A note on the dynamic response of rigid embedded foundations

The problem of the dynamic response of rigid embedded foundations subjected to the action of external forces and seismic excitation is analysed. It is shown that to calculate the response of rigid embedded foundations, or the response of flat rigid foundations subjected to non-vertically incident seismic waves, it is necessary to obtain not only the impedance matrix for the foundation, but also the forces induced by the incident seismic waves. Under these general conditions, rocking and torsional motion of the foundation is generated in addition to translation. The case of a two-dimensional rigid foundation of semi-elliptical cross-section is used as an example to illustrate the effects of the embedment depth and angle of incidence of the seismic waves on the response of the foundation.     

不同地基条件对泳池式反应堆结构地震响应的影响

泳池式反应堆(简称泳池堆)是环境友好型的新型供热源,不同地基条件下反应堆厂房结构的地震响应是进行抗震设计的关键技术参考。以某堆型泳池式反应堆厂房为研究对象,基于ANSYS软件及UPFs的二次开发特点,建立考虑液晃效应的泳池堆-地基三维动力相互作用模型,其中,通过创建黏弹性边界单元来考虑散射波的能量耗散,采用Housner等效力学模型模拟动液压效应,从而开展不同地基对泳池堆厂房结构地震响应的影响分析。分析结果表明：当地基土的坚硬度、刚度逐渐减小时,泳池堆的地震响应变化明显,特别是由岩性地基逐渐变为土质地基时,结构的主应力和层间位移角逐渐增大,而加速度反应谱则逐渐减小。研究成果可为不同型号泳池堆的抗震设计提供有益的参考。     

级配砂石地基条件下核安全级廊道结构地震响应分析

级配砂石处理核安全级廊道结构的软弱地基有良好的发展前景,发展级配砂石地基条件下的廊道地震响应分析模型是评价其抗震安全性的关键问题。以某核电厂废液输送机排放廊道为研究对象,通过引入等价线性法描述近场级配砂石地基的非线性特征,在分析模型底部施加黏性边界模拟半无限空间,在截断边界的两侧施加黏性边界考虑波动的逸散效果,通过无厚度Goodman单元模拟廊道结构与周围地基的摩擦效应,并利用基于有限元法的自由场响应分析实现地震动输入,从而建立了级配砂石地基条件核安全级廊道结构地震响应分析计算模型。最后,通过开展级配砂石与回填素混凝土两种地基处理条件的廊道地震响应对比分析,该模型表现出良好的规律性及工程应用效果。研究成果可为在建项目、后续核电项目此类问题的地基处理提供借鉴与参考。     

Earthquake damage potential and critical scour depth of bridges exposed to flood and seismic hazards under lateral seismic loads

Many bridges located in seismic hazard regions suffer from serious foundation exposure caused by riverbed scour. Loss of surrounding soil significantly reduces the lateral strength of pile foundations. When the scour depth exceeds a critical level, the strength of the foundation is insufficient to withstand the imposed seismic demand, which induces the potential for unacceptable damage to the piles during an earthquake. This paper presents an analytical approach to assess the earthquake damage potential of bridges with foundation exposure and identify the critical scour depth that causes the seismic performance of a bridge to differ from the original design. The approach employs the well-accepted response spectrum analysis method to determine the maximum seismic response of a bridge. The damage potential of a bridge is assessed by comparing the imposed seismic demand with the strengths of the column and the foundation. The versatility of the analytical approach is illustrated with a numerical example and verified by the nonlinear finite element analysis. The analytical approach is also demonstrated to successfully determine the critical scour depth. Results highlight that relatively shallow scour depths can cause foundation damage during an earthquake, even for bridges designed to provide satisfactory seismic performance.     

高层房屋建筑深基坑支护承压结构局部抗震性试验分析

为了研究地震时地面运动加速度作用下高层房屋建筑深基坑支护承压结构的局部抗震性能，针对高层房屋建筑深基坑支护承压结构进行局部抗震性试验分析。采用有限元软件对某高层房屋建筑深基坑工程进行分析，构建高层房屋建筑深基坑支护承压结构有限元计算模型。利用地震模拟振动台，分别输入0.4g、0.5g、0.6g的地震时地面运动加速度，测试不同深基坑施工阶段和插入比地下连续墙深基坑支护承压结构的抗震性能，并研究不同地震烈度对深基坑支护承压结构位移的影响。通过振型分解反应谱法，获取高层房屋建筑深基坑支护承压结构位移以及加速度响应，实现高层房屋建筑深基坑支护承压结构局部抗震性能测试。试验结果表明，高层房屋建筑深基坑支护承压结构的抗震稳定性与深基坑开挖深度、插入比和地震烈度有关。其中，深基坑开挖深度和地震烈度与高层房屋建筑深基坑支护承压结构的抗震稳定性成反比，而插入比与高层房屋建筑深基坑支护承压结构的抗震稳定性成正比，且能够有效提高高层房屋建筑深基坑支护承压结构的抗震性能。     

