高层钢结构抗震pushover分析的侧向力分布模式及其影响

本文针对高层钢结构抗震Pushover分析的适用性和侧向力分布模式的选取等问题,首先,介绍和分析了Pushover分析常用的五种侧向力分布模式及其本质特征;然后,给出了判断侧向力分布模式合理性的准则;最后,通过对比一座15层的平面钢框架结构在Ⅳ类场地的典型地震动下的非线性时程分析和五种侧向力分布下的Pushover分析中的破坏形式和弹塑性反应,研究了高层钢结构抗震Pushover分析的适用性和各侧向力分布模式的合理性;在此基础上,本文给出了高层钢结构Pushover分析时侧向力分布模式的选取建议。     

基于SDOF体系和高层结构的地震动强度指标研究

合理的地震动强度指标是预测和评价结构抗震响应的重要基础。选取24个周期点的单自由度体系和一个高层框架核心筒长周期结构,基于不同震源机制的100条地震动记录时程分析结果,研究16种地震动强度指标与结构地震响应的相关性,并提出考虑高阶振型影响的改进反应谱相关型地震动强度指标。研究表明：（1）不同地震动强度指标与结构地震响应的相关性差别较大,随着单自由度体系自振周期的增大,地震动强度指标与单自由度体系地震响应的相关性大致呈减小的趋势;（2）对于高层长周期结构,综合对比分析各地震动强度指标分别与顶点最大位移、最大基底剪力、最大层间位移的相关性,从工程实用角度出发,推荐地面运动峰值速度为最佳地震动强度指标;（3）由于高层长周期结构受高阶振型影响显著,采用含有高阶振型因素的反应谱强度指标可提高与结构地震响应的相关性。     

基于IDA法与Pushover法的混凝土核心筒抗震性能对比分析

足够数量地震输入的增量动力分析方法（IDA方法）是目前最为真实和先进的模拟结构抗震性能手段,而静力推覆分析方法（Pushover Analysis方法）操作简单,更为实用,可以较好揭示结构从弹性到屈服直至倒塌过程中构件的工作状态。采用2种方法对钢筋混凝土核心筒算例进行评估,并作对比分析。结果表明,采用IDA方法得到的4个性能水平与Pushover方法得到的指标限值有一定误差,但均在一定范围之内,采用IDA方法得到顶点位移角限值偏大;采用单一侧力模式的Pushover方法无法完全体现高阶振型及地震动等因素的影响,造成Pushover方法分析结果与结构实际弹塑性地震响应有一定差异。     

钢框筒Pushover 析侧向力分布方式的影响比较

钢框筒结构是空间受力结构,Pushover分析时侧向力直接施加在腹板框架上是否合适和对钢框筒设计安全性的影响需要评估。利用SAP2000软件对2个30层钢框筒结构进行了双向地震弹塑性时程分析和四种侧向力分布方式的Pushover分析,并比较了它们的层间位移角、基底剪力、塑性铰分布,以及分析了高度等效分布中高度影响因子k的影响。研究表明:倒三角分布、多振型组合分布(SRSS分布)和高度等效分布与时程分析的结果存在一定的偏差,不足以考虑大震下剪力滞后效应对结构偏下楼层的柱的影响;均匀分布在大震下的塑性铰分布可在一定程度上预测偏下楼层可能的柱铰和梁铰;高度等效分布在中震或大震下过高估计了高阶振型的影响,可考虑k取1.4来减小这种影响。Pushover方法在钢框筒的初步设计中具有一定的价值,宜优先考虑SRSS分布和均匀分布方式,且应重点关注大震下的塑性铰分布,仍建议在Pushover分析基础上用弹塑性时程分析进行双向或三向大震下的校核。     

高阶振型对建筑结构层间位移的影响1

建筑结构层间位移是抗震设计的研究重点。本文基于广义层间位移谱,分析高阶振型对结构最大层间位移角以及对结构层间位移沿无量纲高度分布的影响,并通过调整结构侧向刚度比,分析高阶振型对结构层间位移变形类型的影响。结果表明:随着结构固有周期的增加,仅取一阶振型进行分析将会显著低估结构的最大层间位移角,高阶振型的影响决不能忽视;从结构层间位移沿无量纲高度分布的角度分析,高阶振型将会显著增加结构中上部位的层间位移需要;高阶振型将增加长周期结构的剪切变形和中上部位的弯曲变形需求,但对中下部位弯曲变形的影响并不明显;针对长周期结构的设计和分析,除计算最大层间位移角外,建议考虑层间位移沿结构高度的分布情况。     

