双规准化地震动加速度反应谱研究

本文提出了双规准反应谱的概念。在统计了美国西部大量强震记录的基础上,分别研究了规准反应谱和双规准反应谱的特性,并进行了详细的对比分析。研究结果表明,双规准反应谱比通常的规准反应谱有更好的规律性,这不仅有利于认识地震动的特性,还可使基于场地的抗震设计反应谱大大简化,更便于广大工程设计人员应用。     

竖向地震动加速度反应谱特性

以33次地震中的地表地震动记录为数据基础,考虑场地条件、震级和距离的影响,分别对竖向地震动的加速度规准化反应谱和双规准化反应谱进行了研究。结果表明,规准反应谱明显受到场地条件、震级和震中距的影响,不同场地、距离和震级的平均规准反应谱之间差别显著;相比较而言,不依赖于场地、距离和震级的平均双规准反应谱之间却表现出良好的规律性和一致性。双规准反应谱的统一特性可以为竖向地震动设计谱的预测提供参考依据。     

拟合反应谱峰加速度和峰速度的人造非平稳地震动

为满足重要工程对设计地震动的需要,文中研究了一种考虑场地附近天然地震记录数据相位非平稳特性、同时拟合S0A(T)、PGA和PGV的人造地震动技术,并以新疆玛纳斯县城区基岩场地为例,利用该区域强震记录提取的天然地震动非平稳相位,进行了非平稳人造地震动的合成。研究成果可为拟合反应谱人造地震动的工程应用提供参考。     

拟合峰值速度与目标反应谱的人造地震动

提出一种以绝对加速度反应谱和峰值速度为目标的合成人造地震动时程的方法.该方法首先利用传统的在频域内调整傅里叶幅值谱的方法,生成以给定峰值加速度、反应谱和强度包线为目标的初始加速度时程a(0)g(t);然后利用在时域内叠加窄带时程的方法来进一步调整a(0)g(t),以使其峰值速度逼近目标峰值速度,并且提高对目标反应谱的拟合精度.算例分析结果表明,该算法所得结果具有很高的拟合精度.     

人造地震动反应谱的非线性拟合

为了进一步提高人造地震动时程对目标反应谱的拟合精度和效率,本文提出了一种人造地震动反应谱非线性拟合方法.在人造地震动反应谱非线性拟合过程中,认为Fouricr幅值谱与反应谱调整项之间满足非线性(幂指数)关系.通过比例拉伸和折叠等数值技巧以促使模拟加速度向目标加速度逼近.算例分析结果表明,人造地震动反应谱非线性拟合方法具...     

近断层速度脉冲的地震动特性研究

在搜集了大量近断层具有速度脉冲的记录后,对有速度脉冲和无速度脉冲的记录的反应谱和特征周期进行了对比,将近断层记录的反应谱与我国规范标准反应谱进行了比较, 还将各次地震有速度脉冲记录的反应谱和特征周期与规范标准谱及规范给出的特征周期进行了比较. 通过比较可知,在长周期段（大约在1.5 s以后）,有速度脉冲记录的反应谱值要比无速度脉冲记录的反应谱值大;计算特征周期时,对于近断层记录,T1和T2有后延的趋势, 采用不固定频段的方法计算更加合理; 无论是相对我国规范的Ⅰ类还是Ⅱ类场地, 有速度脉冲记录的特征周期比规范中给出的值都要大,均在规范值的2倍以上.      

人造地震动的时域叠加法和反应谱整体逼近技术

介绍了两种新的人造地震动的加速度反应谱拟合方法:其一是时域叠加法．该方法通过在时程上叠加一谐波时程来调整某一反应谱控制点的值．其特点是交叉干扰小，计算量小且能兼顾强度包线的要求；其二是反应谱整体逼近法．其特点是在调整某一由幅值谱Ak及其相位谱k(k＝0，1，2，，n)决定的时程Ra(t)时，用反应谱与目标谱在各个控制点上相对误差Ej(j＝1，2，3，，M)的均方根值Vr＝是否减小来判定任一幅值谱Ak调整的方向．本文指出，由于Ej及Vr均是Ak及k的函数，所以，合成加速度时程中的反应谱拟合问题可变成寻找Vr极小点的数学问题．时域叠加法受最高截止频率的限制，不适用于反应谱高频部分的拟合．反应谱整体逼近法受FFT算法频率分布特征的限制，使反应谱低频部分的控制点密度不能太大．大量的试算结果表明，以上两种方法相互补充，可取得良好的拟合效果．文中还指出，由于有了较好的反应谱拟合方法，可在反应谱拟合的同时，对加速度时程的峰值加速度及峰值速度进行拟合．      

