模态静力非线性分析中模态选择的研究

本文应用模态静力非线性分析方法,对多个算例进行了静力非线性分析。比较分析了不同振型组合对计算精度的影响,对模态选择的参数进行了研究,提出采用模态质量参与系数进行模态选择的控制,为模态静力非线性分析方法的推广使用提供参考。另外,分析了结构基本周期对该方法计算精度的影响。     

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。     

Pushover加载模式对圆形双柱墩地震反应的影响

为考察pushover侧向力模式对桥墩地震反应的影响,以圆形双柱墩模型为例,进行了6个地震动作用下的非线性时程分析和4种常用侧向力加载模式的pushover分析,并以时程分析结果的平均值作为对比基准。研究表明,不同侧向力加载模式计算结果存在一定差异,静力法计算结果误差最大;给定振型下的模态法误差较小,在不同轴压比下的计算结果分布规律与时程法的吻合最好;常量加速度法的误差基本介于前述两种模式之间;M-phi曲线法的误差随着轴压比的增大而变大;与时程法相比,模态法的计算结果比其它方法更为合理。     

地下结构地震反应分析拟静力法与动力非线性时程法的比较

以典型的两层三跨地铁地下车站结构为研究对象,采用基于自由场位移场频域等效线性分析结果的反应位移法和反应加速度法分析地下结构的地震弯矩,并与基于ABAQUS软件的地下结构地震反应非线性时程分析的计算结果进行了比较,对比了不同地震动强度、结构刚度及顶板埋深对地下结构地震弯矩的影响。结果表明:输入地震动强度越大,拟静力法与动力非线性时程法计算结果之间的差异越大;地下结构刚度越大,两者之间的差异也越大;中等强度的地震动作用时,相对于动力非线性时程法的计算结果,浅埋结构的拟静力法结果偏大,深埋结构的拟静力法计算结果偏小;反应位移法和反应加速度法的计算结果差异很小。该研究结果对地下结构抗震设计方法的比选具有一定的指导意义。     

基于Pushover方法的漫滩软土区地铁车站抗震分析

为研究地下结构Pushover分析方法在不同条件下的适用性,基于有限元软件平台,建立长江漫滩区地铁车站土-结构二维有限元分析模型,分别采用非线性动力时程分析方法与地下结构Pushover分析方法对5种不同土体刚度模型进行抗震分析。峰值层间位移角与峰值内力的分析结果表明,当土体刚度与结构刚度一致时,地下结构Pushover分析方法计算结果与非线性动力时程分析方法计算结果相近,而当土体刚度小于结构刚度或土体刚度大于结构刚度时,Pushover分析方法计算精度下降。     

钢筋混凝土开洞剪力墙结构抗震非线性有限元分析

本文以钢筋混凝土开洞剪力墙结构为研究对象，建立了该类结构动力非线性有限元分析计算及该类结构静力非线性pushover有限元分析计算的基本过程，并编制了相应的计算机程序．通过与实验分析结果的比较，检验了本文动力非线性有限元分析计算方法的准确程度，验证了静力非线性pushover有限元分析方法应用于开洞剪力墙抗震非线性性能评估的可靠性。     

结构高度对静力弹塑性分析结果的影响

简要介绍了静力弹塑性分析方法(Pushover法)的原理、计算步骤和影响分析结果的主要因素．并通过实例比较了pushover分析结果与非线性动力分析结果,分析了高度、荷载分布模式因素对分析结果的影响。     

RC框架结构地震倒塌易损性分析的实用方法

基于增量动力分析(IDA)的倒塌易损性分析方法是评估建筑结构抗地震倒塌能力的精细方法,但分析过程比较繁杂且非常费时。为了较快地评估建筑结构的抗地震倒塌能力,首先利用静力非线性(pushover)分析,获得结构倒塌能力的初步估计值aS*,然后将每个地面运动记录调整到aS*,对结构进行动力时程分析,记录结构的动力时程反应,利用IDA的思想得到结构的中值数倒塌谱强度?CTS。该方法与传统的增量动力分析方法相比较,可提高计算效率,计算精度也满足要求。     

地震作用下边坡稳定性分析

考虑了边坡岩土体材料的动力特性以及地震特性,利用动力有限元时程分析方法对边坡在地震荷载作用下的动力特性进行了分析,采用最小平均系数对边坡稳定性进行了评价,并与拟静力法的结果进行了对比分析。对某工程实例计算结果表明该分析方法的可行性,可为地震作用下边坡工程设计工作提供一些有益的参考。     

钢筋混凝土结构基于改进能力谱法的地震损伤性能设计

本文基于国内外非线性静力分析方法,阐述了最近由Ｃｈｏｐｒａ和Ｇｏｅｌ提供的改进能力谱法的基本概念和实施步骤;其次,结合文献「１８」中提出的钢筋沸凝土结构地震损伤“三水准”性能目标和改进能力谱法,提出了基于能力谱法的结构地震损伤性能简化设计及验算方法;最后,通过设计例题说明了本文方法的可行性,并将计算结果与时程分析进行了比较,显示了此法的有效性。     

平面不规则混凝土框架结构非线性静力分析侧向力计算方法的研究

针对平面不规则混凝土框架结构，考虑地震作用对其产生的附加扭转振动效应，提出了两种计算侧向力分布的方法。通过对一平面不规则框架结构进行推覆分析，得到各楼层侧移、层间问侧移角和塑性铰分布情况，并与时程分析结果进行了比较分析。结果表明，两种方法推覆分析得到的塑性铰分布情况与时程分析得到的情况相符合，楼层侧移和层间位移角与时程分析结果吻合也较好，并且从结果精度上看，分层法的误差要小一些。     

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..     

