Application of buckling-restrained braces in the seismic control of suspension bridges

Buckling-restrained braces(BRBs)are widely used to improve the seismic performance of buildings.This paper aims to introduce BRBs to suspension bridges and assess the seismic performance of bridges with BRBs.Taking the Dadu River Bridge as a case study,an FEA model of the bridge is established,and different seismic measures(BRBs between the deck and the tower,BRBs at the middle of the span to replace the inclined suspenders to connect the deck and the main cables,fluid viscous dampers(FVDs)between the deck and the tower,the combination of BRBs to replace the inclined suspenders as well as FVDs between the deck and the tower)are applied to the suspension bridge.The influence of the parameters of BRBs on the seismic response of the suspension bridge is studied,and the performance of the bridge with BRBs is compared with that of the bridge with FVDs.The results indicate that the use of BRBs in place of the inclined suspenders is beneficial to reduce the displacement of the deck and limit the shear force and bending moment of the tower.The seismic performance of the suspension bridge with BRBs and FVDs is better than that of the bridge with BRBs or FVDs.Therefore,the application of BRBs is a feasible method to improve the seismic performance of the suspension bridge.

Development and subassemblage cyclic testing of hybrid buckling-restrained steel braces

Buckling-restrained braced frames(BRBFs) are vulnerable to relatively higher post-earthquake residual drifts under high intensity ground shakings. This is primarily due to the low axial elastic and post-elastic stiffness of bucklingrestrained braces(BRBs) satisfying the design force demand requirements. In the present study, a hybrid buckling restrained bracing system consisting of a short yielding core length BRB component and a conventional buckling-type brace component connected in series has been developed with an aim to increase the axial stiffness of braces. This study is focused on the experimental investigation of six hybrid bucking restrained braces(HBRBs) to investigate their overall behavior, loadresisting capacity, strength-adjustment factors and energy dissipation potential. The main parameters varied are the crosssectional area, the yielding length of core elements as well as the detailing of buckling-restraining system of short yielding core length BRBs. Test results showed that the HBRBs with yielding core length in the range of 30% of work-point to workpoint lengths withstood an axial strain of 6% without any instability and can deliver stable and balanced hysteretic response and excellent energy dissipation under reversed cyclic loading conditions.

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.

Assessment of buckling-restrained braced frame reliability using an experimental limit-state model and stochastic dynamic analysis

Buckling-restrained braces （BRBs） have recently become popular in the United States for use as primary members of seismic lateral-force-resisting systems. A BRB is a steel brace that does not buckle in compression but instead yields in both tension and compression. Although design guidelines for BRB applications have been developed, systematic procedures for assessing performance and quantifying reliability are still needed. This paper presents an analytical framework for assessing buckling-restrained braced frame （BRBF） reliability when subjected to seismic loads. This framework efficiently quantifies the risk of BRB failure due to low-cycle fatigue fracture of the BRB core. The procedure includes a series of components that： （1） quantify BRB demand in terms of BRB core deformation histories generated through stochastic dynamic analyses; （2） quantify the limit-state of a BRB in terms of its remaining cumulative plastic ductility capacity based on an experimental database; and （3） evaluate the probability of BRB failure, given the quantified demand and capacity, through structural reliability analyses. Parametric studies were conducted to investigate the effects of the seismic load, and characteristics of the BRB and BRBF on the probability of brace failure. In addition, fragility curves （i.e., conditional probabilities of brace failure given ground shaking intensity parameters） were created by the proposed framework. While the framework presented in this paper is applied to the assessment of BRBFs, the modular nature of the framework components allows for application to other structural components and systems.

