Development of drift design model for high‐rise buildings subjected to lateral and vertical loads

Recent developments of resizing algorithms based on displacement participation factor have had a significant impact on drift design of high‐rise buildings. However, most drift design methods based on resizing algorithms have considered only lateral load and overlooked the effect of the vertical load in the calculation of member displacement participation factors. Therefore, in this paper, the practical drift design method of high‐rise buildings is presented in the form of a resizing algorithm by developing product integral modules required for the calculation of displacement participation factors with the consideration of both lateral and vertical loads. The effect of vertical load on the drift design model based on member displacement participation factors is investigated in detail using the verifying example of a 20‐story building structure. The drift design method in combination with the strength design module is then applied to the drift design of a 60‐story high‐rise building structure. Copyright © 2007 John Wiley & Sons, Ltd.     

Self‐centering steel–timber hybrid shear wall with slip friction dampers: Theoretical analysis and experimental investigation

An innovative self‐centering steel–timber hybrid shear wall (SC‐STHSW) system is proposed as a promising structural solution for earthquake‐resilient buildings. The SC‐STHSW is composed of posttensioned (PT) steel rocking frame and infill light‐frame wood shear wall. The PT steel frame provides self‐centering capability, whereas the infill wood shear wall improves the lateral stiffness and the load resistance. Meanwhile, friction dampers are assembled into the connections between the steel frame and the infill wall to provide energy dissipation. Theoretical analysis and cyclic loading test were conducted to comprehend the load‐resisting behavior of the proposed SC‐STHSW system, and closed‐form solutions of the moment, shear, and axial force distribution along the length of the steel beam were formulated. Moreover, a nonlinear finite element model was developed, and the model was further used to verify the derived theoretical formulas. Results showed that the SC‐STHSW system was able to undergo large interstory drift without the development of plastic zones in the steel frame members, which resulted in very small residual deformation. The presented experimental and numerical results aim to provide a practical structural solution for high‐performance earthquake‐resilient buildings.     

An analytical model for high‐rise wall‐frame structures with outriggers

In this paper, the governing equations of wall‐frame structures with outriggers are formulated through the continuum approach and the whole structure is idealized as a shear–flexural cantilever with rotational springs. The effect of shear deformation and flexural deformation of the wall‐frame and outrigger trusses are considered and incorporated in the formulation of the governing equations. A displacement‐based one‐dimensional finite element model is developed to predict lateral drift of a wall‐frame with outriggers under horizontal loads. Numerical static results are obtained and compared with previously available results and the values obtained from the finite element package MIDAS. The proposed method is found to be simple and efficient, and provides reasonably accurate results in the early design stage of tall building structures. Copyright © 2007 John Wiley & Sons, Ltd.     

Optimal drift design model for multi‐story buildings subjected to dynamic lateral forces

An optimal drift design model for a linear multi‐story building structure under dynamic lateral forces is presented. The drift design model is formulated into a minimum weight design problem subjected to constraints on stresses, the displacement at the top of a building, and inter‐story drift. The optimal drift design model consists of three main components: an optimizer, a response spectrum analysis module, and a sensitivity analysis module. Using a small example, the validation of the proposed model has been tested by a comparison of optimal solutions. Then, the performance of the optimal drift design model is demonstrated by application to three steel frame structures including a 40‐story building. Various structural responses including lateral displacement and inter‐story drift distributions along the height of the structure at the initial and final design stages are presented in figures and tables. Time‐consuming trial‐and‐error processes related to drift control of a tall building subjected to lateral loads is avoided by the proposed optimal drift design method. Copyright © 2003 John Wiley & Sons, Ltd.     

Finite element modeling and parametric analysis of timber–steel hybrid structures

This paper presents finite element modeling and a parametric analysis of prototype timber–steel hybrid structures, which are composed of steel moment‐resisting frames and infill wood‐frame shear walls. A user‐defined element was developed to model the behavior of the infill wood shear walls based on the concept of pseudo‐nail model. The element was implemented as a subroutine in a finite element software package abaqus . The model was verified by reversed cyclic test results and further used in a parametric analysis to investigate the lateral performance of timber–steel hybrid shear walls with various structural configurations. The results showed that the infill wall was quite effective within small drift ratios, and the elastic lateral stiffness of the hybrid shear wall increased when a stronger infill wall was used. In order to ensure the structural efficiency of the hybrid shear wall system, it is beneficial to use relatively strong timber–steel bolted connections to make sure the shear force can be transferred effectively between the steel frame and the infill wall. Copyright © 2013 John Wiley & Sons, Ltd.     

