Relative energy zero ratio-based approach for identifying pulse-like ground motions

Pulse-like ground motions are capable of inflicting significant damage to structures. Efficient classification of pulse-like ground motion is of great importance when performing the seismic assessment in near-fault regions. In this study, a new method for identifying the velocity pulses is proposed, based on different trends of two parameters: the short-time energy and the short-time zero crossing rate of a ground motion record. A new pulse indicator, the relative energy zero ratio(REZR), is defined to qualitatively identify pulse-like features. The threshold for pulse-like ground motions is derived and compared with two other identification methods through statistical analysis. The proposed procedure not only shows good accuracy and efficiency when identifying pulse-like ground motions but also exhibits good performance for classifying records with high-frequency noise and discontinuous pulses. The REZR method does not require a waveform formula to express and fit the potential velocity pulses; it is a purely signal-based classification method. Finally, the proposed procedure is used to evaluate the contribution of pulse-like motions to the total input energy of a seismic record, which dramatically increases the seismic damage potential.     

一种改进的近断层脉冲型地震动模拟方法

本文基于小波包技术的随机地震动模拟方法,提出一种改进的参数化随机近断层脉冲型地震动模拟方法。然后,通过识别和提取近断层脉冲型地震动数据库中脉冲型地震动的特征参数,建立了基于震源、传播路径和场地特征等参数的脉冲模型参数预测方程。最后,通过模拟实际记录和误差分析检验了改进的模拟方法的有效性。结果表明:应用改进的模拟方法得到的地震动时程无论在波形、频率特性还是峰值上均与实际记录具有较好的一致性。改进的模拟方法在保留地震动时频非平稳性的基础上,能够有效地提高近断层脉冲型地震动的模拟效果,并且能够很好地体现脉冲型地震动的主要特征。     

1979年帝王谷地震速度脉冲型地震动的识别和初步讨论

以1979年MW6.5帝王谷地震为例,比较了小波变换法、峰点法(PPM)和零点法(ZVPM)识别近断层速度脉冲型强震记录的能力,三种方法识别出的脉冲峰值基本一致,脉冲周期略有差别.为分析速度脉冲的产生机制,包括产生时间、位置以及凹凸体的影响,借助频率-波数域格林函数法(FK法)合成近断层宽频带地震动,采用峰点法逐步识别...     

Efficient strong motion duration of pulse-like records for nonlinear structural analyses

The special interest produced by near-field directivity records and their effect on structural response has given a new significance in the velocity time history, its pulse-like content, and relevant parameters and indices. Recent research has shown that directivity pulses inherent in these records govern the linear and the nonlinear response of a wide range of structures. Based on this observation, it is suggested in this paper that a truncated ground motion, limited to the duration of the predominant velocity pulse, can be efficiently used to predict the structural response, instead of the base motion with the total duration, reducing significantly the required runtimes. The proposed methodology is verified for a series of medium to high rise reinforced concrete buildings, for which nonlinear time-history analyses are performed for a vast suite of pulse-like near-field records applied as base excitations with their total duration and the proposed truncated one. Comparison of the results for the response displacements and forces shows very good agreement, permitting the acceptance of the pulse duration as the efficient strong motion time interval of the original record, which determines the response and, thus, it can be used for nonlinear structural analyses.     

Detection of pulse-like ground motions based on continues wavelet transform

This paper implements a quantitative approach to detect pulse-like ground motions based on continues wavelet transform, which is able to clearly identify sudden jumps in time history of earthquake records by considering contribution of different levels of frequency. These analyses were performed on a set of time series records obtained in near-fault regions of Iran. Pulse-like ground motions frequently resulted from directivity effects in near-fault area and are of interest in the field of seismology and also earthquake engineering for seismic performance evaluation of structures. The results of this study basically help us to establish a suitable platform for selecting pulse-like records, while performance evaluation of structure in near-fault area will need to account. The period of velocity pulses as a key parameter that significantly affects structural response is simply determined by using a pseudo-period of the mother wavelets. In addition, the efficiency of different types of mother wavelets on classification performance and the features of detected pulse are investigated by applying seven different kinds of mother wavelets. The analyses indicate that the selection of most appropriate mother wavelet plays a significant role in effective extraction of ground motion features and consequently in estimation of velocity pulse period. As a result, the user should be aware of what is selected as a mother wavelet in the analysis. The comparisons given here among different mother wavelets also show the better performance of BiorSpline (bior1.3) basis from biorthognal wavelet families for the preferred purpose in this paper.     

