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1.
基于相位差谱的时-频非平稳人造地震动的生成   总被引:5,自引:2,他引:5  
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。  相似文献   

2.
基于相位差谱的时-频非平稳人造地震动的反应谱拟合   总被引:16,自引:2,他引:16  
本文根据相位差谱对地震动时程非平稳性的影响,反应谱、功率谱和傅里叶幅值谱间的数学关系以及加速度时程单谐波分量对反应谐拟合精度和拟合效率的作用,提出了一种可直接拟合目标反应谱的具有时-频非平稳性的人工地震动的高效方法,算例说明了其有效性。  相似文献   

3.
本文基于与物理随机模型相对应的随机Fourier谱,通过对地震动非平稳性及其所受影响机制的分析,建立了非平稳地震动合成的新方法。通过引入基本相位差谱,并将初始相角视为随机变量,以相位差谱的分布特性、随机地震动的统计特征以及对结构随机反应的影响为原则,利用计算机程序生成相位差谱,提出了基于随机Fourier谱的合成地震动方法。同时,利用快速FFT技术提高合成精度。根据本文提出的合成方法获得的地震动具有非平稳特性,将为后续研究工作提供合理的地震动加速度时程。  相似文献   

4.
地震动非平稳性与幅值谱和相位差谱的关系   总被引:9,自引:1,他引:9  
本文将地震动时程视为非平稳的随机过程,通过将其分解为一系列窄频带波包的方法,讨论了地震动强度及频率非平稳性与幅值谱和相应差谱的关系,并着重分析了相位差谱及其均值和对地震动非平稳性作用的机制。  相似文献   

5.
相位差谱的分布特征和人造地震动   总被引:11,自引:6,他引:11  
本文进行了地震加速度记录相位差谱的计算分析。文中指出,强震加速度时程的相位差分布符合对数正态分布,用该分布产生的随相角在合成人造地震动时程时并不需要叠加强度包络函数,所得人造地震动与实际记录十分相近,从而为合成频率含量和强度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。本文将对数正态分布相位差谱与正态分布相位差谱生成的人造地震动分别与实际记录进行了比较,结果表明用对数正态分布相位差谱合成的人造波与实际地震动吻合得更好。  相似文献   

6.
地震加速度相位差谱分布的数字特征   总被引:12,自引:3,他引:12  
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。  相似文献   

7.
基于渐进谱的幅值和频率非平稳人造地震动拟合   总被引:1,自引:1,他引:0  
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。  相似文献   

8.
地震动反应谱与相位差谱的关系   总被引:4,自引:0,他引:4       下载免费PDF全文
研究了地震动相位差谱与反应谱的关系,从中发现相位差谱通过影响单自由度体系反应时程的形状来影响地震动反应谱.在相位差谱均值一定的前提下,减小其方差将使反应谱增大,反之将使反应谱减小.在相位差谱方差固定时,增大其均值的斜率将使反应谱值减小,反之将加大反应谱.相位差谱作用于反应谱时阻尼在其中起着重要作用,随着阻尼的增大,相位差谱对反应谱影响越来越明显.阻尼的增大使得相位差谱对放大倍数谱的影响逐渐减小  相似文献   

9.
非平稳地震动过程模拟方法(Ⅱ)   总被引:5,自引:0,他引:5       下载免费PDF全文
梁建文 《地震学报》2005,27(3):346-351
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.   相似文献   

10.
地震动反应谱与相位差谱的关系   总被引:4,自引:0,他引:4       下载免费PDF全文
赵凤新  胡聿贤 《地震学报》1996,18(3):287-291
研究了地震动相位差谱与反应谱的关系,从中发现相位差谱通过影响单自由度体系反应时程的形状来影响地震动反应谱.在相位差谱均值一定的前提下,减小其方差将使反应谱增大,反之将使反应谱减小.在相位差谱方差固定时,增大其均值的斜率将使反应谱值减小,反之将加大反应谱.相位差谱作用于反应谱时阻尼在其中起着重要作用,随着阻尼的增大,相位差谱对反应谱影响越来越明显.阻尼的增大使得相位差谱对放大倍数谱的影响逐渐减小.   相似文献   

11.
Seismic risk analysis and mitigation of spatially extended structures require the synthesis of spatially varying ground motions in the response history analysis of these structures. These synthetic motions are usually desired to be spatially correlated, site reflected, nonstationary, and compatible with target design response spectra. In this paper, a method is presented for simulating spatially varying ground motions considering the nonstationarity, local site effects, and compatibility of response spectra. The scheme for generating spatially varying and response spectra compatible ground motions is first established for spatial locations on the ground surface with varying site conditions. The design response spectrum is introduced as the “power” spectrum at the base rock. The site amplification approach is then derived based on the deterministic wave propagation theory, by assuming that the base rock motions consist of out-of-plane SH wave or in-plane combined P and SV waves propagating into the site with assumed incident angles, from which tri-directional spatial ground motions can be generated. The phase difference spectrum is employed to model ground motions exhibiting nonstationarity in both frequency and time domains with different site conditions. The proposed scheme is demonstrated with numerical examples.  相似文献   

