A new approximation for spectral velocity ordinates at short periods

Response spectrum methods in earthquake‐resistant design sometimes require information on the spectral velocity (SV) for a given single‐degree‐of‐freedom oscillator and specified seismic hazard. SV has been conventionally approximated as pseudo spectral velocity (PSV) in the case of lightly damped structures that are not too flexible. This study shows that the PSV approximation may lead to large overestimation errors when the structure is stiffer to the ground motion and the ground motion is a long‐period motion. It is also shown that a new approximation requiring the use of peak ground acceleration of the motion may significantly reduce these errors. Copyright © 2008 John Wiley & Sons, Ltd.     

Empirical evaluation of peak ground velocity and displacement as a function of elastic spectral ordinates for design

In the framework of the revision of Part 1 of Eurocode 8, this study aims at developing new empirical correlations to compute peak values of ground velocity (PGV) and displacement (PGD) as a function of elastic spectral ordinates for design. At variance with the expressions for PGV and PGD currently adopted in the Eurocode 8, based solely on the peak ground acceleration (PGA), in this paper reference is made to spectral ordinates of the short and intermediate period range, namely S_s, which is the constant acceleration spectral ordinate, and S₁, which is the spectral ordinate at 1 s. On the one hand, a relationship between PGV and the product (S_s?S₁) was found based on the regression analysis on a high‐quality strong‐motion dataset. On the other hand, the PGD was estimated by extrapolating to long periods the constant displacement branch of the elastic response spectrum, introducing a correlation between the corner period T_D and S₁. For this purpose, results of a long period probabilistic seismic hazard assessment study for Italy, encompassing low to high seismicity areas, were considered. Furthermore, verification of the proposed relationship against strong‐motion records was carried out, and differences justified in terms of the concept of uniform hazard spectrum.     

基于频谱分析的水体波浪—紊动流速分离方法

根据波浪影响下水质点运动速度的频谱分布特征,本文提出了一种用于分离水体波浪轨道流速与紊动流速的分离方法.该方法仅需通过一台流速仪对水体瞬时流速进行高频测量,便可对水体波浪—紊动流速进行分离,实现受波浪影响水体的紊动分析.通过验证,频谱分析法不仅能够用于实验室中规则波浪条件下水体波浪—紊动流速的分离,还能够对野外不规则波...     

A spatial cross‐correlation model of spectral accelerations at multiple periods

Many seismic loss problems (such as disruption of distributed infrastructure and losses to portfolios of structures) are dependent upon the regional distribution of ground‐motion intensity, rather than intensity at only a single site. Quantifying ground‐motion over a spatially‐distributed region therefore requires information on the correlation between the ground‐motion intensities at different sites during a single event. The focus of the present study is to assess the spatial correlation between ground‐motion spectral accelerations at different periods. Ground motions from eight well‐recorded earthquakes were used to study the spatial correlations. On the basis of obtained empirical correlation estimates, we propose a geostatistics‐based method to formulate a predictive model that is suitable for simulation of spectral accelerations at multiple sites and multiple periods, in the case of crustal earthquakes in active seismic regions. While the calibration of this model and investigation of its implications were somewhat complex, the model itself is very simple to use for making correlation predictions. A user only needs to evaluate a simple equation relying on three sets of coefficients provided here to compute a correlation coefficient for spectral values at two periods and at a specified separation distance. These results may then be used in evaluating the seismic risk of portfolios of structures with differing fundamental periods. Copyright © 2012 John Wiley & Sons, Ltd.     

Bi-normalized response spectral characteristics of the 1999 Chi-Chi earthquake

To develop uniform and seismic environment-dependent design spectrum, common acceleration response spectral characteristics need to be identified. In this paper, a bi-normalized response spectrum (BNRS) is proposed, which is defined as a spectrum of peak response acceleration normalized with respect to peak acceleration of the excitation plotted vs. the natural period of the system normalized with respect to the spectrum predominant period, Tp. Based on a statistical analysis of records from the 1999 Chi-Chi earthquake, the conventionally normalized response spectrum(NRS) and the BNRS are examined to account for the effects of soil conditions, epicentral distance, hanging wall and damping. It is found that compared to the NRS, the BNRS is much less dependent on these factors. Finally, some simple relationships between the BNRS for a specified damping ratio and that for a damping ratio of 5%, and between the spectra predominant period and epicentral distance for different soil types are provided.     

