Prediction of the force–drift envelope for RC columns in flexure by the CAE method

A non‐parametric empirical approach, called the conditional average estimator (CAE) method, has been applied for the prediction of the normalized lateral force–drift envelope of reinforced concrete (RC) rectangular columns, as well as their characteristic drifts (effective yield drift, capping drift and ultimate drift), and drift‐related parameters (the ratio between the effective yield drift and elastic drift, and two ductility measures). A subset of the PEER RC column database was used. Five input parameters were employed: axial load index, index related to confinement, shear span index, concrete compressive strength, and longitudinal reinforcement index. The results suggest that the relations between the input and output parameters are complex, and that it is difficult to isolate the influence of a single parameter. Nevertheless, some trends were observed. The axial load index is the most influential input parameter. All the results decrease with an increasing axial load index, whereas they increase with an increasing longitudinal reinforcement index. An increase in the index related to confinement results in increases in the ultimate drift and in ductility. The influence of the shear span index is the most complex. The influence of the concrete strength is small with the exception of two output parameters related to elastic drift, which substantially decrease with increasing strength. The dispersion of the results is relatively large. The results of the predictions can be used for mathematical modelling of moment–rotation backbone curves for plastic hinges, and for the estimation of the deformation capacity of columns in seismic performance assessments. Copyright © 2007 John Wiley & Sons, Ltd.     

Hysteretic energy dissipation capacity and the cyclic to monotonic drift ratio for rectangular RC columns in flexure

Predictions of energy dissipation capacity and of the deterioration of deformation capacity due to cumulative damage have been made by means of a non‐parametric empirical approach, called the conditional average estimator method, using empirical data on rectangular reinforced concrete columns that failed in flexure. Five input parameters were used: axial load index, index related to confinement, shear span index, concrete compressive strength, and longitudinal reinforcement index. The energy capacity was expressed in three different normalized forms and the deterioration of deformation capacity was defined as the ratio of the cyclic to the monotonic ultimate drift. The longitudinal reinforcement index, the index related to confinement, and the axial load index are the most influential input parameters in the case of energy capacity, whereas the latter two indices exhibit the most significant influence in the case of the drift ratio. Energy capacity decreases with an increasing axial load index, whereas it increases with increasing longitudinal reinforcement and with better confinement. In the case of the shear span index, the trend is more complex. Normal concrete has a higher energy dissipation capacity than high‐strength concrete. Similar trends are observed for the drift ratio, with the exception of the influence of the axial load index, where the trend is opposite. The dispersion of the results is high. Copyright © 2008 John Wiley & Sons, Ltd.     

Dynamic collapse analysis for a reinforced concrete frame sustaining shear and axial failures

Shaking table test results from a one‐story, two‐bay reinforced concrete frame sustaining shear and axial failures are compared with nonlinear dynamic analyses using models developed for the collapse assessment of older reinforced concrete buildings. The models provided reasonable estimates of the overall frame response and lateral strength degradation; however, the measured drifts were underestimated by the models. Selected model parameters were varied to investigate the sensitivity of the calculated response to changes in the drift at shear failure, rate of shear strength degradation, and drift at axial failure. For the selected ground motion, the drift at shear failure and rate of shear strength degradation did not have a significant impact on the calculated peak drift. By incorporating shear and axial‐load failure models, the analytical model is shown to be capable of predicting the axial‐load failure for a hypothetical frame with three nonductile columns. Improvements are needed in drift demand estimates from nonlinear dynamic analysis if such analyses are to be used in displacement‐based performance assessments. Copyright © 2008 John Wiley & Sons, Ltd.     

