饱和土中桩对瑞利波的动力响应

基于Boit饱和多孔介质理论,采用文克勒地基梁模型,研究了表面透水的饱和土介质中桩顶自由的情况下桩对瑞利波的横向响应。计算了:①软土和硬土情况下不同深度桩的响应;②饱和土的孔隙率对桩的响应之影响;③土介质相对刚度对桩响应的影响;④fc-z空间桩响应的分布。结果表明,饱和土介质中桩对瑞利波的横向响应受波的频率、土介质性质、桩—土刚度比等因素的影响。整体来看,瑞利波对桩的横向影响自上而下大致呈衰减趋势,在地表处其影响最大;瑞利波对桩的影响深度随频率的降低而扩大;桩和土之间的水平相对位移幅度与土的孔隙率、刚度比均呈正相关关系;同频率下,相对软土地基来说硬土地基中的桩受瑞利波的影响较深。计算结果对工程抗震设计具有实用价值。     

波浪与地震对小尺度桩柱的共同作用研究

本文以某一实际平台桩柱为例,对其进行波浪作用以及波浪与地震共同作用研究。依据我国海港水文规范JTJ213-98、DNV的环境条件和环境荷载规范以及API的相关规范[1-3],对波浪荷载的计算采取不同的简化处理方式,从而分析流体的附加质量效应和流固耦合效应在不同工况下对桩柱结构响应的影响,并分析了该影响随工作水深和波浪参数的变化规律。结果表明,两种工况下流体的附加质量效应和流固耦合效应对桩柱响应的影响趋势并不相同,当进行波浪与地震共同作用分析时,有必要考虑流体附加质量效应和流固耦合效应对结构响应的影响。     

基于流固耦合两相介质动力模型的饱和土体—地下结构体系地震反应研究

基于ABAQUS有限元软件平台,应用流固耦合两相介质动力模型孔压单元模拟场地饱和土体,进行了饱和土体-地下结构地震反应的计算研究。结果表明：在地震输入的最后时刻结构的两侧底角区域应力值最大;土体的孔隙压力和竖向位移主要集中在结构下方的区域,结构两侧土体的孔压与竖向位移呈对称分布;场地土体的竖向位移随深度的增加逐渐减小;体系最大地震反应出现的时刻对应于输入地震动的最大加速度出现的时刻。表明了流固耦合两相介质动力模型孔压单元在饱和土体-地下结构体系地震反应研究中的有效性。     

考虑流固强耦合效应的深水桥墩地震反应分析

基于任意拉格朗日-欧拉（Aribitrary Lagrange-Euler,ALE）描述的Navier-Stokes方程,建立了考虑流固强耦合效应（Fluid-structure interaction,FSI）的深水桥墩地震反应分析整体有限元模型,分析了流固强耦合效应对桥墩墩身相对位移、剪力和弯矩反应的影响,讨论了不同水位下的流固耦合效应及其影响。算例结果表明：流固强耦合效应将使墩身位移和内力反应明显增大,增大幅度与输入地震波的频谱特性存在相关性;输入地震波的位移峰值越大,流固耦合效应对位移反应的影响越大,对内力反应的影响越小;水位对深水桥墩内力反应的影响较对位移的影响显著。     

通过群桩-土-偏心结构振动台试验分析群桩与地基的响应

通过对群桩-土-偏心结构相互作用体系振动台试验,分析了结构偏心效应对相互作用体系自振特性、地基振动和桩基变形的影响规律。试验结果表明:地基土的加入使得相互作用体系前两阶自振频率相差增大,平扭振动耦联程度降低,体系阻尼比明显增加;结构偏心效应增大了角桩的加速度响应,高出同深度边桩测点10～15%,桩身振动频率特性较场地土有明显差别;角桩变形幅度较边桩更为突出,桩长范围内角桩应变峰值始终大于边桩测点,两者相差在桩顶附近达到最大;桩间土承担了部分扭转效应,角桩较边桩应变增幅约为对应位置筏板位移增幅的一半;土的动力放大特性与以往研究规律相近,结构偏心效应对地基整体振动产生的影响不很明显;桩土界面动力响应与筏板平动位移时程相对应,且随深度的增加而逐步增大。     