基于数值模拟的设定地震场地谱时程拟合方法

本文将确定性数值模拟方法与地震动预测方程相结合,提出了一种重大水电工程场址设定地震的地震动时程生成方法。该方法基于场址设定地震,首先采用地震动预测方程确定场址的场地相关反应谱;其次建立包含震源和场址的场地模型,通过确定性数值模拟方法生成场址地震动时程;最后对生成的场址地震动时程进行调整,使其反应谱与设计谱相一致,用于工程抗震分析。这一方法生成的地震动时程既考虑了震源机制、传播路径以及局部场地效应等物理背景,又与场地相关的设计地震反应谱保持一致,为重大工程抗震分析与评价提供了一种新的思路。     

计算地震动长周期反应谱的转换模型和方法

为减小长周期反应谱的计算误差,本文提出一个计算长周期反应谱的转换模型和与之相应的精确计算方法。该模型以地震动的速度和位移为输入荷载,有利于对荷载信号中的长周期噪声进行有效的控制,能够有效提升长周期地震动反应谱的计算精度和可靠性。     

近断层地震动的基本特征

初步分析了近断层速度脉冲的成因和特点,主要包括方向性效应、滑冲效应和上盘效应,并通过集集地震中27个近断层强震台的脉冲记录分析了断层破裂方向和滑移大小对地面运动峰值速度的影响。采用最小二乘法对速度脉冲的分布范围进行了回归分析,大于50 cm/s的速度脉冲主要聚集在断层距为10 km的近断层区域。对不同区域的三分量平均速度反应谱进行统计分析,表明近断层脉冲型地震动具有较大的特征周期和谱值,其中在垂直于断层走向的水平分量上尤为显著,这与断层剪切位错辐射效应的特征基本相符。针对脉冲型地震造成近断层地质灾害频发的现象,由共振效应分析了速度脉冲对边坡岩体的影响。近断层速度脉冲的研究可能对防震减灾、地震预警、震害评估有一定的参考意义。     

Response spectral relationships for rock sites derived from the component attenuation model

The seismological model was developed initially from the fundamental relationship between earthquake ground motion properties and the seismic moment generated at the source of the earthquake. Following two decades of continuous seismological research in the United States, seismological models which realistically account for both the source and path effects on the seismic shear waves have been developed and their accuracy rigorously verified (particularly in the long and medium period ranges). An important finding from the seismological research by Atkinson and Boore and their co‐investigators is the similarity of the average frequency characteristics of seismic waves generated at the source between the seemingly very different seismic environments of Eastern and Western North America (ENA and WNA, respectively). A generic definition of the average source properties of earthquakes has therefore been postulated, referred to herein as the generic source model. Further, the generic ‘hard rock’ crustal model which is characteristic of ENA and the generic ‘rock’ crustal model characteristic of WNA have been developed to combine with the generic source model, hence enabling simulations to be made of the important path‐related modifications to ground motions arising from different types of crustal rock materials. It has been found that the anelastic contribution to whole path attenuation is consistent between the ENA and WNA models, for earthquake ground motions (response spectral velocities and displacements) in the near and medium fields, indicating that differences in the ENA and WNA motions arise principally from the other forms of path‐related modifications, namely the mid‐crust amplification and the combined effect of the upper‐crust amplification and attenuation, both of which are significant only for the generic WNA ‘rock’ earthquake ground motions. This paper aims to demonstrate the effective utilization of the latest seismological model, comprising the generic source and crustal models, to develop a response spectral attenuation model for direct engineering applications. The developed attenuation model also comprises a source factor and several crustal (wave‐path modification) component factors, and thus has also been termed herein the component attenuation model (CAM). Generic attenuation relationships in CAM, which embrace both ENA and WNA conditions, have been developed using stochastic simulations. The crustal classification of a region outside North America can be based upon regional seismological and geological information. CAM is particularly useful for areas where local strong motion data are lacking for satisfactory empirical modelling. In the companion paper entitled ‘response spectrum modelling for rock sites in low and moderate seismicity regions combining velocity, displacement and acceleration predictions’, the CAM procedure has been incorporated into a response spectrum model which can be used to effectively define the seismic hazard of bedrock sites in low and moderate seismicity regions. This paper and the companion paper constitute the basis of a long‐term objective of the authors, to develop and effectively utilize the seismological model for engineering applications worldwide.     