2017年8月8日九寨沟7.0级地震长波辐射异常特征

通过距平方法,研究2017年8月8日九寨沟7.0级地震前震中所在区域（95.00°—110.00°E,25.00°—45.00°N）长波辐射时空演化特征,研究结果表明:①2017年7月,去除背景之后的长波辐射场在震区附近出现显著增强现象,增强区域基本走向与地质构造走向一致,其主体区域沿着巴颜喀拉块体南缘边界带,重要分支横跨巴颜喀拉块体,直接延伸至九寨沟7.0级地震震中;②紧邻九寨沟7.0级地震震中的4个格点在去除背景变化后的长波辐射时序曲线变化特征基本一致,即在2017年7月出现显著大于其他月份的现象。     

钢筋混凝土柱的破坏形态及变形能力研究

对钢筋混凝土（RC）柱在地震作用下的变形性能进行量化,本文从太平洋地震研究中心柱数据库中收集到123根RC柱抗震性能试验数据,提出基于参数剪跨比和弯剪比的RC柱破坏形态判别标准;在弯曲破坏、弯剪破坏、剪切破坏三种破坏形态下,研究了轴压比、剪跨比、配箍特征值等参数对位移角的显著性影响,通过回归分析归纳出三种破坏形态下屈服位移角和极限位移角的回归方程,回归系数显著性概率均小于0.05。结果表明:本文提出的RC柱破坏形态判别标准准确度高,适应性强;位移角线性回归方程具有合理性。     

Numerical study on factors that influence the in‐plane drift capacity of unreinforced masonry walls

Displacement‐based assessment procedures require as input reliable estimates of the deformation capacity of all structural elements. For unreinforced masonry (URM) walls, current design codes specify the in‐plane deformation capacity as empirical equations of interstory drift. National codes differ with regard to the parameters that are considered in these empirical drift capacity equations, but the inhomogeneity of datasets on URM wall tests renders it difficult to validate the hypotheses with the currently available experimental data. This paper contributes to the future development of such empirical relationships by investigating the sensitivity of the drift capacity to the shear span, the aspect ratio, the axial load ratio, and the size of the wall. For this purpose, finite element models of URM walls are developed in Abaqus/Explicit and validated against a set of experimental results. The results show that the axial load ratio, the shear span, and the wall size are among the factors that influence the drift capacity the most. Empirical equations are mainly derived from test results on small walls, and the numerical results suggest that this can lead to a significant overestimation of the drift capacity for larger walls.     

Analytical and empirical models for predicting the drift capacity of modern unreinforced masonry walls

Displacement‐based seismic assessment of buildings containing unreinforced masonry (URM) walls requires as input, among others, estimates of the in‐plane drift capacity at the considered limit states. Current codes assess the drift capacity of URM walls by means of empirical models with most codes relating the drift capacity to the failure mode and wall slenderness. Comparisons with experimental results show that such relationships result in large scatter and usually do not provide satisfactory predictions. The objective of this paper is to determine trends in drift capacities of modern URM walls from 61 experimental tests and to investigate whether analytical models could lead to more reliable estimates of the displacement capacity than the currently used empirical models. A recently developed analytical model for the prediction of the ultimate drift capacity for both shear and flexure controlled URM walls is introduced and simplified into an equation that is suitable for code implementation. The approach follows the idea of plastic hinge models for reinforced concrete or steel structures. It explicitly considers the influence of crushing due to flexural or shear failure in URM walls and takes into account the effect of kinematic and static boundary conditions on the drift capacity. Finally, the performance of the analytical model is benchmarked against the test data and other empirical formulations. It shows that it yields significantly better estimates than empirical models in current codes. The paper concludes with an investigation of the sensitivity of the ultimate drift capacity to the wall geometry, static, and kinematic boundary conditions.     

Seismic behavior and strength capacity of steel tube‐reinforced concrete composite columns

