Seismic performance and resilience of composite damping self-centering braced frame structures

A magnetorheological self-centering brace(MR–SCB)has been proposed to improve the energy dissipation capability of the brace.In this paper,a 15-story MR–SCB braced frame is numerically analyzed to examine its seismic performance and resilience.The MR–SCB provides higher lateral stiffness than the buckling restrained brace and greater energy dissipation capability than the existing self-centering brace.The brace also exhibits a reliable recentering capacity.Under rare earthquakes,the maximum average residual deformation ratio of the structure is less than the 0.5%limit.Under mega earthquakes,the maximum average interstory drift ratio of the structure does not exceed the 2.0%elastoplastic limit,and its maximum average floor acceleration ratio is 1.57.The effects of mainshock and aftershock on the structural behavior are also investigated.The interstory drift and residual deformation of the structure increase with the increase of the intensity of the aftershock.Under aftershocks with the same intensity as the mainshocks,the maximum increment of the residual deformation ratio of the structure is 81.8%,and the average interstory drift ratios of the 12^(th),7^(th),and 3^(rd)stories of the structure are increased by 13.4%,9.2%and 7.5%,respectively.The strong aftershock may significantly cause increased damage to the structure,and increase its collapse risk and residual deformation.

Damping characteristics of friction damped braced frame and its effectiveness in the mega-sub controlled structure system

Based on energy dissipation and structural control principle, a new structural configuration, called the megasub controlled structure （MSCS） with friction damped braces （FDBs）, is first presented. Meanwhile, to calculate the damping coefficient in the slipping state a new analytical method is proposed. The damping characteristics of one-storey friction damped braced frame （FDBF） are investigated, and the influence of the structural parameters on the energy dissipation and the practical engineering design are discussed. The nonlinear dynamic equations and the analytical model of the MSCS with FDBs are established. Three building structures with different structural configurations, which were designed with reference to the conventional mega-sub structures such as used in Tokyo City Hall, are comparatively investigated. The results illustrate that the structure presented in the paper has excellent dynamic properties and satisfactory control effectiveness.

Self-centering seismic retrofit scheme for reinforced concrete frame structures:SDOF system study

This paper presents the results of a parametric study of self-centering seismic retrofit schemes for reinforced concrete (RC) frame buildings. The self-centering retrofit system features flag-shaped hysteresis and minimal residual deformation. For comparison purpose,an alternate seismic retrofit scheme that uses a bilinear-hysteresis retrofit system such as buckling-restrained braces (BRB) is also considered in this paper. The parametric study was carried out in a single-degree-of-freedom (SDOF) system framework since a multi-story building structure may be idealized as an equivalent SDOF system and investigation of the performance of this equivalent SDOF system can provide insight into the seismic response of the multi-story building. A peak-oriented hysteresis model which can consider the strength and stiffness degradation is used to describe the hysteretic behavior of RC structures. The parametric study involves two key parameters -the strength ratio and elastic stiffness ratio between the seismic retrofit system and the original RC frame. An ensemble of 172 earthquake ground motion records scaled to the design basis earthquake in California with a probability of exceedance of 10% in 50 years was constructed for the simulation-based parametric study. The effectiveness of the two seismic retrofit schemes considered in this study is evaluated in terms of peak displacement ratio,peak acceleration ratio,energy dissipation demand ratio and residual displacement ratio between the SDOF systems with and without retrofit. It is found from this parametric study that RC structures retrofitted with the self-centering retrofit scheme (SCRS) can achieve a seismic performance level comparable to the bilinear-hysteresis retrofit scheme (BHRS) in terms of peak displacement and energy dissipation demand ratio while having negligible residual displacement after earthquake.

Strength Analysis on Brace Structure for Semi-Submersible in Consideration of Wave Slamming

Slamming on bracings of column stabilized units shall be considered as a possible limiting criterion under transit condition based on the requirements in DNV-OS-C103. However, the wave slamming loads under survival condition were ignored for the strength analysis of the brace structures in many semi-submersible projects. In this paper, a method of strength analysis of brace structure is proposed based on the reconstruction and extrapolation of numerical model. The full-scale mooring system, the wind, wave and current loads can be considered simultaneously. Firstly,the model tests of the semi-submersible platform in wind tunnel and wave tanker have been carried out. Secondly,the numerical models of the platform are reconstructed and extrapolated based on the results of model tests. Then, a nonlinear numerical analysis has been conducted to study the wave slamming load on brace in semi-submersible platform through the reconstructed and extrapolated numerical model. For the randomness of wave load, ten subcases under each condition have been carried out. The value of the 90% Gumble distribution values of the ten subcases are used. Finally, the strength on brace structure has been analyzed considering the wave slamming. The wave slamming loads have been compared between the survival condition and transit condition with the method. The results indicate that wave slamming under survival condition is more critical than that under transit condition.Meanwhile, the wave slamming is significant to the structural strength of the brace. It should be overall considered in the strength analysis of the brace structure.