面向设计应用的地震动空间相干函数模型

本文对现有的常用地震动空间相干模型进行了总结,提出了一个新的面向工程抗震设计应用的形式统一的地震动空间相干函数模型,在此基础上推导出了多点地震反应谱和功率谱计算所需要的振型组合系数的解析表达式,避免了耗费时间的数值积分运算。本文模型与计算方法使多点地震激励下结构响应的计算时间减低至积分方法的1/20以下,使多点地震反应谱方法和多点地震功率谱方法在计算时间方面实用化。     

A stochastic ground motion model with separable temporal and spectral nonstationarities

A fully nonstationary stochastic model for strong earthquake ground motion is developed. The model employs filtering of a discretized white‐noise process. Nonstationarity is achieved by modulating the intensity and varying the filter properties in time. The formulation has the important advantage of separating the temporal and spectral nonstationary characteristics of the process, thereby allowing flexibility and ease in modeling and parameter estimation. The model is fitted to target ground motions by matching a set of statistical characteristics, including the mean‐square intensity, the cumulative mean number of zero‐level up‐crossings and a measure of the bandwidth, all expressed as functions of time. Post‐processing by a second filter assures zero residual velocity and displacement, and improves the match to response spectral ordinates for long periods. Copyright © 2008 John Wiley & Sons, Ltd.     

应用微动H/V谱比法和台阵技术探测场地响应和浅层速度结构

为了快速而且廉价地获取北京市详细的场地响应和浅层速度结构,应用于地震动模拟和地震灾害预防,我们开展了微动观测技术和处理方法研究.本文利用2007年夏季北京五棵松地区进行的几个微动观测实验数据,使用单台H/V谱比法分析场地的卓越频率及其对应的放大系数,并对比了不同地震仪和观测时间对H/V曲线的影响;应用高分辨率F-K频谱分析方法从微动台阵数据中得到Rayleigh波的频散曲线并使用邻域算法反演出浅层速度结构.H/V结果表明该地区卓越频率在2.1～2.2 Hz之间,对应的放大系数下限约为3;利用微动H/V方法得到的场地卓越频率具有较高的稳定性.微动台阵反演结果给出了比较合理的波阻抗界面深度和层平均速度结构,认为地下80多米处的波阻抗界面是决定场地卓越频率和其场地放大系数的主要界面.本研究表明微动技术应用于评估城市地震场地响应和浅层速度结构是可行且易于实施的.     

A new formulation for a code-based vertical design spectrum

Consideration of vertical seismic design loads is important for long-span structural systems, short-period structures, and for some nonstructural components in the buildings. To this end, seismic design codes utilize alternative approaches to define vertical design spectrum at different levels of complexity: either as a fraction of horizontal design spectrum or using a separate functional form having features different than the horizontal spectrum. In all cases, a consistency between the horizontal and vertical design spectral ordinates is sought. In this paper, we consider a set of modern seismic design codes, horizontal and vertical ground-motion datasets, as well as ground-motion predictive models (GMPMs) to assess the accuracy of code-based vertical design spectrum expressions. We compute horizontal and vertical spectra for different earthquake scenarios (magnitude-distance-soil condition combinations) from the selected horizontal and vertical GMPMs for comparisons with their code-based (idealized) counterparts. Besides that, we study the vertical spectrum behavior from observed ground-motion data. Our observations suggest that the vertical design spectrum formulations by current codes do not fully explain the actual vertical spectral acceleration trends. We discuss the possible reasons behind the misrepresentation of vertical spectrum by the current code approach and introduce our own expressions to compute horizontal spectrum consistent vertical design spectrum from a comprehensive simulated dataset of correlated vertical and horizontal spectral ordinates.     

