Comparison of near-fault and far-fault ground motion effects on geometrically nonlinear earthquake behavior of suspension bridges

This paper presents a comparison of near-fault and far-fault ground motion effects on geometrically nonlinear earthquake behavior of suspension bridges. Bo?azi?i (The First Bosporus) and Fatih Sultan Mehmet (Second Bosporus) suspension bridges built in Istanbul, Turkey, are selected as numerical examples. Both bridges have almost the same span. While Bo?azi?i Suspension Bridge has inclined hangers, Fatih Sultan Mehmet Suspension Bridge has vertical hangers. Geometric nonlinearity including P-delta effects from self-weight of the bridges is taken into account in the determination of the dynamic behavior of the suspension bridges for near-fault and far-fault ground motions. Near-fault and far-fault strong ground motion records, which have approximately identical peak ground accelerations, of 1999 Chi-Chi, 1999 Kocaeli, and 1979 Imperial Valley earthquakes are selected for the analyses. Displacements and internal forces of the bridges are determined using the finite element method including geometric nonlinearity. The displacements and internal forces obtained from the dynamic analyses of suspension bridges subjected to each fault effect are compared with each other. It is clearly seen that near-fault ground motions are more effective than far-fault ground motion on the displacements and internal forces such as bending moment, shear force and axial forces of the suspension bridges.     

A detailed investigation of block dynamic sliding by the discontinuous deformation analysis

An extensive examination of the discontinuous deformation analysis (DDA) in block dynamic sliding modeling is carried out in this paper. Theoretical solutions for a single block sliding on an arbitrarily inclined plane by applying the horizontal/vertical seismic loadings to the sliding block as acceleration time histories or to the base as constraint displacement time histories are derived. As compared with the theoretical solutions, for a single block sliding, the DDA predicts the sliding displacements and block interaction forces accurately under various base incline angles and friction angles under both the harmonic loadings and a real seismic loading. The vertical seismic component may influence the block sliding displacements to different extent, and the DDA can capture these phenomena successfully and give accurate results. For the calculation of the single block relative sliding, both the theoretical and the DDA solutions indicate that applying the seismic accelerations as constraint displacement time histories (derived by integrating the seismic accelerations twice) to the base is equivalent to applying the seismic accelerations as volume forces to the sliding block in the opposite directions. The DDA modeling also demonstrates that this conclusion still stands for the case of multi‐block sliding. Copyright © 2012 John Wiley & Sons, Ltd.     

GPS monitoring of vertical ground motion in northern Ardenne–Eifel: five campaigns (1999–2003) of the HARD project

We present the HARD project of GPS monitoring of vertical ground motion in NE Ardenne and Eifel (western Europe). Its main purposes are to get a better insight into the present-day rates of vertical ground motion in intraplate settings and to identify the various causes of these motions. Since 1999, we have carried out yearly campaigns of simultaneous GPS measurements at 12 sites situated so as to sample the different tectonic subunits of the study area and especially to record potential displacements across the seismogenic Hockai fault zone. Five campaigns (1999–2003) have been processed currently. Key issues of the data processing with the Gamit software are discussed and first results are presented. Though temporally consistent in many cases, the obtained vertical motion rates are spatially highly variable. They are also much too high (several mm/year) to support a tectonic interpretation, and a long-term influence of groundwater level variations is proposed to account for the observed motions. This influence should be distinguished from seasonal variations and from inter-survey variations linked to the varying degree of soil and subsoil drying off during the successive spring surveys.     

A simplified approach for studying the influence of vertical accelerations on seismic response of slopes

ABSTRACT

A simplified approach is presented for estimating permanent displacements in slopes as a result of both vertical and horizontal seismic accelerations. A study of 52 earthquake records showed that the time difference between maximum horizontal and vertical accelerations varied between 0 and 10.3 s. The approach is illustrated for an earth dam embankment by analysing the effects of five of the above earthquake records. The approach combines a pseudo-static slope stability analysis for estimation of the critical (or yield) horizontal-vertical acceleration combinations, and a Newmark type displacement analysis. Guidelines are presented for conservative choice of soil strength parameters of saturated clays for use in the stability analysis. While permanent displacements of up to 40 cm were predicted without considering the vertical acceleration component, no additional displacement above 3.5 cm resulted when this component was included. The predicted additional displacement was consistently less than 10%, and in 50% of the analyses, vertical acceleration led to smaller predicted displacements. The simple approach may be applied in analysis for any slope using real earthquake records. Using existing, empirical expressions for permanent displacement, based only on horizontal accelerations, the effect of the vertical accelerations may be conservatively estimated by increasing the displacement by 10%.     