两相饱和介质中的集中力点源位移场解与应用

通过两相饱和介质Ｂｉｏｔ方程变换,利用势场分解较好地解决了饱和两相介质中Ｐ１和Ｐ２波的耦合问题．再由Ｐｏｉｓｓｏｎ方程和Ｈｅｌｍｈｏｔｚ方程的特性,求解得到两相饱和介质在集中力点源作用下的位移场Ｇｒｅｅｎ函数,进而通过阶跃函数和Ｆｏｕｒｉｅｒ逆变换,求得两相介质在集中力．作用下的波场．由上述结果,根据扩容进水模型,合理地解释了孕震前各主要阶段在地震记录中垂直向振幅与振幅比统计值的变化．最后结合工作实例,利用两相介质波场理论求得由一般弹性介质理论不易求得的骨架固体力学参数．     

两相饱和介质中的集中力点源位移场解与应用

通过两相饱和介质Ｂｉｏｔ方程变换,利用势场分解较好地解决了饱和两相介质中Ｐ１和Ｐ２波的耦合问题．再由Ｐｏｉｓｓｏｎ方程和Ｈｅｌｍｈｏｔｚ方程的特性,求解得到两相饱和介质在集中力点源作用下的位移场Ｇｒｅｅｎ函数,进而通过阶跃函数和Ｆｏｕｒｉｅｒ逆变换,求得两相介质在集中力．作用下的波场．由上述结果,根据扩容进水模型,合理地解释了孕震前各主要阶段在地震记录中垂直向振幅与振幅比统计值的变化．最后结合工作实例,利用两相介质波场理论求得由一般弹性介质理论不易求得的骨架固体力学参数．     

黏弹性介质中瑞利波频散曲线和衰减系数曲线的反演

瑞利波具有能量大、信噪比高等特点,可以用来反演介质内部的力学信息,近年来在浅层地球物理勘探、深层地震学研究以及超声波无损检测等多个领域都有较广泛的应用。目前大多数瑞利波的应用中都假设介质是弹性的,然而实际中岩石、土壤和金属等介质都在一定程度上体现出了黏弹性。当介质的黏弹性较强时仍然采用弹性假设研究其中瑞利波的反演将增大误差,因此有必要考虑黏弹性介质中的瑞利波反演,但是目前这方面的研究仍不够深入。本文研究黏弹性介质中瑞利波频散曲线和衰减系数曲线的反演问题,给出其在半空间中联合反演的方法,并对该方法的误差进行分析。     

波浪力对深水桥墩结构在地震和冰荷载作用下的响应影响分析

考虑到波浪力对深水桥墩地震响应和冰振响应的影响,本文基于非线性Morision方程,同时考虑附加质量效应和流固耦合效应,通过建立深水桥墩结构有限元分析模型及动力平衡方程,对深水桥墩结构进行了波浪、冰荷载、地震3种环境激励荷载单独作用下,以及不同组合形式共同作用下的数值分析;进而对计算结果进行了比较,探讨了动水压力对深水桥墩结构响应的影响程度,可为今后深水桥墩抗震以及抗冰设计提供一定的借鉴和参考。     

远场地震作用下桩间横向动力相互作用的研究

在远场地震作用下单桩横向地震响应研究的基础上,引入相互作用因子,研究了远场地震作用下成层地基中桩与桩的横向动力相互作用,得到了桩间距、桩土刚度比、桩顶约束条件、瑞利波入射角度、震动频率是影响群桩横向动力相互作用主要因素的结论,为进一步研究远场地震作用下群桩的横向地震响应打下了基础。     