Breakthrough of traditional shear wall structure system—short‐leg wall structure system

Traditional shear wall structure has small space, is not flexible, causes waste of material and has bad economic efficiency. Through complete transformation of traditional shear wall, a new structure system has been created. The research and application of short‐leg shear wall structure calculation theory are based on the national codes, from which the short‐leg shear wall design principles are established. Traditional shear wall structure is discussed because of the world's first short‐leg shear wall structure design formation and development research. According to short‐leg shear wall force characteristics, horizontal displacement is divided into destructive storey drift and harmless storey drift; the formula for calculating the destructive storey drift is obtained, using destructive storey drift angle parameters and the change of main section height to control the deformation, to control structural rigidity and to ensure that the structural design attains excellence. Copyright © 2012 John Wiley & Sons, Ltd.     

An introduction to the structural design of rocking wall‐frames with a view to collapse prevention,self‐alignment and repairability

The purpose of this article is to present a new method of analysis for the structural design of pin‐supported rocking wall‐moment frames with supplementary devices and post‐tensioned stabilizers. The function of the wall is to prevent soft story failure, impose uniform drift and provide support for the supplementary equipment. The proposed methodology lends itself well to several seismic design strategies, ranging from severe damage avoidance, to collapse prevention, to structural self‐alignment and repairability. Repairability means avoiding major damage to columns and foundations. The success of the resulting solutions is due to the single degree of freedom behavior of the combined system and the fact that its overall performance is not significantly affected by minor changes in the stiffness of the wall. The sensitivity of the response to wall rigidity is addressed by comparing the maximum elastic slope of the wall with a fraction of the specified uniform drift. The limitations of rocking wall‐moment frames, as viable lateral resisting systems, have been addressed. Several worked examples have been presented to provide insight and technical information that may not be readily available from electronic output. The proposed solutions are exact within the bounds of the theoretical assumptions and are ideally suited for manual as well as spreadsheet computations. Copyright © 2015 John Wiley & Sons, Ltd.     

Load-sharing mechanism in timber-steel hybrid shear wall systems

The lateral performance of timber-steel hybrid shear wall systems with regard to the interaction between the steel frame and the infill wood shear wall was investigated in this paper. A numerical model for the timber-steel hybrid shear wall system was developed and verified against test results. Design parameters, such as the lateral infill-to-frame stiffness ratio and the arrangements of wood-steel bolted connections were studied using the numerical model. Some design recommendations were also proposed based on the parametric analysis. In the hybrid shear wall system, the infill wood wall was found to resist a major part of the lateral load within relatively small wall drifts, and then the steel frame provided more lateral resistance. Under seismic loads, the infill wood wall could significantly reduce the inter-story drift of the hybrid system, and a complementary effect between the infill wood wall and the steel frame was observed through different lateral load resisting mechanisms, which provided robustness to the hybrid shear wall systems.     

Capacity design for composite partially restrained steel frame‐reinforced concrete infill walls with concealed vertical slits

This paper presents an innovative capacity‐based design procedure that aims to achieve the ideal seismic performance for the composite partially restrained (PR) steel frame‐reinforced concrete (RC) infill wall with concealed vertical slits (PSRCW‐CVS). The proposed method adopts the direct capacity design principles and preselected preferred plastic mechanism such that the RC infill wall undergoes ductile failure prior to the other steel components in the event of a rare‐level earthquake (i.e., earthquake with a 2% probability of exceedance in 50 years). Based on the ultimate resisting capacity of RC infill walls, the free‐body diagrams and simplified design formulae for the surrounding steel components, including the vertical boundary element (VBE), horizontal boundary element (HBE), PR connection, and shear connectors, were proposed. To demonstrate the reasonability of the capacity‐based design procedure, a five‐story PSRCW‐CVS structure was designed according to the proposed design method, followed by a series of nonlinear time history analyses. The overall seismic response of this example was evaluated in terms of story displacement, interstory drift ratio, residual story displacement, and residual interstory drift ratio. The proposed method yielded a more uniform interstory drift ratio distribution along the height of the five‐story PSRCW‐CVS structure. Structural damage was controlled by achieving the preselected preferred plastic mechanism.     

