台湾海峡地震余震及汕头市地基震害初步预测

根据灰色系统的一阶灾变模型，对台湾海峡７．３级地震的ＭＬ≥５．０级余震进行了预测，给出了未来可能的发震时间；根据汕头市国际大酒店地下室记录的这次地震的地面加速度时程，反演计算得到了基岩加速度时程，据此进行了地震反应分析，并对地基震害作了分区。     

1995年日本阪神地震近场强地面运动的特征

分析了１９９５年日本阪神地震（Ｍ７．２）近场强地面运动特征．结果表明，震中附近地区水平加速度峰值达６００～８００ｇａｌ，竖向加速度峰值达３００ｇａｌ，强地面运动持续时间为１０～１５ｓ，加速度时程的卓越周期为０．２～２ｓ．谱分析的结果还表明，在较宽的频带范围内该次地震的近场地震动的强度都比较大．     

大跨度悬索桥振动控制的双向TMD参数研究

用时域内的逐步积分法对无ＴＭＤ和带有不同参数ＴＭＤ的悬索桥进行了时程分析,结果表明,ＴＭＤ的参数对结构的动力特性的抑振效果均有较大的影响,ＴＭＤ的频率不仅影响振动控制的效果也影响结构的表观阻尼,扭转振动的控制可由侧向ＴＭＤ来实现。     

大跨度悬索桥环境振动的双向TMD控制

对带有双向ＴＭＤ系统的大跨度悬索桥进行了空间非线性时程响应分析,探讨了ＴＭＤ参数对抑振效果的影响,分析结果显示,ＴＭＤ能够增大结构的表观阻尼,有较大的能量耗散作用,加速振荡的衰减,有效地抑振结构的振动,这表明,用ＴＭＤ技术对大跨度悬索桥的环境振动实施被动控制是一个有效的方法。     

Varotsos及合作者应用的地震和震级数据的不准确性

ＶＡＮ所宣称的成功预报的地震是以Ｍｓ的大小为基础的。然而，它们比ＭＳ的权威出处震中原始测定公布的震级平均大１．０级。差异产生的原因是因为ＶＡＮ计算的ＭＳ是以ＭＬ换算而来，用了不正确的换算公式ＭＳ＝ＭＬ＋０．５。根据希腊ＰＥＤ的数据，用最小平方回归得出ＭＳ＝１．５ＭＬ＝２．６２，或ＭＳ＝１．８２ｍｂ－４．１６。     

强震地面运动的混沌特性分析

引入非线性动力学理论和混沌时间序列分析方法考察强震地面运动加速度时程的非线性特征。首先采用功率谱分析法、主成份分析法和Cao方法定性判断地震动加速度时程具有混沌特性,然后应用混沌时间序列分析方法定量计算了30条地震动加速度时程的三个非线性特征参数。计算表明,这些地震动时程的关联维数为2．0～4．0的分数维,Kolmogorov熵K2为大于零的有限正值,最大Lyapunov指数在o～i．0之间。结果说明,强震地面运动具有混沌特性,地震动的高度不规则和复杂性是地震过程强非线性的反映。     

近场强地震动模拟中对破裂的方向性效应和上盘效应的表达.

为了模拟近场强地震动，采用了基于有限断层模型的一种随机合成方法．震源破裂面被剖分成一定数量的子源，总的地震矩分成数量更多的子震的矩．一给定子源中一次子震引起的场地地震动的傅氏谱，通过考虑点源的谱、随着距离的衰减、能量耗散及近地表效应等导出．据此幅值谱和一个随机相位谱，并与一个时程包络函数结合，合成一个子震时程．将各子源中各个子震引起的所有时程叠加，得出场地的地震动时程．叠加中，各子震时程之间的时滞，据子震发震时差和子源至场地的距离差别引起的时差确定．对一个设定地震，选用4个断层面倾角，计算了近场21个地点的地震动．结果表明，本文方法可以很好地表达破裂的方向性效应和上盘效应．为了验证方法的可靠性，对1994年美国北岭地震中3个近断层台站MCN，LV3和PCD模拟的地震动与实际记录的加速度反应谱和时程作了比较．      

