层状地基分界面对于空沟隔振效果的影响分析

为研究层状地基的分界面对于空沟隔振效果的影响,采用模型试验,选取三种不同深度的空沟,分别为小于分界面深度和等于分界面深度以及超过分界面深度的三种深度,分析在改变空沟宽度、空沟位置(固定振源即传感器位置,仅改变空沟所处位置)以及激振频率时对三种深度空沟隔振效果的影响。结果表明:当宽度和激振频率发生改变时,深度等于土层分界面处深度的空沟隔振效果变化最不明显;当宽度和空沟位置发生改变时,沟深小于分界面深度的空沟受到的影响最为明显;在激振频率的改变下时,沟深大于土层分界面深度的空沟所受影响最大;当固定其余参数,逐渐增加空沟深度时,深度在变化到分界面处时会有Ar值发生增加现象,该现象受到激振频率影响,激振频率越低,则上升幅度越大,低频的上升区间也最长,即Ar值从出现上升趋势至恢复减小趋势的距离为上升区间。综上结论,在选择隔振沟时应注重上述因素的影响,合理设计隔振沟,使其达到最佳隔振效果。     

轨道交通连续型隔振屏障隔振效果有限元分析

为评价轨道交通连续型隔振屏障的隔振效果,通过Abaqus有限元数值方法,对空沟、填充沟等连续型屏障的隔振效果及其影响因素进行分析。结果表明：隔振屏障前侧振动加强,屏障后侧存在较好地隔振效果,屏障参数的变化对屏障前振动加强效果的影响较小,部分屏障参数的变化对屏障后侧隔振效果存在影响;屏障的隔振性能随屏障深度的增大而增强,受屏障宽度的影响较小;橡胶板墙隔振性能较差,空沟和混凝土板墙的隔振性能较强,空沟的隔振效果强于混凝土板墙;屏障距离路基越近隔振效果越好,建议工程上应用屏障隔振时,屏障靠近路基设置。     

Analysis and design of open trench barriers in screening steady-state surface vibrations

The problem of vibration isolation by rectangular open trenches in a plane strain context is numerically studied using a finite element code, PLAXIS. The soil media is assumed to be linear elastic, isotropic, and homogeneous subjected to a vertical harmonic load producing steady-state vibration. The present model is validated by comparing it with previously published works. The key geometrical features of a trench, i.e., its depth, width, and distance from the source of excitation, are normalized with respect to the Rayleigh wavelength. The attenuation of vertical and horizontal components of vibration is studied for various trench dimensions against trench locations varied from an active to a passive case. Results are depicted in non-dimensional forms and conclusions are drawn regarding the effects of geometrical parameters in attenuating vertical and horizontal vibration components. The screening efficiency is primarily governed by the normalized depth of the barrier. The effect of width has little significance except in some specific cases. Simplified regression models are developed to estimate average amplitude reduction factors. The models applicable to vertical vibration cases are found to be in excellent agreement with previously published results.     

双排隔振屏障对振动波的阻隔作用及动力响应分析

本文采用模拟试验的方法,对分层土地基中双排隔振屏障对振动波的动力响应进行了探讨,并研究了桩长与土层分界面位置关系、激振频率对其隔振效果的影响作用,得出结论:（1）屏障前振动强度远大于屏障后振动强度,并随着振源距、激振频率、桩长的增加而下降,且屏障前出现明显振动增强现象,在激振频率80 Hz时产生振动峰值,振动强度在高频时基本稳定,继续增加激振频率,振动强度并不会发生明显变化。（2）屏障后中线左右2倍桩长范围内为整个隔振区域的薄弱区,其他区域则由包络线围成一个封闭有效隔振区。（3）屏障对中频和高频有更好的隔振效果,且桩长越大有效隔振面积越大,当桩长超过土层分界面时,有效隔振面积可达到53.25%～69.78%,但此时有效隔振面积增幅由原来的14.29%下降到11.64%,增幅降低了约3%。（4）未设屏障区振动强度较小,随激振频率小范围内浮动,在激振频率为30 Hz和80 Hz时取得振动峰值,且随着屏障布置方向减小,即靠近屏障一侧振动强度较强,远离屏障一侧振动强度较弱。     

Numerical study on screening of surface waves using a pair of softer backfilled trenches

Vibration screening effectiveness of a pair of in-filled trenches is numerically studied under conditions of plane strain using PLAXIS 2D in a linear elastic, isotropic, and homogeneous half-space acted upon by a steady-state vertical excitation. Barrier efficiency is analyzed in terms of reduction of vertical and horizontal vibration components with respect to the variations in barrier geometry and in-fill material parameters. The geometric features are normalized with respect to Rayleigh wavelength of vibration in soil. The in-fill trench material is considered to be softer and accordingly assigned lower shear wave velocities than the half-space. Non-dimensional design charts are developed and the key parameters participating in wave screening process are identified. Some recommendations are made regarding the optimal selection of these parameters. Comparison with a few published results shows close agreement. Such an isolation scheme may be advantageous in circumstances where a single trench requires unrealistic depth.     