Analyses on mechanical performance of innovative composite shear wall systems

钢板-混凝土组合剪力墙由钢框架、内嵌钢板及一侧通过螺栓与之连接的混凝土板组成,其中传统组合剪力墙中混凝土板四边与钢框架直接接触,而改进组合剪力墙中二者之间有一定间距,以避免其在结构侧移较小时发生接触。采用ABAQUS有限元软件分别建立了组合剪力墙的精细有限元模型,研究了其受力性能以及板框相互作用全过程,分析了钢板高厚比对组合剪力墙整体承载力、抗侧刚度以及板框剪力分配等的影响。研究表明：组合剪力墙中混凝土板有效抑制钢板弹性屈曲,钢板主要以剪切屈服承载,对框架柱的附加弯矩较钢板剪力墙明显降低;相比钢板剪力墙,传统组合剪力墙承载力提高25%,抗侧刚度提高10%,混凝土板承载近30%;改进组合剪力墙承载力提高10%,抗侧刚度提高5%,混凝土板基本不承担剪力;随着钢板高厚比的减小,组合剪力墙的承载力与抗侧刚度提高,但两类组合剪力墙之间的差别变小;钢板承载比例不断增大,当钢板过厚时需要防止底层框架过早屈服。     

Equivalent viscous damping in direct displacement‐based design of steel braced reinforced concrete frames

Performance‐based design method, particularly direct displacement‐based design (DDBD) method, has been widely used for seismic design of structures. Estimation of equivalent viscous damping factor used to characterize the substitute structure for different structural systems is a dominant parameter in this design methodology. In this paper, results of experimental and numerical investigations performed for estimating the equivalent viscous damping in DDBD procedure of two lateral resistance systems, moment frames and braced moment frames, are presented. For these investigations, cyclic loading tests are conducted on scaled moment resisting frames with and without bracing. The experimental results are also used to calibrate full‐scale numerical models. A numerical investigation is then conducted on a set of analytical moment resisting frames with and without bracing. The equivalent viscous damping and ductility of each analytical model are calculated from hysteretic responses. On the basis of analytical results, new equations are proposed for equivalent viscous damping as a function of ductility for reinforced concrete and steel braced reinforced concrete frames. As a result, the new equation is used in direct displacement‐based design of a steel braced reinforced concrete frame. Copyright © 2012 John Wiley & Sons, Ltd.     

Optimal drift design of tall reinforced concrete buildings with non‐linear cracking effects

This paper presents an efficient, computer‐based technique for the optimum drift design of tall reinforced concrete (RC) buildings including non‐linear cracking effects under service loads. The optimization process consists of two complementary parts: an iterative procedure for the non‐linear analysis of tall RC buildings and a numerical optimality criteria (OC) algorithm. The non‐linear response of tall RC buildings due to the effects of concrete cracking is obtained by a series of linear analyses, the so‐called direct effective stiffness method. In each linear analysis, cracked structural members are first identified and their stiffness modified based on a probability‐based effective stiffness relationship. Stiffness reduction coefficients are introduced as measures of the remaining stiffness for structural elements after cracking. A rigorously derived OC method is developed to solve for the minimum weight/cost design problem subject to multiple drift constraints and member sizing requirements. A shear wall‐frame example is presented to illustrate the application of this optimal design method. The design results of the optimized structure with cracking effects are compared to those of the linear‐elastic structure without concrete cracking. Copyright © 2005 John Wiley & Sons, Ltd.     

