A brief theory and computing of seismic ground rotations for structural analyses

The seismic ground rotations are important with respect to spatial structural models, which are sensitive to the wave propagation. The rotational ground motion can lead to significant increasing of structural response, instability and unusual damages of buildings. Currently, the seismic analyses often take into account the rocking and torsion motions separately using artificial accelerograms. We present an exact analytical method, proposed by Nazarov [15] for computing of three rotational accelerograms simultaneously from given translational records. The method is based on spectral representation in the form of Fourier amplitude spectra of seismic waves, corresponding to the given three-component translational accelerogram. The composition, directions and properties of seismic waves are previously determined in the form of a generalized wave model of ground motion. It is supposed that seismic ground motion can be composed by superposition of P, SV, SH- and surface waves. As an example, the dynamic response analysis of 25-story building is presented. Here recorded (low-frequency) and artificial (high-frequency) accelerograms were used; each of them includes three translational and three rotational components. In this structural analysis, we have clarified primarily conditions under which rotational ground motion should be taken into account. Next, we have calculated three rotational components of seismic ground motion. Then they were taken as additional seismic loads components for further seismic analysis of the building. Note, soil–structure interaction (SSI) is not considered in this study. For computing, we use the special software for structural analyses and accelerogram processing (FEA Software STARK ES and Odyssey software, Eurosoft Co., Russia). It was developed and is used in engineering practice in the Central Research Institute of Building Constructions (TsNIISK, Moscow, Russia).     

Approximate formulas for rotational effects in earthquake engineering

The paper addresses the issue of researching into the engineering characteristics of rotational strong ground motion components and rotational effects in structural response. In this regard, at first, the acceleration response spectra of rotational components are estimated in terms of translational ones. Next, new methods in order to consider the effects of rotational components in seismic design codes are presented by determining the effective structural parameters in the rotational loading of structures due only to the earthquake rotational components. Numerical results show that according to the frequency content of rotational components, the contribution of the rocking components to the seismic excitation of short period structures can never be ignored. During strong earthquakes, these rotational motions may lead to the unexpected overturning or local structural damages for the low-rise multi-story buildings located on soft soil. The arrangement of lateral-load resisting system in the plan, period, and aspect ratio of the system can severely change the seismic loading of wide symmetric buildings under the earthquake torsional component.     

不同尺度地形的SH波频率域响应特征研究

地形是影响实际地震记录的一个重要因素,理论计算已证明地形影响地震波的走时、能量、震相、波形等特征,同时地形也是产生尾波信号的重要原因.复杂且具有多尺度成分的地形对地震波传播的影响不仅与地震信号的频率有关,与其自身尺度成分也表现出强烈的依赖关系. 本文利用局域离散波数法模拟计算了不同尺度地形SH波的频率响应,得到地形尺度与频率之间似共振的响应关系. 这一关系可以更好地解释复杂地形对不同频率地震波传播的影响方式,同时可以指导数值模拟模型的构建,在关注的频率范围内合理取舍构造尺度成分,达到以最小的计算量得到最大的计算效益.     

Development of seismic force requirements for buildings in Taiwan

This paper describes static and dynamic procedures to calculate seismic demand specified by the current seismic design code for buildings in Taiwan,which was issued in 2005.For design levels with a return period of475 years,the design spectral response acceleration can be developed for general sites,near-fault sites and Taipei Basin.In addition,in order to prevent building collapse during extremely large earthquakes and yielding of structural components and elements during frequent small earthquakes,the ...     

六分量弹性波场数值模拟与分析

地震波传播过程中,质点的振动不仅包括三个独立的平移部分,还包括三个独立的旋转部分.本文基于一阶速度-应力弹性波方程,采用分裂完全匹配层(SPML)的吸收边界条件,推导了时间导数二阶精度和空间导数高阶精度的交错网格有限差分格式的弹性波速度与应力各分量计算公式,模拟了各向同性介质中均匀模型和层状模型下的六分量波场,并对二维各向同性层状模型下的三个分量地震记录做高分辨率线性拉东变换得到各自的频散能谱.数值模拟分析结果表明:(1)旋转分量的能量要比平动分量弱的多;(2)在平动分量上,面波能量强,频率低,反射P波能量较强,反射S波能量稍弱;在旋转分量上,反射P波能量很弱,S波能量强;(3)与平动分量相比,旋转分量的频散能谱效果更好,能看到基阶和完整的高阶面波,即旋转分量能反映更多的地下介质信息.     

基于混合波场地震动输入技术的近海场地地震反应分析方法

基于人工边界子结构模型,提出一种利用混合波场实现近海场地中地震P波和SV波垂直输入的方法.该方法中用于波动输入的混合波场由计算模型两侧截断边界的自由波场和底面边界的入射波场构成,避免了不规则近海场地的自由波场求解.同时采用基于声流体单元的流固耦合算法模拟场地-海水动力相互作用,利用流体介质人工边界和黏弹性人工边界单元模...     