双线地铁运营隔振沟屏障性能研究

为研究双线地铁运营时隔振沟的减振效果,基于2.5维有限元法建立双线地铁列车-轨道-地基土体耦合分析模型。模型克服现有研究将轨道结构简化为弹性地基欧拉梁的缺陷,引入实际钢轨动力学参数,实现双线地铁列车荷载下隔振沟对周围地基的隔振效果分析,比较空沟、填充沟两种不同隔振措施的减振特性,并对填充沟隔振影响因素进行系统的参数分析。研究结果表明:双线运营地铁荷载下,空沟隔振作用体现在沟后范围内,填充沟减振范围更广且效果更好,相比空沟更具工程实用性;填充沟在沟深较小时也能发挥良好的减振作用,增大沟深、沟宽均可有效提高减振效果。研究成果可为今后双线地铁隔振设计与施工提供有益参考。     

连续型隔振屏障在高速铁路环境振动问题治理中的应用研究

为探究高速铁路两侧隔振屏障隔振效果，采用有限元与无限元边界结合的方式进行分析，研究不同连续型隔振屏障及布置形式对隔振效果的影响。通过现场试验与同尺寸、同属性有限元模型对比试验，验证有限元模型合理性。计算结果表明:不同连续型隔振屏障中，空沟隔振效果最优，空沟隔振措施适合高速列车隔振；隔振屏障宽度为0.6～2.5倍波长时，其对隔振效果的影响较小，随着宽度的改变，隔振效果变化幅度较小；隔振屏障深度为3.8～15.2倍波长时，其对隔振效果的影响较明显，随着深度的增加，隔振效果增强；屏障位置对隔振效果的影响较大，建议屏障应靠近路基布置；连续型隔振屏障对高频的隔振效果优于低频。     

空沟、碎石填充沟和排桩隔振效果试验研究

高速铁路、地铁、轻轨等轨道交通迅速发展深入城市内部人群密集地区,对环境产生的振动影响不容忽视。空沟、碎石填充沟和排桩是三种常用的轨道交通隔振措施。通过大比例尺试验,采用加速度作为振动的评价指标,分别研究空沟、碎石填充沟和排桩的隔振效果。各组试验除隔振措施外其他条件均完全相同,使不同隔振措施的隔振效果具有较强的可比性,通过比较三种隔振措施与无隔振措施下影响区的加速度衰减率,评价其隔振效果,同时通过三种隔振措施下距离振源不同位置处的加速度比较其隔振效果。研究成果可为轨道交通隔振措施及方案的选取提供依据。     

Vibration isolation by trenches in continuously nonhomogeneous soil by the BEM

Vibration isolation of structures from ground-transmitted waves by open trenches in isotropic, linearly elastic or viscoelastic soil with a shear modulus varying continuously with depth is numerically studied. Both an exponential and a linear shear modulus variation with depth are used in this work. Waves produced by the harmonic motion of a rigid surface machine foundation are considered. The problem is solved by the frequency domain boundary element method employing the Green's function of Kausel-Peek-Hull for a thin layered half-space. Thus only the trench perimeter and the soil-foundation interface need essentially to be discretized. The proposed methodology is first tested for accuracy by solving two Rayleigh wave propagation problems in nonhomogeneous soil with known analytical solutions and/or for which experimental results are available. Then the method is applied to vibration isolation problems and the effect of the inhomogeneity on the wave screening effectiveness of trenches is studied.     

应用屏障进行被动隔振的研究综述

人工振动作为一种新形式的环境污染,被列为世界七大环境公害之一。各种形式的人工振动都涉及弹性波的产生和传播,在既有振源与保护区之间设立屏障来切断弹性波的传播路径,衰减振动能量,降低振动幅度,是目前国际上普通采用的隔振措施。屏障按几何构造可分为两类:连续屏障和非连续屏障。对国内外两类屏障的隔振理论和试验研究进行简述,得出的结论为:(1)连续屏障隔振效果好,但对于低频振源,屏障的深度需达到十几米以上(近似于R波的半波长),在软土和高地下水位地区的工程造价非常高,施工难度也非常大;(2)非连续屏障施工方便,不受深度和场地的限制,不需要进行额外的支护和维护,多排非连续屏障具有更广泛的应用前景。今后应注重和加强多排非连续屏障隔振的三维理论分析和吸振新材料的试验研究。     