Seismic performance of a reinforced concrete building retrofitted with self-centering shape memory alloy braces

Self-centering earthquake-resistant structures have received increased attention due to their ability to reduce post-earthquake residual deformations and,thus,repair time and cost.This stimulated the development of recentering shape memory alloy(SMA)dampers that use superelastic nitinol wires to dissipate energy and self-center the structure.However,there are still a few case studies applications on full-scale RC buildings in the literature.Moreover,general guidelines or even simplified approaches for the practical design of SMA damped braces are still lacking.This paper focuses on evaluating the effect of using self-centering shape memory alloy dampers for buckling-restrained braces applied for the seismic retrofit of a complex RC building structure.A design method originally proposed for elastoplastic dampers was implemented to size the SMA dampers to be placed on selected spans and stories of a building.The effectiveness of the design procedure was demonstrated by nonlinear time-history analyses under different sets of earthquake strong ground motions.The analysis results show that the recentering shape memory alloy bracing system is effective in limiting the maximum transient inter-story drifts and reducing the residual inter-story drifts after strong seismic events,due to its excellent recentering behavior together with its not negligible energy dissipation capacity.

Ductility demands on buckling-restrained braced frames under earthquake loading

Accurate estimates of ductility demands on buckling-restrained braced frames(BRBFs)are crucial to performance-based design of BRBFs.An analytical study on the seismic behavior of BRBFs has been conducted at the ATLSS Center,Lehigh University to prepare for an upcoming experimental program.The analysis program DRAIN-2DX was used to model a one-bay,four-story prototype BRBF including material and geometric nonlinearities.The buckling- restrained brace(BRB)model incorporates both isotropic and kinematic hardening.Nonlinear static pushover and time- history analyses were performed on the prototype BRBF.Performance objectives for the BRBs were defined and used to evaluate the time-history analysis results.Particular emphasis was placed on global ductility demands and ductility demands on the BRBs.These demands were compared with anticipated ductility capacities.The analysis results,along with results from similar previous studies,are used to evaluate the BRBF design provisions that have been recommended for codification in the United States.The results show that BRB maximum ductility demands can be as high as 20 to 25.These demands significantly exceed those anticipated by the BRBF recommended provisions.Results from the static pushover and time- history analyses are used to demonstrate why the ductility demands exceed those anticipated by the recommended provisions. The BRB qualification testing protocol contained in the BRBF recommended provisions is shown to be inadequate because it requires only a maximum ductility demand of at most 7.5.Modifications to the testing protocol are recommended.

Seismic behavior of concrete filled steel tubular arch structures

Shaking table tests of a 1:10 scale arch model performed to investigate the seismic behavior and resistance of concrete filled steel tubular (CFT) arch structures are described in this paper. The El-Centro record and Shanghai artificial wave were adopted as the input excitation. The entire test process can be divided into three stages depending on the lateral brace configurations, i.e., fully (five) braced, two braces removed, and all braces removed. A total of 46 tests, starting from the elastic state to failure condition, have been conducted. The natural vibration frequencies, responses of acceleration, displacement and strain were measured. From the test results, it is demonstrated that the CFT arch structures are capable of resisting severe ground motions and that CFT arches offer a credible alternative to reinforced concrete arches, especially in regions of high seismic intensity.

Design of controlled elastic and inelastic structures

One of the founders of structural control theory and its application in civil engineering, Professor Emeritus Tsu T. Soong, envisioned the development of the integral design of structures protected by active control devices. Most of his disciples and colleagues continuously attempted to develop procedures to achieve such integral control. In his recent papers published jointly with some of the authors of this paper, Professor Soong developed design procedures for the entire structure using a design - redesign procedure applied to elastic systems. Such a procedure was developed as an extension of other work by his disciples. This paper summarizes some recent techniques that use traditional active control algorithms to derive the most suitable （optimal, stable） control force, which could then be implemented with a combination of active, passive and semi-active devices through a simple match or more sophisticated optimal procedures. Alternative design can address the behavior of structures using Liapunov stability criteria. This paper shows a unified procedure which can be applied to both elastic and inelastic structures. Although the implementation does not always preserve the optimal criteria, it is shown that the solutions are effective and practical for design of supplemental damping, stiffness enhancement or softening, and strengthening or weakening.