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.     

某桥梁桩基础的抗震计算研究

当前桩基础的抗震设计仅采取构造措施来保证其抗震性能,有可能会过高或过低地估计桩基础的抗震性能。针对某桥梁桩基础的抗震设计,建立全桥的三维有限元模型,计算在桩-土-结构共同工作情况下桩基础的地震响应,通过输入不同地震波来进行对比分析,并对结果进行复核,得出:(1)桩身内力响应与所输入地震动的频谱特性有关,桩身沿横桥方向的内力最大;(2)对于该场地的桥梁桩基础,桩-土-结构共同工作的有限元分析结果与m法结果差别不大;(3)当承台埋深为0时,桩身内力基本都偏大,要对承台侧土体做相应的加固处理。     

苏通大桥南引桥场地土层地震反应的数值分析

针对苏通引桥建设的实际背景和软弱地基的特点,利用二维有限元整体分析法,对其场地进行了地震反应数值分析。采用等效线性化模型描述土的非线性性质,研究了基岩在一致输入及采用不同行波输入下的场地地震反应特点。计算结果表明,不同的行波速度和行波输入方向,对地表加速度以及相对位移的峰值和相位均有不同程度的影响,对于重要结构来说进行多点地震波输入下的地震反应分析,有助于科学合理地确定结构的地震动输入模式。     

Feasibility of reducing three-dimensional wave energy by introducing periodic foundations

A new seismic isolation foundation called the periodic foundation is proposed, which can be described as a three-dimensional typical cell consisting of a high density core, a soft coating and a concrete matrix. Utilizing the attenuation zones (AZs) resulted by the periodicity of the foundation, the mechanism of this new seismic isolation system is different from the traditional ones. The seismic waves with the frequencies in the AZs cannot propagate across the foundation. Thus, the seismic responses on the top surface of the periodic foundation can be reduced significantly. In this paper, the dispersion curves of the three-dimensional three-component (3D–3C) periodic foundations are analyzed by the finite element method (FEM). The influencing factors such as physical and geometrical parameters of the typical cell are investigated. In order to verify its feasibility, a three-dimensional (3D) soil-foundation finite element model is analyzed, and the frequency zones of seismic attenuations are consistent with the AZs. The periodic foundation can greatly reduce the seismic response, which implies that the periodic foundation has a great potential application on seismic isolation.     

A study on the effects of the foundation compliance on the response of yielding structures using dimensional analysis

The effects of the foundation compliance on the dynamic response of yielding systems are evaluated using rigorous dimensional analysis. To this end, a soil-foundation-structure system is subjected to strong ground motion and its seismic response is determined in terms of dimensionless parameters. The seismic demand of the system is calculated as a function of meaningful engineering parameters, such as the yielding acceleration and yielding displacement of the structure, the system mass and damping, as well as the dynamic characteristics of the foundation. It is proved that the seismic demand is strongly dependent on the foundation to excitation pulse predominant frequency ratio. For large values of yielding acceleration, the demand depends strongly on the yielding displacement and the mass. Moreover, there is a strength range where an increase in strength results in an increase in displacements—a counter intuitive situation. The larger the yielding displacement, the larger the seismic demand. Furthermore, the larger the foundation soil mass, the larger the seismic demand. Finally, an application of the procedure on an actual structure proves that soil-foundation-structure interaction (SFSI) is not always beneficial for the structure.     

