近断层脉冲型地震动的模拟方法

近断层地震动的向前方向性效应和永久地面位移效应导致其速度时程表现为长周期、大峰值的速度脉冲,其位移时程表现为阶跃型脉冲. 针对这些特点,同时考虑向前方向性效应和永久地面位移效应,提出了一种简单的、连续函数形式表达的等效速度脉冲模型. 在该模型中,包含描述速度脉冲周期、峰值和形状的5个待定参数,方便了实际脉冲型地震记录的拟合及模拟. 等效速度脉冲模型只包含单一的频率成分,不能反映脉冲型地震记录的高频成分. 根据对11次地震28条地震记录的分析, 速度脉冲的频率一般小于1Hz. 因此, 在模拟脉冲型地震记录的方法中,分别模拟低频脉冲成分和高频成分,并将两者叠加生成近断层脉冲型地震动的模拟时程.      

脉冲型近断层地震动作用单自由度体系响应分析

近断层前方向性效应地震动含有高幅值,短持时的速度脉冲,与远场地震动相比存在显著差异。本文根据所选取的40条近断层地震波记录,用小波分析方法将原始记录分解为脉冲波部分和高频波部分,对弹性和非弹性单自由度体系进行分析,得出了以下结论:对于弹性体系,大约0.484倍的速度脉冲周期可以作为临界周期,脉冲波部分将对固有周期大于临界周期的结构的响应起主导作用,反之,高频波部分将会产生显著影响;对于非弹性体系,仅仅用等效速度脉冲方法模拟近断层地震动的计算精度将会受到延性系数?的影响,随着延性系数的增加,脉冲波部分满足精度要求的结构固有周期范围将明显缩小,并且向较低周期范围偏移;仅用等效速度脉冲模型来模拟近断层地震动具有一定的局限性。     

Study on equivalent velocity pulse of nearfault ground motions

Introduction By analyzing earthquake motions, we could find that earthquake motions near the causativefault have two characteristics. One is the remarkable directivity effect. The amplitude of thefault-normal component is larger than that of the fault-parallel one; the other is obvious pulse mo-tions. Bertero, et al (1977) studied the earthquake records of the 1971 San Fernando earthquake.They first pointed out that some ground motions recorded near the causative fault is characterizedb…     

近断层地震动等效速度脉冲研究

近断层地震动对地表结构物造成严重的破坏，它具有明显的方向性和脉冲型特征. 在速度时程中含有大幅值、长周期的脉冲波，对结构响应影响很大. 为简化计算和分析的需要，在既有的等效速度脉冲模型的基础上，建议了较为合理等效速度脉冲模型. 在充分收集脉冲型近断层地震记录的基础上，对等效速度脉冲模型的脉冲周期、脉冲强度及卓越脉冲数等参数进行了研究，并与以往研究者的结果进行比较，以利于近断层区结构的抗震设计.      

近断层速度脉冲与震源机制的关系浅析

本文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与滑冲效应,并通过中国台湾集集地震的脉冲记录,分析了断层破裂方向和位移大小等震源参数对脉冲强度的影响。此外,基于有限移动源理论,说明了断层辐射与速度脉冲分布的关系,并探讨了利用运动学震源模型研究近断层地震动对速度脉冲影响的技术路线;评述了7种典型的等效速度脉冲模型,建议进一步研究等效速度脉冲函数与震源机制之间的关系。最后,简述了不同类型的断层引起速度脉冲的差异,并推测了产生脉冲型地震动的下限条件,同时展望该研究在地震预警方面的可能性。     

Directivity pulses in near-fault ground motions—I: Identification,extraction and modeling

