Seismic response of multistory reinforced concrete frame with vertical mass and stiffness irregularities

Irregular buildings behave differently as compared with regular buildings. Seismic design codes have quantified the irregularities in terms of magnitude only ignoring the effect of irregularity location. In the present study, a single parameter to quantify mass, stiffness and strength irregularity in terms of both magnitude and location is proposed on the basis of the dynamic characteristics of the building. Furthermore, building models with different types of irregularity with variation in magnitude and location of irregularity are analyzed by subjecting them to an ensemble of 27 ground motions to create a seismic response databank. In the analysis, the torsional effects generated due to irregularities in the building systems (as per EC 8:2004 provisions) are included. On the basis of regression analysis conducted on this seismic response databank, equations to estimate seismic response parameters such as fundamental period, maximum roof displacement and maximum inter‐story drift ratio etc. are proposed for the irregular buildings in terms of the proposed irregularity index. Finally, applicability of the proposed equations is discussed in brief, and these equations are validated for 2D and 3D building models. Copyright © 2012 John Wiley & Sons, Ltd.     

The modified dynamic‐based pushover analysis of steel moment resisting frames

A modified dynamic‐based pushover (MDP) analysis is proposed to properly consider the effects of higher modes and the nonlinear behavior of the structural systems. For this purpose, first, a dynamic‐based story force distribution (DSFD) load pattern is constructed using a linear dynamic analysis, either time history (THA) or response spectrum (RSA). Performing an initial pushover analysis with the DSFD load pattern, a nonlinearity modification factor (NMF) is calculated to modify the DSFD load pattern. The envelope of the peak responses of the structure obtained from 2 pushover analyses with the modified DSFD load pattern as well as the code suggested first mode load pattern are considered as the final demand parameters of the structural system. The efficiency of the proposed MDP procedure is investigated using the results of nonlinear THA besides some existing pushover procedures. For this purpose, the 2‐dimensional 9‐, 15‐, and 20‐story, SAC steel frame building models are considered for parametric studies using OpenSees program. The results indicate that the proposed MDP‐THA and MDP‐RSA methods can significantly improve the performance of the pushover analysis. Considering the accuracy and calculation efforts, the MDP‐RSA method is strongly suggested as an efficient and applicable method to estimate the nonlinear response demands of steel moment resisting frames.     

A simplified method for collapse capacity assessment of moment-resisting frame and shear wall structural systems

A simplified methodology for predicting the median and dispersion of collapse capacity of moment-resisting frame and shear wall structural systems subjected to seismic excitations is proposed. The method is based on nonlinear static (pushover) analysis. Simple mathematical models denoted as “generic structures” are utilized to model moment-resisting frames and shear walls. After examining a wide range of structural parameters of the generic structures, a comprehensive database of collapse fragilities and pushover curves (using ASCE 7-05 lateral load pattern) are generated. Based on the obtained pushover curves, closed-form equations for estimation of median and dispersion of building collapse fragility curves are developed using multivariate regression analysis. Comparing the estimates of the median collapse capacity calculated from the closed-form equations with the actual collapse capacities determined from nonlinear response-history analysis indicates that the simplified methodology is reliable. The effectiveness of this methodology for predicting the median collapse capacity of frame and wall structures is further demonstrated with two case studies of structural systems designed based on current seismic provisions.     

Seismic evaluation of reduced beam section frames considering connection flexibility

In the present article, the seismic performance of frames with reduced beam section (RBS) connections is evaluated. A key purpose of this study is the inclusion of connections flexibility in the seismic performance of RBS frames. Almost in every research projects carried out on seismic performance and design of RBS frames, the beam‐to‐column connection is typically assumed as fully rigid. The results of nonlinear finite element analysis performed on investigating the local performance of RBS connection reveal that they are within the American Institute of Steel Construction‐defined semirigid connections. Three building frames, including 4, 8 and 16 stories considering the semirigid connection as well as fully rigid connection, are considered. A numerical study of the overall seismic response of the building frames subjected to near as well as far field earthquake ground motions using nonlinear static and/or nonlinear dynamic analysis is presented. Results in terms of inter‐story drifts, total drifts, story shears and shear deformation in panel zone indicate that overlooking the flexibility of beam‐to‐column connections may lead to erroneous conclusions and unsafe seismic behavior that subsequently become significant in some cases. Copyright © 2012 John Wiley & Sons, Ltd.     