The steel tube‐reinforced concrete (ST‐RC) composite column is a novel type of composite column, which consists of a steel tube embedded in RC. In this paper, the seismic behavior of ST‐RC columns is examined through a series of experiments in which 10 one‐third scale column specimens were subjected to axial forces and lateral cyclic loading. The test variables include the axial force ratio applied to the columns and the amount of transverse reinforcement. All specimens failed in a flexural mode, showing stable hysteresis loops. Thanks to the steel tube and the high‐strength concrete it is filled with, the ST‐RC column specimens had approximately 30% lower axial force ratios and 22% higher maximum bending moments relative to the comparable RC columns when subjected to identical axial compressive loads. The amount of transverse reinforcement made only a small difference to the lateral load‐carrying capacity but significantly affected the deformation and energy dissipation capacity of the ST‐RC columns. The specimens that satisfied the requirements for transverse reinforcement adopted for medium ductile RC columns as specified by the Chinese Code for Seismic Design of Buildings (GB 50011‐2010) and EuroCode 8 achieved an ultimate drift ratio of around 0.03 and a displacement ductility ratio of approximately 5. The design formulas used to evaluate the strength capacity of the ST‐RC columns were developed on the basis of the superposition method. The predictions from the formulas showed good agreement with the test results, with errors no greater than 10%. Copyright © 2013 John Wiley & Sons, Ltd.     

CFRP布约束增强高强混凝土柱抗震性能数值分析

采用地震工程开源模拟软件OpenSees（Open System for Earthquake Engineering Simulation）对CFRP（Carbon Fiber Reinforced Polymer,碳纤维增强复合材料）布加固高强钢筋混凝土方柱的抗震性能进行了数值分析。采用Steel02Material和Concrete02Material材料本构模型模拟了CFRP布加固高强混凝土方柱的抗震性能;在此基础上,进一步研究了轴压比和剪跨比这2个因素对试件抗震性能的影响。将所得数值分析结果与相同条件下的试验结果对比后发现：基于Steel02 Material和Concrete02 Material材料本构,利用OpenSees,可以较好地模拟CFRP布加固高强混凝土方柱的抗震性能,并且与试验结果（滞回曲线、骨架曲线、水平承载力和位移延性系数）能够较好地吻合,从而说明该数值分析方法还可以准确地反映出轴压比和剪跨比对高强混凝土柱抗震性能的影响规律。     

Assessment indices for the seismic vulnerability of existing R.C. buildings

The seismic vulnerability of old multi‐storey reinforced concrete (R.C.) buildings reinforced with substandard details is assessed as a function of interstorey drift demand imposed by the design earthquake while considering brittle termination of elastic response of the critical members of the structure due to a premature shear failure. Interstorey drift demand is related to column and wall translational stiffnesses which are expressed through analytical derivations in terms of the floor area ratios of gravity and lateral load bearing members in the critical floor. Interstorey drift capacity is related to the available transverse reinforcement and the axial load ratio of the vertical members. The significance of the area ratio of vertical members in the typical floor as an index of vulnerability is explored with reference to the limitations in the value of axial load ratio used in R.C. design in order to secure ductile flexural behavior, and also with reference to the stability index of gravity load bearing members. Interstorey Drift Spectra are derived for the existing R.C. buildings suitable for rapid seismic vulnerability screening but also as a guide for rehabilitation of the existing structures. Lightly reinforced or substandard reinforced concrete buildings that reportedly collapsed during previous earthquakes are used as example case studies in order to calibrate the proposed methodology. Copyright © 2010 John Wiley & Sons, Ltd.     

钢筋混凝土柱对应于各地震损伤状态的侧向变形计算

采用半经验半理论的方法对以受弯为主的钢筋混凝土柱对应于各主要损伤状态的侧向变形进行了研究。本文研究的主要损伤状态包括屈服、混凝土保护层压碎、剥落、纵向受力钢筋屈曲、极限状态五个状态。首先建立了各损伤状态下柱截面受压区高度的计算方法。接着,利用对美国太平洋地震工程研究中心(PEER)建立的钢筋混凝土柱的试验数据库的统计分析,采用平截面假定和钢筋混凝土受弯构件的塑性铰理论推出了混凝土保护层压碎时压区边缘混凝土的应变大小,混凝土保护层剥落、纵筋屈曲和进入极限状态时核心区混凝土边缘的压应变大小,进而建立了钢筋混凝土柱对应于各损伤状态的变形计算方法。利用本文提出的方法得到的变形计算值与PEER提供的试验数据在统计意义上有较好的一致性。该方法可为钢筋混凝土柱基于位移的抗震设计和抗震性能评价提供依据。     