In ensuring structural safety against near-fault pulse-type ground motions it is of critical importance that sufficient recorded motions of this type are available and that suitable synthetic motions can be simulated for those situations where the recorded motions are insufficient or non-existent. To this end, an objective criterion is developed for the directivity pulse-type motions, to identify such motions from the available suite of recorded ground motions. This criterion is based on the value of maximum fractional signal energy contribution by any half-cycle of the velocity time-history. For the simulation of directivity pulse-type motions, it is proposed to estimate and superimpose directivity pulse(s) on a non-pulse type motion. An algorithm is developed to extract the directivity pulse features from a pulse-type accelerogram via its repetitive smoothening, and based on the pulses extracted from a database of 91 records two mathematical functions are proposed to model the directivity pulses. It is found that the amplitude and dominant Fourier period of the expected velocity pulse may be sufficient to generate the shapes of the expected acceleration and velocity pulses.     

钢筋混凝土结构在近场脉冲型地震作用下的试验分析

选择了集集地震中三条含有大脉冲的脉冲型近场地震记录，并截取其加速度峰值所在的脉冲及相邻两个脉冲部分形成新的记录，将其作为地震输入，对两个完全相同的钢筋混凝土模型进行振动台台模拟试验，对试验结果进行了分析，比较两个模型的宏观破坏、模态、顶层位移，得出近场脉冲型地震动会引起钢筋混凝土结构严重的破坏，截取的主震脉冲时程对结构的影响效应在一定程度上完全可以等同于整幅地震动时程。     

The rocking response of large flexible structures to earthquakes

The rocking response of structures subjected to strong ground motions is a problem of ‘several scales’. While small structures are sensitive to acceleration pulses acting successively, large structures are more significantly affected by coherent low frequency components of ground motion. As a result, the rocking response of large structures is more stable and orderly, allowing effective isolation from the ground without imminent danger of overturning. This paper aims to characterize and predict the maximum rocking response of large and flexible structures to earthquakes using an idealized structural model. To achieve this, the maximum rocking demand caused by different earthquake records was evaluated using several ground motion intensity measures. Pulse-type records which typically have high peak ground velocity and lower frequency content caused large rocking amplitudes, whereas non-pulse type records caused random rocking motion confined to small rocking amplitudes. Coherent velocity pulses were therefore identified as the primary cause of significant rocking motion. Using a suite of pulse-type ground motions, it was observed that idealized wavelets fitted to velocity pulses can adequately describe the rocking response of large structures. Further, a parametric analysis demonstrates that pulse shape parameters affect the maximum rocking response significantly. Based on these two findings, a probabilistic analysis method is proposed for estimating the maximum rocking demand to pulse-type earthquakes. The dimensionless demand maps, produced using these methods, have predictive power in the near-field provided that pulse period and amplitude can be estimated a priori. Use of this method within a probabilistic seismic demand analysis framework is briefly discussed.     

基于分解方法的脉冲型地震动非弹性反应谱分析

本文旨在分析脉冲型地震动中不同频率的地震动分量对于原始地震动幅值及其非弹性反应谱的影响.首先以近期12次大地震的53条典型脉冲型地震动为数据基础,基于多尺度分解方法获取脉冲型地震动中的高频分量和低频分量.为与传统方法对比,本文获取了能够表征地震动脉冲特性的卓越分量及滤除卓越分量的剩余分量.然后对比分析原始地震动和4种地震动分量的幅值特征和非弹性反应谱的特性,以讨论地震动分量对原始地震动幅值参数及其非弹性反应谱的影响.最后结合简谐地震动模型和地震动分量的性质,讨论脉冲型地震动非弹性反应谱诸多特征的产生原因.分析发现,低频分量不仅是控制脉冲型地震动速度和位移幅值的主要因素,其对原始地震动的加速度幅值也具有不可忽略的影响.低频分量也是导致脉冲型地震动非弹性位移比谱偏大以及强度折减系数谱偏小的直接原因,从而造成结构在脉冲型地震动作用下需要具有更大的非弹性位移以及更高的强度需求.     