Assessment of seismic behaviour of SMRFs with RBS connections by means of mixed‐based state‐space approach

With an intention to implement a reliable numerical implementation of the mixed‐based state‐space strategy for steel structural systems, the paper presents a thorough seismic analysis of steel moment resisting frames (SMRFs) with reduced beam section (RBS) connections. Firstly, a model of beam‐column element inclusive of material and geometric nonlinearities is efficiently utilized derived from appropriate force interpolation functions. Moreover, with the present formulation, non‐prismatic properties of RBS region can be considered without the necessity of heavy discretization of elements. Contribution of panel zone is taken into account by considering a nonlinear rotational spring as well. In addition, the extension of Wen‐Bouc model to capture material inelasticity is applied that is apparently superior to other constitutive behaviour when it leads to both a smooth hysteretic model and rather precisely well‐mannered state‐space depiction capable of conveying several hysteretic features. The state‐space approach is then employed where nodal forces balance and constitutive equations are solved simultaneously. Secondly, three‐dimensional finite element analysis is surveyed to validate proposed macro‐element model. Finally, a set of nonlinear static and transient analyses of four‐ and eight‐storey frames with and without RBS connections are fulfilled. Then, structural demand parameters used to assess the global and local response of designated frames. Copyright © 2008 John Wiley & Sons, Ltd.     

Linear and nonlinear seismic response of a 52‐storey steel frame building

This paper presents the results of a study on the seismic behaviour of a well‐instrumented 52‐storey steel frame building in Los Angeles, California. This building has been subjected to ground motions from several earthquakes among which the records obtained during the 1991 Sierra Madre earthquake and the 1994 Northridge earthquake were selected for this study. Detailed time and frequency domain analyses of the recorded motions from these two earthquakes were conducted to determine the dynamic characteristics of the structure. This information was used to calibrate a three dimensional dynamic computer model of the building. Nonlinear dynamic computer analyses were then employed to investigate the response of the structure during severe ground shaking. The results of this study showed that by performing a linear three‐dimensional analysis, the response of the building during past earthquakes can be reproduced with confidence. The results also show that because of the torsional response of this high‐rise building is not negligible, two‐dimensional analysis is not feasible for reliably predicting its nonlinear response during earthquakes. By further performing a nonlinear three‐dimensional analysis, the state and sequence of damage could also be predicted. The study also included an investigation of the effectiveness of pushover analysis for predicting the nonlinear behaviour of the building. This type of analysis has the deficiency of excluding the participation of higher modes, which is obvious for high‐rise buildings, especially for shaking from near‐field type ground motions. Improvements to the pushover analysis for such a type of shaking were explored. Copyright © 2000 John Wiley & Sons, Ltd.     

Seismic response of plane steel MRF with setbacks: Estimation of inelastic deformation demands

An extensive parametric study on the inelastic seismic response of plane steel moment resisting frames (MRF) with setbacks is presented. A family of 120 such frames, designed according to the European seismic and structural codes, are subjected to an ensemble of 30 ordinary (i.e. without near-fault effects) earthquake ground motions scaled to different intensities in order to drive the structures to different limit states. The statistical analysis of the created response databank indicates that the number of stories, beam-to-column strength ratio, geometrical irregularity and limit state under consideration strongly influence the heightwise distribution and amplitude of inelastic deformation demands. Nonlinear regression analysis is employed in order to derive simple formulae which reflect the aforementioned influences and offer, for a given strength reduction (or behaviour) factor, three important response quantities, i.e. the maximum roof displacement, the maximum interstorey drift ratio and the maximum rotation ductility along the height of the structure. A comparison of the proposed method with the procedures adopted in current seismic design codes reveals the accuracy and efficiency of the former.     

Dynamic amplification factor for progressive collapse resistance analysis of an RC building

Linear static (LS), nonlinear static (NS) and nonlinear dynamic analyses were conducted to estimate the progressive collapse resistance of a reinforced concrete building. The step‐by‐step procedure recommended by the US General Service Administration was used for the LS analysis. Load‐displacement response curves were compared to investigate the force‐based dynamic amplification factor (DAF), which was defined in this study. It was observed that a constant DAF equal to 2·0 was conservative for estimating the collapse resistance of a ductile column‐removed building. However, the LS procedure may fail to appropriately simulate the inelastic response of the building. A capacity curve, constructed from the NS load‐displacement response, may be applied to prediction of the collapse resistance and DAF for a column‐removed building. An analytical method was proposed to demonstrate the dependency of the DAF on hinge model parameters. The proposed method was capable of predicting the collapse resistance and the force‐based DAF of an inelastic structure under vertical downward loadings. Copyright © 2008 John Wiley & Sons, Ltd.     