过去2．5百万年间黄土与深海古气候变化周期的对比分析

过去２．５Ｍａ间宝鸡黄土粒度记录和深海氧同位素曲线的Ｆｏｕｒｉｅｒ功率谱分析结果表明：在１．６Ｍａ以上部分，两者的周期性相当一致；但在２．５-１．６Ｍａ时段，两者的周期记录差异很大．深海氧同位素曲线记录的全球大陆冰量变化周期以与地轴倾斜度有关的０．０４１Ｍａ为主，而黄土粒度曲线记录的内陆风力强度变化周期则以与偏心率有关的０．４Ｍａ和０．１Ｍａ为主．造成这种异同的原因是：在２．５-１．６Ｍａ时段，内陆风力强度变化主要受地球轨道变化驱动，而从１．６Ｍａ前开始，转而主要受全球大陆冰量变化驱动．     

地震作用下剪切型结构的可靠性分析

本文利用Ｍｏｎｔｅ－Ｃａｒｌｏ数字模拟原理，以同一集系的多条地震加速度时程为输入，利用作者提出的考虑结构低周疲劳特性，首超破坏与累积损伤破坏合一的地震破坏准则，通过时程反应分析，直接统计反应量的随机特征来寻求结构的抗震可靠度，避免了建立地面运动简化模型和求解强非线性随机振动问题带来的近似与误差，在可靠度分析中采用了一次二阶矩的验算点法，将结构抗震可靠性统一到可靠指标β上来分析，便于在工程中实际运用     

不同阻尼体系地震能量输入及阻尼能量耗散计算分析

本文给出了复阻尼体系地震能量输入及阻尼能量耗散计算公式。利用天津、E1Centro、迁安记录及Mexico地震Cale记录计算了复阻尼及粘性阻尼体系的地震能量输入及阻尼能量耗散,并绘制了相应的时程曲线。计算所用阻尼比取0．1及0．05,周期分别取0．3s,0．5s,1s,1．5s及5s。通过计算我们观察到,除迁安记录外,在其它几个地震作用下,对固有周期小于1s的短周期结构,复阻尼体系能量输入及阻尼能量耗散时程曲线值高于相应的粘性阻尼体系(对迁安记录固有周期需小于0．5s)。对中周期结构,两组曲线相近,对于长周期结构,复阻尼体系的能量时程曲线值低于相应的粘性阻尼体系值。对于每个地震记录,有一个临界值,体系的固有周期小于此值时,不同阻尼模型的能量输入、阻尼能量耗散时程曲线值无大差异,当周期大于此值时,不同阻尼模型的能量输入及阻尼能量耗散时程曲线差异较大。复阻尼体系对周期的敏感程度远大于粘性阻尼体系。当周期不变,阻尼比增大时,在峰值点之后,复阻尼体系能量时程曲线基本无大的变化,粘性阻尼体系能量时程曲线有抬高趋势。     

Generation of Time History Compatible with Multi-Damping Response Spectra

Based on the method developed by M. Hirasawa and M. Watabe (1992), the authors deduced the related mathematical formulas. Taking an artificial ground motion compatible with single-damping as the original time history, a small corrected time history was calculated by solving linear equations using a singular value decomposition method. We performed iteration to obtain the simulated earthquake motion compatible with multi-damping within a certain accuracy. The influences of selective matching frequencies are discussed preliminarily. Although the current criterion still has no explicit demand on different numbers of matching frequencies for various damping factors, it should be taken into account in practice.     