Winkler model for dynamic response of composite caisson–piles foundations: Seismic response

A simplified method with a dynamic Winkler model to study the seismic response of composite caisson–piles foundations (CCPF¹) is developed. Firstly, with the dynamic Winkler model, the kinematic response of the CCPF subjected to vertically propagating seismic S-wave is analyzed by coupling the responses of caisson part and pile part. Secondly, a simplified model for the foundation–structure system is created with the structure simplified as a lumped mass connected to the foundation with an elastic column, and through the Fast Fourier Transformation (FFT) this model is enabled to solve transient seismic problems. Thirdly, the proposed method for the seismic response of CCPF-structure systems is verified by comparison against 3D dynamic finite element simulation, in which the Domain Reduction Method (DRM²) is utilized. Lastly, the mechanism and significance of adding piles in improving the earthquake resistance of the foundation and structure is analyzed through an example with different soil conditions. Discovered in this study is that adding piles under the caisson is an efficient way to increase seismic resistant capability of the soil–foundation–structure system, and the main mechanism of that is the elimination of the pseudo-resonance.     

Seismic soil–structure interaction of massive flexible strip-foundations embedded in layered soils by hybrid BEM–FEM

A study on the seismic response of massive flexible strip-foundations embedded in layered soils and subjected to seismic excitation is presented. Emphasis is placed on the investigation of the system response with the aid of a boundary element–finite element formulation proper for the treatment of such soil–structure interaction problems. In the formulation, the boundary element method (BEM) is employed to overcome the difficulties that arise from modeling the infinite soil domain, and the finite element method (FEM) is applied to model the embedded massive flexible strip-foundation. The numerical solution for the soil–foundation system is obtained by coupling the FEM with the BEM through compatibility and equilibrium conditions at the soil–foundation and soil layer interfaces. A parametric study is conducted to investigate the effects of foundation stiffness and embedment on the seismic response.     

Seismic stability of concrete gravity dams

Linear finite element analyses are commonly used to simulate the behaviour of gravity dam—foundation systems. However, the foundation is generally unable to develop any significant tensile stresses. Therefore any tension occurring in the vicinity of the dam—foundation interface is largely fictitious. Moreover, the traditional overturning and sliding stability criteria have little meaning in the context of the oscillatory response of dams during earthquakes. In this study, time domain analyses using non-linear contact elements located at the dam—foundation interface have been used to determine the dynamic sliding and uplifting response of gravity dam monoliths considering various elastic foundation properties. The magnitudes of the relative interface displacements, of the percentage of base not in contact (PBNC) and of the compressive stresses at the heel or toe of the dam have been used to monitor the seismic stability. The numerical results have shown that the non-linear behaviour of the dam—foundation interface reduces the seismic response of the system, indicating the possibility of more rational and economical designs. The PBNC was identified as the critical seismic stability response parameter for all analyses except for very flexible foundation conditions where the maximum values of relative interface displacements need to be considered.     

Construction parameters of graded sand-gravel foundation on seismic response law of nuclear safety grade underground corridor

The treatment of soft soil foundation under nuclear safety grade corridors with graded sand and gravel materials has a good development prospect. It is of great engineering value to explore the influence of construction parameters of graded sand and gravel foundation on the seismic response of gallery structures. Taking the safety grade underground corridor of a nuclear power plant as the engineering background, the equivalent linear method is used to consider the nonlinear dynamic characteristics of graded sand and gravel. The energy transfer boundary is applied at the truncation boundary to simulate the dissipation effect of scattered wave fluctuation energy and the ground motion input. The thicknessless contact element is introduced to consider the contact effect between the corridor structure and the graded sand and gravel foundation, so as to establish the calculation model of the dynamic interaction between the graded sand and gravel foundation and the corridor structure. Furthermore, the influence of the relative compactness and the foundation treatment depth on the seismic response of the corridor structure is studied, and the calculation results of the acceleration response spectrum and relative displacement of the corridor structure are analyzed. The calculation results show that the two construction parameters have different degrees of influence on the seismic response of corridor structure. The research results can provide reference for the engineering design and construction of underground corridors, and provide technical support for the application of graded gravel materials in soft soil foundation treatment.     

Influence of spiral anchor composite foundation on seismic vulnerability of raw soil structure

A typical single-layer raw soil structure in villages and towns in China is taken as the research object. In the probabilistic seismic demand analysis, the seismic demand model is obtained by the incremental dynamic time history analysis method. The seismic vulnerability analysis is carried out for the raw soil structure of non-foundation, strip foundation, and spiral anchor composite foundation, respectively. The spiral anchor composite foundation can reduce the seismic response and failure state of raw soil structure, and the performance level of the structure is significantly improved. Structural requirements sample data with the same ground motion intensity are analyzed by linear regression statistics. Compared with the probabilistic seismic demand model under various working conditions, the seismic demand increases gradually with the increase of intensity. The seismic vulnerability curve is summarized for comparative analysis. With the gradual deepening of the limit state, the reduction effect of spiral anchor composite foundation on the exceedance probability becomes more and more obvious, which can reduce the probability of structural failure to a certain extent.     