Seismic nonlinear static new method of spatial asymmetric multi‐storey reinforced concrete buildings

In order to obtain the seismic demands of spatial asymmetric multi‐storey reinforced concrete (r/c) buildings, a new seismic nonlinear static (pushover) procedure that uses inelastic response acceleration spectra is presented in this paper. The latter makes use of the optimum equivalent nonlinear single degree of freedom system, which is used to represent the general spatial asymmetric multi‐storey r/c building. For each asymmetric multi‐storey building, a total of 12 suitable nonlinear static analyses are needed according to the new proposed procedure, whereas at least 96 suitable nonlinear dynamic analyses are required in the case of nonlinear response history analysis (NLRHA), respectively. In addition, the present paper provides answers to a series of further questions with reference to the spatial action of the two horizontal seismic components in the static nonlinear (pushover) analyses, as well as to the documented calculation of the available behaviour factor of the asymmetric multi‐storey r/c building. According to the paper, this new proposed seismic nonlinear static procedure is a natural extension of the documented equivalent seismic static linear (simplified spectral) method that is recommended by the established contemporary seismic codes, with reference to torsional provisions. Finally, through a restricted parametric analysis carried out in this paper, a relevant numerical example of a two‐storey r/c building is presented for illustration purposes, where the seismic demand floor inelastic displacements are compared with the respective displacements obtained by the NLRHA. Consequently, the new proposed seismic nonlinear static procedure, which uses inelastic response acceleration spectra, can reliably evaluate the extreme values of floor inelastic displacements (on the flexible and stiff side of the building), as is shown by the above comparisons. Copyright © 2010 John Wiley & Sons, Ltd.     

New insights on effects of directionality and duration of near‐field ground motions on seismic response of tall buildings

The effects of ground motion directionality on seismic response of buildings are at the center of ongoing debate among earthquake engineering professionals and researchers. This has prompted a renewed interest to have a better understanding of directionality effects of near‐field pulse‐like ground motions on seismic response of tall buildings to further improve seismic design in this respect. In particular the prediction of the maximum displacement response along the structural axis which is called the critical displacement response. This paper presents the results from parametric studies that investigate the directionality effects on nonlinear dynamic response of simple structures and a tall building. The outcome of these analyses was the development of a method, which relies on the maximum velocity to provide a good approximation to the critical displacement response. The method developed is computationally efficient and involves less calculation than other methods. In addition, it was determined that the building responses to records rotated to fault‐normal can lead to significant underestimation of the maximum response along the structural axis, using the fault‐parallel ground motion also may lead to large response differences and smaller yet significant differences when using the maximum direction ground motion.     

Displacement estimation of nonlinear structures using the force analogy method

Significant effort has gone toward developing accurate and efficient displacement estimation procedures for the nonlinear multi‐degree‐of‐freedom (MDOF) system. Although the dynamic nonlinear analysis is capable of providing the high computational precision through the step‐by‐step time integration method, the simplified method is still expected and imperative for seismic design practices. The work presented in this paper focuses on the implementation of using the modal superposition method to estimate displacement responses of the nonlinear MDOF system based on the force analogy method (FAM). The current research demonstrated that the equation of motion for the nonlinear MDOF system can be decoupled, but other two governing equations in the FAM about the internal force, such as the moment and force of structural members, are not decomposable. Thus, the FAM is incorporated with the modal pushover analysis (MPA) method to determine the basic parameters of each mode such that the modal superposition method can be suitable for the solution of the nonlinear MDOF system. The procedure presented here is an approximately estimation method due to the application of MPA method. However, the value and potential for the maximum displacement estimation of the nonlinear MDOF system were demonstrated through the application in a framed structure. Copyright © 2014 John Wiley & Sons, Ltd.     