Consolidation of sensitive clay with vertical drain

The coefficient of consolidation is one of the most important parameters that control the rate of consolidation. Conventional consolidation theories assume that the coefficient of consolidation is constant during the whole consolidation process. In the case of sensitive clay, the coefficient of consolidation is strongly dependent on the level of effective stress of clay. With the dissipation of pore water pressure and the increase of effective stress, the soil structure of the upper subsoil is gradually destroyed downwards and its coefficient of consolidation becomes smaller. At the same time, the coefficient of permeability of the vertical drains drops down because of the kinking or bending effect. The destructured upper subsoil and the kinking of the vertical drain hinder the dissipation of the pore pressure in the lower subsoil. This paper presents a model to describe the above important phenomena during the consolidation of sensitive clay with vertical drain. The solution for proposed model can be obtained by extending the closed‐form solution of the consolidation of double‐layered ground with vertical drain by the interactive method introducing the concept of the moving boundary and the reduction of discharge capacity of vertical drain. The numerical results obtained from the finite element method package PLAXIS (Ver. 7.2) are adopted to compare those obtained from the present algorithm. Moreover, the rationality of the moving boundary is explained by the distributions of the excess pore water pressure in natural soil zone along the radial direction. Wenzhou airport project is taken as a case study in this paper. The results for the sensitive soil with decaying sand drain agree very well with the in situ measured data. The calculated results can properly explain two general phenomena observed in the consolidation of soft sensitive soil ground with vertical drains: one is that the time to achieve the same consolidation degree is much longer under heavy loading than that under light loading; the other is that the consolidation speed is much slower in the lower subsoil than in the upper subsoil. Finally, it is indicated that the vertical drains can decrease the hindrance effect of the destructured subsoil. Copyright © 2007 John Wiley & Sons, Ltd.     

地下商场结构对地面运动影响的振动台试验研究

为了研究地下空间结构对场地地震反应的影响，以一个三层地下商场结构为原型，设计并开展了土?地下空间结构动力相互作用振动台模型试验，研究了在6条不同卓越频率输入地震波在不同峰值加速度下场地地震反应的变化规律。试验研究结果表明：（1）地表水平加速度放大系数以结构中轴线为对称轴呈对称分布，地下结构显著影响上方及邻近场地的地表水平加速度。同时，由于地下空间结构的局部场地效应影响，即使在水平地震输入下也将导致场地产生竖向振动，地表竖直加速度放大系数呈M形分布。地下空间结构的影响范围可达到其两侧各一倍宽度距离。（2）地表加速度放大系数受输入地震波卓越频率的影响明显，且随着输入地震波的峰值加速度（PGA）的增大而降低，但空间放大系数随着PGA的增大而增大。（3）地表加速度Fourier谱的峰值频率受输入地震波的卓越频率、场地水平方向的固有频率和竖向固有频率的综合影响。     

基坑开挖对下方既有盾构隧道影响的实测与分析

对基坑开挖影响下方既有盾构隧道的机制进行了理论分析。收集了14个国内基坑工程实例,对实测数据进行了统计分析,结果表明：盾构隧道的最大竖向位移均为隆起,且有64%的隧道隆起值超过报警值(10 mm),提出了隧道最大隆起值的经验预测公式;隧道水平向位移较少量测,实测值较小;收敛变形由“水平向拉伸、竖向压缩”向“水平向压缩、竖向拉伸”转变。基于杭州市延安路某地下过街通道工程,研究了基坑开挖对下方地铁1号线盾构隧道变形的影响,对隧道竖向位移、水平向位移以及水平向收敛的实测数据进行了分析,其结果验证了理论分析和计算公式的可靠性。     

倾斜土层地震液化诱发大变形数值分析方法

基于有限元理论,进行了缓坡土层地震液化引起大变形的数值方法研究,即采用二维有效应力动力有限元方法进行分析,在液化分析过程的每一时段考虑地震液化和振动软化得到土单元的模量,通过非线性静力方法计算每时段地震液化引起的大变形,得到土层各深度处的水平和竖向位移。由算例分析了地震动和土层坡度等因素的影响,通过对比分析表明了该方法的有效性,可为工程场地地震地质灾害评价提供参考数据。     