汶川地震近断层地震动作用下结构地震响应特征分析

研究了具有不同自振特性的建筑结构在近断层速度脉冲型及非速度脉冲型地震动作用下的结构层间变形分布,揭示了近断层速度脉冲对工程结构地震响应的特殊影响.从汶川M8.0地震近断层强震记录中选取两组典型速度脉冲型记录和非脉冲型记录,根据确定的目标地震动强度水平,利用时域叠加小波函数法对选择的强震记录进行调整,使之与目标地震动水平对应的加速度反应谱保持一致,以此作为结构地震反应分析的地震动输入.选取具有不同自振特征的3层、11层和20层典型钢筋混凝土框架结构,建立有限元分析模型,分别计算在速度脉冲型与非速度脉冲型记录作用下这些结构层间变形分布.研究表明,速度脉冲型记录与非速度脉冲型记录作用下结构层间变形有明显差异,且与结构自振特征有关.就低层结构的层间变形而言,非速度脉冲型记录的影响较速度脉冲型记录的影响大.随着结构自振周期的增加,高阶振型的影响更加明显.与非速度脉冲型记录相比,速度脉冲型记录的结构层间位移反应中值及离散程度较大.速度脉冲型记录更容易激发高层结构的高阶振型,产生较大的层间位移反应.非速度脉冲型记录对中低层结构层间变形影响较大.因此,在开展近断层结构地震影响评价时,应考虑近断层速度脉冲的影响.     

汶川地震近断层地震动作用下 结构地震响应特征分析

研究了具有不同自振特性的建筑结构在近断层速度脉冲型及非速度脉冲型地震动作用下的结构层间变形分布,揭示了近断层速度脉冲对工程结构地震响应的特殊影响. 从汶川M_S8.0地震近断层强震记录中选取两组典型速度脉冲型记录和非脉冲型记录, 根据确定的目标地震动强度水平,利用时域叠加小波函数法对选择的强震记录进行调整, 使之与目标地震动水平对应的加速度反应谱保持一致, 以此作为结构地震反应分析的地震动输入. 选取具有不同自振特征的3层、11层和20层典型钢筋混凝土框架结构, 建立有限元分析模型, 分别计算在速度脉冲型与非速度脉冲型记录作用下这些结构层间变形分布. 研究表明,速度脉冲型记录与非速度脉冲型记录作用下结构层间变形有明显差异, 且与结构自振特征有关.就低层结构的层间变形而言, 非速度脉冲型记录的影响较速度脉冲型记录的影响大. 随着结构自振周期的增加, 高阶振型的影响更加明显. 与非速度脉冲型记录相比,速度脉冲型记录的结构层间位移反应中值及离散程度较大. 速度脉冲型记录更容易激发高层结构的高阶振型, 产生较大的层间位移反应. 非速度脉冲型记录对中低层结构层间变形影响较大.因此, 在开展近断层结构地震影响评价时, 应考虑近断层速度脉冲的影响.      

地震动反应谱与RC框架结构地震响应相关性分析

弹塑性时程分析一般用来评估和验算结构抗震性能,如何选取合适的输入地震动是其中关键工作之一。为给结构弹塑性时程分析选取地震动提供合理的参考参数,本文讨论了地震动反应谱参数与结构地震响应之间的相关性。首先建立了6层和7层两个钢筋混凝土(RC)框架结构数值模型,分别对两个结构进行了大量地震动作用下的时程反应分析,并考察了地震反应特点;然后将结构地震响应与地震动反应谱参数建立关系并进行了相关性分析。结果表明:对RC框架而言,结构地震响应与弹性谱参数相关性较小,与等强度反应谱相关性随标准屈服强度降低而增大,与等延性反应谱相关性随延性增大而增大,而与地震动输入能量谱在标准屈服强度较小时相关性最大。建议RC框架结构在进行地震反应时程分析时,可以参考地震动的弹塑性输入能量谱、等强度速度谱和等延性加速度或位移谱,以选取引起结构不同地震反应水平的输入地震动。本文结果和结论可供结构弹塑性时程分析选取合适的输入地震动参考。     

一种基于位移的改进静力弹塑性分析方法

静力弹塑性分析作为一种新的结构抗震性能评估方法，近些年得到很大的推广。本文在已有的研究基础上，通过一种基于位移控制的多阶振型组合的静力推覆分析，采用自适应的水平加载方式，考虑高阶振型的影响。对一中等高度的结构进行推覆分析，结果表明，与采用不变的水平菏载分布形式的一般静力推覆分析比较，基于本文Pushover分析所得的结构响应与非线性动力时程分析所得结构的响应更为近似，尤其在受结构高阶振型影响较明显的结构层间位移角及层间剪力方面，其结果同动力时程分析所得更为接近。     