某高精密设备平台基础隔振措施分析

结合某高精密设备平台基础隔振实际工程,基于UPFs(User Programmable Features)二次开发特点,提出考虑基础-地基-基础动力相互作用计算基础隔振分析的三维有限元方法。该方法首先将动力机器、周围地基以及高精密设备平台基础作为完整的研究对象,通过引入三维紧支黏弹性边界单元模拟半无限地基辐射阻尼效应和远场介质的弹性恢复性能,并在通用有限元软件ANSYS中实现。进而基于最小二乘方法回归分析得到振动衰减关系曲线,通过其与数值分析结果的对比验证计算模型的合理性。最后针对此工程场地条件建立隔振沟减振隔振措施的有限元模型,并对隔振沟影响因素的减振效果进行分析。计算结果表明,隔振沟的位置、深度以及长度是实际工程中需要考虑的重要因素,对其进行合理的选取可获得较好的隔振效果。     

Reduction of ground vibration by means of barriers or soil improvement along a railway track

Trains running in built-up areas are a source to ground-borne noise. A careful design of the track may be one way of minimizing the vibrations in the surroundings. For example, open or infilled trenches may be constructed along the track, or the soil underneath the track may be improved. In this work, the influence of the track design and properties on the level of ground vibration due to a vehicle moving with subsonic speed is examined. A coupled finite element-boundary element model of the track and subsoil is employed, adopting a formulation in the moving frame of reference following the vehicle. The computations are carried out in the frequency domain for various combinations of the vehicle speed and the excitation frequency. The analyses indicate that open trenches are more efficient than infilled trenches or soil stiffening–even at low frequencies. However, the direction of the load is of paramount importance. For example, the response outside a shallow open trench may change dramatically when horizontal load is applied instead of vertical load.     

An experimental study of the isolation performance of trenches on ground-borne vibration from underground tunnels

This paper presents a study of the isolation performance of trenches on train-induced ground-bore vibration from underground tunnels. A series of model tests was conducted to perform the study. Both train loads and sinusoidal sweep loads were applied to the model tunnel invert by a shaker. The response of the soil at the surface of the ground was measured by accelerometers. Three types of isolation trenches, i.e., an open trench, an expanded Polystyrene(EPS)-filled trench, and a Duxseal-filled trench, were modelled in the experiment. The results showed that the open trench and the EPS-filled trench increased the dynamic response of the surface soil in front of the trench, but the Duxseal-filled trench had little effect on the dynamic response of the soil on the surface in this area. Although all three types of isolation trenches reduced the response of the soil behind the trench, the open trench and the Duxseal-filled trench were clearly more effective. The test results also showed that, as the excitation frequency increased, the vibration isolation trench was more effective in the near field. The effects of the width, depth, and position of an open trench on isolation performance also were examined in the tests.     

单级弹簧主动隔振系统建模与分析

主动隔振系统具有隔振频带宽,能够在低频处取得较好隔振效果的优点,因而成为研究的热点。基于单级弹簧主动隔振系统建立数学模型,着重分析了系统位移反馈、速度反馈和加速度反馈3种反馈量对系统隔振性能的影响。结果表明:位移反馈使系统固有角频率提高,低频处隔振效果增强,而高频处隔振效果略有降低;速度反馈使系统在固有角频率附近的隔振效果有很好的改善,但是在其他频段的隔振效果基本没有变化;加速度反馈使得系统固有角频率减小,并且在高频段的隔振效果增加。这对主动隔振系统控制器的设计具有实际指导意义。     

Focal depth,magnitude, and frequency distribution of earthquakes along oceanic trenches

The occurrence of earthquakes in oceanic trenches can pose a tsunami threat to lives and properties in active seismic zones. Therefore, the knowledge of focal depth, magnitude, and time distribution of earthquakes along the trenches is needed to investigate the future occurrence of earthquakes in the zones. The oceanic trenches studied, were located from the seismicity map on: latitude +51° to +53°and longitude-160° to 176°(Aleutian Trench), latitude+40° to +53° and longitude +148° to +165°(Japan Trench), and latitude-75° to-64° and longitude –15° to+30°(Peru–Chile Trench). The following features of seismic events were considered: magnitude distribution, focal depth distribution, and time distribution of earthquake. The results obtained in each trench revealed that the earthquakes increased with time in all the regions. This implies that the lithospheric layer is becoming more unstable. Thus, tectonic stress accumulation is increasing with time. The rate of increase in earthquakes at the Peru–Chile Trench is higher than that of the Japan Trench and the Aleutian Trench. This implies that the convergence of lithospheric plates is higher in the Peru–Chile Trench. Deep earthquakes were observed across all the trenches. The shallow earthquakes were more prominent than intermediate and deep earthquakes in all thetrenches. The seismic events in the trenches are mostly of magnitude range 3.0–4.9. This magnitude range may indicate the genesis of mild to moderate tsunamis in the trench zone in near future once sufficient slip would occur with displacement of water column.     