极震区的地震动与潜在震源区内重大工程安全

潜在震源区是未来可能发生破坏性地震的震源所在地区 ,区内的地震属近场或直下型 ,其地震破坏和地震动特征相应于已发生地震的极震区。近期国内外诸多强烈地震的实际资料和相关研究成果表明 ,直下型地震不仅地震峰值加速度大 ,且竖向和水平峰值加速度比值也有别于远场地震的统计关系。文中从极震区岩土体破坏、地震动特点及地震地质灾害等方面对潜在震源区内的重大工程问题进行了探讨     

Influence of strong motion characteristics on permanent displacement of slopes

Landslides triggered by moderate to major earthquakes are a recognized seismic hazard. Arias Intensity (I _a) is a key intensity measure of the ground motion, but significant duration is widely used to define strong motion duration. We calculate Newmark’s displacements using earthquake records bracketing a broad range of Arias Intensity and significant duration employing Newmark’s rigid block method and a number of yield accelerations. Total landslide displacement increases with the increase in the energy content of the ground motion (I _a) above a threshold. Such threshold may be expressed as a function of yield acceleration of the slope regardless of the ground motion characteristics. Newmark displacement decreases with increasing duration for earthquakes with similar energy content. The wide scatter in the results converges when using formal dimensional analysis. Self-similar symmetry may facilitate the assessment of the performance of slopes during earthquakes. The mathematical framework for probabilistic determination of landslides displacement may be a useful aid to estimate the likelihood of landslide hazards provided that the geotechnical properties of the slopes are known.     

Seismic landslide simulations in discontinuous deformation analysis

Discontinuous deformation analysis (DDA) is a numerical approach used to simulate the post-failure behavior of a blocky assembly. Three available algorithms incorporate seismic impacts into DDA simulations for earthquake-induced slope failure. The following methods are used: directly applying time-dependent accelerations to falling/sliding blocks (Method 1); adding time-dependent accelerations to base block (Method 2); and time-dependently constraining seismic displacements of the base block (Method 3). However, incorrect absolute movements of falling/sliding and base blocks were obtained using Method 1. Additionally, relative movements between falling/sliding blocks and the base block are opposite to those simulated by the other two algorithms—Methods 2 and 3. Since locating an earthquake-induced landslide before an earthquake is extremely difficult, the seismic movements of base rock are recorded. Method 1 applies recorded seismic data to sliding blocks in conflict with d’Alembert’s principle of mechanics. Additionally, in Method 2, when the computation time step must be longer than the time in seismic data, computational results reveal abnormal base block displacements due to the non-zero velocity recorded at the end time of seismic data in seismic DDA. In this study, a novel algorithm to diminish the velocity of the base rock in the seismic analysis is utilized to modify Method 2. Furthermore, this work confirms that DDA with the modified Methods 2 and 3 is a practical approach for earthquake-induced landslide simulations.     

A coupled time integration algorithm for discontinuous deformation analysis using the numerical manifold method

To improve the computational efficiency of the numerical manifold method for discontinuous deformation simulations, a spatial-domain coupled explicit-implicit time integration algorithm is proposed. A subdomain partition algorithm based on a super manifold element is developed for the numerical manifold method to simulate dynamic motions of blocky rock mass. In different subdomains, explicit or implicit time integration method is employed respectively based on its contact and motion status. These subdomains interact through assembling the corresponding explicit or implicit time integration-based matrices of different rock blocks. The computational efficiency of the discontinuity system under dynamic loading is improved by partially diagonalizing the global matrices. Two verification examples of a sliding block along an inclined plane under a horizontal acceleration excitation and a multiblock system acted on by dynamic forces are studied to examine the accuracy of the proposed numerical method, respectively. A highly fractured rock mass situated on an inclined slope subjected to seismic excitations is then studied to show the computational efficiency of the developed algorithm. The simulated results are in good agreement with those from the versions using purely implicit or explicit time integration algorithm for the numerical manifold method. The computational efficiency is shown to be higher using the proposed algorithm, which demonstrates its potential for application in dynamic analysis of highly fractured rock masses.     

Seismic Analysis of Shear-Wall Structures with Vertically Installed Dampers

Theapplicationofreinforcedconcrete(RC)shear wallbuildingsisquitecommoninseismicare as.Shearwalls,withlargerigidityandhigh strength,aretheprimarymembersforresistinghori zontalloadsinbuildingstructures.Butunderthe forceofasevereearthquake,shearwallsareprone…     

Consolidation of double‐layered ground with vertical drains

Vertical drains are usually installed in subsoil consisting of several layers. Due to the complex nature of the problem, over the past decades, the consolidation properties of multi‐layered ground with vertical drains have been analysed mainly by numerical methods. An analytical solution for consolidation of double‐layered ground with vertical drains under quasi‐equal strain condition is presented in this paper. The main steps for the computation procedure are listed. The convergence of the series solution is discussed. The comparisons between the results obtained by the present analytical method and the existing numerical solutions are described by figures. The orthogonal relation for the system of double‐layered ground with vertical drains is proven. Finally, some consolidation properties of double‐layered ground with vertical drains are analysed. Copyright © 2001 John Wiley & Sons, Ltd.     