关于剪切型多层结构抗震最佳强度分布的探讨

从能量法抗震设计的角度来看,使剪切型结构在地震反应中各层受到均匀一致地震损伤的层屈服剪力分布可称为抗震最佳强度分布。本文由弹塑性地震反应中高次振型成分增加这一现象出发,对剪切型多层结构抗震最佳强度分布的形式进行了探讨。     

A pushover procedure for seismic assessment of buildings with bi-axial eccentricity under bi-directional seismic excitation

A new modal pushover procedure is proposed for seismic assessment of asymmetric-plan buildings under bi-directional ground motions. Although the proposed procedure is a multi-mode procedure and the effects of the higher and torsional modes are considered, the simplicity of the pushover procedure is kept and the method requires only a single-run pushover analysis for each direction of excitation. The effects of the frequency content of a specific ground motion and the interaction between modes at each direction are all considered in the single-run pushover analysis. For each direction, the load pattern is derived from the combined modal story shear and torque profiles. The pushover analysis is conducted independently for each direction of motion (x and y), and then the responses due to excitation in each direction are combined using SRSS (Square Roots of Sum of Squares) combination rule. Accuracy of the proposed procedure is evaluated through two low- and medium-rise buildings with 10% two-way eccentricity under different pairs of ground motions. The results show promising accuracy for the proposed method in predicting the peak seismic responses of the sample buildings.     

The extended N2 method taking into account higher mode effects in elevation

The N2 method has been extended in order to take into account higher mode effects in elevation. The extension is based on the assumption that the structure remains in the elastic range when vibrating in higher modes. The seismic demand in terms of displacements and storey drifts can be obtained by enveloping the results of basic pushover analysis and the results of standard elastic modal analysis. The approach is consistent with the extended N2 method used for plan‐asymmetric buildings. The proposed procedure was applied to three variants of three steel frame buildings used in the SAC project. The structural response was investigated for two sets of ground motions. Different ground motion intensities were used in order to investigate the influence of the magnitude of plastic deformations. The N2 results were compared with the results of nonlinear response‐history analysis, two other pushover‐based methods (modal pushover analysis (MPA) and modified MPA (MMPA)), and pushover analysis without consideration of higher modes. It was found that a considerable influence of higher modes on storey drifts is present at the upper part of medium‐and high‐rise structures. This effect is the largest in the case of elastic behaviour and decreases with ground motion intensity. The higher mode effects also depend on the spectral shape. The approximate methods (extended N2, MPA and MMPA) are able to provide fair estimates of response in the case of the test examples. Accuracy decreases with the height of the building, and with the intensity of ground motion. The N2 results are generally conservative. Copyright © 2011 John Wiley & Sons, Ltd.     

An improved displacement-based adaptive pushover procedure based on factor modal combination rule

An accurate estimation of the applied load pattern is an essential component in each pushover procedure. Recently, a number of adaptive pushover methods have been proposed in which the effects of the higher modes as well as the progressive changes in the dynamic characteristics of structures are taken into account to compute the applied load pattern. The basic shortcoming of these advanced pushover methods is related to employing the quadratic modal combination rule, whereby the sign reversals of the modal load vectors are suppressed. In this study, an improved displacement-based adaptive pushover method is developed in which the applied load pattern is computed using the factor modal combination rule(FMC). In the proposed procedure, multiple load patterns, depending on the number of the modes considered, are determined in order to take into account the sign reversals of different modal load vectors. The accuracy of the proposed method is verifi ed for seven moment resisting frame buildings of 3, 9 and 20 stories with regularity or vertically geometric and mass irregularities subjected to 60 earthquake ground motion records. The results showed that the proposed methodology is capable of reproducing the peak dynamic responses with very good accuracy.     

An improved modal pushover analysis procedure for estimating seismic demands of structures

The pushover analysis （POA） procedure is difficult to apply to high-rise buildings, as it cannot account for the contributions of higher modes. To overcome this limitation, a modal pushover analysis （MPA） procedure was proposed by Chopra et al. （2001）. However, invariable lateral force distributions are still adopted in the MPA. In this paper, an improved MPA procedure is presented to estimate the seismic demands of structures, considering the redistribution of inertia forces after the structure yields. This improved procedure is verified with numerical examples of 5-, 9- and 22-story buildings. It is concluded that the improved MPA procedure is more accurate than either the POA procedure or MPA procedure. In addition, the proposed procedure avoids a large computational effort by adopting a two-phase lateral force distribution..     