Behavior and design of reinforced concrete frames retrofitted with steel bracing against progressive collapse

Steel bracing is able to improve progressive collapse resistance of reinforced concrete (RC) frames, but the bracing design is typically based on seismic retrofitting or lateral stability. There is no approach for design of steel bracing against progressive collapse. To this end, a retrofitting approach with steel braces is proposed based on analysis of macro finite element (FE) models with fiber beam elements. The FE models were initially validated through the experimental results of a braced frame and then used to investigate the effects of pertinent parameters on the progressive collapse resistance of planar frames. The results suggest the braces should be placed at the top story. Thereafter, macro FE models are built to investigate the dynamic responses of the three‐dimensional prototype RC frames under different column removal scenarios (CRS) and show the necessity of retrofitting. Accordingly, the design approach of steel bracing is proposed with incremental dynamic analysis (IDA) and assuming independent contribution of braces and frames to resistance. Finally, the fragility analysis of the frames under a corner‐penultimate‐exterior CRS is conducted through IDA and Monte Carlo simulation, and the results confirm the validity of the proposed design approach for retrofitting RC frames.     

Multi-mode pushover procedure for deformation demand estimates of steel moment-resisting frames

The main objective of the paper is the development and evaluation of a multi-mode pushover procedure for the approximate analysis of the seismic response of steel moment-resisting frames. A generalized force vector derived from modal combination simulates the instantaneous force distribution acting on the structure when the interstorey drift reaches its maximum value during dynamic response to a seismic excitation. Considering the interstorey drift for each floor, a set of generalized force vectors (each associated to maximum drift at one story) is applied separately to the structure until the corresponding target interstorey drift is attained. The maximum value of each response parameter is obtained from the envelope of results. This multi-run and multi-mode pushover procedure allows a simple implementation, reducing the computational effort compared with adaptive nonlinear static procedures and with nonlinear response history analysis. Furthermore, it does not suffer from the statistical combination of inelastic modal responses calculated separately. Both effectiveness and accuracy are verified through a comparative study involving regular steel moment resisting frames subjected to various acceleration records. The results are finally compared with those obtained from other nonlinear static procedures and with the “exact” values from nonlinear response history analysis. It is demonstrated that the proposed procedure is able to accurately predict the seismic demands of steel moment-resisting frames. In low- and middle-rise frames, the error of interstorey drift ratios of the proposed procedure is in the range 5.8-20.8% when the intensity level of the input ground motion varies in the range 0.2-0.8 g. In high-rise frames the error of interstorey drift ratios is in the range 6.38-20.9%.

     

基于弹塑性限位装置的基础隔震建筑地震碰撞行为

在近场速度脉冲型地震作用下,基础隔震建筑可能产生过大的支座变形,为了防止结构和隔震沟边缘产生刚性碰撞并对上部结构造成损伤,建议在隔震层高度用弹塑性限位装置来防止结构产生过大位移并实现一定程度的消能减震。提出了一组动力学方程,将建筑结构模型和Bouc-Wen单元串联,可以考虑隔震间隙的非线性动力响应。考虑了速度脉冲周期对结构响应的放大作用,根据弹塑性动力碰撞分析方程,以3组不同高度的钢框架结构基准模型为算例,计算了限位装置的弹性刚度和屈服力等因素对不同结构的弹塑性响应。结果表明：恰当选取用于碰撞限位的弹塑性限位装置的碰撞刚度与屈服力,既能有效限制隔震层的水平位移,上部结构也不会产生过大的反向动力响应,能够充分保护结构;在较易激发类共振效应的速度脉冲型地震动作用下,上部结构最大响应同弹塑性限位装置的弹性刚度与屈服力呈正相关性。     

基础隔震结构直接基于位移设计的一体化抗震设计方法

为更加合理地进行基础隔震结构的抗震设计,以使用铅芯橡胶隔震支座(LRB)的基础隔震结构作为研究对象,提出了基础隔震结构直接基于位移设计(DDBD)的一体化抗震设计方法.对于给定地震水准下预先设定的性能目标(即LRB隔震系统最大水平变形和上部结构最大层间位移角),通过所提出的一体化抗震设计方法可以确定LRB隔震系统的力学...     

