基于渐进谱的幅值和频率非平稳人造地震动拟合

在Priestley渐进谱和常用反应谱拟合技术基础上,提出一种拟合目标渐进谱生成幅值和频率非平稳地震动加速度时程的方法。由Nakayama方法获得目标渐进谱,定义[0,2π]的随机数作为初始相位。在迭代过程中考虑渐进谱和相位的影响,同时调整合成时程的渐进谱和相位,直到满足迭代的收敛要求。本文方法合成时程不仅保留目标渐进谱的时频非平稳特性,相位也具有与实际地震动相符合的时频非平稳性。时程的相关分析表明,输入不同初相位合成的时程在统计上互不相关。     

地震加速度相位差谱分布的数字特征

本文从地震加速度记录相位差谱的分布具有对数正态分布特征这一计算分析结果出发,进一步研究了基岩场地上加速度记录相位差谱分布的统计平均的数字特征——均值(?)、标准差(?)与震级M、震中距R的统计关系。它可应用于工程实际,从而为合成强度和频率含量两者均为非平稳的人造地震动提供了一个实用性较强的方法。文中利用统计分析结果,给出了不同震级、震中距的拟合目标反应谱的人造地震加速度时程。     

非平稳地震动过程模拟方法(Ⅱ)

在总结回顾具有同一统计特征非平稳地震动过程模拟的研究基础上, 提出了一个模拟产生与某个给定地震动记录具有同一统计特征[CD2]时变功率谱的非平稳地震动过程的方法. 方法具有如下一些特点: 模拟产生的样本过程在幅值上和频率上均是非平稳的, 幅值和频率的非平稳性均取决于目标时变功率谱; 任意一个样本过程的时变功率谱未必符合目标谱, 但在统计意义上却严格符合目标谱. 最后, 论文以Landers地震的一个加速度记录为例对方法进行了验证.      

时变功率谱模型参数衰减规律研究

基于美国西部基岩强震加速度记录资料,采用多重滤波技术计算水平向和竖向地震加速度记录时程的时变功率谱值,并利用非线性最小二乘法拟合了对应于各条加速度记录时程的时变功率谱模型参数值.采用经验统计方法,分析了水平向和竖向加速度时变功率谱模型参数随震级、震中距及频率的变化规律,建立其衰减模型,并由多随机变量一致加权最小二乘法拟合得到了各衰减模型的系数值.通过与现有时变功率谱衰减规律的对比分析,证明了本文提出的衰减模型的合理性.     

基于相位差谱的时─频非平稳人造地震动的生成

本文首先考察了地震动加速度时程在时域和频域上的非平稳性，通过实例分析说明地震动加速度时程 的非平稳性不能由相位谱的概率分布唯一决定，进而阐明了相位差谱是影响地震动非平稳的决定性因素。经 统计检验确定了脉动相位差的概率分布模型，利用相位差谱的数字特征与地震特性参数之间的统计关系，给 出了基于相位差谱的地震动时程生成方法。最后，通过对计算实例的分析，证实了此方法能够反映并模拟实 际地震动的时─频非平稳性。     

基于相位差谱的时-频非平稳人造地震动的生成

本文首先考察了地震动加速度时程在时域和频域上的非平稳性，通过实例分析说明地震动加速度时程的非平稳性不能由相位谱的概率分布唯一决定，进而阐明了相位差谱是影响地震动非平稳的决定性因素。经统计检验确定了脉动相位差的概率分布模型，利用相位差谱的数字特征与地震特性参数之间的统计关系，给出了基于相位差谱的地震动时程生成方法。最后，通过对计算实例的分析，证实了此方法能够反映并模拟实际地震动的时－频非平稳性。     

考虑地震环境的人造地震动合成方法

本文将经验格林函数法和人造地震动反应谱拟合技术有机地结合起来,提出了一种新的人造地震动方法。利用已有的场地附近的小震记录合成可能发生的大震地面运动,以此作为人造地震动的初始值,通过反复调整初始加速度的傅氏幅值谱来拟合给定的目标反应谱,以得到满足精度要求的人造地震加速度时程。本文方法可以考虑地震环境和局部场地对地震动的影响。所合成的地震加速度时程具有时间强度和频率含量的非平稳特征,并且不需要人为规定强度包线。     

基于等效群速度的非平稳地震动拟合方法研究

基于地震动能量传播速度为群速度这一概念,回顾了相位微分和窄带滤波两种频率相依波包时延计算方法及其在非平稳地震动相位拟合中的应用,归纳给出了一种非平稳地震动生成方法,通过模拟2条典型的海底与陆地地震动验证了方法的有效性,并将该方法应用于区域非平稳地震动场模拟中。结果表明:利用该方法所得模拟地震动记录平均加速度反应谱与原记录加速度反应谱有较高的一致性,而且能很好地再现地震的非平稳特性。     

