Fuzzy random vibration of multi-degree-of-freedom hysteretic systems subjected to earthquakes

Earthquake excitation not only has evident randomness but also has strong fuzziness owing to the uncertainties in the definition of earthquake intensity and site soil classification. In this paper, the seismic ground motion is simulated as a stationary filtered white noise with fuzzy parameters, an analytical procedure is proposed to analyse the fuzzy random vibration of multi-degree-of-freedom (MDOF) hysteretic systems, and the covariance matrix of the fuzzy random responses is derived by the equivalent linearization technique. Finally, some numerical results for a two-storey shear hysteretic frame are presented to demonstrate the validity and effectiveness of the procedure proposed.     

地震地面运动的模糊随机模型

未来地震地面运动不仅具有随机性而且具有强烈的模糊性。这种模糊性是由于地震烈度和场地土类別的定义和评定标准的模糊性所引起的,在其模型中应该予以考虑。 本文从不同特征和条件的工程实际出发,在充分考虑上述模糊性和随机性的基础上,提出了地震地面运动的两种模糊随机模型。第一种模型是在预测地震烈度和应用地震反应谱的基础上建立起来的;第二种模型是在现有的随机过程模型的基础上,通过引进适当的模糊参数而建立起来的。      

考虑场地条件与设计地震分组的输入能量谱研究

建立简单适用的设计输入能量谱是将能量方法应用于实际工程设计及校核的前提.选择了Ⅰ类、Ⅱ类和Ⅲ类场地共694条水平地震动记录,分析了不同的场地类别和设计地震分组下输入能量谱的特点.通过12个不同地震动参数与能量谱值的相关性分析,得到了表征地震动输入能量的地震动参数.基于我国现行规范规定的设防烈度和设防水准,提出了地震分组...     

Ground motion scaling methods for different site conditions and structure characteristics

Non‐linear dynamic time‐history analyses conducted as part of a performance‐based seismic design approach often require that the ground motion records are scaled to a specified level of seismic intensity. Recent research has demonstrated that certain ground motion scaling methods can introduce a large scatter in the estimated seismic demands. The resulting demand estimates may be biased, leading to designs with significant uncertainty and unknown margins of safety, unless a relatively large ensemble of ground motion records is used. This paper investigates the effectiveness of seven ground motion scaling methods in reducing the scatter in estimated peak lateral displacement demands. Non‐linear single‐degree‐of‐freedom systems and non‐linear multi‐degree‐of‐freedom systems are considered with different site conditions (site soil profile and epicentral distance) and structural characteristics (yield strength, period, and hysteretic behavior). It is shown that scaling methods that work well for ground motions representative of stiff soil and far‐field conditions lose their effectiveness for soft soil and near‐field conditions for a wide range of structural characteristics. Copyright © 2003 John Wiley & Sons, Ltd.     

双向地震作用下崩塌堆积体边坡动力模糊可靠性分析

考虑崩塌堆积体边坡岩土体参数随机性和模糊性,以及地震力双向性,建立一种边坡地震动力模糊可靠度计算方法,针对竖向地震力对崩塌堆积体边坡稳定可靠性的影响进行进一步研究。首先,选用动力有限元时程分析法计算出双向地震工况下崩塌堆积体边坡的响应特征,并运用模糊理论对强度参数进行模糊性处理;然后,根据Mohr-Coulumb强度准则构建边坡安全系数与可靠度的时程计算模型;最后,采用边坡地震可靠性评价新方法,通过MATLAB编写相应程序,实现计算和分析结果的快速输出。案例结果表明:新方法计算结果更加合理,对工程而言也更加安全;竖向地震作用均对崩塌堆积体边坡整体可靠性存在影响,但影响程度需根据工程实际情况进行分析。在算例工况下,竖向地震对崩塌堆积体边坡的可靠性影响很小,仅使得可靠度降低3.55%,因此,可仅考虑水平地震的影响。     