分数阶S变换:第一部分,理论(英文)

S变换(ST)结合了小波变换和短时傅里叶变换的特性,对信号处理具有良好的局部时频聚集性.分数阶傅里叶变换是一种对非平稳信号分析的工具.本文基于分数阶傅里叶变换和S变换的思想,提出了分数阶S变换(FRST),将S变换从时间-频率域推广到时间-分数阶频率域,推导了它的逆变换公式并研究了其数学性质。分数阶S变换(FRST)具有分数阶傅里叶变换和S变换的优点,增强了S变换对信号处理的灵活性。相比于S变换,分数阶S变换能提高信号时频分辨能力。仿真实验证实了该方法的有效性。     

Deterministic and probabilistic representation of near-field pulse-like ground motion

The response and damage assessment of engineering structures under near-field ground motions is currently of great interest. Near-field ground motion with directivity focusing or fling effects produces pulse-like ground motion that has characteristics different from those of ordinary records. This paper develops simple deterministic and probabilistic models for near-field pulse-like ground motions. These models belong to the class of engineering models that aim to replicate some of the gross features observed in near-field records. The ground velocity is expressed as a steady-state function or a stationary random process modulated by an envelope function. Both models account for the non-stationarity and the multiple pulses in the ground velocity. While the deterministic model is similar to some of the models developed earlier, the probabilistic model facilitates handling uncertainties in the ground motion and variability in the structure's properties. For instance, this model combined with structural reliability methods can be used for reliability assessment of structures under near-field random ground motion. The reduction of the structural response by adding supplemental dampers is also investigated.     

基于小波变换的层间隔震结构地震响应分析

利用小波多分辨率分析将地震动加速度分解为多频段小波分量,并运用复模态方法推导其计算层间隔震体系在地震作用下的动力响应公式,讨论各频段地震信号及结构响应的能量分配。同时利用小波时频工具分析地震动能量在时频域内的分布对层间隔震结构响应的影响,进而为考察地震动非平稳性对层间隔震结构非线性分析的影响提供方法。利用小波分析的以上优势,对一典型层间隔震结构分别进行弹性和弹塑性分析,结果表明弹性体系在地震作用下的响应可由该地震波各小波分量的响应叠加而得,地震动能量在时间上的集中会对层间隔震结构响应产生不利影响。     

Pulse-like ground motion observed during the 6 February 2023 MW7.8 Pazarcık Earthquake (Kahramanmaraş, SE Türkiye)

In this study, we analyzed 100 three-component strong ground motion records observed within 200 km of the causative fault of the 6 February 2023 M_W7.8 Pazarcık (Kahramanmaraş) Earthquake in SE Türkiye. The wavelet method was utilized to identify and analyze the characteristics of pulse-like ground motions in the near-fault region, while considering the uncertainty of the pulse orientation during the analysis. Our investigation focused on the effects of the focal mechanism and rupture process on the spatial distribution, pulse orientation, and maximum pulse direction of the observed pulse-like ground motion. We also analyzed the amplitude and period of the observed ground pulses and the effect of long-period amplification on the ground motion response spectra. Our results indicated the following: (1) A total of 21 typical ground velocity pulses were observed during this earthquake, exhibiting complex characteristics due to the influence of the strike-slip mechanism and rupture directivity. Most ground pulses (17 out of 21) were recorded within 20 km of the fault, in a wide range of orientations, including normal and parallel to the fault direction. The waveforms exhibited unidirectional features, indicating the effects of left-lateral fault slip. Distinct pulses observed more than 20 km from the fault were mainly oriented normal to the fault. The waveforms were bidirectional with double- or multi-round trips as a result of rupture directivity. (2) The amplitudes of the observed pulses ranged from 30.5 to 220.0 cm/s, with the largest peak velocity of 220.0 cm/s observed at Station 3138. The pulse periods ranged from 2.3 to 14.5 s, with the longest pulse period of 14.5 s observed at Station 3116. The amplitude and period of the pulses observed during this earthquake were comparable to those of similar-magnitude global earthquakes. The amplitude of the pulses decreased significantly with increasing fault distance, whereas the pulse period was not significantly affected by the fault distance. (3) Compared with non-pulse records, the velocity pulse records had a pronounced amplification effect on the acceleration response spectra near the pulse period, with factors ranging from 2.1 to 5.8. The larger velocity pulses also significantly amplified the velocity response spectra, particularly over the long periods. This significant amplification effect of the pulses on the response spectra leads to empirical models underestimating the long-period earthquake ground motion.     