12.
A new critical excitation method is developed for soil–structure interaction systems. In contrast to previous studies considering amplitude nonstationarity only, no special constraint of input motions is needed on nonstationarity. The input energy to the soil–structure interaction system during an earthquake is introduced as a new measure of criticality. It is demonstrated that the input energy expression can be of a compact form via the frequency integration of the product between the input component (Fourier amplitude spectrum) and the structural model component (so-called energy transfer function). With the help of this compact form, it is shown that the formulation of earthquake input energy in the frequency domain is essential for solving the critical excitation problem and deriving a bound on the earthquake input energy for a class of ground motions. The extension of the concept to MDOF systems is also presented.  相似文献   

13.
Earthquake ground motion records are nonstationary in both amplitude and frequency content. However, the latter nonstationarity is typically neglected mainly for the sake of mathematical simplicity. To study the stochastic effects of the time‐varying frequency content of earthquake ground motions on the seismic response of structural systems, a pair of closely related stochastic ground motion models is adopted here. The first model (referred to as ground motion model I) corresponds to a fully nonstationary stochastic earthquake ground motion model previously developed by the authors. The second model (referred to as ground motion model II) is nonstationary in amplitude only and is derived from the first model. Ground motion models I and II have the same mean‐square function and global frequency content but different features of time variation in the frequency content, in that no time variation of the frequency content exists in ground motion model II. New explicit closed‐form solutions are derived for the response of linear elastic SDOF and MDOF systems subjected to stochastic ground motion model II. New analytical solutions for the evolutionary cross‐correlation and cross‐PSD functions between the ground motion input and the structural response are also derived for linear systems subjected to ground motion model I. Comparative analytical results are presented to quantify the effects of the time‐varying frequency content of earthquake ground motions on the structural response of linear elastic systems. It is found that the time‐varying frequency content in the seismic input can have significant effects on the stochastic properties of system response. Copyright © 2016 John Wiley & Sons, Ltd.  相似文献   

14.
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.  相似文献   

15.
根据渐进谱的统计规律生成地震加速度时程   总被引:1,自引:0,他引:1       下载免费PDF全文
张翠然  陈厚群  李敏 《地震学报》2007,29(4):409-418
基于美国西部80条基岩上的近场强震记录, 采用Nakayama方法生成记录的渐进谱, 并参照Kameda方式,用统计方法建立了根据震级、距离等地震参数预测渐进谱的统计模型. 提出一种以渐进谱为目标谱的生成幅值和频率非平稳地震加速度时程的迭代方法. 由于考虑了渐进谱幅值和相位的相互影响,所生成的时程的相位也是时频非平稳的,并在相位调整中识别了相位谱增量符号以加速迭代收敛进程. 最后根据统计回归的目标渐进谱模型和本文提出的拟合目标渐进谱的方法,可生成不同震级、距离条件下的幅值和频率均非平稳的地震加速度时程.   相似文献   

16.
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.  相似文献   

17.
A stochastic ground‐motion simulation and modification technique is developed to generate energy‐compatible and spectrum‐compatible (ECSC) synthetic motions through wavelet packet characterization and modification in both frequency and time domains. The ECSC method significantly advances traditional spectral matching approaches, because it generates ground motions that not only match the target spectral accelerations, but also match Arias intensity build‐up and significant durations. The great similarity between the ECSC simulated motions and the actual recorded motions is demonstrated through one‐to‐one comparison of a variety of intensity measures. Extensive numerical simulations were also performed to validate the performance of the ECSC ground motions through nonlinear analyses of elasto‐plastic oscillators. The ECSC method can be easily implemented in the generalized conditional intensity measure framework by directly simulating a set of motions following a targeted distribution of multiple intensity measures. Therefore, the ECSC method has great potential to be used in performance‐based earthquake design and analysis. Copyright © 2017 John Wiley & Sons, Ltd.  相似文献   

18.
A method of applying wavelet transform to earthquake motion analysis is developed from the viewpoint of energy input structures, in which relationships between wavelet coefficients and energy input, namely energy principles in wavelet analysis are derived. By using the principles, time–frequency characteristics of the 1995 Hyogoken-Nanbu earthquake ground motions are analysed and time histories of energy input for various ranges of frequencies and epicentral distances are identified. Furthermore, a technique to simulate earthquake ground accelerations by wavelet inverse transform is developed on the condition that target time-frequency characteristics are specified. Structural responses to the simulated accelerations are compared with the target time–frequency characteristics, which shows satisfactory correlations between wavelet coefficients and energy responses in both time and frequency domains. Copyright © 1999 John Wiley & Sons, Ltd.  相似文献   

19.
通过EMD方法将地震动分解成若干固有模态函数,提出了用固有模态函数的时变VARMA建模实现地震动仿真的思路。算例分析表明,该方法充分利用了固有模态函数的特性,解决了直接基于ARMA或VARMA模型建模的仿真方法所面临的模型判阶的难题,并可同时考虑地震动的强度和频率非平稳特性,使仿真地震动与实际地震动在能量时频分布特性上具有较好的一致性且样本统计性较好,弹性及弹塑性反应谱拟合精度较高。  相似文献   

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