竖向承重与水平抗侧相分离的组合框架-剪力墙结构体系抗震性能研究

为提高传统钢结构体系在住宅产业化应用中的标准化程度、装配化效率以及安全性能,提出了竖向承重与水平抗侧相分离的组合框架-剪力墙结构体系,并对其抗震性能进行了分析与评价.以某高层住宅楼工程为结构方案原型,基于多遇地震作用下弹性层间位移角相同的控制标准,分别按传统组合框架-剪力墙结构体系和按竖向承重与水平抗侧相分离的组合框架...     

Cyclic loading test of T‐shaped mid‐rise shear wall

Shear wall systems are the most commonly used lateral load resisting systems in high‐rise buildings. Six 1:2 scale mid‐rise T‐shaped reinforced concrete shear wall specimens with aspect ratio of 1.75, 2.15 and 2.80 were respectively tested under reversed cyclic loading. The seismic behavior and displacement ductility were investigated. The effects of aspect ratio, axial load level and transverse steel ratio on the seismic behavior and displacement ductility were also analyzed. Test results were discussed and compared with T‐shaped steel–concrete composite shear wall. Results mainly showed that the T‐shaped shear wall specimens mainly presented bending–shear failure mode and were all destroyed because of the concrete crushing at the web (negative direction) and the longitudinal reinforcement of the web reaching the limited deformation (positive direction), showing that the web was the weakest part of T‐shape shear wall. The ductility of the specimens was decreased, and the ultimate load‐bearing capacity was increased by increasing the axial load. To specimens with smaller aspect ratio and higher axial load ratio, the special transverse steel ratio of the web should be increased to improve the crushing strain of the confined concrete of the web in order to satisfy the ductility of the walls. The seismic performance was obviously improved in the T‐shaped steel–concrete shear wall compared with that of the T‐shaped reinforced concrete shear wall. Copyright © 2011 John Wiley & Sons, Ltd.     

钢板剪力墙的试验研究

天津津塔是我国首座采用钢板剪力墙的超高层建筑,也是目前已知规模最大的钢板剪力墙结构,其主要抗侧力体系为钢板剪力墙和钢管混凝土柱所构成的核心筒。为研究这种结构体系及其构造做法的实际受力性能,并为设计计算提供试验依据,完成了2个2跨5层1∶5缩尺比例的钢板剪力墙模型的低周往复加载试验。试件变化的主要参数包括钢板剪力墙与周边框架的连接方式以及钢板剪力墙的加劲构造措施。试验表明,钢板剪力墙结构具有较高的承载能力,稳定的滞回性能。未设置加劲肋的钢板剪力墙试件,在加载初期即发生平面外屈曲,其滞回曲线呈现一定的S形捏拢趋势;设置有4道竖向加劲肋的钢板剪力墙试件,在加载过程中未发生平面外屈曲,其滞回曲线呈饱满的纺锤形。此外,采用摩擦型高强螺栓连接的钢板剪力墙试件在加载过程中有较大噪声,可能影响结构的正常使用。     

Integrated wind‐induced response analysis and design optimization of tall steel buildings using Micro‐GA

This paper presents an integrated procedure for wind‐induced response analysis and design optimization for rectangular steel tall buildings based on the random vibration theory and automatic least cost design optimization technique using Micro‐Genetic Algorithm (GA). The developed approach can predict wind‐induced drift and acceleration responses for serviceability design of a tall building; the technique can also provide an optimal resizing design of the building under wind loads to achieve cost‐efficient design. The empirical formulas of wind force spectra obtained from simultaneous measurements of surface pressures on various rectangular tall building models in wind tunnel tests are verified testified using a published example. Upon the known wind force spectra, the equivalent static wind loads for every storey, such as along‐wind, across‐wind and torsional loads, are then determined and applied for structural analysis including estimation of wind‐induced responses. An improved form of GAs, a Micro‐GA, is adopted to minimize the structural cost/weight of steel buildings subject to top acceleration and lateral drifts constraints with respect to the discrete design variables of steel section sizes. The application and effectiveness of the developed integrated wind‐induced response analysis and design optimization procedure is illustrated through a 30‐storey rectangular steel building example. Copyright © 2009 John Wiley & Sons, Ltd.     