Optimization of design parameters for controlled rocking steel braced dual-frames

A controlled rocking concentrically steel braced frame(CR-CSBF)is introduced as an alternative to conventional methods to prevent major structural damage during large earthquakes.It is equipped with elastic post-tensioned(PT)cables and replaceable devices or fuses to provide overturning resistance and dissipate energy,respectively.Although CR-CSBFs are not officially legalized in globally valid codes for new buildings,it is expected to be presented in them in the near future.The main goal of this study is to determine the optimal design parameters consist of the yield strength and modulus of elasticity of the fuse,the initial force of the PT cable,and the gravity load on the rocking column,considering different heights of the frame,spanning ratios and ground motion types for dual-configuration CR-CSBF.Nonlinear time-history analyses are performed in OpenSees.This study aims to define the optimal input variables as effective design parameters of CR-CSBFs by comparing four seismic responses consisting of story drift,roof displacement,roof acceleration and base shear,and also using the Euclidean metric optimization method.Despite the previous research,this study is innovative and first of its kind.The results demonstrate that the optimal design parameters are variable for various conditions.

Determination Method on Initial Pretension of Cables in Steel Mega Frame and Prestressed Composite Bracing Structure

Determining initial pretension values of pre-stressed cables is one of the key problems for a steel mega frame and pre-stressed composite bracing structure.Through the mechanical analysis of the composite bracing under vertical loading,the critical factors deciding the initial pretention value were found.According to these factors,a rule for the initial pretension value was put forward.The determination equations were acquired based on the principle of force equilibrium at nodes.The numerical results indicate that the internal force disequilibrium in composite bracings resulted from symmetrical load can be eliminated only in a symmetrical way,so that initial pretention values are decided only by vertical loads.The influencing coefficient leveling method,taking into account interactions between story and story,is accurate and feasible.

A Slip-Force Device for Maintaining Constant Lateral Pressure on Retaining Structures in Expansive Soils

Expansive soils can pose tough issues to civil engineering applications. In a typical year, expansive soils can cause a greater financial loss than earthquakes, floods, hurricanes and tornadoes combined. Various means have been studied to tackle problems associated with expansive soils. The majority of the methods are based on treatment of the soils. While the methods may be effective in some cases, their limitations are also obvious: The treatment normally involves complex processes and may not be eco-friendly in the long run. In many cases, the effectiveness of the treatment is uncertain. A retaining system that maintains a constant lateral pressure is proposed, which consists of three components: the retaining sheet, the slip-force device and the bracing column. The retaining sheet bears the pressure exerted by expansive backfills and is not embedded into the soils. Placed between the retaining sheet and bracing column, the slip-force device permits displacement of the retaining sheet but keeps the force on the sheet and the bracing column constant. The governing equation of the motion of the piston in the slip-force device is derived and a numerical simulation of a practical case is conducted based on the derived governing equation. Numerical results show that as the expansive soil swell, the spring force will increase and the piston will move accordingly. When the pressure of the oil in chamber reaches the open threshold of the unidirectional relief valve, the valve will open and the spring force and the oil pressure in the chamber will keep constant. The results also show that some parameters, such as damping ratio, have very slight influences on the device behavior, say 2 × 10-6 or even 4.8 × 10-9. Theoretical and numerical studies prove the effectiveness of the proposed retaining system.

