层状和竖向非均匀地基中水平-摇摆耦合激振波阻板三维隔振分析

为了研究水平-摇摆耦合激振作用下层状和竖向非均匀地基波阻板（简称WIB）的三维隔振效果,基于薄层法研究层状介质中波传播问题的高效性和边界元法处理无限域问题的精确性,建立了以薄层法基本解答为格林函数的半解析边界元法。分别对上软下硬和上硬下软层状和竖向非均匀地基中WIB的三维隔振效果进行了分析。研究表明,地基的分层参数和非均匀性对WIB的隔振效果有显著影响,上硬下软地基的隔振效果稍好于上软下硬的情况。     

空沟对列车运行引起的地基振动隔振效果研究

为研究空沟对高速列车引起地基振动的隔振效果,在已有研究基础上改进出一种新的解析研究模型。模型中首次运用了饱和半空间模型来研究地基上隔振沟对高速列车的隔振效果;隔振沟则通过在饱和半空间土体上设置3个合适宽度、截面为矩形的弹性层来模拟;中间矩形弹性层为路堤,路堤上方放置了枕木与轨道。枕木与轨道分别通过纵向异性Kirchhoff薄板与Euler梁来模拟,饱和土地基采用Biot多孔饱和介质理论来描述。控制方程通过傅立叶变换与傅立叶级数展开,在变换域中进行求解。研究表明,随着列车运行速度的提高,空沟的隔振效果明显提高;饱和土体固-液相的耦合作用对隔振沟的隔振效果的影响明显,尤其当列车运行速度超过土体表面Rayleigh波速时,随着土体渗透系数的增加,空沟隔振效果显著降低。此外,列车运行速度超过土体表面波速时,饱和土地基上空沟的隔振效果明显优于相应单相弹性地基上空沟的隔振效果。     

基于2.5维有限元饱和土地基中空沟隔振性能研究

基于Biot饱和多孔介质U-W格式动力控制方程,采用Galerkin法和Fourier变换,推导了饱和土体2.5维有限元方程及黏弹性人工边界,建立了饱和土地基中空沟分析模型,并在波数域中进行求解,通过快速Fourier变换（FFT）进行波数展开,获得三维空间域中结果。算例分析了移动荷载作用下均质饱和土地基、分层饱和土地基、上覆单相弹性层饱和土地基3种饱和土地基模型中空沟的隔振效果。结果表明：饱和土地基中空沟的隔振效果不仅与空沟自身深度有关,还与地基中成层土体的分界面以及土体参数有关,波在不同土体分界面上的透射和反射会影响空沟的隔振效果;饱和土地基中上覆单相弹性层厚度对空沟的隔振效果影响显著,随着上覆单相弹性层厚度的增加,饱和土地基中空沟的隔振效果变好。     

层状地基中瑞利波随深度的衰减特性

层状地基中瑞利波（Rayleigh wave）的传播规律以及随深度的衰减规律是工程环境微振动分析与控制研究的关键问题之一。采用解析法（矩阵传递法）分析了层状地基中瑞利波弥散曲线,并在此基础上研究了各种频率下不同类型土层（上软下硬、软夹层、硬夹层）中瑞利波位移随深度衰减规律,通过与弹性半空间解的对比发现,瑞利波位移随深度的衰减规律与频率、土层分布密切相关：频率越高,传播深度越浅;特殊土层（软夹层、硬夹层）的存在会局部显著地改变其衰减规律,并且位移峰值的分布受到频率和土层分布的共同影响。最后,将该方法用于分析上海光源工程地基条件下瑞利波随深度的衰减规律,并与现场深孔微振动测试数据进行了比较。结果证明,与弹性半空间解相比,层状地基中瑞利波随深度的衰减规律可以更为准确地反映真实条件下瑞利波随深度的衰减规律。     

水位变化对多空沟屏障远场隔振效果的影响研究

受季节性降雨的影响,雨季和旱季存在明显的水位波动。为分析地下水位升降对多空沟隔振效果的影响,建立了上覆单相弹性层饱和地基中空沟有限元分析模型。模型中考虑了沟中水的作用,算例分析了等沟深和不等沟深多沟屏障、沟壁倾斜多沟屏障和连续起伏地形屏障在不同水位下的远场隔振效果。计算结果与相应单相弹性地基进行对比,结果表明：土体渗透性低时,多数水位下不利于多沟屏障隔振;沟深为0.3LR（LR为R波波长）的三沟屏障通常可获得较理想的隔振效果（75%隔振率）,但屏障在隔振效果最差的共振水位(0.6LR)下,空沟须贯穿上覆干土层才可获得75%隔振率;递减沟深屏障可有效降低上覆土层共振的不利影响;沟深较浅时,沟壁倾角越大,多沟的隔振效果越好,但对较深多沟的影响小;连续起伏的地形景观可作为一种有效的绿色隔振屏障。     