型钢混凝土剪力墙抗震性能影响参数研究

型钢混凝土剪力墙是一种广泛应用于高层混合结构中的剪力墙形式。本文采用通用有限元程序ADINA,以边缘构件含钢率为主要参数,对不同剪跨比的几组剪力墙承载力和变形能力进行了分析,并与考虑了剪力墙混凝土等级、轴压比、配筋率和边缘约束指标等参数影响的剪力墙性能进行了比较研究。结果表明,在高层结构中采用较高强度的混凝土是有利的,但剪力墙的轴压比需要严格限制,且墙体配筋率并不是提高其抗震性能的有效手段。在高层混合结构剪力墙中,通过边缘构件设置型钢可有效增加墙体延性,且边缘约束构件的约束指标可取0.32左右。     

高强混凝土框架柱的地震损伤模型

本文首先讨论了现有的几种地震损伤模型及其特点,然后计算出试验框架柱累积滞回耗能随加载循环水平的变化,分析和讨论了轴压比、箍筋形式、配箍率、纵向配筋率、混凝土强度等级以及剪跨比对累积滞回耗能的影响。根据现有的损伤模型,对试验框架柱的损伤指数进行了分析比较,给出了符合高强混凝土框架柱和普通混凝土框架柱的地震损伤模型。根据损伤指数随加载循环水平的变化规律,分析和讨论了剪跨比、轴压比以及配箍率对损伤的影响。最后通过对各地震损伤模型的比较分析,提出了高强混凝土框架柱的地震损伤模型。     

Modelling of R/C members accounting for shear failure localisation: Hysteretic shear model

Reinforced concrete (R/C) frame buildings designed according to older seismic codes represent a large part of the existing building stock worldwide. Their structural elements are often vulnerable to shear or flexure‐shear failure, which can eventually lead to loss of axial load resistance of vertical elements and initiate vertical progressive collapse of a building. In this study, a hysteretic model capturing the local shear response of shear‐deficient R/C elements is described in detail, with emphasis on post‐peak behaviour; it differs from existing models in that it considers the localisation of shear strains after the onset of shear failure in a critical length defined by the diagonal failure planes. Additionally, an effort is made to improve the state of the art in post‐peak shear response modelling, by compiling the largest database of experimental results for shear and flexure‐shear critical R/C columns cycled well beyond the onset of shear failure and/or up to the onset of axial failure, and developing empirical relationships for the key parameters defining the local backbone post‐peak shear response of such elements. The implementation of the derived local hysteretic shear model in a computationally efficient beam‐column finite element model with distributed shear flexibility, which accounts for all deformation types, will be presented in a companion paper.     

型钢高强混凝土柱轴压比限值的试验研究

通过20个型钢高强混凝土柱的低周反复加载试验对其受力性能进行了研究，分析了剪跨比、轴压比、配箍率以及混凝土强度对型钢高强混凝土柱延性的影响，提出了不同剪跨比、不同配箍率的型钢高强混凝土柱的轴压比限值。其中，剪跨比大于2．0的型钢高强混凝土柱的轴压比限值由大、小偏心界限破坏时力的平衡条件并结合试验结果确定，而剪跨比小于2．0的型钢高强混凝土柱的轴压比限值则通过与剪跨比大于2．0的型钢高强混凝土柱的延性对比加以确定。     

关于日本框架柱受剪承载力公式的讨论

通过对日本抗震设计规范中有关钢筋混凝土框架柱受剪承载力代表性公式的研究，凸现了由经验公式到基于桁架一拱模型建立的发展趋势。对各公式中所包括的影响框架柱受剪承载力的主要因素(如剪跨比、轴压比、配箍率、混凝土强度、纵筋率等)进行了深入讨论，并采用框架柱受剪承载力试验数据考察了各个公式的有效性。     