均质土坝非平稳随机地震反应分析

考虑地震荷载的随机性及强度、频率的非平稳性,基于作者提出的适用于非平稳随机过程的一般随机地震动模型,采用虚拟激励法,建立了非平稳随机地震反应分析方法,并将其应用于某实际均质土坝动力分析中。土石坝及坝基体系采用整体有限元离散,坝体和坝基材料的动力非线性性能以等效线性化方法考虑。首先,基于目标加速度时程的强度和能量信息,确定了作为输入的加速度时—频演变功率谱密度;其次,比较了确定性时程动力分析和非平稳随机分析的结果,探讨了频率非平稳随机地震激励下的土石坝地震反应特性;最后,比较了2种不同坝基条件下的土石坝非平稳随机地震反应,探讨了频率非平稳随机激励下的土石—坝基动力相互作用。分析结果表明：地震动的频率非平稳性对土石坝动力反应有一定影响;坝体—坝基动力相互作用在地震过程中的不同阶段表现有所不同,主震阶段的相互作用显著。     

Stochastic seismic response of multi-layered soil with random layer heights

This paper deals with the effect of layer height randomness on the seismic response of a layered soil. These parameters are assumed to be lognormal random variables. The analysis is carried out via Monte Carlo simulations coupled with the stiffness matrix method. A parametric study is conducted to derive the stochastic behavior of the peak ground acceleration and its response spectrum,the transfer function and the amplification factors. The input soil characteristics correspond to a site in Mexico City and the input seismic accelerations correspond to the Loma Prieta earthquake. It is found that the layer height heterogeneity causes a widening of the frequency content and a slight increase in the fundamental frequency of the soil profile,indicating that the resonance phenomenon is a concern for a large number of structures. Variation of the layer height randomness acts as a variation of the incident angle,i.e.,a decrease of the amplitude and a shift of the resonant frequencies.     

地震区多层石结构抗震抗剪能力的模糊可靠性分析

本文通过考虑地震烈度的随机性和模糊性,以及石结构强度破坏等级界限的模糊性,研究多层石结构抗震抗剪能力的可靠性问题.将地震地面运动模拟为含有模糊烈度参数的平稳过滤有色噪声的随机过程,引入抗剪强度破坏指数,建立了石结构抗震抗剪能力的模糊安全准则,为研究多层石结构的抗震抗剪能力可靠性提供了一个合理的评定方法。     

Risk assessment of an interacting structure–soil system due to liquefaction

The present study deals with the non‐linear stochastic dynamic analysis of a soil–structure interacting system. The ultimate objective is to determine the risk of damage to the system due to liquefaction under a wide range of earthquake intensities. A Monte Carlo simulation approach is followed in conjunction with advanced finite element procedures. The stochastic spatial variability of soil properties and the randomness of the seismic excitation are taken into account in order to estimate the statistics of the response, measured in terms of uniform foundation settlement and tilting. Specifically, soil properties are modelled as non‐Gaussian random fields and seismic excitations as non‐stationary random processes. The probabilistic characteristics of the stochastic field modelling soil properties are established from in situ tests. The risk of damage to the soil–structure system due to liquefaction is assessed by establishing fragility curves, which are of paramount importance for risk assessment and management studies of such systems. Fragility curves express the probability of exceeding various thresholds in the response. The relative effect of the variability of various soil parameters on the variability of the response is also examined. Copyright © 2002 John Wiley & Sons, Ltd.     

Merging energy‐based design criteria and reliability‐based methods: exploring a new concept

This paper examines the potential development of a probabilistic design methodology, considering hysteretic energy demand, within the framework of performance‐based seismic design of buildings. This article does not propose specific energy‐based criteria for design guidelines, but explores how such criteria can be treated from a probabilistic design perspective. Uniform hazard spectra for normalized hysteretic energy are constructed to characterize seismic demand at a specific site. These spectra, in combination with an equivalent systems methodology, are used to estimate hysteretic energy demand on real building structures. A design checking equation for a (hypothetical) probabilistic energy‐based performance criterion is developed by accounting for the randomness of the earthquake phenomenon, the uncertainties associated with the equivalent system analysis technique, and with the site soil factor. The developed design checking equation itself is deterministic, and requires no probabilistic analysis for use. The application of the proposed equation is demonstrated by applying it to a trial design of a three‐storey steel moment frame. The design checking equation represents a first step toward the development of a performance‐based seismic design procedure based on energy criterion, and additional works needed to fully implement this are discussed in brief at the end of the paper. Copyright © 2006 John Wiley & Sons, Ltd.     