层状饱和土体中排桩对简谐荷载隔振效果分析

根据Biot理论,利用已有的传递、透射矩阵法得到层状饱和土体内部受竖向圆形分布荷载作用下的基本解,再由Muki虚拟桩法,建立了频域内层状土-桩的第二类Fredholm积分方程。通过离散方法求解积分方程,得到了评价隔振效果的振幅比。与已知文献结果比较,验证了方法的正确性。数值结果表明：对于同种类型的振源,采用相同的隔振系统,在上软下硬的多层土体中的隔振效果比在上硬下软的土层中要好。采用较长的桩或刚度较大的桩,或桩之间的距离加密都可得到好的隔振效果。     

二维地基中空沟−波阻板联合隔振屏障分析

针对地基隔振控制,提出了一类新型的空沟?波阻板联合隔振屏障,并对其隔振性能进行了数值分析。首先,利用复伸展坐标变换,在频域内建立了完全匹配层（perfect matched layer, PML）吸收边界的控制方程;其次,利用Galerkin近似技术,给出了以位移为基本未知量的二阶非分裂格式PML的频域有限元计算列式;最后,通过数值算例分析了空沟?波阻板联合隔振屏障的物性参数（地基与波阻板的模量比）、几何参数（空沟深度、波阻板深度）以及载荷参数（振动波频率）等对其隔振性能的影响规律。结果表明,空沟?波阻板联合隔振屏障结合了空沟和波阻板各自的优势,可以有效地控制不同频率振源引起的地基振动。     

空沟对冲击荷载隔离的现场试验与数值模拟

在场地开挖了一条空沟,以落锤式弯沉仪（falling weight deflectometer,简写为FWD）的荷载模拟冲击荷载,通过FWD自带的传感器测得空沟后一定范围内的竖向位移。通过室内试验,获取试验场地的岩土参数,采用非线性动力有限元软件ABAQUS建立二维模型（将远处单元定义为无限单元来模拟吸收边界,从而避免振动波的来回反射）。以空沟中心线的现场测试数据为依据,校核有限元模型。通过分析不同工况模拟的竖向位移,研究得出空沟-荷载间距、沟深、沟宽等对隔振效果的影响。结果表明,(1) 空沟-荷载间距越小,隔振效果越好,但实际隔振工程中,为避免振动对空沟侧壁的稳定性的影响,空沟与振源不宜太近,因此可以不计空沟-荷载间距对隔振效果的影响;(2) 就提高隔振效果而言,增大沟深比增大沟宽更有效,而相同的隔振效果,窄-深沟的挖方量远小于宽-浅沟;(3) 在对冲击荷载进行隔振设计时,对于一般的民用和工业建筑,综合隔振效果、开挖和支护费用等因素,采用宽度为0.5～1.0 m,深度为2.0～2.5 m的空沟较为合理,与某工程实例进行比对,验证结论的合理性。     

二维饱和地基中空沟主动隔振分析

根据饱和土Biot理论,在频域内提出了一种适用于弹性波波动问题的有限元-无限元解法,其中有限单元用于近场介质的模拟,而形函数基于一维解析解答的无限单元则被用于人工边界,它可反映波传递到无限远处的特性;应用该法计算算例,以证明其有效性与正确性。在此基础上,对饱和地基中空沟主动隔振效果进行了详细的数值分析,结果表明,空沟深度是影响隔振效果的主要因素,一般沟深越大,隔振效果越好;当沟深一定时,空沟到振源的距离不宜超过1.5倍饱和土剪切波长;空沟的宽度对隔振效果的影响相对较小。     

郑西高铁地面振动实测分析及隔振沟效果研究

高铁列车动载会引起环境振动问题。为研究高速列车运行在高架段和路堤段引起的环境振动差异,文章对郑西线高速铁路展开现场测试,对比分析高架段和路堤段地面振动特征及其衰减规律。测试结果表明,路基段的振动响应大于高架段,高架段近场区衰减作用高于路堤段近场区域。振动传播过程中存在多次反弹增大现象,路堤段地面振动反弹增大位置滞后于高架段。高架段和路堤段的二次反弹增大率均明显大于一次反弹增大率。Z振级随距离的衰减符合对数衰减规律,拟合得到黄土地区Z振级衰减公式,最大偏差均出现在反弹增大区。引入无限元-黏弹性耦合边界条件,建立路堤段三维轨道-土体-隔振沟数值模型分析高速铁路隔振沟对减隔振的影响。研究发现空沟对中高频（30～60 Hz）振动波的隔振效果较低频（1～20 Hz）振动波明显,其具有低通滤波作用。空沟比填充沟隔振效果好,但是考虑到沟壁的稳定性,可在空沟中填入软质材料。研究成果可为高速铁路的设计及其环境振动的评价和控制提供参考。     