汶川地震近断层地震动作用下 结构地震响应特征分析

研究了具有不同自振特性的建筑结构在近断层速度脉冲型及非速度脉冲型地震动作用下的结构层间变形分布,揭示了近断层速度脉冲对工程结构地震响应的特殊影响. 从汶川M_S8.0地震近断层强震记录中选取两组典型速度脉冲型记录和非脉冲型记录, 根据确定的目标地震动强度水平,利用时域叠加小波函数法对选择的强震记录进行调整, 使之与目标地震动水平对应的加速度反应谱保持一致, 以此作为结构地震反应分析的地震动输入. 选取具有不同自振特征的3层、11层和20层典型钢筋混凝土框架结构, 建立有限元分析模型, 分别计算在速度脉冲型与非速度脉冲型记录作用下这些结构层间变形分布. 研究表明,速度脉冲型记录与非速度脉冲型记录作用下结构层间变形有明显差异, 且与结构自振特征有关.就低层结构的层间变形而言, 非速度脉冲型记录的影响较速度脉冲型记录的影响大. 随着结构自振周期的增加, 高阶振型的影响更加明显. 与非速度脉冲型记录相比,速度脉冲型记录的结构层间位移反应中值及离散程度较大. 速度脉冲型记录更容易激发高层结构的高阶振型, 产生较大的层间位移反应. 非速度脉冲型记录对中低层结构层间变形影响较大.因此, 在开展近断层结构地震影响评价时, 应考虑近断层速度脉冲的影响.      

垂直和平行于断层方向的脉冲参数特性分析

如何实现速度脉冲参数化并对其参数进行特性分析是一个值得深究的问题。从NGA-West2强震动数据库选取126组近断层脉冲型地震动记录,采用速度脉冲模型,基于最小二乘法拟合得到水平分量的速度脉冲模型特征参数,研究震级、断层距、场地类别对脉冲参数的影响,并对比垂直和平行断层分量脉冲参数的特性差异。结果表明:垂直断层分量的脉冲峰值随震级和断层距的变化速率均快于平行断层分量的相应值,场地条件对脉冲峰值随震级和断层距的变化规律具有较大影响;半脉冲周期与主脉冲周期存在强线性相关性,两者随震级的变化规律存在差异;当震级相同时,基岩场地上的脉冲峰值时刻小于土层场地;对于集集地震来说,较小的形状参数主要分布于靠近破裂断层处,随着断层距的增大,不同分量之间的脉冲形状参数的差异也随之变大。     

An alternative construction of normalized seismic design spectra for near-fault regions

This paper presents a methodology for constructing seismic design spectra in near-fault regions.By analyzing the characteristics of near-fault pulse-type ground motions,an equivalent pulse model is proposed,which can well represent the characteristics of the near-fault forward-directivity and fling-step pulse-type ground motions.The normalized horizontal seismic design spectra for near-fault regions are presented using recorded near-fault pulse-type ground motions and equivalent pulse-type ground motions,which are derived based on the equivalent pulse model coupled with ground motion parameter attenuation relations.The normalized vertical seismic design spectra for near-fault regions are obtained by scaling the corresponding horizontal spectra with the vertical-to-horizontal acceleration spectral ratios of near-fault pulse-type ground motions.The proposed seismic design spectra appear to have relatively small dispersion in a statistical sense.The seismic design spectra for both horizontal and vertical directions can provide alternative spectral shapes for seismic design codes.     

近断层脉冲型地震动重要参数的识别方法

在拟合或合成近断层脉冲型地震动的研究中,速度等效脉冲中的参数需要依据实际地震动确定,因此,如何从地震动中识别这些参数就成为一个需要解决的问题.详细分析了已有脉冲周期和脉冲速度峰值的识别方法,分析结果表明这些方法均具有局限性,尤其是对于不规则地震动.提出了基于平滑后的地震动识别脉冲周期和脉冲速度峰值的方法,并验证了这种识别方法的有效性.结果表明: 提出的脉冲周期和脉冲速度峰值识别方法可以克服以往方法的局限性,可以实现脉冲周期和脉冲速度峰值识别的程序化.     