Centrifuge modeling of offshore wind foundations under earthquake loading

The construction of large offshore wind turbines in seismic active regions has great demand on the design of foundations. The occurrence of soil liquefaction under seismic motion will affect the stability of the foundations and consequently the operation of the turbines. In this study, a group of earthquake centrifuge tests was performed on wind turbine models with gravity and monopile foundations, respectively, to exam their seismic response. It was found that the seismic behavior of models was quite different in the dry or saturated conditions. Each type of foundation exhibited distinct response to the earthquake loading, especially in the offshore environment. In the supplementary tests, several remediation methods were evaluated in order to mitigate the relatively large lateral displacement of pile foundation (by fixed-end pile and multi-pile foundation) and excessive settlement of gravity foundation (by densification, stone column, and cementation techniques).     

农居工程地基砂垫层隔震体系性能试验研究

砂垫层具有取材方便、造价低、施工简便的特点,为了更好地在农居工程建设中推广应用地基砂垫层隔震技术,通过制作农村房屋结构模型,进行地基砂垫层隔震体系与无隔震体系的大型振动台试验,研究了地基砂垫层隔震体系的隔震性能。基于结构加速度反应、结构位移反应和结构应变反应三个方面,对比分析无隔震试验和地基砂垫层隔震试验的结果,研究地基砂垫层隔震体系的隔震性能。结果表明:地基砂垫层隔震体系能够有效地减小上部结构的地震加速度反应、层间位移反应和应变反应,具有良好的隔震效果;输入地震动的量级是影响地基砂垫层隔震体系隔震效果的一个重要因素。     

公路简支梁桥的地震能量响应分析

利用有限元软件SAP2000建立了某公路简支梁桥的有限元模型,以7条典型强震记录为输入,研究了公路简支梁桥的地震能量响应及其分配规律。结果表明:①地基柔性效应对公路简支梁桥的地震能量响应及其分配规律的影响较小;②当场地土质变软时,地震总输入能、结构阻尼耗能和结构阻尼耗能比均呈递增趋势,而结构滞回耗能和结构滞回耗能比则不断减小,即地基土体作为桥梁动力系统的一部分,增大了系统阻尼,并分担了部分非弹性变形;③随着PGA增大,输入结构的地震能量也增加,导致塑性铰的非弹性变形增加,即结构滞回耗能和结构阻尼耗能增大。     

Influence of geometry and of the constitutive law of the supporting columns on the seismic response of a hyperbolic cooling tower

The supporting columns and their foundation influence the cooling tower's seismic response decisively. At the same time, they represent the most vulnerable part of the structure. To determine the optimum seismic design, the influence of the geometry of the columns is investigated parametrically. The dominant parameter, the in-plane angle of inclination, should be selected to be as large as possible. For a specific geometric configuration, the response for increasing seismic excitation is studied. The constitutive laws of the concrete and of the reinforcement steel in the columns as well as slipping and lift-off of the foundations are incorporated into a non-linear analysis. The largest reduction in response results from the behaviour of the columns in tension. The tower can thus withstand much larger seismic excitations than those indicated in a linear analysis. Slipping and lift-off, which develop for extreme earthquakes only, play a less important role, even when occurring in the entire foundation.     

斜拉桥地震破坏的计算研究

地震曾破坏了大量的桥梁结构。然而，尽管目前世界上斜拉桥数目正以指数函数规律增长，但还没有任何斜拉桥经历过强地震，斜拉桥可能的地震破坏形式、破坏机理还是一个有待探索的领域。本文对本世纪几次大地震中严重破坏的桥梁进行损坏部分的震害原因分析，总结出一般桥梁结构地震破坏机理及破坏形式。利用大型结构分析程序ＭＳＣ／ＮＡＳＴＲＡＮ，对斜拉桥地震反应特征进行了分析，并在综合考虑结构地震反应的三维性、行波效应、非