高拱坝伸缩横缝间布设阻尼器对坝体地震反应影响的研究

对设置伸缩横缝的小湾高拱坝结构，应用子结构理论，分别就正常高水位与常遇低水位两种水位工况，考虑坝体伸缩横缝在地震交变荷载作用下反复开合引起的缝面间滑移、接触等效应的影响，坝体-库水的相互作用而产生的动水压力的影响，对坝体的抗震性能进行了地震反应分析。对伸缩缝间设置阻尼器这新的设计思想进行了可行性的研究，论证推导了阻尼器的计算模型，探讨了阻尼器对坝体抗震性能的影响。     

库水模型及库水深度对拱坝动力响应的影响

基于接触非线性有限元模型,以锦屏一级拱坝为例,库水分别采用附加质量模型、可压缩流体有限元模型、不可压缩流体有限元模型计算了正常蓄水位及运行低水位时坝体的动力响应,结果表明:库水模型对拱坝动力响应有较大影响,随库水深度的增大,各模型计算结果差异增大;相比于流体可压缩模型,采用不可压缩流体模型所得动力响应普遍偏大;运行低水位工况,由于静水压力减小导致拱效应减弱,从而降低了拱坝的整体性,因此运行低水位工况各缝开度普遍高于正常蓄水位工况,且其拉应力范围较大,因此,运行低水位工况将对抗震设计起控制作用。     

拱坝的动力控制研究

在拱坝坝缝中布置钢筋和阻尼器，可在一定范围内实现控制坝体的动力反应，总体来说，拱向钢筋对坝体动力反应有控制作用，径向钢筋的作用不大；拱向阻尼器的控制效果较好，而径向阻尼器的效果不大。对动力反应的调整方面，对设置有3条缝的坝体的幅度比设置有1条缝的坝体的幅度要大。1条缝坝体同时设置拱向钢筋和阻尼器对梁向动拉应力的调整幅度为－2．846～-4.273MPa，而3条缝的为－2．482～-4.692MPa。     

均匀土-箱基-结构相互作用体系的计算分析

采用通用有限元程序ANSYS，针对捱动台试验中的均匀土-箱基-结构试验进行了三维有限元分析，计算中土体的本构模型采用等效线性模型，利用面-面接触单元考虑土体与基础交界面的状态非线性。计算表明，基础底面和土体发生滑移，基础侧面和土体之间发生了滑移和脱离，上部结构柱顶加速度反应主要由基础转动引起的摆动分量组成，通过与试验结果的对照研究，二者得出的规律基本一致，验证了采用的计算模型与分析方法的合理性，为进一步计算研究和实际工程应用奠定了基础。     

动力UH模型

针对砂土在动力荷载作用下所表现出的应力诱导各向异性,以改进后的UH超固结土模型为基础,采用旋转硬化规则将其扩展为可考虑与砂土应力应变关系的动本构模型。主要改进有3方面:(1)将形状固定的椭圆屈服面改变为可变屈服面,椭圆的形状由β来刻画,而β本身是椭圆旋转轴的大小,表示应力诱导各向异性程度的大小;(2)引入旋转硬化规则,使椭圆屈服面可围绕原点旋转以反映反向加载条件下的本构响应;(3)对统一硬化参数进行了修正,首先对潜在强度公式增加了一个参数α用来调节超固结应力比参数R对于潜在强度值的影响,其次针对应力诱导各向异性建立起能反映旋转硬化与等向硬化相协调的扩展统一硬化参数。模型预测与试验结果的对比以及有限元模拟表明:提出的动力统一硬化(DUH)模型能够简单、合理的描述与砂土在动力载荷下的本构关系,验证了所提模型的合理性。     

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。     

混凝土重力坝整体动力特性研究

结合金安桥混凝土重力坝工程的抗震性能研究,对大坝按整体模型和分缝模型分别进行了动力试验。试验中考虑了横缝和动水压力的影响,得到了整个坝体空库、满库时的空间动力特性。并对大坝进行了三维有限元动力分析,与模型试验结果进行了比较,两者符合得较好。     

基于THMD耦合的干热岩径向井压裂裂缝扩展

构建大规模裂缝网络是干热岩有效开发的关键.借助径向井在诱导裂缝转向与多缝形成方面的优势，提出采用径向井压裂干热岩储层.基于温度-渗流-应力-损伤(THMD)耦合模型，考虑压裂过程中低温诱导热应力作用，首先探讨了干热岩径向井压裂裂缝扩展机理及径向井诱导作用下热应力与注入压力对应力场的扰动机制，随后分析了储层温度、径向井方位角对裂缝形态的影响规律.结果表明：采用径向井压裂干热岩在径向井的辅助冷却作用下低温诱导热应力加剧，径向井的存在有利于储层拉应力提升，干热岩径向井压裂与直井压裂相比损伤单元数增幅51.63%.基岩温度升高径向井引导裂缝偏转能力增强.径向井方位角增加有利于压裂损伤区域缝网沟通，降低流体流动阻抗.     