SV波入射下河谷地形地震动分布特征分析

基于显式有限元方法和人工透射边界,对二维河谷地形在3条地震动波以SV波形式垂直入射和30°斜入射下进行了地震反应分析,比较了河谷地表各观测点地震动的差别,探讨了河谷地形地震动空间分布特征。结果表明,河谷地形对地震动分布具有重要影响,沿河谷斜坡顶到谷底的各观测点地震动峰值加速度（PGA）存在显著差异,地震动位移存在差动现象,地震动加速度反应谱在大于1 Hz的高频段差别明显。入射角度是影响场地地震反应的重要因素,斜入射时各观测点PGA和相对位移的离散程度明显大于垂直入射情形。     

地震条件下挡墙后黏性土主动土压力研究

采用水平层分析法,得到了地震条件下挡墙后黏性土主动土压力合力和作用点位置、土压力强度分布以及临界破裂角的解析解。公式考虑了水平和垂直地震加速度、挡墙墙背倾角、填料黏聚力和内摩擦角、填料与墙背的黏结力和外摩擦角、均布超载等因素,并分析了这些因素对主动土压力的影响。结果表明,朗肯和库伦理论下的主动土压力公式以及Mononobe-Okabe主动土压力公式与地震条件下的主动土压力公式完全一致。地震条件下的主动土压力强度沿墙高呈非线性分布。水平地震加速度增大了主动土压力,垂直地震加速度使得主动土压力有所减小     

An energy-based interpretation of sand liquefaction due to vertical ground motion

In several recent earthquakes, high vertical ground accelerations accompanied by liquefaction were observed. Downhole records have also shown that large vertical accelerations do not necessarily originate from the source, but rather get amplified towards the ground surface. Given the advantages of energy-based interpretation of liquefaction triggering due to S-waves, this approach is used together with finite element analyses to investigate vertical motion amplification and ensuing liquefaction. The results show the importance of the post-resonance response cycles, while hysteretic damping based on total stresses, accounting for the water in the pores, is shown to be very low, explaining the observed amplification.     

围压与冲击扰动作用下组合煤岩超低摩擦效应分析

深部煤岩在垂直扰动作用下发生振动,当水平冲击足以克服块体间摩擦阻力时,极易发生超低摩擦型冲击地压。文章以细砂岩-煤-细砂岩组合块体为研究对象,考虑顶板-煤-底板临近工作面开采工况,采用数值模拟方法,建立围压与冲击扰动下组合煤岩数值模型,以煤块水平位移、垂直加速度差值作为超低摩擦效应特征参数,分析围压、垂直冲击及水平冲击对特征参数的影响规律。研究结果表明:在垂直冲击与围压共同作用下,煤岩体残余位移及水平位移峰值随围压增大且呈指数增长趋势;在垂直冲击、水平冲击和围压三者共同作用下,煤岩体超低摩擦效应强度与作用时间都随着围压呈增加趋势;垂直冲击对组合煤岩超低摩擦效应的影响最为显著。      

饱和土中单桩复合地基上块体的速度导纳特性分析

根据饱和土弹性波动方程,建立了饱和地基轴对称竖向振动问题的一种有限元-无限元耦合解法并编制了计算程序,其精度应用Lamb问题的理论解来进行检验。参数分析结果表明,地基土的渗透性对单桩复合地基上块体竖向振动速度导纳的低频特性及共振频率影响甚微,但会使高频下的速度导纳幅值有所增大。该方法对饱和土中单桩复合地基动测技术的研究与应用具有一定的理论指导作用。     

路基荷载下PCC刚性桩复合地基沉降简化计算

将路堤荷载作用下的刚性桩复合地基变形,简化为只有竖向变形,水平变形可以忽略,然后,应用土体的平衡、几何、物理方程,建立沉降计算的控制方程。桩土界面的接触条件按位移协调或产生滑移变形两种情况分别建立,采用有限差分法离散求解,可得桩、桩周土各自的沉降变形、桩土界面的摩擦力分布。与有限元分析和现场实测结果的对比表明,该简化方法具有较高的准确性,可以方便地应用到工程实际。