Artificial ground motion compatible with specified ground shaking peaks and target response spectrum

1 Introduction Time history analysis is usually needed not only for the seismic design of important structures, such as nuclear plants, large concrete dams and super high-rise buildings, but also for seismic performance based design. Performance-based design requires tha knowledge of the entire process of nonlinear seismic responses of structures be obtained, which depends on the ground motion time history as input for this analysis. However, because the observed strong-motion recordings are l…     

基于复阻尼理论的混合结构Rayleigh阻尼模型

混合结构的阻尼矩阵不满足经典阻尼条件,导致传统的模态叠加法无法适用。复阻尼理论无法适用于时域计算,其自由振动响应中存在发散现象。针对混合结构的阻尼矩阵非比例性和复阻尼理论的时域发散性,基于频域等效原则构建了求解Rayleigh阻尼系数的数学优化模型,进而得到与复阻尼理论等效的Rayleigh阻尼运动方程。算例分析表明:依据位移时程响应和结构等效阻尼比可证明Rayleigh阻尼运动方程的正确性。基于本文研究成果,等效复阻尼理论的混合结构Rayleigh阻尼运动方程可直接采用模态叠加法,结合其确定的结构等效阻尼比,为混合结构的振型分解反应谱法提供理论依据。     

平稳地震动过程具分段均布随机频率的谱拟合模型

本文首先针对平稳随机地震动谱拟合问题建立了一个统一的谱拟合模型,在此基础上,提出了一新的具分段均布随机频率的拟合模型,并与几类常用的谱拟合模型进行了比较研究,指出拟合模型的频率特性对拟合功率谱与反应谱具有显著的影响。算例表明,当结构的自振频率与拟合模型的分量频率接近时,计算的响应值明显偏大,对于小阻尼情况,这一现象更为明显。     

Appropriate viscous damping for nonlinear time‐history analysis of base‐isolated reinforced concrete buildings

There is no consensus at the present time regarding an appropriate approach to model viscous damping in nonlinear time‐history analysis of base‐isolated buildings because of uncertainties associated with quantification of energy dissipation. Therefore, in this study, the effects of modeling viscous damping on the response of base‐isolated reinforced concrete buildings subjected to earthquake ground motions are investigated. The test results of a reduced‐scale three‐story building previously tested on a shaking table are compared with three‐dimensional finite element simulation results. The study is primarily focused on nonlinear direct‐integration time‐history analysis, where many different approaches of modeling viscous damping, developed within the framework of Rayleigh damping are considered. Nonlinear direct‐integration time‐history analysis results reveal that the damping ratio as well as the approach used to model damping has significant effects on the response, and quite importantly, a damping ratio of 1% is more appropriate in simulating the response than a damping ratio of 5%. It is shown that stiffness‐proportional damping, where the coefficient multiplying the stiffness matrix is calculated from the frequency of the base‐isolated building with the post‐elastic stiffness of the isolation system, provides reasonable estimates of the peak response indicators, in addition to being able to capture the frequency content of the response very well. Furthermore, nonlinear modal time‐history analyses using constant as well as frequency‐dependent modal damping are also performed for comparison purposes. It was found that for nonlinear modal time‐history analysis, frequency‐dependent damping, where zero damping is assigned to the frequencies below the fundamental frequency of the superstructure for a fixed‐base condition and 5% damping is assigned to all other frequencies, is more appropriate, than 5% constant damping. Copyright © 2013 John Wiley & Sons, Ltd.     

拟合加密控制点反应谱的地震动时程合成

在传统地震动反应谱频域拟合方法的基础上,提出了拟合加密控制点目标反应谱的地震动合成方法,并在此基础上利用实际算例与传统方法进行了对比.本文方法在每次迭代调整过程中均考虑了对地震动加速度强度包络函数的模拟,并且对调整后的地震动进行了基线校正,从而确保最终合成的地震动时程既能以一定精度拟合加密目标反应谱,又能满足目标包络函数的要求,同时保证积分所得位移曲线不产生基线漂移.数值算例分析结果表明,本文方法与传统非加密控制点目标谱拟合方法相比,在地震动时程曲线合成、反应谱拟合精度以及收敛速度等方面均具有一定的优势.      