钢支撑-钢筋混凝土掉层框架结构抗震性能试验研究

为改善坡地钢筋混凝土(RC)掉层框架结构抗侧刚度分布的不均匀性,设计了一栋在上接地层设置钢支撑的RC掉层框架结构,按1/4比例提取其顺坡向中榀框架下部5层子结构为试验对象,开展钢支撑-RC掉层框架拟静力试验,观测试件的破坏过程,并对比RC掉层框架试验所得试件的破坏形态,分析试件滞回性能、延性和刚度退化等抗震性能指标。结果表明:试件的最终破坏是以第4层柱底混凝土压溃,梁端混凝土剥落、底部钢筋断裂,顶层柱顶混凝土剥落为标志。与RC掉层框架试验结果相比,钢支撑-RC掉层框架试件上接地柱的破坏明显减轻,柱端破坏分布也更为均匀,避免了掉层框架结构“半层破坏模式”的出现,改善了结构的耗能和抗地震倒塌能力。但试件上接地层相邻上一层的变形和破坏程度较大,应对该楼层的柱端进行适当的抗震加强;设置钢支撑后,试件的滞回曲线较为饱满,并具有良好的延性(正、负向加载的位移延性系数分别可达5.13、5.69),正负向加载的刚度退化曲线也趋于对称。

耐张型悬索支撑输电结构风振非线性有限元分析

耐张型悬索支撑输电结构是一类适用于山地地形的新型输电结构,其主要受风荷载控制。为此,该研究发展了该输电结构风振非线性有限元分析模型并开展了结构风振响应分析。考虑结构的几何非线性,通过单元应变能与位移的关系推导了支撑悬索和输电线的三维杆单元切线刚度矩阵;给出了支撑悬索和输电线的单元质量矩阵、阻尼矩阵以及由风荷载等效而得的单元节点荷载向量;基于非线性有限元理论,建立了耐张型悬索支撑输电结构风振非线性动力方程,并采用了结合Newton-Raphson迭代法的Newmark-β法求解非线性动力方程;通过所建立的动力学分析模型对两跨耐张型悬索支撑输电结构进行了风致非线性振动分析。算例分析结果表明:①提出的模型具有较好的计算精度和较高的计算效率;②悬索支撑导线部分的低阶固有频率比悬索支撑地线部分的低阶固有频率更低;③该输电结构的输电线位移响应受风荷载影响较大;④输电线侧向位移和支撑悬索张力受风速和风向角影响均较显著。

柱脚不均匀沉降对单斜撑钢井架的影响与治理研究

长期的荷载作用可能导致矿井井架变形和不均匀沉降,甚至可能引起结构整体倾覆。针对童亭煤矿钢结构单斜撑井架的沉降和受力特点,采用ANSYS有限元软件构建了单斜撑井架结构模型,研究了斜撑基础不均匀沉降对井架结构内力的影响规律,并对井架内力受不均匀沉降影响机理进行分析。结果表明:①立架与斜撑间的沉降差值会引起立架C柱底和顶部横梁的应力呈线性增加,对斜撑影响较小;X方向沉降率达到2.04‰时,立架最大应力出现于C柱底,约为148 MPa,低于钢材设计强度的限值。②两斜撑基础间的不均匀沉降对单斜撑井架的不利影响更大,断绳工况下的Y方向沉降率为0.88‰时即发生应力超限破坏,略低于《矿山井架设计标准》中对单斜撑式钢井架斜撑基础间最大1‰的沉降差值限制。③不均匀沉降导致井架内力重分布,井架最大应力值和位移值均随沉降值增大而增大,其中立架C柱和斜撑上下天轮梁为最危险部位。针对井架沉降现状,提出了重点部位的加固和顶升方案,加固后井架内力和变形均大幅降低,静力性能提升30%。

钢框架-偏心支撑结构消能梁暗置侧向支撑设计

在钢框架-偏心支撑结构中,针对钢结构住宅等建筑中不能接受常规消能梁侧向支撑的情况,设计了一种在消能梁段端部的楼板内设置型钢连接件及暗梁组成的暗置侧向支撑。有限元模拟分析表明,在规范规定的消能梁段下翼缘侧向水平荷载的作用下,该消能梁暗置侧向支撑能显著减小消能梁的扭转变形和侧向弯曲变形;在考虑消能梁上局部楼板失效的情况下,暗置侧向支撑也能提供消能梁合适的扭转约束刚度。通过某工程的原位静荷载试验,验证了该暗置支撑对消能梁发挥的预期侧向支撑作用。