地震动反应谱与相位差谱的关系

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     

地震动反应谱变异系数分析

利用随机振动理论,分别考虑3种地震动随机过程模型,本文对反应谱变异系数及相关问题进行了深入分析。研究结果表明：在一定范围内,地震动模型、场地条件和结构体系阻尼比对结构加速度反应越零率有明显影响,但这三者对反应谱变异系数的量值影响不大。在工程设计中,可以采用白噪声模型按本文给出公式计算反应谱变异系数。     

Bi-normalized response spectral characteristics of the 1999 Chi-Chi earthquake

To develop uniform and seismic environment-dependent design spectrum, common acceleration response spectral characteristics need to be identified. In this paper, a bi-normalized response spectrum (BNRS) is proposed, which is defined as a spectrum of peak response acceleration normalized with respect to peak acceleration of the excitation plotted vs. the natural period of the system normalized with respect to the spectrum predominant period, Tp. Based on a statistical analysis of records from the 1999 Chi-Chi earthquake, the conventionally normalized response spectrum(NRS) and the BNRS are examined to account for the effects of soil conditions, epicentral distance, hanging wall and damping. It is found that compared to the NRS, the BNRS is much less dependent on these factors. Finally, some simple relationships between the BNRS for a specified damping ratio and that for a damping ratio of 5%, and between the spectra predominant period and epicentral distance for different soil types are provided.     

Bi-normalized response spectra and seismic intensity in Bucharest for 1986 and 1990 Vrancea seismic events

The Vrancea subcrustal earthquakes of August 30,1986 and May 30,1990 are the two most recent seismic events that have occurred in Romania with moment magnitudes M W ≥ 6.9.The spectral analysis of the strong ground motions recorded in Bucharest reveals that despite small differences in magnitude between the 1986 and 1990 earthquakes,their frequency contents are very different,sometimes even opposing.The main focus of this study is to conduct a comparative analysis of the response spectra in terms of the bi-normalized response spectra(BNRS) proposed by Xu and Xie(2004 and 2007) for strong ground motions recorded in Bucharest during these two seismic events.The mean absolute acceleration and relative velocity response spectra for the two earthquakes are discussed and compared.Furthermore,the mean bi-normalized absolute acceleration and normalized relative velocity response spectra with respect to the control period T C are computed for the ground motions recorded in Bucharest in 1986 and 1990.The predominant period T P is also used in this study for the normalization of the spectral period axis.Subsequently,the methodology proposed by Martinez-Perreira and Bommer(1998) is applied in order to estimate the seismic intensity of the two events.The results are discussed and several conclusions regarding the possibility of using the bi-normalized response spectra(BNRS) are given.     

不同地震水准反应谱之间的关系和罕遇地震作用设计反应谱的确定

不同地震作用水准的设计反应谱长期以来一直采用各水准谱形完全一致的假定。这与地震危险性分析的一般结论不符。《建筑抗震设计规范》(GB50011-2001)对此作出了修订。本文基于设计反应谱的三参数标定模型推导了罕遇和多遇地震作用设计反应谱的关系，指出两者谱值之比在高频、中频和低频段分别对应于峰值加速度、速度和位移之比。引入地震动衰减规律进行了罕遇和多遇地震作用设计谱关系的近似估计，提出了基于多遇地震作用设计谱确定罕遇地震作用设计谱的调整方案，验证了现行规范将反应谱特征周期适当延长以得到罕遇地震作用设计谱的做法的合理性。     

