的极限荷载实用计算式能综合考虑软弱夹层面的摩擦条件、土层自重及夹层周围的受力状态等因素,并与其他理论计算式的结果进行了对比分析。计算结果分析表明,不考虑土重时,该方法计算的夹层极限荷载随厚度变化规律与Prandtl方法基本一致;考虑土重影响时,该方法计算结果与规范法相似,但在夹层较厚时能更明确地反映宽度对极限荷载的影响。此外,夹层上下边界的摩擦条件对极限荷载的影响程度随夹层宽厚比的不同而变化,对于一定厚度的夹层存在几乎不受摩擦条件影响的临界宽度。其研究结果可为软弱夹层的承载稳定分析提供参考。  相似文献   

16.
Elastic lateral dynamic impedance functions are defined as the ratio of the lateral dynamic force/moment to the corresponding lateral displacement/rotation at the top ending of a foundation at very small strains. Elastic lateral dynamic impedance functions have a defining influence on the natural frequencies of offshore wind turbines supported on cylindrical shell type foundations, such as suction caissons, bucket foundations, and monopiles. This paper considers the coupled horizontal and rocking vibration of a cylindrical shell type foundation embedded in a fully saturated poroelastic seabed in contact with a seawater half‐space. The formulation of the coupled seawater–shell–seabed vibration problem is simplified by treating the shell as a rigid one. The rigid shell vibration problem is approached by the integral equation method using ring‐load Green's functions for a layered seawater‐seabed half‐space. By considering the boundary conditions at the shell–soil interface, the shell vibration problem is reduced to Fredholm integral equations. Through an analysis of the corresponding Cauchy singular equations, the intrinsic singular characteristics of the problem are rendered explicit. With the singularities incorporated into the solution representation, an effective numerical method involving Gauss–Chebyshev method is developed for the governing Fredholm equations. Selected numerical results for the dynamic contact load distributions, displacements of the shell, and lateral dynamic impedance functions are examined for different shell length–radius ratio, poroelastic materials, and frequencies of excitation. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献   

17.
韩冰  梁建文  朱俊 《岩土力学》2018,39(6):2227-2236
工程场地中透镜体对地震动具有明显的影响,且饱和场地与相应干土场地的地震响应具有明显的差别,而目前对于深厚饱和软土场地中透镜体对地震响应的影响还鲜有研究。采用有限元-间接边界元耦合法,建立饱和场地中非线性土-结构动力相互作用模型,对深厚饱和软土场地中透镜体的宽度、厚度和埋深对上部结构动力响应的影响进行了系统地分析,并着重讨论了土骨架-孔隙水耦合作用的影响。研究表明,深厚饱和软土场地中的透镜体可能会明显改变上部结构的动力响应;透镜体的宽度、厚度和埋深对上部结构动力响应有不同程度的影响,且与干土场地中规律存在明显差异;土骨架-孔隙水耦合作用对上部结构动力响应的影响显著。  相似文献   

18.
埋置简谐扭转荷载作用下广义Gibson饱和地基动力响应   总被引:1,自引:0,他引:1  
吴大志  张振营 《岩土力学》2015,36(1):149-155
考虑地基为饱和半空间,研究了广义Gibson饱和地基内作用简谐扭转动荷载时地基的动力响应问题。从Biot饱和地基固结理论出发,结合扭转振动的特点,建立了剪切模量随深度线性变化的饱和地基扭转振动的动力微分方程,通过Hankel变换求解此微分方程,给出了Hankel变换域内的切向位移和剪应力关于待定系数的表达式。根据饱和地基表面为自由表面,荷载作用面位移连续、剪应力差等于动荷载大小,波的辐射条件等边界条件求解出待定系数,借助Hankel逆变换给出地基内的位移和应力的表达式。通过数值算例研究发现:在同一水平面内,地基内的切向位移和剪应力曲线的实部和虚部都呈现出非常明显的波动变化规律;在竖向平面内,动荷载作用面上部区域内随深度逐渐增大时,地基内切向位移和剪应力曲线的实部逐渐增大,而在动荷载作用面下部区域则正好相反;扭转动荷载的影响范围主要是荷载作用面上下2倍半径区域。  相似文献   

19.
运动荷载附近有限层厚软土地基的振动研究   总被引:4,自引:4,他引:0  
基于Biot多孔弹性介质的波动理论,研究了运动荷载附近软土地基的振动问题。假设一条形均布荷载作用在地基表面,则该模型可视为平面应变问题进行分析。通过引入4个势函数和Helmholtz原理,并利用Fourier变换及逆变换技术,获得了运动荷载作用下软土地基的应力、位移和孔隙水压力的解答。利用离散Fourier逆变换得到数值计算结果,分析了荷载速度,频率以及软土的渗透系数及多孔弹性参数对运动荷载作用下地表竖向位移及土体中任一点孔隙水压力分布的影响。  相似文献   

20.
Zhou  Jian  Luo  Ling-Hui  Yu  Liang-Gui  Nangulama  Horris 《Acta Geotechnica》2020,15(12):3357-3370

The hydraulic conductivity k, one of the most important engineering properties of soft clay, plays a great role during the whole life cycle of underwater tunnel. Therefore, it is necessary to systematically study the responses of k to the dynamic load under the background of the great development of geotechnical engineering in the world. In this study, a series of seepage tests after cyclic loading were conducted on reconstituted kaolin clay using a modified hollow cylinder apparatus. The influence of cyclic load on the permeability characteristics of soft clay was illustrated in two aspects. The cumulative axial deformation of clay induced by cyclic loading resulted in the smaller hydraulic conductivity of the specimens, and also, the dynamic load reconstructed the microstructure of clay and made the number of large pores getting decreased and the small pores increased. There was a positive correlation between the deformation of soil and the change of hydraulic conductivity, but the reconstruction effect was irregular with the frequency of dynamic load. The measured k values got affected at the beginning, this phenomenon appropriately explains the positive correlation between the number of cycles of dynamic load and the change of hydraulic conductivity.

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