底部放置聚苯板的预制剪力墙抗震性能试验研究

为研究底部放置聚苯乙烯硬泡沫板的抗震性能,对3个剪跨比2.0的两端设置后浇段、底部放置聚苯乙烯硬泡沫板的预制剪力墙试件以及1个相同剪跨比的现浇剪力墙试件进行了拟静力试验。试验结果表明:预制剪力墙底部放置硬聚苯乙烯泡沫板的试件,破坏形态为后浇段与预制剪力墙脱开、后浇段受压破坏;底部放置聚苯板的预制剪力墙试件承载力小于现浇剪力墙试件,耗能能力接近或大于现浇剪力墙试件;各试件的极限位移角为1/98~1/81;预制剪力墙试件的屈服刚度及峰值刚度均比现浇剪力墙试件降低27%~75%,水平分布钢筋未伸入后浇段的试件比伸入后浇段的试件刚度降低更多,后浇段短的试件比后浇段长的试件刚度降低更多。预制试件轴压力主要由后浇段承担,名义屈服及峰值水平力时,钢筋应变分布不符合平截面假定。     

圆不锈钢管混凝土短柱轴压承载力性能研究

为了研究圆不锈钢管混凝土柱轴压承载力性能,在试验的基础上,利用有限元软件ABAQUS建立合理的有限元模型,并进行不同混凝土强度和约束效应系数参数化分析及不锈钢管和核心混凝土的轴力分配研究.结果表明:壁厚相同时,CFSST短柱的极限荷载增大幅度由大到小为:30MPa增加到40 MPa,50 MPa增加到60 MPa,40...     

The effective stiffness of modern unreinforced masonry walls

Code design of unreinforced masonry (URM) buildings is based on elastic analysis, which requires as input parameter the effective stiffness of URM walls. Eurocode estimates the effective stiffness as 50% of the gross sectional elastic stiffness, but comparisons with experimental results have shown that this may not yield accurate predictions. In this paper, 79 shear‐compression tests of modern URM walls of different masonry typologies from the literature are investigated. It shows that both the initial and the effective stiffness increase with increasing axial load ratio and that the effective‐to‐initial stiffness ratios are approximately 75% rather than the stipulated 50%. An empirical relationship that estimates the E‐modulus as a function of the axial load and the masonry compressive strength is proposed, yielding better estimates of the elastic modulus than the provision in Eurocode 6, which calculates the E‐modulus as a multiple of the compressive strength. For computing the ratio of the effective to initial stiffness, a mechanics‐based formulation is built on a recently developed analytical model for the force‐displacement response of URM walls. The model attributes the loss in stiffness to diagonal cracking and brick crushing, both of which are taken into account using mechanical considerations. The obtained results of the effective‐to‐initial stiffness ratio agree well with the test data. A sensitivity analysis using the validated model shows that the ratio of effective‐to‐initial stiffness is for most axial load ratios and wall geometries around 75%. Therefore, a modification of the fixed ratio of effective‐to‐initial stiffness from 50% to 75% is suggested.     

Seismic behavior of outrigger truss-wall shear connections using multiple steel angles

An experimental investigation on the seismic behavior of a type of outrigger truss-reinforced concrete wall shear connection using multiple steel angles is presented. Six large-scale shear connection models, which involved a portion of reinforced concrete wall and a shear tab welded onto a steel endplate with three steel angles, were constructed and tested under combined actions of cyclic axial load and eccentric shear. The effects of embedment lengths of steel angles, wall boundary elements, types of anchor plates, and thicknesses of endplates were investigated. The test results indicate that properly detailed connections exhibit desirable seismic behavior and fail due to the ductile fracture of steel angles. Wall boundary elements provide beneficial confinement to the concrete surrounding steel angles and thus increase the strength and stiffness of connections. Connections using whole anchor plates are prone to suffer concrete pry-out failure while connections with thin endplates have a relatively low strength and fail due to large inelastic deformations of the endplates. The current design equations proposed by Chinese Standard 04G362 and Code GB50011 significantly underestimate the capacities of the connection models. A revised design method to account for the influence of previously mentioned test parameters was developed.