适用于全周期结构的速度脉冲型地震动强度表征参数研究

鉴于传统的地震动强度表征参数（IM）不能有效地反映速度脉冲型地震动的破坏特征,需要研究能够在全周期段内表征速度脉冲型地震动强度的参数。本文首先从NGA-West2强震数据库中选取了236条速度脉冲记录,分析了42种地震动参数之间的相似性和相关性,初步给出了速度脉冲型地震动强度的表征参数;其次,利用单自由度体系动力时程分析方法,研究了不同延性μ条件下速度脉冲型地震动强度表征参数与最大非线性位移u_m之间的相关性系数随周期T的变化特征,并通过线性回归和离差分析方法确定了初步给出的速度脉冲型地震动强度表征参数的有效性及其应用范围;最后,将速度脉冲对加速度反应谱的放大系数A_f作为速度脉冲型地震动强度表征参数,并验证其有效性。结果表明:① 当0＜T＜1 s时,S_a（T）作为速度脉冲型地震动强度表征参数的有效性较好;② 当1＜T＜3 s时,S_a,avg,S_v,avg,PPV,I_f和PGV作为速度脉冲型地震动强度表征参数的有效性较好;③ 当3＜T＜6 s时,S_a,avg,S_v,avg,PPV,I_f,PGV和S_a（T）不宜作为速度脉冲型地震动强度表征参数;④ 当0＜T＜6 s时,A_f作为速度脉冲型地震动强度表征参数的有效性较好,而且,当结构自振周期小于速度脉冲周期时,A_f作为速度脉冲型地震动强度表征参数时u_m的离散性最小。      

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.     

基于希尔伯特-黄变换的近断层地震动脉冲特性研究

近断层地震动中存在的低频、大幅值速度脉冲使得临近断层结构具有更高的强度和延性需求。对近断层地震动脉冲特性的深入研究有利于加深对临近断层结构反应的认识,从而为临近断层结构抗震设计提供理论依据。受强震记录处理及速度脉冲识别和提取方法的限制,目前已有的研究工作主要集中于近断层地震动记录的单脉冲特性,多脉冲特性涉及较少。本文基于希尔伯特-黄变换及其相关理论,针对近断层地震动,提出了涵盖原始强震记录基线校正,至多速度脉冲定量判别及提取的整套脉冲特性研究方法,该方法对多脉冲记录尤为有效;基于提取出的理想化速度脉冲构建了（多）脉冲参数与地震参数的统计关系;以脉冲持时新定义了近断层地震动的有效强震持时,并通过多层结构非线性时程分析进行了验证。新方法中,基线校正过程可以获得稳定的地面峰值位移（PGD）和具有物理意义的基线偏移时程;提出的速度脉冲识别及波形提取方法可以将每个脉冲准确定位于时域,同时自动化获得脉冲相关参数;基于理想脉冲定义的近断层地震动有效强震持时可以良好地 表征多脉冲记录的强度。      