拟合水工设计反应谱的人工地震波的生成与Huang变换校正

根据非平稳输入下建立的功率谱与均值反应谱之间的关系,合成基于水工设计反应谱的人工地震波,并对其幅值进行修正,降低了高频区误差作用.为了解决加速度时程积分后的速度、位移时程的零线漂移现象,利用Huang变换得到加速度时程的固有模态函数,这种最低频率固有模态函数分量通常情况下代表原始信号的趋势或均值;再对去掉均值后的加速度时程进行积分,得到的速度、位移时程不存在零线漂移问题.     

河南小浪底大坝的设计地震动参数

本文基于以坝址为中心,320公里范围内地质构造、历史地震和地震活动性的分析结果,研究了地震活动性模型,给出了影响小浪底大坝场地地震的空间和震级的分布,采用中国东部地区中强地震动记录和历史地震烈度观测资料,研究了地震动的衰减公式,并考虑了近场和远场震源的烈度与加速度之间的关系。在地震危险性分析中,应用概率方法,确定以10~(-4)年超过概率作为大坝地震危险性评定准则,可得到坝址场地地震动峰值加速度。考虑了各潜在震源离坝址的距离、最大震级和近场或远场震源等场地特征,选取大坝场地反应谱和地震动加速度时程曲线的包络线。最后,应用非随机过程的数学模型逐渐逼近目标谱的方法,得到近场和远场的每一组10条地震动时程曲线。这些人造地震动时程曲线可作为大坝的设计地震动的工程参数。     

Earthquake accelerogram simulation with statistical law of evolutionary power spectrum

By using the technique for evolutionary power spectrum proposed by Nakayama and with reference to the Kameda formula, an evolutionary spectrum prediction model for given earthquake magnitude and distance is established based on the 80 near-source acceleration records at rock surface with large magnitude from the ground motion database of western U.S.. Then a new iteration method is developed for generation of random accelerograms non-stationary both in amplitude and frequency which are compatible with target evolutionary spectrum. The phase spectra of those simulated accelerograms are also non-stationary in time and frequency domains since the interaction between amplitude and phase angle has been considered during the generation. Furthermore, the sign of the phase spectrum increment is identified to accelerate the iteration. With the proposed statistical model for predicting evolutionary power spectra and the new method for generating compatible time history, the artificial random earthquake accelerograms non-stationary both in amplitude and frequency for certain magnitude and distance can be provided.     

Generation of spectrum compatible accelerograms

In this paper a new method is presented for generating earthquake accelerograms which have pre-established response spectra. The non-stationary random nature and other salient features of the accelerograms can be taken care of by the procedure developed. The method leads to a sample spectrum which lies above the given spectrum. The generation of records to suit several spectra simultaneously can also be handled by this approach. The method is detailed first. This is followed by several numerical examples.     

Simulation of three-dimensional strong ground motions along principal axes,San Fernando earthquake

Power spectral density which describes frequency content is considered one of the most significant properties to be taken into account when generating ground motions through the use of stochastic processes. Using a smoothed and normalized Fourier amplitude spectrum, frequency content for components of motion along a set of principal axes is estimated. Fourier amplitude spectra obtained by this moving-window technique are presented which show the time dependency of frequency content for motions produced by the San Fernando earthquake of 9 February 1971. A mathematical model to simulate ground motion processes is proposed for which both the intensity and frequency content are non-stationary. Using this mathematical model with parameter characteristics along principal axes similar to those of the motions recorded during the San Fernando earthquake, three-dimensional ground motions are synthetically generated. The properties of the simulated motions show general characteristics similar to the characteristics observed in real accelerograms. The suggested model is considered adequate for engineering purposes.     

地震动随机函数模型研究(Ⅰ)——模型建立

基于随机过程的随机函数解释,发展了一种随机地震动模型.模型包括两个部分,分别是基于理论物理关系的Fourier幅值谱模型和基于经验关系的Fourier相位谱模型.基于拟加速度谱概念建立的幅值谱模型能够反映强震记录的幅值特性,而Fourier相位谱模型则利用累积相位谱的单值连续特性,以线性多项式与三角级数组合的形式给出.模拟记录与实测记录对比结果显示两者不仅在波形结构上相似性良好,而且反应谱层次亦吻合良好.     