Seismic performance analysis of underground structures based on random field model of soil mechanical parameters

Soils with spatial variability are the product of natural history. The mechanical properties tested by soil samples from boreholes in the same soil layer may be different. Underground structure service in surrounding soils, their seismic response is controlled by the deformation of the surrounding soils. The variability of soil mechanical parameters was not considered in the current research on the seismic response of underground structures. Therefore, a random field model was established to describe the spatial variability of surrounding soils based on the random field theory. Then the seismic response of underground structures in the random field was simulated based on the time-domain explicit global FEM analysis, and the soil mechanical parameters and earthquake intensity influencing the seismic response of surrounding soils and underground structures were studied. Numerical results presented that, the randomness of soil parameters does not change the plastic deformation mode of surrounding soils significantly. The variation coefficients of inter-story deformation of structures and lateral deformation of columns are much smaller than that of mechanical parameters, and the randomness of soil parameters has no obvious effect on the structural deformation response.     

基于SOILQUAKE软件方法的厚层淤泥场地设防地震动参数确定探讨

以天津滨海某厚层淤泥场地为例,分别采用等效线性化法（LSSRLI-1）和新一代土层地震反应分析SOILQUAKE软件方法在场地危险性计算确定的不同设防水准地震动输入条件下进行了建模土层地震反应计算。计算结果表明：（1）对厚层淤泥软弱场地,与新版区划图结果相比等效线性化法可能会低估场地地震作用,甚至是低估场地设防烈度;（2） SOILQUAKE软件方法在软弱场地设计地震动参数确定时仍能体现一定的放大作用,尤其是强地震动作用下,克服了等效线性化方法在软弱场地计算时出现的设计谱明显矮、宽现象,与当前认识相一致,为软弱场地重大工程设防参数确定提供了参考;（3） SOILQUAKE软件方法在软弱场地设计地震动参数确定较新版区划图结果设防标准有大幅度提高,考虑到相关抗震设防规范的协调性,还需进一步对其他类型软弱场地进行大量强震记录输入计算检验,以便更好的工程应用。     

甘肃地区波速测试中的问题分析

土的弹性波速度是非常重要的力学参数,可用于场地类别划分、场地地震反应分析以及判别砂土、粉土、黄土液化、黄土震陷等。准确测得场地波速资料是进行土工设计和预测岩土地震灾害的关键技术环节。本文收集了甘肃地区地震安全性评价和小区化实测原位波速资料,分类指出了存在的问题,以反面案例的形式给出了波速数据处理时应注意的问题和分析方法。     

考虑设计地震分组的强度折减系数的研究

强度折减系数既是基于强度的抗震设计中确定设计地震力的关键因素,又是基于性态的抗震设计理论中确定非弹性反应谱的主要依据. 本文结合我国抗震设计反应谱的形式和特点,应用823条国内外水平向地震动记录（充分利用了我国取得的强震记录）,给出了一种考虑设计地震分组和场地类别的强度折减系数模型,研究了结构周期、延性、场地类别、设计地震分组、震级、震中距等因素对强度折减系数的影响. 结果表明:场地条件对强度折减系数的影响是不可忽略的,特别是对延性较大的短周期结构更应注意场地条件的影响;设计地震分组是影响强度折减系数的一个重要因素,在应用我国规范设计反应谱构造非弹性反应谱所用的强度折减系数必须考虑设计分组的影响;震级对强度折减系数的影响较小;如不考虑近场大脉冲地震动记录的影响,震中距对强度折减系数的影响是可以忽略的.      

模糊综合评判在高层建筑结构地震作用下的应用

应用模糊数学原理,将我国现行建筑抗震设计规范(GB 50011-2001)划分场地类别的依据模糊化,用正态分布作为等效剪切波速与覆盖层厚度的隶属函数,对不同场地条件特征周期值进行模糊综合评判,给出了高层建筑结构地震作用计算步骤。结果表明,模糊综合评判方法使得建筑抗震设计中的设计反应谱更符合实际,高层建筑结构地震作用的计算更为准确。     

A new approach of selecting real input ground motions for seismic design: The most unfavourable real seismic design ground motions