四川大学博物馆结构设计重难点分析研究

四川大学博物馆采用钢框架结构体系,并设置屈曲约束支撑改善结构的抗震性能。介绍了四川大学博物馆的结构设计参数及抗震性能目标。针对结构设计中的重难点,开展了屈曲约束支撑的工作机理分析、框架柱计算长度与穿层柱分析、东侧大悬挑空间的相关分析。利用反应谱分析及时程分析探究了屈曲约束支撑工作机理,分析结果表明,屈曲约束支撑能够有效改善钢结构产生塑性铰的状况,起到保护主体钢框架的作用。针对东侧大悬挑空间的功能要求,设计采用了屋顶桁架结合钢拉杆吊挂东侧大楼梯的结构形式,通过结构防连续倒塌分析、楼板应力分析、楼盖舒适度分析、关键节点有限元分析等确保该部位结构设计安全合理。对整体结构受力机理和薄弱部位进行了研究,提出了重点部位的设计原则和加强措施。

随州公共活动中心结构设计

随州公共活动中心是体型复杂的多馆合一式综合性城市公共建筑,具有平面单向超长、质量分布明显不对称、大跨度、大悬挑、顶板大开洞等特点。在对该结构体系进行了重难点分析的基础上,采用现浇预应力钢筋混凝土框架+屈曲约束支撑的减震结构体系,利用屈曲约束支撑解决平面单向超长造成的扭转,同时使结构形成多道抗震防线;大跨度楼盖采用预应力密肋楼盖控制结构高度;针对顶板大开洞的嵌固端问题提出了具体的加强措施。提出了针对该类结构的BRB布置及减震参数设计,通过有限元数值仿真分析论证了BRB的减震效果。针对超限情况提出了抗震性能目标及抗震措施。

湖北省科技新馆结构设计

湖北省科技新馆为大跨度、大悬挑的复杂高层结构。利用4个电梯井筒布置了由矩形钢管混凝土柱+钢支撑(钢板墙)组成的4个筒体巨柱,巨柱支撑着由4榀斜拉长悬臂跨层钢桁架组成的巨梁,形成新型大跨巨型钢框架结构体系。4个筒体巨柱内采用BRB+摇摆耗能墙的新型联合减震方案以减小地震作用;4榀巨梁内设置斜拉索以减小大悬挑区域的竖向变形;中庭沉浸影院采用新型的“上挂下支”的双曲面网壳结构体系,采用了内衬圆钢管的相贯焊节点保证网壳节点的刚性连接。进行了BRB+摇摆耗能墙大震下的减震分析、桁架与柱连接复杂铸钢节点的有限元分析及节点试验、3层和4层大悬挑角部的舒适度分析及人致振动实测及长悬臂结构的低周往复荷载试验。结果表明:湖北省科技新馆结构体系布置合理,各部分满足设计要求。

LY160钢屈曲约束支撑框架抗震性能研究

屈曲约束支撑(BRB)因其性能优越已在工程中广泛应用,目前工程中使用的BRB芯材多为Q235B钢,为研究软钢BRB框架的受力性能,设计了一榀LY160钢BRB框架进行低周反复试验。试验结果表明:LY160钢BRB框架滞回曲线饱满,耗能系数高达1.54,等效黏滞阻尼达到了0.255。为了进一步研究LY160钢BRB框架结构体系抗震性能,分别运用ABAQUS与PERFORM-3D对框架试验进行模拟,并将两个模拟结果与试验结果进行对比,分析了两个软件模拟计算的优缺点,验证了数值模拟的准确性。在此基础上,采用PERFORM-3D建立6层BRB框架结构(BRBS)模型并与无控框架结构(UCS)模型以及普通支撑框架结构(NBS)模型进行对比,BRBS的层间位移角、层剪力最高可分别降低34.47%、31.29%,远超NBS的19.39%和17.31%,且BRBS的塑性耗能几乎全为BRB提供,很好地保护了主体结构,具有较为稳定、良好的抗震性能。

高烈度区多层长悬挑钢结构设计

长安乐传媒港是十四届全运会重要配套项目,为南侧带3层大悬挑的不规则复杂结构,最大悬挑长度38.5m。主体结构采用钢结构框架-支撑体系,悬挑部分采用钢桁架结构。针对大悬挑结构设计难点开展了分析和研究;重点介绍了整体结构方案选型、结构整体分析结果以及结构抗震性能化设计结果;也重点介绍了单人行走激励和人群激励下悬挑钢桁架舒适度分析,考虑长悬挑结构安装过程、卸载顺序和楼板刚度形成次序的施工模拟分析,以及长悬挑对基础设计的影响。结果表明,本工程的多层长悬挑构结构具有较高的安全储备,整体结构具有良好抗震性能;长悬挑结构设计中需要特别关注施工过程的影响,基础设计时应考虑竖向构件受拉的不利影响。