超高性能混凝土拉压滞回本构模型

为合理进行超高性能混凝土(ultra-high performance concrete, UHPC)结构抗震非线性计算,提出了一种可模拟循环往复荷载作用下UHPC构件力学性能的拉压滞回本构模型。基于UHPC材料单调及重复轴压试验数据,在单调轴压本构模型的基础上,引入线性加卸载路径,建立了考虑钢纤维影响的UHPC重复受压本构模型。基于UHPC材料单调及重复轴拉试验数据,对应力软化型和应力硬化型的UHPC分别提出了双折线和三折线型的受拉应力-应变曲线,并建立了UHPC重复受拉本构模型。在重复受压和重复受拉本构模型的基础上,引入拉压传递机理,建立UHPC拉压滞回本构模型。基于OpenSees二次开发平台,采用文中所提拉压滞回本构模型对循环往复荷载下UHPC柱的力学性能进行计算,并与试验数据进行对比。结果表明：构建的UHPC拉压滞回本构模型可较好地模拟不同钢纤维掺量及不同轴压比下UHPC柱在循环往复荷载作用下的受力性能,可应用于UHPC结构抗震非线性分析。     

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。     

Non‐linear seismic response of arch dams with contraction joint opening and joint reinforcements

A comprehensive study of non‐linear seismic response of arch dams with contraction joint opening and joint reinforcements has been conducted. A numerical model of contraction joint reinforcements is presented for optimization control of the joint opening. The objective of this control is to reduce the joint opening and expectantly to balance the sustained loads between the horizontal and the vertical components of the dam, thus avoiding an overstress in the cantilever while retaining the release of arch tensile stresses to some extent. Several parameter studies such as critical element size and required number of joints to be simulated for convergence are also performed. As an engineering application, a 292‐m high arch dam (the Xiaowan arch dam) and the Big Tujunga dam are analysed in detail. The results demonstrate that the joint opening and the corresponding load transfer from the arch to cantilever components of the dam during strong earthquakes are substantial. It is also evident that by providing sufficient strength and reinforcement flexibility, the joint opening can be controlled to some extent. However, the stress redistribution due to reinforcement control is not sufficient to avoid the overstress in the cantilever for the Xiaowan arch dam. Thus, alternative measures are discussed. Copyright © 2000 John Wiley & Sons, Ltd.     

考虑横缝影响的拱坝动力分析

本文在求解三维弹性静力摩擦接触问题的有效方法-非光滑方程组方法的基础上,通过能够近似满足动量、动能守恒条件的速度、加速度的修正方法,将该方法推广到动力接触问题的求解中,以考虑地震时拱坝中横缝的开合、错动对坝体动力响应的影响。同时文中采用由多次透射公式表示的人工边界条件来考虑坝-基动力相互作用的影响。数值算例中分析了横缝的数目和布置位置对拱坝动力响应的影响。     

拱坝横缝影响及有效抗震措施的研究

大量研究结果和某些拱坝的地震震害表明，横缝对拱坝的地震响应有很大的影响。通过采用非光滑方程组方法以及考虑碰撞时刻动量、动能守恒来模拟横缝所引起的动接触问题，同时为了提高计算效率，采用隐-显式积分方法对坝-基系统的动力平衡方程进行求解。针对在拱坝中上部配筋这一抗震措施，也作了探讨。通过对小湾拱坝的分析，为高拱坝工程抗震措施的选择提供技术依据。     

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.     

Response of jointed arches to earthquake excitation

An efficient method for accurately modelling the gradual opening and closing of joints in two-dimensional slabs and arches has been devised. The method is used in computing the earthquake response of an arch which is a representative horizontal cross-section of a concrete arch dam. Responses of the arch with and without joints are compared to assess the effect of joint opening. An extension to three-dimensional arch dams is proposed.     

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.     

Seismic stability assessment of an arch dam-foundation system

A seismic stability assessment of arch dam-foundation systems is presented using a comprehensive approach,in which the main factors that significantly influence the seismic response of an arch dam-foundation system are considered.A large scale finite element model with over 1 million degrees of freedom is constructed for the Baihetan arch dam(289 m high),which is under construction in the Southwest of China.In particular,the complicated geological conditions with faults intersecting interlayer shear weakness zones at the dam base and the dam abutment resisting force body is modeled in the analysis.Three performance indices are adopted to assess the seismic stability of the arch dam.The results demonstrate that the opening of the joints of the Baihetan arch dam is small and the water stop installed between the joints would not be torn during a design earthquake.The yielding formed in the interface between the dam and foundation does not reach the grouting curtain that would remain in an elastic state after an earthquake.The yielding zones occurring on the upper portion of the dam faces extend 1/8 thickness of block section into the dam body and thus cantilever blocks need not be concerned with sliding stability.The faults and interlayer shear weakness zones in the near field foundation exhibit severe yielding,and a potential sliding surface is penetrated.Although the factor of safety against sliding of the surface fluctuates with a decreased trend during an earthquake,the minimum instantaneous value reaches 1.02 and is still larger than 1.0.Therefore,a conclusion is drawn that the Baihetan arch dam-foundation system will remain stable under the design earthquake.