Seismic response of light internal equipment in base-isolated structures

The seismic response of light secondary systems in a building is dependent on the response of the primary structural system to the seismic ground motion with the result that very high accelerations can be induced in such secondary systems. This response can be reduced through the use of aseismic base isolation which is a design strategy whereby the entire building can be decoupled from the damaging horizontal components of seismic ground motion by the use of some form of isolation system. The paper presents a theoretical analysis of the response of light equipment in isolated structures and a parallel experimental programme both of which show that the use of base isolation can not only attenuate the response of the primary structural system but also reduce the response of secondary systems. Thus, the design of equipment and piping in a base-isolated building is very much simpler than that for a conventionally founded structure: inelastic response and equipment-structure interaction need not be considered and multiple support response analysis is rendered unnecessary. Although an isolation system with linear elastic bearings can reduce the acceleration of the structure, it may be accompanied by large relative displacements between the structure and the ground. A system using lead-rubber hysteretic bearings, having a force-displacement relation which is approximately a bilinear loop, can reduce these displacements. A parallel experimental programme was carried out to investigate the response of light equipment in structures isolated using lead-rubber bearings. The experimental results show that these bearings can dissipate energy and limit the displacement and acceleration of the structure but are less effective in reducing the accelerations in the internal equipment. The results of both the analysis and the tests show that base isolation is a very effective method for the seismic protection of light equipment items in buildings.     

轨道交通地下结构抗震设计相关反应加速度法分析

通过梳理轨道交通地下结构抗震设计流程,明确抗震设计方法选择的原则和依据。在阐明反应加速度法基本原理基础上,引出土层地震反应分析的一维等效线性化法,并对影响土层地震反应计算结果关键参数进行讨论。针对一维土层地震反应得到的加速度时程提出合理拟合抛物线型二阶基线方程,可以消除加速度时程长周期随机分量引起的漂移问题,经自然积分可以得到消除基线漂移的位移时程;同时阐明数值分析软件Origin Pro有效解决积分得到位移时程的基线漂移问题并得到合理位移分布的途径和方法。以北京地铁3号线体育中心站为例,详细说明反应加速度法相关各个技术环节实现的方法和结果,并指出反应加速度法或位移法所依据的土层地震反应分析和位移时程的确定具有较强专业性,应做专项咨询分析工作;只有一维土层地震反应分析获得的加速度反应谱及时程客观合理,有限元计算所需相应地震动水平的等效剪切模量才可信;积分得到的位移时程需要有效消除基线漂移影响。只有上述相关结果真实客观可信,有限元计算结果才能模拟真实的土层-地下结构地震反应。     

地震波斜入射对高面板坝地震反应的影响

为研究地震波斜入射对高面板坝地震反应的影响,根据地震波动入射理论,采用FORTRAN进行波动荷载的编程计算,并与大型通用有限元软件ADINA相结合,实现基于黏弹性人工边界的地震波斜入射,研究P波和SV波分别以不同角度入射对高面板堆石坝地震反应的影响。结果表明,地震波斜入射时大坝地震动反应与垂直入射时明显不同,常规垂直入射的结果偏于不安全,因此在高面板坝地震反应分析和抗震设计中应考虑地震波斜入射的影响。     

多维多点激励下考虑支座摩擦滑移及结构碰撞的非规则桥梁抗震性能研究

以一座典型山区非规则梁桥为研究对象,建立了该桥梁多维多点激励下的多自由度动力计算模型,研究了该桥梁在多维多点激励下考虑支座摩擦滑移及结构碰撞等非线性因素时的抗震性能。研究结果表明:相比一维地震输入,多维地震可使结构的动力响应增加,桥墩底部弯矩需求增大;相比一致激励,多点激励可使得支座的位移需求增大,且地震波最后到达的桥墩上方支座位移最大;同时考虑多点激励和碰撞效应可使桥墩的弯矩需求增加;水平地震作用下,矮墩上部的支座容易滑动,且双向地震较单向地震更明显,三向地震输入较双向有所增强。因此,对山区非规则梁桥进行抗震设计时应有针对性地进行多维多点地震输入计算,找出结构的最大地震需求,以期指导设计。     

