基于坝体损伤及坝基稳定的重力坝动力分析及安全评价

强震区高混凝土坝的坝体强度和动力稳定是关系大坝抗震安全最为重要的两个因素。为了全面研究地震作用下的混凝土坝的抗震安全,采用混凝土塑性损伤及动力接触模型来分析模拟地震中坝体的损伤及坝基滑裂面的破坏、张开、滑移的全过程。通过构建坝体—基岩三维有限元非线性动力接触模型综合分析震后坝体损伤区域分布、坝基滑移面的接触状态及塑性区的动态分布,避免了采用单一判据的评价的局限性。以某重力坝为例,采用超载法进行大坝动力损伤及动力稳定性进行计算并对大坝的抗震安全进行评价,得到大坝的超载安全系数。工程算例表明：该方法可以全面的评价地震过程中大坝的坝体损伤和稳定性并能够考虑其相互影响,为混凝土坝抗震安全评价提供了新的途径。     

强震对高拱坝的承载能力影响研究

针对高烈度区混凝土拱坝的抗震性能评价及震后风险应急评估问题,从震后受损坝体的安全性能的角度开展了研究。通过非线性数值分析方法针对不同强度地震动作用下受损坝体的水压力超载安全性能进行了分析,讨论了震后受损坝体在水压力超载下的位移变化规律,并提出了坝面损伤面积比及坝体损伤体积比两个新的指标,用于分析拱坝震后的坝体安全性。计算结果表明,拱坝体型和受力形式使坝体具有优良的抗震性能,能够经受强震的作用,损伤坝体在震后可以保证承受水压力安全,所提出的坝体损伤累积面积比和损伤累积体积比指标不仅可以反映拱坝抗震性能的演化规律,而且可以反映震后损伤坝体的承载安全,与传统的拱坝抗震性能评价指标相比,更适合作为拱坝安全性能的评价指标。     

库水-淤砂层-坝体-坝基体系地震响应分析

针对我国西部水利工程结构面临的地震安全问题，特别是混凝土高拱坝的抗震安全设计，以小湾水电站混凝土高拱坝为研究对象，进行了库水-淤砂层-坝体-坝基体系的耦合动力分析，同时考虑了复杂的坝基地形、正常蓄水位的库水以及常年运行而堆积的淤沙层的影响。主要内容有：(1)基于传递矩阵法及二维有限元，实现了复杂峡谷地形的自由场计算；(2)基于水-饱和多孔介质-固体的统一计算框架，实现了库水-淤沙层-坝体-坝基体系的三维地震响应分析算法。最后，分别以脉冲波和地震波作为输入，探讨了小湾拱坝的地震响应规律及库水淤沙层对拱坝地震响应的影响。结果表明：坝体顶部中心区域会承受较大的拉、压应力；而库水底部淤砂层对坝体的位移及应力影响并不显著。     

有缝拱坝-地基系统非线性地震波动反应分析方法

拱坝坝体中缝界面在地震作用下的开、合模拟对拱坝地震反应有重要影响。目前在拱坝地震反应分析中应用的一些模型,如Ｆｅｎｖｅｓ模型、Ｄｏｗｌｉｎｇ的三参数模型,存在对缝界面的接触状态模拟精度不高的问题,这对于准确评价工程上关心的缝界面最大张开率是不足的。此外,坝基中存在的断层、节理、裂隙待软弱夹层的非线性力学特性和无限地基能量辐射作用对拱坝地震反应也有重要影响。在拱坝地震反应分析中同时考虑这三种影响因素     

基于不同设计反应谱的溪洛渡拱坝动力响应分析

合理的设计反应谱是保证高拱坝动力分析和安全评价结果可靠的前提。为研究不同反应谱时程对拱坝非线性响应的影响,分别基于GB 51247—2018《水工建筑物抗震设计标准》设计反应谱、DL 5073—2000《水工建筑物抗震设计规范》设计反应谱、以及溪洛渡场地相关反应谱,拟合出地震动时程,采用溪洛渡拱坝-库水-地基系统非线性损伤开裂模型进行拱坝的非线性地震响应分析。结果表明：反应谱的选择对溪洛渡拱坝地震响应影响显著,相比于2000年标准反应谱,2018年标准反应谱使溪洛渡拱坝坝顶最大动相对位移增加、坝顶上游面横缝开度增大、孔口和坝踵位置损伤加深。并且,2018年标准下的坝体动力响应整体高于基于场地谱的计算结果,而2000年规范下的坝体动力响应低于场地谱的计算结果,说明2000年规范理应更新,2018年标准更符合当下的抗震设计需求。     