近断层速度脉冲地震动的三维有限差分模拟

根据台湾西部地质地貌特征和1999年集集M_W7.6地震的研究成果,建立三维速度结构模型和震源模型,并采用三维有限差分法对双冬断层可能产生的近断层脉冲型地震动进行数值模拟。结果表明,方向性效应引起的双向速度脉冲集中在垂直于断层滑动分量的方向上,而滑冲效应引起的单向速度脉冲则集中在平行于断层滑动分量的方向上。受方向性效应和上盘效应的共同调制,近断层脉冲型地震动反映出不对称带状分布的特征,速度脉冲主要分布在距离断层面约10 km的范围内。凹凸体的特性影响着地震动的时空分布,由地震波场显示南投和台中处于强地震动危险区。近场脉冲型地震动的研究对分析速度脉冲形成机理以及地震危险性有一定的参考意义。     

脉冲型地震动潜在破坏势参数的相关性分析

为了在众多参数中挑选其中最有代表性的参数,来解释和反映脉冲型地震动对结构的潜在破坏能力,以338条脉冲型地震动记录作为研究对象,分析地震动参数与中低层结构响应的相关性。选取了14个常用地震动参数,对各地震动参数之间的相关性进行分析,从中选出7个代表性地震动参数;并将脉冲型地震动输入中低层结构模型中计算结构响应,分析代表性地震动参数与结构响应的相关性,与基于非脉冲型地震动的相关性计算结果进行对比。选用了3层和7层2个RC框架结构作为中低层结构代表,其基本周期为0.62s和0.89s。结果表明:对于脉冲型地震动,对于3层结构时与结构响应相关性最好的为EPV,对于7层结构时与结构响应相关性最好的为PGV,因此可以用PGV和EPV作为表征脉冲型地震动对中低层结构潜在破坏能力的参数;而对于非脉冲型地震动,与结构响应相关性最好的参数为PGV,可以用PGV作为表征脉冲型地震动对中低层结构的潜在破坏能力的参数。因此,通过地震动参数来解释和表征脉冲型地震动对结构的破坏能力是可行的。     

一种有效的地震动速度时程时域特性分析方法

在分析特殊型地震动如近场脉冲型地震动或远场类谐和地震动时,研究和设计人员更关注于地震动的时域特性.鉴于目前尚不具有一种成熟的用于分析地震动时域特性的方法,在研究中通常采用肉眼辨别地震动.但在肉眼辨别的过程中并没有定量的指标描述地震动的特性,因此这种方法容易引入人为的主观性误差.地震动的时域特性主要指地震动的振动周期和强度随时间的变化情况.如有一种定量描述这种变化的方法便能消除肉眼辨别中引入的主观性误差.为解决该问题,本文提出了一种简便、有效的分析地震动速度时程时域特性的速度零点法ZVPM(Zero Velocity Point Method).采用这种方法可以定量地分析地震动速度时程的振动周期和强弱程度随时间的变化情况,并可以通过定义的幅值参数、周期参数和相位参数获取等效的地震动速度时程.鉴于脉冲型地震动对结构具有特殊的破坏作用,本文采用速度零点法分析了24条典型的强脉冲型地震动,并基于速度零点法提出了一种简便的脉冲周期计算方法.为便于工程设计人员快速地获取本文所选脉冲型地震动的等效速度脉冲,文中给出了每一条地震动等效速度脉冲的数学表达式.     

Dominant pulse simulation of near fault ground motions

In this study, a new mathematical model is developed composed of two parts, including harmonic and polynomial expressions for simulating the dominant velocity pulse of near fault ground motions. Based on a proposed velocity function, the corresponding expressions for the ground acceleration and displacement time histories are also derived. The proposed model is then fitted using some selected pulse-like near fault ground motions in the Next Generation Attenuation (NGA) project library. The new model is not only simple in form but also simulates the long-period portion of actual velocity near fault records with a high level of precision. It is shown that the proposed model-based elastic response spectra are compatible with the near fault records in the neighborhood of the prevailing frequency of the pulse. The results indicate that the proposed model adequately simulates the components of the time histories. Finally, the energy of the proposed pulse was compared with the energy of the actual record to confirm the compatibility.     