RESEARCH ON PASSIVE SERVO SEISMIC ROTATIONAL ACCELERATION SENSOR WITH LARGE DAMPING

Many strong motion records show that under the strong seismic vibration of, the torsional disfigurement of building structures is a common and serious damage. At present, there are no special sensors for measuring seismic rotation in the world. Most of the experts obtain rotational components through observing deformation, theoretical analysis and calculation. The theory of elastic wave and source dynamics also prove the conclusion that the surface of the earth will rotate when an earthquake occurs. Based on a large number of investigations and experiments, a rotational acceleration sensor was developed for the observation of the rotational component of strong ground motions. This acceleration sensor is a double-pendulum passive servo large-damped seismic rotational acceleration sensor with the moving coil transducer. When an earthquake occurs, the seismic rotational acceleration acts on the bottom plate at the same time. The magnetic circuit system and the middle shaft fixedly connected to the bottom plate follow the bottom plate synchronous vibration, and the moving part composed of the mass ring, the swing frame and the moving ring produces relative corners to the central axis. The two working coils mounted on the two pendulums produce the same relative motion with respect to the magnetic gaps of the two magnetic circuits. Both working coils at this time generate an induced electromotive force by cutting magnetic lines of force in the respective magnetic gaps. The generated electromotive forces are respectively input to respective passive servo large damper dynamic ring transducer circuits and angular acceleration adjusting circuits, and the signals are simultaneously input to the synthesizing circuit after conditioning. Finally, the composite circuit outputs a voltage signal proportional to the seismic rotational acceleration to form a seismic rotational acceleration sensor. The paper presents the basic principles of the rotational acceleration sensor, including its mechanical structure diagram, circuit schematic diagram and mathematical models. The differential equation of motion and its circuit equation are derived to obtain the expressions of the main technical specifications, such as the damping ratio and sensitivity. The calculation shows that when the damping ratio is much larger than 1, the output voltage of the passive servo large damping dynamic coil transducer circuit is proportional to the ground rotation acceleration, and the frequency characteristic of bandpass is wider when the damping ratio is larger. Based on the calibration test, the dynamic range is greater than or equal to 100dB and the linearity error is less than 0.05%. The amplitude-frequency characteristics, the phase-frequency characteristics and their corresponding curves of the passive servo rotational acceleration sensor are acquired through the calculations. Based on the accurate measurement of the micro-vibration of the precision rotating vibration equipment, the desired result is obtained. The measured data are presented in the paper, which verify the correctness of the calculation result. The passive servo large damping rotational acceleration sensor has simple circuit design, convenient operation and high resolution, and can be widely applied to seismic acceleration measurement of earthquake or structure.     

Seismic response of large-span spatial structures under multi-support and multidimensional excitations including rotational components

To achieve rational and precise seismic response predictions of large span spatial structures(LSSSs),the inherent non-uniformity and multidimensionality characteristics of earthquake ground motions should be properly taken into consideration.However,due to the limitations of available earthquake stations to record seismic rotational components,the effects of rocking and torsional earthquake components are commonly neglected in the seismic analyses of LSSSs.In this study,a newly developed method to extract the rocking and torsion components at any point along the area of a deployed dense array from the translational earthquake recordings is applied to obtain the rotational seismic inputs for a LSSS.The numerical model of an actual LSSS,the Dalian International Conference Center(DICC),is developed to study the influences of multi-support and multidimensional excitations on the seismic responses of LSSSs.The numerical results reveal that the non-uniformity and multidimensionality of ground motion input can considerably affect the dynamic response of the DICC.The specific degree of influence on the overall and local structural displacements,deformations and forces are comprehensively investigated and discussed.     

光纤振动传感之一:旋转测量技术及其地震学应用

地震波场可分解为三分量平动和三分量旋转运动.旋转分量包含重要的波场梯度信息,是地震波场重建的关键要素,但过去由于缺乏稳定的高灵敏度旋转测量仪器,它在不同的地震学应用中常被忽略.光纤旋转地震仪是率先打破测量仪器缺乏困境、最先实现商业化的旋转地震仪,也是目前最有发展前景的地震波旋转直接测量设备.光纤旋转地震仪基于Sagnac效应,并依托成熟的光纤陀螺技术实现振动的旋转分量测量.它具有纯光电传感不受平动影响的测量优势;并且能够在高灵敏度和宽频带旋转测量的基础下实现设备的小型化,有利于旋转测量的应用推广.因此,光纤旋转地震仪和传统的地震仪将形成互补,实现旋转和平动六分量(6C)的观测,更好地提取地震波场特征,提高振动监测能力,有效改善震源过程反演、地下结构成像和地震破坏机理研究等应用.本文主要介绍光纤旋转测量的基本原理、旋转地震学的应用及其潜在应用前景.     

隧道与临近地面结构动力相互作用规律数值模拟

通过建立不同场地条件下隧道-土-上部结构相互作用的模型,研究有、无上部结构存在、场地条件和地震波频谱特性对隧道-土-上部结构体系地震响应的影响.计算结果表明:(1)对于隧道等地下结构,其地震响应主要受场地条件影响,不同场地条件隧道动内力值相差巨大,设计时应引起足够重视,相比之下有、无邻近上部结构对其影响较小;(2)S波...     