基于损伤塑性模型的砌体墙体非线性有限元分析

为了研究砌体墙体用钢结构加固后的力学性能,需要提供较准确的砌体墙体非线性计算,考虑到砌体与混凝土的材料性质具有相似性,将混凝土损伤塑性模型经修正后应用于砌体数值模拟,实现对砌体墙体的非线性有限元分析。通过与水平加载试验结果对比,验证了有限元模型的正确性。探讨了损伤塑性模型中的粘性系数、膨胀角、砌体本构关系中的初始弹性模量、受拉应力应变关系对计算结果的影响。结果表明：粘性系数和膨胀角对抗剪承载力、峰值位移及下降段性能均有较大影响,而对初始刚度影响很小;随着初始弹性模量的增大,砌体墙体抗剪承载力随之提高,但峰值位移无明显变化;受拉应力应变方程中待定系数的取值,对抗剪承载力及峰值位移影响较大。     

高拱坝体系整体抗震安全评价方法研究

采用非线性地震波动反应分析方法，将坝体、地基、库水的强震反应本质上作为满足体系中接触面边界约束条件的波传播问题，在时域内以显式有限元方法求解。在不同概率水平的地震波作用下进行高拱坝与地基体系的有限元时程分析，并建议了以坝体位移反应发生突变为依据的拱坝体系整体失稳判断准则，从而建立了进行高拱坝体系整体抗震安全评价的方法，并以小湾拱坝为算例，对其抗震安全度作出初步评价。     

高拱坝的非线性开裂静动力响应分析

采用混凝土非线性本构模型和破坏准则，对300m级的高拱坝在静力荷载和地震荷载联合作用下的响应进行了线性、非线性对比分析。算例分析表明，对于300m级的高拱坝，地震荷载会进一步加剧混凝土的开裂，增大压应力，使其安全储备大大降低。拱坝材料非线性的影响不可忽视。     

有横缝拱坝的非线性动力模型试验和计算分析研究

本文通过在大型三向地震模拟振动台上进行的设置伸缩横缝的某拱坝非线性动力模型试验，应用非线性有限元动力分析程序同时进行计算分析，全面系统地研究了拱坝横缝对坝体动力特性和地震反应的影响，并对计算程序进行了改进。试验与计算结果相互印证，验证了试验成果的可靠性和计算分析模型、计算程序与计算结果的合理性。     

基于IDA的金安桥混凝土重力坝潜在失效模式研究

为了研究混凝土重力坝在地震动荷载作用下的潜在失效模式,以金安桥碾压混凝土重力坝5号非溢流坝段为例,运用粘弹性边界法和流固耦合法建立了反映重力坝在地震动作用下动力响应特征的坝体-地基-库水抗震分析模型。基于增量动力分析（IDA）法:绘制了以相对位移转角为x轴（损伤指标,DM）和峰值地面加速度为y轴（强度指标,IM）的IDA曲线簇;分析了金安桥大坝在极端荷载作用下的潜在失效模式和其在不同峰值地面加速度下重力坝的损伤破坏过程。结果表明:金安桥大坝在地震动荷载作用下,可能发生功能失效的地方多出现在坝体折坡处、碾压分区交界处、坝踵与坝基交界处、廊道顶等应力集中处。因此,加强对这些区域的抗震防护有利于提高大坝整体的抗震水平。     

Nonlinear seismic response analysis of arch dam-foundation systems- part I dam-foundation rock interaction