Deterministic and probabilistic analysis of great-depth braced excavations:A 32 m excavation case study in Paris

The Fort d’Issy-Vanves-Clamart(FIVC)braced excavation in France is analyzed to provide insights into the geotechnical serviceability assessment of excavations at great depth within deterministic and probabilistic frameworks.The FIVC excavation is excavated at 32 m below the ground surface in Parisian sedimentary basin and a plane-strain finite element analysis is implemented to examine the wall deflections and ground surface settlements.A stochastic finite element method based on the polynomial chaos Kriging metamodel(MSFEM)is then proposed for the probabilistic analyses.Comparisons with field measurements and former studies are carried out.Several academic cases are then conducted to investigate the great-depth excavation stability regarding the maximum horizontal wall deflection and maximum ground surface settlement.The results indicate that the proposed MSFEM is effective for probabilistic analyses and can provide useful insights for the excavation design and construction.A sensitivity analysis for seven considered random parameters is then implemented.The soil friction angle at the excavation bottom layer is the most significant one for design.The soil-wall interaction effects on the excavation stability are also given.

Stability Performance of Buckling-Restrained Brace with Brace Joints

The stability and ductility of four buckling-restrained braces (BRBs) with brace joints were studied. The load-carrying element of BRB was fabricated with steel (Chinese Q235), and a layer of colloidal silica sheet (0.5 mm in thickness) or four layers of plastic film (0.2 mm in thickness) were used as unbonding materials to provide space to prevent the buckling of inner core in higher modes and facilitate its lateral expansion in case of compression. Based on the equation of BRBs with brace joints of different restrained stiffnesses, the buckling load is calculated considering the initial geometric imperfections and residual stress, and the theoretical values agree well with the experiment results. It is concluded that the buckling load and ductility of BRBs are influenced greatly by the restrained stiffness of brace joints. If the restrained stiffness is deficient, the unstrained segment of BRBs with less stiffness will buckle firstly. As a result, the ultimate load of BRBs decreases, and the maximum compression load is reduced to about 65% of the maximum tension load; the stiffness also degenerates, and there is a long decreasing stage on the back-bone curve in compression phase; the ductility decreases, i.e., the ultimate tension ductility and ultimate compression ductility are approximately 15 and 1.3 respectively, and the cumulative plastic ductility is only approximately 200. If the restrained stiffness of joint is large enough, the stability will be improved as follows: the yielding strength and ultimate strength of BRBs are nearly the same, and there is an obvious strain intensification in both tension and compression phases; the ductility of brace also increases obviously, i.e., the ultimate tension ductility and ultimate compression ductility are both approximately 14, and the cumulative plastic ductility reaches 782.

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.

Mathematical modeling and full-scale shaking table tests for multi-curve buckling restrained braces

Buckling restrained braces （BRBs） have been widely applied in seismic mitigation since they were introduced in the 1970s. However, traditional BRBs have several disadvantages caused by using a steel tube to envelope the mortar to prevent the core plate from buckling, such as： complex interfaces between the materials used, uncertain precision, and time consumption during the manufacturing processes. In this study, a new device called the multi-curve buckling restrained brace （MC-BRB） is proposed to overcome these disadvantages. The new device consists of a core plate with multiple neck portions assembled to form multiple energy dissipation segments, and the enlarged segment, lateral support elements and constraining elements to prevent the BRB from buckling. The enlarged segment located in the middle of the core plate can be welded to the lateral support and constraining elements to increase buckling resistance and to prevent them from sliding during earthquakes. Component tests and a series of shaking table tests on a full-scale steel structure equipped with MC-BRBs were carried out to investigate the behavior and capability of this new BRB design for seismic mitigation. The experimental results illustrate that the MC-BRB possesses a stable mechanical behavior under cyclic loadings and provides good protection to structures during earthquakes. Also, a mathematical model has been developed to simulate the mechanical characteristics of BRBs.

Seismic retrofitting of reinforced concrete frame structures using GFRP-tube-confined-concrete composite braces