地震反应谱初探

在计算地震荷载中,设计的依据是常规反应谱理论.然而,当质点间出现刚体移动时,用上述理论计算会出现奇异点.本文利用相对加速度进行计算,将常规反应谱理论进行修正,所得结论既偏于安全,又弥补常规反应谱的不足。     

集集地震地震动频谱参数研究

地震动的频谱特征是影响结构动力反应的重要因素。以集集地震动记录为数据基础,对反映地震动频谱特征的4个参数周期(反应谱卓越周期Tp,平滑化反应谱卓越周期To,傅氏幅值谱平均周期Tm和反应谱特征周期Tg)进行了研究。依据理论模型,经非线性回归分析,给出了不同场地上地震动各周期分量随断层距变化的经验公式。结果表明,不同的频谱参数周期反映地震动不同的频谱特征;同一场地上各周期随断层距的增大而增大;To和Tm具有较好的可估性。     

Revisiting design earthquake spectra

For several decades, seismologists and engineers have been struggling to perfect the shape of design spectra, analyzing recorded signals, and speculating on probabilities. This research effort produced several improvements, for example, suggesting to adopt more than one period to define a spectral shape or proposing different spectral shapes as a function of the return period of the design ground motion. The spectral shapes recommended in most modern codes are driven by considerations on uniform hazard; however, the basic assumption of adopting essentially three fundamental criteria, ie, constant acceleration at low periods, constant displacement at long periods, and constant velocity in an intermediate period range, has never been really questioned. In this opinion paper, the grounds of a constant velocity assumption is discussed and shown to be disputable and not physically based. Spectral shape based on different logics are shown to be potentially consistent with the experimental evidence and to lead to possible differences of 100% in terms of displacement and acceleration demand in the wide intermediate period range that characterizes the vast majority of structures. In this framework, the historical development of linear and nonlinear spectra is critically revisited, proposing a novel original way of defining seismic demand.     

Characteristics of response spectra for long-periods of main-shock recordings of the Chi-Chi earthquake

Current practice uses predictive models to extrapolate long-period response spectra based on far-field recordings in moderate and weak earthquakes. However, the spectra are not long enough and the data are often not reliable, which means that the seismic design code cannot accurately define seismic design requirements for long-period structures. The near-field recordings in the main-shock of the Chi-Chi earthquake have a large signal-to-noise ratio (SNR), which makes them suitable for studying the long-period acceleration response spectrum up to 20 sec. The acceleration response spectra from 246 stations within 120 km of the causative fault are statistically analyzed in this paper. The influence of distance and site conditions on long-period response spectrum is discussed, and the shapes of the amplification spectra are compared with the standard spectra specified in the seismic design code of China. Finally, suggestions for future revisions to the code are proposed.     

Inelastic spectra to predict period elongation of structures under earthquake loading

Period lengthening, exhibited by structures when subjected to strong ground motions, constitutes an implicit proxy of structural inelasticity and associated damage. However, the reliable prediction of the inelastic period is tedious and a multi‐parametric task, which is related to both epistemic and aleatory uncertainty. Along these lines, the objective of this paper is to investigate and quantify the elongated fundamental period of reinforced concrete structures using inelastic response spectra defined on the basis of the period shift ratio (T_in/T_el). Nonlinear oscillators of varying yield strength (expressed by the force reduction factor, R_y), post‐yield stiffness (a_y) and hysteretic laws are examined for a large number of strong motions. Constant‐strength, inelastic spectra in terms of T_in/T_el are calculated to assess the extent of period elongation for various levels of structural inelasticity. Moreover, the influence that structural characteristics (R_y, a_y and degrading level) and strong‐motion parameters (epicentral distance, frequency content and duration) exert on period lengthening are studied. Determined by regression analyses of the data obtained, simplified equations are proposed for period lengthening as a function of R_y and T_el. These equations may be used in the framework of the earthquake record selection and scaling. Copyright © 2015 John Wiley & Sons, Ltd.     

场地类别划分与抗震设计反应谱的讨论

介绍了新的抗震设计规范(2001—07—20发布，2002—01—01实施)中场地类别划分和地震影响系数的有关内容，指出其中一些不相协调之处。最后，针对不同的问题建议相应的解决办法。