A method for computing interstory drift spectra with consideration of gravity effects

Vertical loads such as gravity may have an important influence on the seismic response of buildings. In this paper, the continuous shear-beam model is extended to study the seismic demand of shear buildings with consideration of the gravity load effect under near-field ground motions. An analytical solution of the free motion equation of as gravity shear beam model is provided in terms of a Bessel series. A method for computing interstory drift spectra is proposed. The interstory drift spectra for two near-field records with distinct pulses are presented to illustrate the effects of gravity and the damping ratio. The interstory drift spectra are also used to analyze the spectral characteristics of near fault ground motion during the 2008 Wenchuan earthquake. The effects of the gravity load ratio, damping ratio and higher modes are investigated and discussed.     

Pushover analysis of asymmetric-plan buildings based on distribution of the combined modal story shear and torsional moment

A pushover procedure with a load pattern based on the height-wise distribution of the combined modal story shear and torsional moment is proposed to estimate the seismic response of 3D asymmetric-plan building frames. Contribution of the higher modes and torsional response of asymmetric-plan buildings are incorporated into the proposed load pattern. The proposed pushover method is a single-run procedure, which enables tracing the nonlinear response of the structure during the analysis and averts the elusiveness of conducting multiple pushover analyses. The proposed method has been used to estimate the response of two moment-resisting building frames with 9 and 20 stories. The obtained results indicate the appropriate accuracy and efficiency of the proposed procedure in estimating the trend of the drift profiles of the structures resulted from nonlinear time history analyses.     

The extended consecutive modal pushover procedure for estimating the seismic demands of two-way unsymmetric-plan tall buildings under influence of two horizontal components of ground motions

This paper aims to extend the consecutive modal pushover (CMP) procedure for estimating the seismic demands of two-way unsymmetric-plan tall buildings subjected to bi-directional seismic ground motions taking the effects of higher modes and torsion into account. Multi-stage and single-stage pushover analyses are carried out in both X and Y directions. Inelastic seismic responses obtained by multi-stage and single-stage pushover analyses for X and Y directions are combined using the SRSS combination scheme. The final seismic responses are determined by enveloping the combined results of multi-stage and single-stage pushover analyses. To evaluate the accuracy of the proposed procedure, it is applied to two-way unsymmetric-plan tall buildings which include torsionally stiff and torsionally flexible systems. The results derived from the CMP procedure are compared with those from nonlinear response history analysis (NL-RHA), as a benchmark solution. Moreover, the advantages of the proposed procedure are demonstrated by comparing the results derived from the CMP to those from pushover analysis with uniform and fundamental effective mode distributions. The proposed procedure is able to accurately predict amplification or de-amplification of the seismic displacements at the flexible and stiff edges of the two-way unsymmetric-plan tall buildings by considering the effects of higher modes and torsion. The extended CMP procedure can accurately estimate the peak inelastic responses, such as displacements and storey drifts. The CMP procedure features a higher potential in estimating plastic hinge rotations at both flexible and stiff sides of unsymmetric-plan tall buildings under bi-directional seismic excitation when compared to the uniform and fundamental effective mode force distributions.     

循环往复加载的地下结构Pushover分析方法及其在地震损伤分析中的应用

考虑到地震作用下地下结构往往受到双向往复荷载作用,本文提出了循环往复加载的地下结构Pushover分析方法.介绍了该方法的实施步骤、基本功能与特点.该方法考虑了地震作用下地下结构双向受力的特点,利用多点位移控制的推覆分析算法进行地震作用下正向加载-卸载-反向再加载的全过程分析.该方法将一次循环加载过程近似看作一次地震作用过程,提出了基于循环往复加载Pushover分析的损伤模型,避免了对土-结构整体模型进行复杂的动力相互作用分析;通过一次循环往复加载的Pushover分析,根据结构构件刚度的改变对结构损伤进行有效评估.结合实际工程进行算例分析初步验证了循环往复加载Pushover分析及地震损伤模型的有效性.     

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。     

约束混凝土砌块结构抗震性态研究

性态抗震设计已成为结构抗震设计的发展趋势,本文以约束混凝土砌块结构为对象,在提出约束混凝土砌块墙承载力计算公式的基础上,建立了砌块墙片的恢复力模型。对3座不同层数的典型约束混凝土砌块结构,在代表不同场地类别、不同地震动强度的输入下分别进行了动力非线性时程分析和静力非线性分析。通过计算结果的对比,讨论了2种分析方法中场地类别、地震动强度、静力非线性分析中侧力分布模式等影响,所得结论可以为用静力非线性分析估计砌块结构的抗震性能提供有益的参考依据。