结构Pushover分析的侧向力分布及高阶振型影响

Pushover分析方法是逐渐得到广泛应用的一种评估结构抗震性能的简化方法,已被引入我国新的建筑结构抗震设计规范。侧向力分布的选取是结构Pushover分析中的一个关键问题,尤其高阶振型影响显著时其选取直接影响Pushover分析的结果。本文通过拟合规范反应谱,挑选了适用Ⅱ类场地的4条地震动记录和4条人工波,对比了典型地震动下非线性时程分析和采用5种不同侧向力分布的Pushover分析的5层、10层和15层钢筋混凝土结构在不同地震动强度时的反应。通过结构振型参与系数量化了各个结构的高阶振型的影响。研究发现,随着结构层数的增加和地震动强度的增加高阶振型的影响变大,侧向力的选取变得十分重要。本文对在高阶振型影响下钢筋混凝土框架结构的Pushover分析中侧向力的选取提出了建议。     

Modified consecutive modal pushover procedure for seismic investigation of one-way asymmetric-plan tall buildings

The effects of higher modes and torsion have a significant impact on the seismic responses of asymmetric-plan tall buildings.A consecutive modal pushover(CMP) procedure is one of the pushover methods that have been developed to consider these effects.The aim of this paper is to modify the(CMP) analysis procedure to estimate the seismic demands of one-way asymmetric-plan tall buildings with dual systems.An analysis of 10-,15-and 20-story asymmetric-plan buildings is carried out,and the results from the modified consecutive modal pushover(MCMP) procedure are compared with those obtained from the modal pushover analysis(MPA) procedure and the nonlinear time history analysis(NLTHA).The MCMP estimates of the seismic demands of one-way asymmetric-plan buildings demonstrate a reasonable accuracy,compared to the results obtained from the NLTHA.Furthermore,the accuracy of the MCMP procedure in the prediction of plastic hinge rotations is better than the MPA procedure.The new pushover procedure is also more accurate than the FEMA load distribution and the MPA procedure.     

Envelope‐based pushover analysis procedure for the approximate seismic response analysis of buildings

An envelope‐based pushover analysis procedure is presented that assumes that the seismic demand for each response parameter is controlled by a predominant system failure mode that may vary according to the ground motion. To be able to simulate the most important system failure modes, several pushover analyses need to be performed, as in a modal pushover analysis procedure, whereas the total seismic demand is determined by enveloping the results associated with each pushover analysis. The demand for the most common system failure mode resulting from the ‘first‐mode’ pushover analysis is obtained by response history analysis for the equivalent ‘modal‐based’ SDOF model, whereas demand for other failure modes is based on the ‘failure‐based’ SDOF models. This makes the envelope‐based pushover analysis procedure equivalent to the N2 method provided that it involves only ‘first‐mode’ pushover analysis and response history analysis of the corresponding ‘modal‐based’ SDOF model. It is shown that the accuracy of the approximate 16th, 50th and 84th percentile response expressed in terms of IDA curves does not decrease with the height of the building or with the intensity of ground motion. This is because the estimates of the roof displacement and the maximum storey drift due to individual ground motions were predicted with a sufficient degree of accuracy for almost all the ground motions from the analysed sets. Copyright © 2013 John Wiley & Sons, Ltd.     

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.     

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.     

A modal pushover analysis procedure to estimate seismic demands for unsymmetric‐plan buildings

An Erratum has been published for this article in Earthquake Engng. Struct. Dyn. 2004; 33:1429. Based on structural dynamics theory, the modal pushover analysis (MPA) procedure retains the conceptual simplicity of current procedures with invariant force distribution, now common in structural engineering practice. The MPA procedure for estimating seismic demands is extended to unsymmetric‐plan buildings. In the MPA procedure, the seismic demand due to individual terms in the modal expansion of the effective earthquake forces is determined by non‐linear static analysis using the inertia force distribution for each mode, which for unsymmetric buildings includes two lateral forces and torque at each floor level. These ‘modal’ demands due to the first few terms of the modal expansion are then combined by the CQC rule to obtain an estimate of the total seismic demand for inelastic systems. When applied to elastic systems, the MPA procedure is equivalent to standard response spectrum analysis (RSA). The MPA estimates of seismic demand for torsionally‐stiff and torsionally‐flexible unsymmetric systems are shown to be similarly accurate as they are for the symmetric building; however, the results deteriorate for a torsionally‐similarly‐stiff unsymmetric‐plan system and the ground motion considered because (a) elastic modes are strongly coupled, and (b) roof displacement is underestimated by the CQC modal combination rule (which would also limit accuracy of RSA for linearly elastic systems). Copyright © 2004 John Wiley & Sons, Ltd.     

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。