Cyclic behavior of low yield point steel shear walls

This paper presents the research works on the cyclic behavior of low yield point (LYP) steel shear wall. In the LYP steel shear wall system, the LYP steel plate is used for steel panel and conventional structural steel is used for boundary frame. A series of experimental studies were carried out to examine the stiffness, strength, deformation capacity, and energy dissipation capacity of the LYP steel shear wall under cyclic load. The effect of width-to-thickness ratio of steel plate, continuity of shear wall, and the design of beam-to-column connections on the boundary frame was examined. Good energy dissipation capacities were obtained for all specimens studied. Excellent deformation capacities were obtained from both rigid frame–shear wall system and simple frame–shear wall system. The LYP steel shear wall is able to maintain stable up to 3–6% of story drift angle. A two-force strip model was also proposed to simulate the elastic and inelastic behavior of shear wall system. Good correlations were found between experimental and analytical studies. Based on these research findings, suggestions are made for the design of LYP steel shear wall systems.     

Experimental study on seismic performance of concrete‐filled steel tabular frame‐shear wall structure with buckling‐resistant braces

Three specimens of concrete‐filled steel tubular (CFST) frame‐shear wall structures with a scaling ratio of 1:4 were designed and tested in the present study. Two of them were installed with triple‐steel tube buckling‐resistant braces (BRBs). The seismic performances of the specimens were evaluated by testing them under lateral cyclic loading with constant axially compressive load being applied on the tops of the columns and the shear wall. The structural performances, such as failure characteristics, hysteretic behaviour, skeleton curve, strength degradation, stiffness degradation, energy dissipation capacity and strains at different locations of the three specimens, were measured and analysed in detail. The results showed that the load‐bearing capacity, the deformation capacity and the energy dissipation of the CFST frame‐shear wall structure were significantly improved due to the dissipation capacity of the BRBs, with the strength and stiffness degradation being obviously reduced. The results also showed that the CFST frame‐shear wall structure with BRBs has preferable mechanical behaviour and more reasonable failure mode. It was verified that the BRB can be used to improve the seismic performance of the CFST frame‐shear wall structure. Copyright © 2014 John Wiley & Sons, Ltd.     

Bilinear Load–Displacement Curve of Semi-supported Steel Shear Walls

Elastic stiffness and ultimate shear capacity are two main parameters of a structural system to obtain its ideal bilinear load–displacement. In the previous studies, the ultimate shear capacity of semi-supported steel shear walls (SSSW) which are a new lateral resisting system, has been determined. In this system, wall plates do not have any direct connection to the main columns of structure and they are connected to secondary columns which do not carry the gravity loads. The used thin plate in the SSSW elastically buckles at low levels of lateral loads and the wall plate stays on a fairly vast region with elastic post-buckling behavior (elastic stiffness). In this study, the Von-Karman plate equations are solved by the Galerkin method to find displacement field of the wall plate in the elastic post-buckling region as well as the maximum shear load after which the plasticity expand in the wall plate. Thus, the elastic stiffness of system is calculated. As the analytical procedure is complicated, the method is applied on 144 examples with different material and geometrical properties. Using linear regression technique, a concise formula is proposed to predict the elastic stiffness of system. The dimensions of wall plate are only the effective parameters in the suggested formula and the elastic stiffness is independent of the overturning moment, section of secondary columns and yield stress of material. Using the ultimate shear capacity and elastic stiffness, an ideal bilinear curve is obtained for the lateral load versus the horizontal displacement. The shear capacity at the end of elastic post-buckling region and out of plane displacement are acceptably validated with those of FE analysis for some examples.     

An efficient resizing technique for the design of tall steel buildings subject to multiple drift constraints

This paper presents an efficient resizing technique for the optimum design of tall steel building frameworks. Specifically, an ‘optimality criteria’ method is applied to minimize the weight of a lateral load-resisting structural system of fixed topology subject to constraints on interstorey drift. By exploiting the fact for building frameworks that member forces are relatively insensitive to changes in member sizes, rigorously-derived optimality criteria are shown to be readily satisfied through an iterative pseudo-discrete optimization procedure that converges in but a few cycles to a least-weight design using commercial-standard steel sections. While not considered herein, it is a simple matter to extend the stiffness-based design procedure to account also for strength requirements. Two building framework examples are presented to illustrate the features of the design optimization method.