最强脉冲方向分量的周期特性及其影响因素分析

以NGA-West2强震数据库中的243组脉冲型地震记录为数据基础,按照我国场地分类标准对其进行分类,探讨场地条件、断层类型及断层距等对最强脉冲方向分量脉冲周期(T_P)随震级(M_W)变化规律的影响。结果表明:(1)最强脉冲方向分量与垂直断层走向分量的T_P具有强线性相关性,场地条件对二者周期相关性的影响不大;(2)场地土层的剪切波速越大,T_P随M_W增大的速率越快;(3)Ⅲ类场地的T_P值大于Ⅰ,Ⅱ类场地;(4)最强脉冲方向分量T_P随M_W的增大速率要快于垂直或平行断层走向分量;(5)在Ⅰ,Ⅱ类场地条件下,非走滑断层的T_P随M_W的增大速率快于走滑断层,这一规律在Ⅲ类场地条件下正好相反;(6)3类场地非近断层区域的T_P随M_W的增大速率快于近断层区域。建议在使用脉冲周期与震级关系的统计模型时应考虑场地条件、断层类型、断层距及不同国家场地分类标准差异性的影响。     

Study on elastic response of structures to near-fault ground motions through record decomposition

Accelerograms recorded near active faults have some important characteristics that make them different from those recorded in far-fault regions. High-frequency components in acceleration records and long-period velocity pulses are among notable specifications of such ground motions. In this paper, a moving average filtering with appropriate cut-off frequency has been used to decompose the near-fault ground motions into two components having different frequency contents: first, Pulse-Type Record (PTR) that possesses long-period pulses; second, the relatively high-frequency BackGround Record (BGR), which does not include large velocity pulses. Comparing the results with those extracted through wavelet analysis shows that moving average filter is an appropriate and efficient tool for near-fault records decomposition. The method is applied to decompose a suite of 91 selected near-fault records and the elastic response of structures is examined through their response to the decomposed parts. The results emphasizes that in contrast with ordinary far-fault earthquake records, response spectra of near-fault ground motions typically have two distinct local peaks, which are representatives of the high- and low-frequency components, i.e., BGR and PTR, respectively. Moreover, a threshold period is identified below which the response of structures is dominated by BGR while PTR controls the response of structures with periods longer than this period.     

Characterization of forward-directivity ground motions in the near-fault region

Ground motions close to a ruptured fault resulting from forward-directivity are significantly different than other ground motions. These pulse-type motions can place severe demands on structures in the near-fault region. To aid in the characterization of these special type of ground motions, a simplified parameterization is proposed based on a representative amplitude, pulse period, and number of significant pulses in the velocity–time history. Empirical relationships were developed for estimating the peak ground velocity (PGV) and period of the velocity pulse (T_v) of available forward-directivity motions. PGV in the near-fault region varies significantly with magnitude and distance. Additionally, the PGV for soil sites are systematically larger than those at rocks sites. T_v is a function of moment magnitude and site conditions with most of the energy being concentrated within a narrow-period band centered on the pulse period. Hence, lower magnitude events, which produce lower pulse periods, might produce more damaging ground motions for the stiff structures more common in urban areas.     