A modified method for simulating non-stationary multi-point earthquake ground motion

A spectral-representation-based algorithm is proposed to simulate non-stationary and stochastic processes with evolutionary power,according to a prescribed non-stationary cross-spectral density matrix. Non-stationary multi-point seismic ground motions at different locations on the ground surface are generated for use in engineering applications. First,a modified iterative procedure is used to generate uniformly modulated non-stationary ground motion time histories which are compatible with the prescribed power spectrum. Then,ground motion time histories are modeled as a non-stationary stochastic process with amplitude and frequency modulation. The characteristic frequency and damping ratio of the Clough-Penzien acceleration spectrum are considered as a function of time in order to study the frequency time variation. Finally,two numerical examples are presented to validate the efficiency of the proposed method,and the results show that this method can be effectively applied to the dynamic seismic analysis of long and large scale structures.     

Soil and structure damping from single station measurements

In seismology and seismic engineering soils and structures are modeled as oscillators characterized by modal (resonance) frequencies, shapes and damping. In 1973 Cole proposed the RandomDec technique to estimate both the damping and the fundamental mode of structures from the recorded time series at a single point, with no need for spectral analyses. Here we propose a number of modifications to the original RandomDec approach, that we group under the name DECÓ, which allow to determine the damping as a function of the frequency and therefore the damping of all the vibration modes. However, the motion of structures is so amplified at the resonance frequencies that detecting the characteristic parameters by recording ambient vibrations is relatively easy. More interesting is to apply the DECÓ approach to the soil in the attempt to estimate the mode damping from single station measurements. On soils, the resonance frequencies are normally identified as peaks in the horizontal to vertical spectral ratios of microtremors. However, at these frequencies what is observed is a local minimum in the vertical spectral component, sometimes associated to local maxima in the horizontal components, whose visibility depend on the specific amount of SH and Love waves at the site. The determination of soil damping is therefore a much less trivial task on soils than on structures. By using microtremor and earthquake recordings we estimate the soil damping as a function of shear strain and observe that this is one order of magnitude larger than what is measured in the laboratory on small scale samples, at least at low-intermediate strain levels. This has severe consequences on the numerical seismic site response analyses and on soil dynamic modeling.     

厚层淤泥质粉质黏土的动力特性参数对地表地震动参数的影响

以天津滨海某软弱场地为例,在不同强度不同相位的地震动时程输入下,用等效线性化技术考虑土的动力非线性特性,计算水平成层场地的地震反应,研究天津地区厚层淤泥质粉质黏土的动剪模量比和阻尼比与剪应变幅值的关系曲线的变异性对深软场地地表峰值加速度及其反应谱的影响。结果表明:(1)在阻尼比较均值加减一倍标准差对地表地震动参数变化影响不大;(2)在动剪模量比均值增加或减1倍标准差,对2%超越概率水平下地表峰值加速度影响显著,对应地表峰值加速度可能增加或减小20%~30%,其地表反应谱谱型也有变高变瘦或变矮变胖的趋势;(3)在动剪切模量均值减1倍标准差时,对10%超越概率水平下的地表峰值加速度的影响比较显著,减小幅度在15%左右,反应谱也存在变矮变胖的趋势;在动剪切模量均值加1倍标准差时,对10%超越概率水平下的地表地震动参数影响不明显;(4)在动剪切模量或阻尼比均值加减1倍标准差时,对63%的地表地震动参数影响均不明显。     

A numerical study of damping

Diagonal damping matrices were computed for three systems which have non-proportional damping matrices. These diagonal damping matrices were computed on three bases, as follows: 1. After normalizing the equations of motion by the modal matrix, the diagonal terms are retained ignoring the non-diagonal terms. 2. Diagonal damping matrix is established by the optimization algorithm which minimizes the mean square error of the frequency response. 3. Diagonal damping is determined from the normalized differential equation by matching the peaks of the coupled and uncoupled system. The frequency responses for the three cases of one of the three systems are presented together with a comparison of the energy dissipation.