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。     

一种新的地震子波提取与层速度反演方法

粒子群优化算法是近十年发展起来的一种基于群智能的非线性全局最优化新方法.本文详细介绍了粒子群优化算法的基本原理,并将其应用到子波提取与层速度反演中.通过模拟数值算例,从不同角度研究了粒子群优化算法的可行性及其效率问题.试算结果表明,粒子群优化算法在不同分辨率、不同信噪比、不同相位子波合成的地震记录反演中效果明显.     

对应地震反应谱的当量功率谱密度函数的数值算法

提出根据地震反应谱曲线求解当量功率谱密度函数曲线的一种数值算法,为结构随机地震反应分析中确定和计算地面运动功率谱密度提供依据。在相对位移谱与结构相对位移响应峰值的均值之间建立联系;在现有迭代方法的基础上,对算法公式作进一步的推导和整理,将迭代计算转变为线性方程组的求解计算,进而避免迭代方法的不收敛。通过对数值计算结果的分析发现,由于规范反应谱曲线存在斜率突变,采用本文算法计算出的功率谱密度曲线在规范反应谱曲线的两端和分段转折点处会出现倍周期分岔甚至混沌现象。为此建议适当增加低频范围内离散频率点的数目,且采取整体光滑的反应谱曲线,从而提高计算结果的稳定性。     

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。     

A mixing-length model for predicting vertical velocity distribution in flows through emergent vegetation

Abstract

The vertical profiles of streamwise velocities are computed on flood plains vegetated with trees. The calculations were made based on a newly developed one-dimensional model, taking into account the relevant forces acting on the volumetric element surrounding the considered vegetation elements. A modified mixing length concept was used in the model. An important by-product of the model is the method for evaluating the friction velocities, and consequently bed shear stresses, in a vegetated channel. The model results were compared with the relevant experimental results obtained in a laboratory flume in which flood plains were covered by simulated vegetation.     

A simple ground‐motion prediction model for cumulative absolute velocity and model validation

Cumulative absolute velocity (CAV) is an important ground motion intensity measure used in seismic hazard analysis. Based on the Next Generation Attenuation strong motion database, a simple ground‐motion prediction equation is proposed for the geometric mean of as‐recorded horizontal components of CAVs using mixed regression analysis. The proposed model employs only four parameters and has a simple functional form. Validation tests are conducted to compare the proposed model with the recently developed Campbell–Bozorgnia (CB10) model using subsets of the strong motion database, as well as several recent earthquakes that are not used in developing the model. It is found that the predictive capability of the proposed model is comparable with the CB10 model, which employs a complex functional form and more parameters. The study also corroborates previous findings that CAV has higher predictability than other intensity measures such as the peak ground acceleration. The high predictability of CAV warrants the use of the proposed simple model as an alternative in seismic hazard analysis. Copyright © 2012 John Wiley & Sons, Ltd.     

基于性能抗震设计中的等效线性模型研究

对6种等效线性化方法等效模型进行分析和总结,研究等效线性化方法应用于桥梁结构基于位移抗震设计的可行性及计算过程.以箍筋体积配箍率和桥梁结构承载能力为评价因素,对钢筋混凝土桥梁墩柱采用不同等效线性化方法进行基于位移的抗震设计,研究了等效线性化方法及阻尼调整系数对抗震设计结果的影响.研究表明,各种等效线性化方法应用于基于位移的抗震设计其计算结果存在较大差异,等效阻尼比对基于位移的抗震设计结果影响显著,不同的阻尼调整系数得到的计算结果也不同.在所研究的6种等效线性化方法中,Kowalsky方法、Iwan方法和欧进萍方法计算误差较小,随着位移延性系数的增大,Kowalsky方法的计算误差减小.应用Eurocode8规范提供的阻尼调整系数计算得到的结果与真实值较为接近.建议采用Eurocode8规范提供的阻尼调整系数和Kowalsky方法进行基于位移的抗震设计.