饱水介质波动分析的谐波输入初始间断的处理方法

本文以饱水两相介质的土力学模型为研究对象,在假定两相介质为弹性介质条件下,采用了显式有限元法和透射边界进行了饱和弹性半空间动力响应问题的研究。为避免谐波输入初始间断的影响,文中提出了一个处理函数,并以弹性半空间为算例,对饱水介质和单相介质分别进行了在底边界P波垂直入射时的动力响应分析,验证了该处理函数的有效性和实用性。     

Flexible support of a pile embedded in unsaturated soil under Rayleigh waves

Under the action of Rayleigh waves, pile head is easy to rotate with a concrete pile cap, and pure fixed-head condition is rarely achieved, which is a common phenomenon for it usually occurs on the precast piles with insufficient anchorage. In addition, the propagation characteristics of Rayleigh wave have been changed significantly due to the existence of capillary pressure and the coupling between phases in unsaturated soil, which significantly affects the pile-soil interaction. In order to study the above problems, a coupled vibration model of unsaturated soil–pile system subjected to Rayleigh waves is established on the basis that the pile cap is equivalent to a rigid mass block. Meanwhile, the soil constitution is simplified to linear-elastic and small deformations are assumed to occur during the vibration phase of soil–pile system. Then, the horizontal dynamic response of a homogeneous free-field unsaturated soil caused by propagating Rayleigh waves is obtained by using operator decomposition theory and variable separation method. The dynamic equilibrium equation of a pile is established by using the dynamic Winkler model and the Timoshenko beam theory, and the analytical solutions of the horizontal displacement, rotation angle, bending moment and shear force of pile body are derived according to the boundary conditions of flexible constraint of pile top. Based on the present solutions, the rationality of the proposed model is verified by comparing with the previous research results. Through parametric study, the influence of rotational stiffness and yield bending moment of pile top on the horizontal dynamic characteristics of Rayleigh waves induced pile is investigated in detailed. The analysis results can be utilized for the seismic design of pile foundation under Rayleigh waves.     

Dynamic structure–soil–structure interaction between nearby piled buildings under seismic excitation by BEM–FEM model

The dynamic through–soil interaction between nearby pile supported structures in a viscoelastic half-space, under incident S and Rayleigh waves, is numerically studied. To this end, a three-dimensional viscoelastic BEM–FEM formulation for the dynamic analysis of piles and pile groups in the frequency domain is used, where soil is modelled by BEM and piles are simulated by one-dimensional finite elements as Bernoulli beams. This formulation has been enhanced to include the presence of linear superstructures founded on pile groups, so that structure–soil–structure interaction (SSSI) can be investigated making use of a direct methodology with an affordable number of degrees of freedom. The influence of SSSI on lateral spectral deformation, vertical and rotational response, and shear forces at pile heads, for several configurations of shear one-storey buildings, is addressed. Maximum response spectra are also presented. SSSI effects on groups of structures with similar dynamic characteristics have been found to be important. The system response can be either amplified or attenuated according to the distance between adjacent buildings, which has been related to dynamic properties of the overall system.     

基于Comsol的饱和多孔介质动力方程的数值模拟及应用

两相饱和多孔介质的动力响应问题在地震工程领域具有重要的研究意义,由于涉及到固相和液相的动力耦合,使得该问题的求解尤为复杂。本文利用Comsol在求解多场耦合问题上的优点,针对Biot饱和多孔介质u-U耦合形式下的波动方程特征,经过一系列微分算子运算和矩阵变换得到导数形式下的波动方程,基于Comsol Multiphysics提供的广义偏微分方程模式对变形后的波动方程进行求解,并把改进后的无限元边界应用到无限域动力问题的模拟中。通过与饱和多孔介质动力响应的解析解进行对比,验证模型求解技术的可行性和正确性,并在此基础上讨论饱和土地基中空沟隔振效果与饱和土体参数孔隙率、泊松比的关系。通过研究分析,可以为饱和土地基中空沟隔振设计提供一些有价值的参考。     

Prediction of free field vibrations due to pile driving using a dynamic soil–structure interaction formulation