Incremental dynamic analysis of steel frames equipped with NiTi shape memory alloy braces

This paper determines the seismic performance of four‐storey concentrically braced frames equipped with either steel buckling‐restrained braces or buckling‐restrained superelastic shape memory alloy (SMA) braces through incremental dynamic analysis. The incremental dynamic analysis technique is used to examine the behaviour of four‐storey braced frames with four different bracing configurations (including diagonal, split‐X, chevron‐V and inverted‐V) under 20 different ground motion records. The study reveals a satisfactory performance at the design intensity level for both types of braced frames. The results show that the SMA braces lead to a uniform distribution of inelastic response over the height of the buildings, as well as mitigating seismic response in terms of maximum inter‐storey drift and residual roof displacement. By comparing the responses of SMA and buckling‐restrained braced frames under higher intensities of earthquake loading, it is found that the SMA braces can be more beneficial especially under severe ground motion excitations. Copyright © 2014 John Wiley & Sons, Ltd.     

Evaluation of different loading simulation approaches for progressive collapse analysis of regular building frames

Applications of different loading simulation approaches to progressive collapse analysis of building frames subjected to sudden column loss are evaluated in this paper. Analytical investigation on the nonlinear static behaviour of a middle-supported clamped beam reveals that both the load-release and direct loading techniques will result in consistent response if the supporting force may be completely released. However, the dynamic load-displacement responses of eight building models indicate that the direct loading approach may predict less load capacity and larger displacement demand than the load-release one. The relative error in load-displacement response is more significant with the pseudo-static estimation. The difference in displacement response between the load-release and the direct loading or pseudo-static approaches may increase with the extent of plastification and number of storeys of the building frames. An empirical formula is proposed and validated for estimating the displacement error. The empirical formula may help for enhancing practical applications of the direct loading and pseudo-static approaches to progressive collapse analyses of low-to-medium rise, regular building frames.     

Geometric nonlinear analysis of tall building structures with outriggers

In this paper, the geometric nonlinear behavior of wall‐frame tall building structures is analyzed. The governing equations of the wall‐frame systems with outrigger trusses are formulated through the continuum approach, and the whole structure is idealized as a shear‐flexural cantilever with rotational spring. The effect of shear and flexural deformation of the wall frame and outrigger trusses are considered and incorporated in the formulation of the governing equations. Geometric nonlinearity in the sense of von Karman is included in the formulation, and Newton–Raphson iterative method is employed to solve the nonlinear equations. A displacement‐based one‐dimensional nonlinear finite element model is developed. Numerical results for wall frame and mega‐column structures with outriggers are obtained and compared with the finite element package MIDAS. The proposed method is found to be simple and efficient, providing reasonably accurate results in early design stages of tall building structures. Copyright © 2011 John Wiley & Sons, Ltd.     

Earthquake responses of RC moment frames subjected to near‐fault ground motions

There are three objectives in this paper. The first objective is to compare the dynamic behaviour of a reinforced concrete building structure subjected to near‐fault and far‐field ground motions. A twelve‐storey and a five‐storey reinforced concrete building with moment resisting frames were selected in this study. The Chi‐Chi earthquake was selected as a first set in this study to test near‐fault earthquake characteristics. Further, another earthquake record of an event at the same site was selected to test the far‐field earthquake characteristics for comparison. Through nonlinear time history analyses, the results show that the near‐fault earthquake results in much more damage than the far‐field earthquake. The second objective of this paper is to compare the predictions for ductility demand by the nonlinear time history analyses with those obtained by the pushover analysis procedure. The third objective is to explore the parameters that will more significantly affect the the building structure's dynamic response characteristics of base shear reduction and displacement amplification. Copyright © 2001 John Wiley & Sons, Ltd.     

高层钢-混凝土混合结构弹塑性地震反应简化分析模型

将高层钢 混凝土混合结构分为外部钢框架和内部混凝土核心筒两部分。外部钢框架进一步简化为半刚架和相应的弹性阶梯形等效弯曲杆的串联体系 ,这种简化模型能考虑柱轴向变形对结构动力反应的影响 ;内部混凝土核心筒则采用弯剪两弹簧墙单元模型 ,简化后的框架和混凝土芯筒之间通过位于楼面标高处的水平刚性连杆连接。考虑到几何非线性对高层结构动力反应的影响 ,再用一竖向受载杆与上述简化结构并联 ,从而得到了高层混合结构简化动力分析模型。对一个 2 5层混合结构的 1 /2 0试验模型进行了理论分析 ,并与模拟地震振动台试验结果进行对比。分析表明 ,提出的简化模型能反映混合结构主要的动力特征 ,可大大减少计算自由度和降低计算工作量 ,且具有较好的计算精度。