The arch dam–foundation rock dynamic interaction and the nonlinear opening and closing effects of contact joints on arch dam are important to the seismic response analysis of arch dams. Up to date, there is not yet a reasonable and rigorous procedure including the two factors in seismic response analysis. The methods for the analysis of arch dam–foundation rock dynamic interaction in frequency domain are not suitable to the problem with nonlinear behaviors, in this paper, so an analysis method in time domain is proposed by combining the explicit finite element method and the transmitting boundary, and the dynamic relaxation technique is adopted to obtain the initial static response for dynamic analysis. Moreover, the influence of arch dam–foundation dynamic interaction with energy dispersion on seismic response of designed Xiaowan arch dam in China is studied by comparing the results of the proposed method and the conventional method with the massless foundation, and the local material nonlinear and nonhomogeneous behaviors of foundation rock are also considered. The reservoir water effect is assumed as Westergaard added mass model in calculation. The influence of the closing–opening effects of contact joints of arch dam on the seismic response will be studied in another paper.     

Nonlinear earthquake analysis of high arch dam–water–foundation rock systems

A nonlinear finite element model for earthquake response analysis of arch dam–water–foundation rock systems is proposed in this paper. The model includes dynamic dam–water and dam–foundation rock interactions, the opening of contraction joints, the radiation damping of semi‐unbounded foundation rock, the compressibility of impounded water, and the upstream energy propagating along the semi‐unbounded reservoir. Meanwhile, a new equivalent force scheme is suggested to achieve free‐field input in the model. The effects of the earthquake input mechanism, joint opening, water compressibility, and radiation damping on the earthquake response of the Ertan arch dam (240 m high) in China are investigated using the proposed model. The results show that these factors significantly affect the earthquake response of the Ertan arch dam. Such factors should therefore be considered in the earthquake response analysis and earthquake safety evaluation of high arch dams. Copyright © 2011 John Wiley & Sons, Ltd.     

Analysis of seismic disaster failure mechanism and dam-break simulation of high arch dam

Based on a Chinese national high arch dam located in a meizoseismal region, a nonlinear numerical analysis model of the damage and failure process of a dam-foundation system is established by employing a 3-D deformable distinct element code(3DEC) and its re-development functions. The proposed analysis model considers the dam-foundation-reservoir coupling effect, infl uence of nonlinear contact in the opening and closing of the dam seam surface and abutment rock joints during strong earthquakes, and radiation damping of far fi eld energy dissipation according to the actual workability state of an arch dam. A safety assessment method and safety evaluation criteria is developed to better understand the arch dam system disaster process from local damage to ultimate failure. The dynamic characteristics, disaster mechanism, limit bearing capacity and the entire failure process of a high arch dam under a strong earthquake are then analyzed. Further, the seismic safety of the arch dam is evaluated according to the proposed evaluation criteria and safety assessment method. As a result, some useful conclusions are obtained for some aspects of the disaster mechanism and failure process of an arch dam. The analysis method and conclusions may be useful in engineering practice.     

Investigation of damping in arch dam-water-foundation rock system of Mauvoisin arch dam

The overall damping of linear arch dam-water-foundation rock systems depends on the material damping of dam concrete, the material and radiation damping of semi-unbounded foundation rock, and the dam-water interaction. In this paper, the effective damping ratio of these factors is separately evaluated for Mauvoisin arch dam in Switzerland to quantitatively discuss their contributions, and to guide the damping selection in the numerical analysis. This paper also aims to investigate if the material and radiation damping of the foundation rock can be replaced by increasing the material damping of the dam to simplify numerical analysis models. The seismic responses of Mauvoisin arch dam are analyzed using the semi-unbounded and massless foundation models, respectively. The results show that the overall effective damping ratio of the system can be approximately expressed as the summation of the individual effective damping and thus the increased material damping of the dam can approximate the material and radiation damping of the semi-unbounded foundation rock.     