Vibration screening by trench barriers,a review

This paper provides a review of various investigations concerned with vibration isolation using trench barriers and factors affecting their performance, also extracts design recommendations, because there is no exact conclusion of researches in this field. Vibrations induced by different sources can be seriously harmful to structures and occupants. Geometrical parameters, soil characteristics, and filling material properties can affect a barrier’s performance. Investigators have applied analytical approach, finite element, boundary element, experimental, and field studies to identify relevant factors. Various geometrical parameters affecting trench’s isolation level were examined, among which depth of trench was found to be the most important, but in most cases, the width of the trench and source-barrier distance have a low effect. Shear-wave velocity ratio of filling material and surrounding soil has the most significant role of all material properties. Using high-energy-absorbing materials can lead to better isolation. The majority of studies consider soil and filling material’s behavior to be elastic, so changes in loading amplitude have no effect on vibration reduction. Finally, among special cases in vibration isolation by trenches, non-rectangular and multiple ones found to be economically satisfying and well-isolating barriers.     

Simulation of a corner slurry trench failure in clay

Some analytical methods have been proposed for the computation of the stability of plane open trenches supported by bentonite slurry. Nevertheless, there is no validated analytical method for the case of non-plane trenches which are required as stiff watertight corners in excavation pits. Simplified approaches replace the geometry of the corner (non-plane) trench by an equivalent plane trench. In this work it is shown, that some of these approaches are not adequate, as they oversimplify the geometry of the sliding body in the limit state and may overestimate the factor of safety against failure. Using a 3D finite element model it was possible to identify the geometry of the sliding body by simulating the stepwise excavation process of a corner trench in normal consolidated clay and its failure due to the reduction of bentonite support. The influence of the geometry of the trench, drainage conditions, material properties and anisotropy of the soil has been considered. In contrast to the simplified sliding body with the shape of a wedge on which analytical methods are based, the sliding body observed in the simulations has the shape of a quarter of a vertical cylinder, intersected by an inclined plane at its bottom.     

精细积分法在地基震动响应分析中的应用

精细积分法是求解结构动力响应问题的一种高精度算法,将其应用于地基震动响应问题的求解。在不影响算法精度的前提下,采用节省存储量的矩阵向量乘法和精细积分级数解,降低了精细积分法的存储需求。开发了地基震动响应分析程序,并对一重大工程的建筑地基进行了震动响应分析,通过与著名有限元分析软件Nastran的计算结果进行对比,证明前述方法和程序是正确的。     

桩基础对邻近场地冲击荷载的响应分析

桩基础对邻近场地作用冲击荷载的响应本质上是桩-土组成的体系在冲击荷载下的整体动力相互作用问题。为了研究该问题,采用有限元法模拟冲击荷载引起桩基础的振动。利用通用有限元分析软件ABAQUS建立了有限元-无限元（FE-IFE）耦合分析模型,分析了冲击荷载作用时桩基础动力响应的规律,并对影响桩基础响应的因素进行了探讨。计算结果表明,桩的振动程度取决于冲击荷载作用间距和冲击荷载能量,而冲击荷载作用间距越远,桩的振动波长越长。     

Determining Rayleigh damping parameters of soils for finite element analysis

Soil damping ratio is an important parameter for modelling the dynamic behaviour of soil embankment structures, especially for the micro‐vibration analysis of hospitals and high‐tech industries, which have a very severe construction requirement for vibration. This paper explores using a least‐squares method to evaluate the Rayleigh damping parameters for the finite element analysis of wave propagation in soils. The least‐squares method was first used in Bornitz's equation to calculate the absorption coefficients of soils. Afterward, the best‐fit Rayleigh damping parameters were obtained using those coefficients in the least‐squares scheme again. Both three‐dimensional finite element analyses and field experiments were performed to validate the accuracy of this method. The comparison between experimental and finite element results demonstrates that the accuracy of this least‐squares method is acceptable. Copyright © 2007 John Wiley & Sons, Ltd.     

强夯加固机理及其环境影响的数值分析

采用大变形几何非线性有限元法分析强夯加固机理及其振动对环境影响。在强夯计算模型中,引入P波阻尼和S波阻尼的概念来说明土体的材料阻尼特性,同时运用改进人工边界法来模拟波在人工边界上的传播。采用速度和加速度作为强夯振动对环境影响的评价标准,得出强夯的最小安全距离。隔振沟是一种有效的隔振方法,分析了隔振沟隔振效果的各种影响因素,对实际工程具有一定的参考价值。     

Effect of compressible parameters on vertical vibration of an elastic pile in multilayered poroelastic media

This paper mainly investigates the influences of compressible parameters on the vertical vibration of a pile embedded in layered poroelastic soil media. The pile is treated as a 1D elastic bar by the finite element method, and fundamental solutions for the layered poroelastic soils due to a vertical dynamic load are obtained by the analytical layer element method. Based on the compatibility conditions, the pile-soil dynamic interaction problem is solved. The numerical scheme has been compiled into a Fortran program for numerical calculation. Influences of the pile-soil stiffness ratio, compressible parameters, vibration frequency and the soil stratification are discussed.