近断层脉冲型地震动作用下隔震结构地震反应分析

隔震结构在远震场地减震效果良好，但是近断层地震动的明显的长周期速度和位移脉冲运动可能对隔震建筑等长周期结构的抗震性能和设计带来不利影响，需要深入探讨。本文首先讨论近断层地震动的长周期脉冲运动特征，然后以台湾集集地震8条典型近震记录和其它4条常用近震记录以及4条远震记录作为地震动输入，对两幢安装铅芯橡胶隔震支座的钢筋混凝土框架隔震结构进行非线性地震反应时程分析，通过比较探讨了算例计算结果，定量说明隔震结构的近震脉冲效应显著，是隔震设计不容忽视的问题。     

Identification of acceleration pulses in near-fault ground motion using the EMD method

In this paper, response spectral characteristics of one-, two-, and three-lobe sinusoidal acceleration pulses are investigated, and some of their basic properties are derived. Furthermore, the empirical mode decomposition （EMD） method is utilized as an adaptive filter to decompose the near-fault pulse-like ground motions, which were recorded during the September 20, 1999, Chi-Chi earthquake. These ground motions contain distinct velocity pulses, and were decomposed into high-frequency （HF） and low-frequency （LF） components, from which the corresponding HF acceleration pulse （if existing） and LF acceleration pulse could be easily identified and detected. Finally, the identified acceleration pulses are modeled by simplified sinusoidal approximations, whose dynamic behaviors are compared to those of the original acceleration pulses as well as to those of the original HF and LF acceleration components in the context of elastic response spectra. It was demonstrated that it is just the acceleration pulses contained in the near-fault pulse-like ground motion that fundamentally dominate the special impulsive dynamic behaviors of such motion in an engineering sense. The motion thus has a greater potential to cause severe damage than the far-field ground motions, i.e. they impose high base shear demands on engineering structures as well as placing very high deformation demands on long-period structures.     

Response spectrum-oriented pulse identification and magnitude scaling of forward directivity pulses in near-fault ground motions

This paper presents a novel approach to identify the pulse-like motions in earthquake recordings that dominate the maximum structural responses over a wide period range. The identification method is based on the congruence relationship between the response spectrum and the dimensionless П-response spectrum established in this study through straightforward dimensional arguments of linear and bilinear SDOF oscillators subject to pulse-like ground motions. By evaluating the geometric match and dislocations of the П-response spectrum of a given waveform with the dimensional response spectrum in bi-logarithm plotting, one can identify the simple pulses and their parameters that match simultaneously the kinematic characteristics and the response spectrum of earthquake recordings that exhibit pulse-like features. The developed pulse identification method has been implemented in a computer program and applied successfully to detect the pulse-like motions in the PEER NGA strong motion database. Both velocity and acceleration pulses potentially due to forward directivity effects in near fault regions are identified. The identified velocity pulses show strong correlation with the seismological parameters. They are subsequently used in regression analysis to derive the empirical scaling laws that relate the directivity pulse parameters to the earthquake magnitude and rupture distance. The study confirms some magnitude scaling laws in literature and demonstrates the accuracy and efficiency of the proposed pulse identification method.     

A method to extract successive velocity pulses governing structural response from long-period ground motion

A series of relatively long-period velocity pulses appearing in the later part of ground motion, which is the characterization of far-source long-period ground motions in basin (“long-period ground motion” for short), is mainly influenced by focal mechanism, basin effect, and dispersion. It was supposed that the successive low-frequency velocity pulses in long-period ground motion caused the resonance of long-period structures in basin, which are of special concern to designers of super high-rise buildings. The authors proposed a wavelet-based successive frequency-dependent pulse extraction (WSFPE) method to identify and extract these pulses with dominant period of interest from long-period ground motions. The pulses extracted by using two frequently used methods (zero-crossing analysis, empirical mode decomposition) were compared to the pulses extracted by using WSFPE. The results demonstrate that the WSFPE provides higher resolution in time–frequency domain than the other two methods do. The velocity pulses extracted by using WSFPE are responsible for the resonance and maximum response of structure subjected to long-period ground motions. WSFPE can be used to make a better understanding of long-period ground motions and to promote the formation of long-period ground motion model which will help the seismic design of long-period structures built in sedimentary basin.