This paper presents a new way of selecting real input ground motions for seismic design and analysis of structures based on a comprehensive method for estimating the damage potential of ground motions, which takes into consideration of various ground motion parameters and structural seismic damage criteria in terms of strength, deformation, hysteretic energy and dual damage of Park & Ang damage index. The proposed comprehensive method fully involves the effects of the intensity, frequency content and duration of ground motions and the dynamic characteristics of structures. Then, the concept of the most unfavourable real seismic design ground motion is introduced. Based on the concept, the most unfavourable real seismic design ground motions for rock, stiff soil, medium soil and soft soil site conditions are selected in terms of three typical period ranges of structures. The selected real strong motion records are suitable for seismic analysis of important structures whose failure or collapse will be avoided at a higher level of confidence during the strong earthquake, as they can cause the greatest damage to structures and thereby result in the highest damage potential from an extended real ground motion database for a given site. In addition, this paper also presents the real input design ground motions with medium damage potential, which can be used for the seismic analysis of structures located at the area with low and moderate seismicity. The most unfavourable real seismic design ground motions are verified by analysing the seismic response of structures. It is concluded that the most unfavourable real seismic design ground motion approach can select the real ground motions that can result in the highest damage potential for a given structure and site condition, and the real ground motions can be mainly used for structures whose failure or collapse will be avoided at a higher level of confidence during the strong earthquake. Copyright © 2007 John Wiley & Sons, Ltd.     

Analysis of Applicability of Seismic Intensity Estimation Using Fourier Spectrum of Ground Motions for Iranian Earthquakes

The intensity scales in different forms provide valuable information on regional earthquake effects. In this paper, a theoretical model which has been developed recently for seismic intensity estimation is re-examined by employing strong motion records from ten Iranian earthquakes. The analysis results confirmed the capability of the implemented method to estimate the seismic intensity in terms of the MMI scale based on a Fourier spectrum in the study area. The predicted intensity values were compared with another technique utilizing peak ground velocity (PGV) as a predictor. To reveal the high potential of the adopted approach, the theoretical isoseismal map was developed for the 1978 Tabas, Iran earthquake (Mw = 7.4) based on a stochastic finite-fault modelling of ground motions. Results showed good compatibility of predicted intensity values while the historical earthquake records are not enough for a given site.     

Constant‐ductility response spectra for sequential earthquake and tsunami loading

Simplified approaches for examining structural system response under sequential earthquake and tsunami loading are helpful for understanding response trends. To aid understanding, nonlinear (constant‐ductility) response spectra are developed for elastoplastic single degree of freedom systems subjected to seismic loads followed by hydrodynamic tsunami loads. The forcing function is composed of long‐duration earthquake motion concatenated with a range of tsunami hydrodynamic forces that are proportional to the pseudo‐spectral acceleration produced by the earthquake motion. The constant‐ductility spectra are thus constructed for scenarios where the loading imposed by one hazard is not dominant over the other. The spectra and basic intensity measures indicate that the amplification of response for sequential earthquake and tsunami loading over the earthquake only case is most significant for systems with long natural periods and high‐ductility capacity under seismic loading. Copyright © 2017 John Wiley & Sons, Ltd.     

The effects of repeated earthquake ground motions on the non‐linear response of SDOF systems

In many parts of the world, the repetition of medium–strong intensity earthquake ground motions at brief intervals of time has been observed. The new design philosophies for buildings in seismic areas are based on multi‐level design approaches, which take into account more than a single damageability limit state. According to these approaches, a sequence of seismic actions may produce important consequences on the structural safety. In this paper, the effects of repeated earthquake ground motions on the response of single‐degree‐of‐freedom systems (SDOF) with non‐linear behaviour are analysed. A comparison is performed with the effect of a single seismic event on the originally non‐damaged system for different hysteretic models in terms of pseudo‐acceleration response spectra, behaviour factor q and damage parameters. The elastic–perfect plastic system is the most vulnerable one under repeated earthquake ground motions and is characterized by a strong reduction of the q‐factor. A moment resisting steel frame is analysed as well, showing a reduction of the q‐factor under repeated earthquake ground motions even larger than that of an equivalent SDOF system. Copyright © 2002 John Wiley & Sons, Ltd.     

河北及邻区地震烈度衰减关系研究

地震震动的衰减关系在地震区划和工程场地的安全性评估过程中是不可或缺的。利用河北及周边区域历史地震的等震线资料,运用统计回归的分析方法,得到统计回归方程及地震烈度衰减关系,与其他烈度衰减关系进行对比分析,并与地震应急指挥技术系统软件及地震烈度分布资料进行对比,从而得到适用于河北及周边地区的地震烈度衰减关系。