Earthquake Response Analysis of Soil-reactor Plant-nuclear power Auxiliary Plant Interaction System

土-结构相互作用分析是核电结构抗震设计的重要环节,考虑到附属厂房可能导致反应堆厂房处于最不利工况状态,对地基土-反应堆厂房-核电辅助厂房结构相互作用体系地震响应进行研究。基于PASSI算法,提出显-隐式单元层计算方法,实现显、隐式交替计算,保持高效性的同时,提高计算稳定性。通过场地分析算例和土-结构相互作用分析算例,与ABAQUS软件计算结果进行对比,验证计算方法的可行性。以某核电站为对象,分析同一基础上相邻厂房对反应堆厂房地震响应的影响。研究结果表明,在基岩场地上,安全厂房通过基础和场地对反应堆厂房的作用较小,对反应堆厂房地震响应的影响较小;地震动输入下,燃料厂房和电器厂房加大了反应堆厂房位移峰值,减小了反应堆厂房加速度反应谱峰值,并使反应堆厂房顶部点加速度反应谱峰值向高频移动;与反应堆厂房共用同一基础的辅助厂房,应与反应堆厂房作为整体进行地震响应分析,至少应将与反应堆厂房相连的辅助厂房作为整体进行分析。     

利用数字化速度记录仿真加速度时程与合成场地设计地震波

研究利用测震台网数字化宽频带速度型记录仿真加速度时程,并通过提取其相位信息和拟合场地设计反应谱(目标谱)的方法来获得场地设计地震波的有关技术途径与应用实例,所提供的具体算式采用便于编程和利用快速傅氏变换(FFT)技术进行计算的离散化傅氏正逆变换的复数表达式。有关研究结果可拓宽现有地震观测资料的使用价值,减少地面运动模拟中人造地震波与原始地震记录存在的差异,并可使所合成的设计地震波满足给定的目标谱,且能较好地反映其非平稳性特征,因此在地震工程中具有实际的应用价值。     

徕远广场结构设计地震波的确定

选择合适的人造地震动时程是高层建筑采用时程分析法计算地震作用的基础。介绍了徕远广场结构设计地震波的确定方法及过程。鉴于各条地震波输入进行时程分析的结果的离散性,提出可以采用场地土层反应分析得到的地表加速度时程及按照《高层技术规程》设计规准谱拟合人造波作为结构设计地震波。     

大型结构地震反应值模拟中的波动输入

解耦的时域有限元数值模拟技术在考虑土－结构相互作用的大型结构地震反应分析中的应用日趋成熟。为完善其中的波动输入技术，本提出 了一种波动输入时步数值模拟的简便方法，替换对自由场的频域计算，从而使结构反应分析可以完全通过时步数值模拟实现。同时，通过数值实现，对这一实施方案的有效性进行了检验。     

A comparative analysis of seismic response of shallow buried underground structure under incident P,SV and Rayleigh waves

In this study, A time-domain seismic response analysis method and a calculation model of the underground structure that can realize the input of seismic P, SV and Rayleigh waves are established, based on the viscoelastic artificial boundary elements and the boundary substructure method for seismic wave input. After verifying the calculation accuracy, a comparative study on seismic response of a shallow-buried, double-deck, double-span subway station structure under incident P, SV and Rayleigh waves is conducted. The research results show that there are certain differences in the cross-sectional internal force distribution characteristics of underground structures under different types of seismic waves. The research results show that there are certain differences in the internal force distribution characteristics of underground structures under different types of seismic waves. At the bottom of the side wall, the top and bottom of the center pillar of the underground structure, the section bending moments of the underground structure under the incidences of SV wave and Rayleigh wave are relatively close, and are significantly larger than the calculation result under the incidence of P wave. At the center of the side wall and the top floor of the structure, the peak value of the cross-sectional internal force under the incident Rayleigh wave is larger than the calculation result under SV wave. In addition, the floor of the underground structure under Rayleigh waves vibrates in both the horizontal and vertical directions, and the magnification effect in the vertical direction is more significant. Considering that the current seismic research of underground structures mainly considers the effect of body waves such as the shear waves, sufficient attention should be paid to the incidence of Rayleigh waves in the future seismic design of shallow underground structures.     

关于地震动转动分量的研究

列举了多次地震中的地震动转动现象,概括了国内外对地震动转动分量的产生、传播、合成方法及其对结构的作用等方面的研究成果.还介绍了由地震动平动分量计算转动分量的弹性波动方法,并讨论了其局限性;还介绍了欧洲规范对转动分量的部分规定,指出有必要在结构抗震设计中考虑转动分量的作用.此外,在转动分量的产生、对结构的作用及数值模拟方面还做了一些假设与解释.