This paper presents a numerical model for the prediction of free field vibrations due to vibratory and impact pile driving. As the focus is on the response in the far field where deformations are relatively small, a linear elastic constitutive behaviour is assumed for the soil. The free field vibrations are calculated by means of a coupled FE–BE model based on a subdomain formulation. First, the case of vibratory pile driving is considered, where the contributions of different types of waves are investigated for several penetration depths. In the near field, the soil response is dominated by a vertically polarized shear wave, whereas in the far field, body waves are importantly attenuated and Rayleigh waves dominate the ground vibration. Second, the case of impact pile driving is considered. A linear wave equation model is used to estimate the impact force during the driving process. Apart from the response of a homogeneous halfspace, it is also investigated how the soil stratification influences the ground vibration for the case of a soft layer on a stiffer halfspace. When the penetration depth is smaller than the layer thickness, the layered medium has no significant influence on ground vibrations. However, when the penetration depth is larger than the layer thickness, the influence of the layered medium becomes more significant. The computed ground vibrations are finally compared with field measurements reported in the literature.     

Torsional response of structures to obliquely incident seismic sh waves

A study is made of the torsional response of an elastic structure placed on a rigid circular foundation supported on an elastic half-space and subjected to the action of obliquely incident plane SH waves. The problem is solved by considering first the steady-state response of a massless rigid foundation excited externally by a harmonic torque and through the soil by an obliquely incident plane SH wave. In a second stage the coupling between the structure and the soil is considered to obtain the torsional response at the base and top of the superstructure. The results obtained indicate a range of conditions under which the torsional effects will be most pronounced.     

两相饱和介质半无限空间位错位移场

弹性位错理论是研究地震震源正演和反演的重要工具之一. 单相介质位错理论求得的地面变形场是稳定的、不变的，而实际地震后的地面变形场是变化的. 本文利用集中力作用下无限空间中两相饱和介质Green函数的柱函数表达式，通过弹性运动方程积分解的Helmholtz方程的Hansen矢量变换，再叠加自由表面影响场的方法求得两相饱和介质半无限空间位错位移场. 本文结果结合Nur的DD模式，在进水排水的假说下能解释地震后地面变形场的变化.     

Solution of a Green’s function for a saturated porous medium in a half-space subjected to a torsional force

Based on the solutions of the Green’s function for a saturated porous medium obtained by the authors,and using transformation of axisymmetric coordinates,Sommerfeld integrals and superposition of the influence field on a free surface,the authors have obtained displacement solutions of a saturated porous medium subjected to a torsional force in a half-space.The relationship curves of the displacement solutions and various parameters(permeability,frequency,etc.)under action of a unit of torque are also given in this paper.The results are consistent with previous Reissner’s solutions,where a two-phase medium decays to a single-phase medium.The solution is useful in solving relevant dynamic problems of a twophase saturated medium in engineering.     

Dynamic response of a tunnel buried in a saturated poroelastic soil layer to a moving point load

The dynamic response of a tunnel buried in a two-dimensional poroelastic soil layer subjected to a moving point load was investigated theoretically. The tunnel was simplified as an infinite long Euler–Bernoulli beam, which was placed parallel to the traction-free ground surface. The saturated layer was governed by Biot’s theory. Combined with the specified boundary conditions along the beam and saturated poroelastic layer, the coupled equations of the system were solved analytically in the frequency–wavenumber domain based on Fourier transform. The time domain responses were obtained by the fast inverse Fourier transform. The critical velocity of the considered structure was determined from the dispersion curves. The different dynamic characteristics of the elastic soil medium and the saturated poroelastic medium subjected to the underground moving load were investigated. It is concluded that, for coarse materials or fine materials subjected to the high-velocity loading, models ignoring the coupling effects between the pore fluid and the soil skeleton may cause errors. The shear modulus and the permeability coefficients of the saturated soil as well as the load moving velocity had significant influence on the displacement and pore pressure responses.