Integrative seismic safety evaluation of a high concrete arch dam

An integrative seismic safety evaluation of an arch dam should include all sources of nonlinearities, dynamic interactions between different components and the external loads. The present paper investigates the calibration procedure and nonlinear seismic response of an existing high arch dam. The first part explains the conducted analyses for the static and thermal calibrations of the dam based on site measurements. The second part investigates the nonlinear seismic analysis of the calibrated model considering the effect of joints, cracking of mass concrete, reservoir–dam–rock interaction, hydrodynamic pressure inside the opened joints and the geometric nonlinearity. Penetration of the water inside the opened joints accelerates the damage process. The integrative seismic assessment of a case study shows that the dam will fail under the maximum credible earthquake scenario. The dam is judged to be severely damaged with extensive cracking and the joints undergo opening/sliding. A systematic procedure is proposed for seismic and post-seismic safety of dams.     

Experimental study of seismic overloading of large arch dam

A dynamic overloading model test has been carried out on a shaking table for an arch dam of 278 m in height to investigate its behaviours under strong earthquake. The model system included the arch dam with contraction joints, part of reservoir, partial foundation rock with topographic feature near the dam. A damping boundary consisting of viscous liquid has been used to simulate the effect of dynamic energy emission to far field, which made the dynamic interaction between dam and foundation in model arch dam system be represented properly. Three sets of different seismic waves of design level have been used as the input to investigate the difference in the responses of arch dam. Artificial waves of different levels have been used to verify the behaviours of arch dam under seismic overloading. Since the opening of joints during strong earthquake reduced the response acceleration and tensile arch stress, cantilever stress on downstream face exceeded the tensile strength first for the model dam. And the arch dam responded in a non‐linear way when input seismic load increased. Some cracks appeared near abutments, and the damage made the natural frequency of arch dam to drop obviously, but the static function did not seem to change for the model tested. Copyright © 2005 John Wiley & Sons, Ltd.     

Dam-foundation rock interaction effects in frequency-response functions of arch dams

The linear response of a selected arch dam to harmonic upstream, vertical or cross-stream ground motion is presented for a wide range of the important system parameters characterizing the properties of the dam, foundation rock, impounded water and reservoir boundary materials. Based on these frequency-response functions, the dam-foundation rock interaction effects in the dynamic response of arch dams are investigated.     

Seismic damage analysis of the outlet piers of arch dams using the finite element sub-model method

This study aims to analyze seismic damage of reinforced outlet piers of arch dams by the nonlinear finite element(FE) sub-model method. First, the dam–foundation system is modeled and analyzed, in which the effects of infinite foundation, contraction joints, and nonlinear concrete are taken into account. The detailed structures of the outlet pier are then simulated with a refined FE model in the sub-model analysis. In this way the damage mechanism of the plain(unreinforced) outlet pier is analyzed, and the effects of two reinforcement measures(i.e., post-tensioned anchor cables and reinforcing bar) on the dynamic damage to the outlet pier are investigated comprehensively. Results show that the plain pier is damaged severely by strong earthquakes while implementation of post-tensioned anchor cables strengthens the pier effectively. In addition, radiation damping strongly alleviates seismic damage to the piers.     

Earthquake response of arch dams to spatially varying ground motion

The response of two arch dams to spatially varying ground motions recorded during earthquakes is computed by a recently developed linear analysis procedure, which includes dam–water–foundation rock interaction effects and recognizes the semi‐unbounded extent of the rock and impounded water domains. By comparing the computed and recorded responses, several issues that arise in analysis of arch dams are investigated. It is also demonstrated that spatial variations in ground motion, typically ignored in engineering practice, can have profound influence on the earthquake‐induced stresses in the dam. This influence obviously depends on the degree to which ground motion varies spatially along the dam–rock interface. Thus, for the same dam, this influence could differ from one earthquake to the next, depending on the epicenter location and the focal depth of the earthquake relative to the dam site. Copyright © 2009 John Wiley & Sons, Ltd.     

Frequency response functions for arch dams: Hydrodynamic and foundation flexibility effects

The linear response of a selected arch dam to harmonic upstream, cross-stream or vertical ground motion is presented for a wide range of the important system parameters characterizing the properties of the dam, impounded water, reservoir boundary materials and foundation rock. Based on these frequency response functions, the hydrodynamic and foundation flexibility effects in the dynamic response of arch dams are investigated.