Obtaining estimates of the low-frequency ‘fling’, instrument tilts and displacement timeseries using wavelet decomposition

This paper proposes a novel, wavelet-based algorithm, which by extracting the low-frequency fling makes it possible to automatically correct for baseline shift and re-integrate down to displacement. The algorithm applies a stationary-wavelet transform at a suitable level of decomposition to extract the low frequency fling model in the acceleration time histories. The low frequency, acceleration fling should be as close as possible to the theoretical type A model, which after correction leads to a pulse-type velocity and ramp-like displacement after first and second integration. The wavelet transform essentially decomposes the seismic record using maximally flat filters and these together with a de-noising scheme form the core of this approach, which is to extract the lower and higher frequency sub-band acceleration, velocity and displacement profiles and correct for baseline shift. The correction automatically selects one time point from the low-frequency sub-band and then zeros the acceleration baseline after the fling. This implies pure, translation without any instrument tilts. Estimates of instrument tilt angles are also obtainable from the wavelet transformed time history as well as estimates of signal-to-noise ratios. The acceleration data used in this study is from station TCU068 in the near-fault region of the Chi-Chi, Taiwan, earthquake of 20th September 1999.     

近断层地震动最强速度脉冲方向分量特性研究

为了研究速度脉冲型地震动的最强速度脉冲方向分量与垂直或平行断层方向分量之间的特性差异,本文采用多分量速度脉冲识别方法从NGA-West2强震动数据库的236组近断层地震动速度脉冲记录中提取出最强速度脉冲方向分量,对其脉冲参数随震级M_W和断层距R变化的统计关系式进行了回归分析,并对比了最强速度脉冲方向分量与垂直或平行断层方向分量之间的特性差异。研究结果表明:当R＜30 km时,最强速度脉冲方向分量的脉冲幅值预测值较垂直或平行断层方向分量的预测值大,而当R＞30 km时,两种分量的脉冲幅值预测值相差不大,可以忽略;当M_W≤7.5时,最强速度脉冲方向分量的脉冲周期预测值比垂直或平行断层方向分量的预测值大,而当M_W＞7.5时,两种分量的脉冲周期预测值差异不大,可以忽略。      

基于多尺度分析方法的近断层地震动特性分析

近断层长周期地震动是一类较特殊的破坏性地震动.为了深入探讨近断层地震动的低频分量组成及其脉冲特性,基于小波理论中的多尺度分析方法提出了一种地震动分量分解方法,据此可将一条地震动分解成频率各不相同的多条分量.首先从频域、时域以及动态响应三个方面阐述了该分解方法的有效性和精确性.进而采用这种方法对近期12次大地震中的53条典型近断层地震动进行了分解,共获得266条地震动分量.分析了近断层地震动中的长周期分量随场地、断层距等影响因素的变化特征;再以卓越分量作为最大脉冲的简化模型,探讨了速度幅值和脉冲周期随震级、断层距的变化关系.结果表明：近断层长周期地震动主要由周期为0.2~2 s的分量组成;近断层土层场地地震动中的长周期分量比岩石场地多;在0~15 km的近断层区域,随断层距的增加,地震动中长周期分量的比重明显减小;卓越分量的速度幅值PGV_p约为原始地震动速度幅值PGV的0.6倍,且两者之间具有明显的线性关系;PGV_p随断层距的增大而减小,随震级的增大而增大;卓越分量周期T_p随震级的增大呈对数线性增大趋势.     

近场强地震动数值模拟的简化计算方法

近场强地震动除受场地条件的影响外,还受到震源破裂面上子源的空间分布特点、子源破裂先后顺序的强烈控制,基于数值格林函数法的近场强地震动数值模拟方法可以综合考虑震源、传播途径及局部场地条件的影响,对计算过程进行合理简化,分2步完成地震动模拟:第1步,在介质均匀区采用矩张量的解析解计算所有子源在盖层底面的位移,形成下一步有限元计算的输入场;第2步,在盖层介质不均匀区,结合局部人工透射边界技术,采用时、空解耦的波动显式有限元方法计算地表强地震动。在有限断层模型中,采用具有9个力偶的等效地震矩张量表达断层产状、滑动方向等的影响,采用Brune模型定义各子源的滑动时间函数,描述滑动的时、空不均匀分布特征,从而细化震源模型。通过对Northridge地震中4个基岩台站地表地震动的模拟结果和强震记录,验证了此简化计算方法的可行性