Field experiments on wave propagation and vibration isolation by using wave barriers

In this paper, the obtained results from the experimental studies describe the basic characteristics of wave propagation and ability of possible measures to reduce the impact of soil vibrations on structural response for both active and passive isolation cases. A series of field tests on the foundation vibrations generated by electrodynamic shaker are performed to examine the screening efficiency of open and in-filled trench barriers which are constructed for full-scale measurement. From field measurements of amplitude with and without the barrier, the amplitude reduction ratio is estimated at different points of interest. Wave propagating characteristics and frequency-dependent screening effects of the wave barriers are investigated according to various isolation material stiffnesses. The remarkable outcomes from these experimental studies can be briefly generalized as follows: backfilled trench with softer material than soil is more effective for the passive isolation than the active one. The reduction effects of wave barriers depend on the frequency of vibration source for both passive and active isolation cases. In-situ measurements confirm that vibration screening systems using open or in-filled trench barriers can be applied as a reduction measure for soil vibrations due to a moving load which is considered as stationary wave source in this problem.     

轨道交通荷载下桩板结构主动隔振效果研究

为了研究在轨道交通荷载作用下桩板结构主动隔振措施的隔振效果,通过无限元边界与有限元边界相结合的有限元分析方法在路基中建立桩板结构模型,并在沙土地基中设置混凝土桩板结构进行模型试验,通过模型试验对有限元数值模拟结果加以验证,将桩长、埋深及置换率3个因素考虑在内,研究其对隔振效果的影响。结果表明:模型试验验证有限元计算方法的可靠性;随桩长增加振幅降低比减小,隔振效果明显,随着振源距离增加其振幅降低比减小明显;埋深为桩板结构主动隔振措施中的主要影响因素,随着埋深增加振幅降低比明显减小,隔振效果越明显;有限元计算过程中置换率对隔振效果的影响不明显,但是在模型试验中置换率对隔振效果影响较显著。     

均质及双层地基土条件下环形沟隔振效果分析

为了探究均质地基和双层土地基条件下环形沟几何参数变化对其隔振区域的影响规律,及环形沟在不同地基土层中隔振效果的差异,本文建立缩尺比为1: 15的模型试验,以地基土类型、环形沟深度、宽度及圆心角为研究变量,通过开展具体试验进行探究。结果表明:在均质地基和双层土地基环形沟隔振中,环形沟宽度变化对其隔振效果影响较小,环形沟深度及圆心角是影响其隔振效果的重要参数,且深度和圆心角越大,隔振效果越好,但当地基土为成层土地基,环形沟深在临近土层分界面深度增大时,环形沟隔振效果相对减弱;在均质地基和双层土地基中,相同参数条件下,均质地基土较双层地基土具有更好的隔振特性;振源与环形沟之间及环形沟末端位置区域由于振动波的传播特性存在振动增强区域。     

地铁列车荷载作用下Duxseal-WIB隔振性能数值分析

城市轨道交通快速便捷的同时,地铁运行产生的环境振动问题也日益突出。Duxseal作为一种工业填料,具有良好的阻尼性能并能吸收振动反射能,将其运用到地铁隔振中,提出一种带孔波阻板填充Duxseal(DXWIB)的隔振方法。通过建立三维ABAQUS有限元模型,对比分析波阻板(WIB)、蜂窝状波阻板(HWIB)和DXWIB的隔振效果,讨论DXWIB埋置深度及厚度对隔振效果的影响,并分析基床表层和地面的振动规律。计算结果表明:DXWIB的隔振效果最优,而WIB与HWIB的隔振效果相近;DXWIB在埋深0.5 m厚度0.8 m时隔振效果最佳;基床表层的振动规律表现为由振源向两侧横向传播中,加速度整体呈衰减趋势,而在地面传播过程中,加速度峰值呈先增大后减小再增大的趋势,在距轨道中轴线20 m和50 m处出现局部放大效应。     

Effects of open trench siding on vibration-screening effectiveness using the two-dimensional boundary element method

The two-dimensional boundary element method in frequency domain is used to investigate the screening effectiveness of the open trench–wall barrier system on reducing vibration generated by a footing. Sheet piles or diaphragm walls are on both sides of the open trench as a vibration barrier in this study. The results showed that screening effectiveness of the open trench without siding is greater than that of the open trench–wall barrier system, which is essential for stabilizing the excavation surface in practice. The trench depth of the barrier system appears to govern the screening efficiency of the barrier, and increase in depth results in better vibration-screening effectiveness. The influence of the open trench width, the embedded length of the trench wall and the distance between the vibration source and the barrier are proven to be insignificant. The screening effectiveness of an open trench barrier with walls increases with the frequency of the vibration.