Generating multiple spectrum compatible accelerograms using stochastic neural networks

A new neural‐network‐based methodology for generating artificial earthquake spectrum compatible accelerograms from response spectra was proposed in 1997, in which, the learning capabilities of neural networks were used to develop the knowledge of the inverse mapping from the response spectra to earthquake accelerograms. Recently, this methodology has been further extended and enhanced. This paper presents a new stochastic neural network that is capable of generating multiple earthquake accelerograms from a single‐response spectrum. A new stochastic feature to the neural network has been combined with a new scheme for data compression using the replicator neural networks developed in the original method. A benefit of this extended methodology is gaining efficiency in compressing the earthquake accelerograms and extracting their characteristics. The proposed method produces a stochastic ensemble of earthquake accelerograms from any response spectra or design spectra. An example is presented that used 100 recorded accelerograms to train the neural network and several design spectra and response spectra to test this improved methodology. Copyright © 2001 John Wiley & Sons, Ltd.     

地震动功率谱与反应谱的转换关系

本文详细评述了现今常用的几种加速度反应谱与功率谱的转换关系。对于小阻尼单质点体系而言，考虑到输入地震动是一非平稳的随机过程，又由于其传递函数的窄频带滤波特性，它的加速度反应将是一窄频带的非平稳随机过程。对于峰值系数水平的超越不是独立的，而是成群超越。据此本文考虑非平稳效应和对峰值系数水平的成群效应，对前人的转换关系进行了修正，并基于随机振动理论，给出了对工程上常用的频率平稳、强度非平稳的地震;动模型的功率谱和反应谱的转换关系。此转换关系对于长、短持时的地震动记录和反应谱长、短周期部分以及不同阻尼比的反应谱都能给出精度较高的结果。     

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.     

地震波动强度非平稳特征提取数学建模分析

地震对人类生活安全有很大的威胁,对建筑结构有明显的影响,研究地震波动强度非平稳特征可为地震的预防提供参考。研究地震波动强度非平稳特征提取模型,分别设定确定性参数和随机参数的取值。对地震波动强度非平稳特性进行傅里叶分析,根据分析结果选取数学模型,并对模型参数进行设定;将记录的地震波动强度所对应的数振幅谱进行分解,拆分成一组不同尺度的分量,并对其重组创建连续分量,提取地震波振幅谱;利用地震波的振幅谱和相位谱之间的关系对地震波动强度非平稳特征进行提取。经过仿真实验证明,本方法提取地震波动强度非平稳特征的准确度更高,对分析高分辨率地震资料具有重要意义。     

Generation of artificial strong motion accelerograms

A method for generating synthetic strong motion accelerograms for use in engineering design is presented. This method utilizes the model proposed by Trifunac in 1971²⁷ in conjunction with the recent empirical scaling functions for characterization of amplitudes and duration of strong shaking in terms of (i) earthquake magnitude, M, and epicentral distance, R, or (ii) Modified Mercalli Intensity (MMI) at the recording station. The method also enables one to consider the desired levels of confidence that the synthetic motion will not be exceeded, direction of ground motion (horizontal or vertical) and the dispersive properties of geologic environment beneath and surrounding the station. The principal features of this approach are that the resulting accelerograms have non-stationary frequency and amplitude characteristics which are in full agreement with known principles of wave propagation through a stratified medium, and that the Fourier amplitudes and the frequency-dependent duration are scaled in accordance with known trends as in recorded accelerograms.     

Synthesis of accelerograms compatible with the Chinese GB 50011-2001 design spectrum via harmonic wavelets： artificial and historic records

A versatile approach is employed to generate artificial accelerograms which satisfy the compatibility criteria prescribed by the Chinese aseismic code provisions GB 50011-2001. In particular, a frequency dependent peak factor derived by means of appropriate Monte Carlo analyses is introduced to relate the GB 50011 -2001 design spectrum to a parametrically defined evolutionary power spectrum (EPS). Special attention is given to the definition of the frequency content of the EPS in order to accommodate the mathematical form of the aforementioned design spectrum. Further, a one-to-one relationship is established between the parameter controlling the time-varying intensity of the EPS and the effective strong ground motion duration. Subsequently, an efficient auto-regressive moving-average (ARMA) filtering technique is utilized to generate ensembles of non-stationary artificial accelerograms whose average response spectrum is in a close agreement with the considered design spectrum. Furthermore, a harmonic wavelet based iterative scheme is adopted to modify these artificial signals so that a close matching of the signals' response spectra with the GB 50011-2001 design spectrum is achieved on an individual basis. This is also done for field recorded accelerograms pertaining to the May, 2008 Wenchuan seismic event. In the process, zero-phase high-pass filtering is performed to accomplish proper baseline correction of the acquired spectrum compatible artificial and field accelerograms. Numerical results are given in a tabulated format to expedite their use in practice.