This paper presents a new type of structural bracing intended for seismic retrofitting use in framed structures. This special composite brace, termed glass-fiber-reinforced-polymer （GFRP）-tube-confined-concrete composite brace, is comprised of concrete confined by a GFRP tube and an inner steel core for energy dissipation. Together with a contribution from the GFRP-tube confined concrete, the composite brace shows a substantially increased stiffness to control story drift, which is often a preferred feature in seismic retrofitting. An analysis model is established and implemented in a general finite element analysis program - OpenSees, for simulating the load-displacement behavior of the composite brace. Using this model, a parametric study of the hysteretic behavior （energy dissipation, stiffness, ductility and strength） of the composite brace was conducted under static cyclic loading and it was found that the area ratio of steel core to concrete has the greatest influence among all the parameters considered. To demonstrate the application of the composite brace in seismic retrofitting, a three-story nonductile reinforced concrete （RC） frame structure was retrofitted with the composite braces. Pushover analysis and nonlinear time-history analyses of the retrofitted RC frame structure was performed by employing a suite of 20 strong ground motion earthquake records. The analysis results show that the composite braces can effectively reduce the peak seismic responses of the RC frame structure without significantly increasing the base shear demand.

Do ankle braces provide similar effects on ankle biomechanical variables in subjects with and without chronic ankle instability during landing?

Purpose:The purpose of this study was to examine effects of a sport version of a semi-rigid ankle brace(ElementTM) and a soft ankle brace （ASO） on ankle biomechanics and ground reaction forces（GRFs） during a drop landing activity in subjects with chronic ankle instability(CAD compared to healthy subjects with no history of CAI. Methods:Ten healthy subjects and 10 subjects who had multiple ankle sprains participated in the study as the control and unstable subjects, respectively.The CAI subjects were age,body mass index and gender matched with the control subjects.The arch index and ankle functions of the subjects were measured in a subject screening session.During the biomechanical test session,participants performed five trials of drop landing from 0.6 m,wearing no brace（NB）.Element? brace and ASO brace.Simultaneous recording of three-dimensional kinematic（240 Hz） and GRF（1200 Hz） data were performed. Results:The CAI subjects had lower ankle functional survey scores.The arch index and deformity results showed greater arch deformity of ElementTM against a static load than in NB and ASO due to greater initial arch position held by the brace.CAI participants had greater eversion velocity than healthy controls.The ASO brace reduced the first peak vertical GRF whereas ElementTM increased 2nd peak vertical GRF. ElementTMbrace reduced eversion range of motion（ROM） and peak eversion velocity compared to NB and ASO.In addition,ElementTM reduced dorsiflexion ROM and increased peak plantarflexion moment compared to NB and ASO. Conclusion:Results of static arch measurements and dynamic ankle motion suggest that the restrictions offered by both braces are in part due to more dorsiflexed ankle positions at contact,and higher initial arch position and stiffer ankle for ElementTM.

Experimental study on slender buckling-restrained knee braces with round steel bar cores

This study aimed to investigate a novel slender buckling-restrained knee brace damper (BRKB) for welded and weld-free steel framing systems. The proposed BRKB adopts steel bar cores connected by a central coupler and restrained by tube buckling restrainers with a cover tube supporter. The advantages of the proposed damper include easy assembly compared to conventional buckling restrained braces, and high architectural flexibility for the retrofitting of large-span weld-free or welded steel moment-resisting systems. Specifically, by increasing the number of contraction allowances, undesirable failure mechanisms that are global instability and local buckling of the restrainer ends can be effectively suppressed because the more uniform plastic deformation of the core bar can be achieved longitudinally. In this study, displacement-controlled compression and cyclic loading tests were carried out to investigate the deformation capacities of the proposed BRKBs. Structural performance metrics associated with both loading tests, such as strength capacities, strains at the cover tubes and buckling restrainers, and hysteretic behaviors of the proposed damper under cyclic loads, were measured and discussed. Test results revealed that the geometrical characteristics of the cover tubes and adopted contraction allowances at the dampers play essential roles in their load-bearing capacities.

一类brace中的thin边

证明若一个brace含有一个四圈C_(4),且该四圈中包含两个相邻的三度点,则该brace至少有一条thin边在该C_(4)中.

Internal-Brace联合改良的Brostrom术治疗慢性踝关节外侧不稳的疗效

目的评价Internal-Brace联合改良的Brostrom术治疗慢性踝关节外侧不稳的疗效。方法回顾性分析陆军第八十一集团军医院骨科2019-01至2021-12收治的29例慢性踝关节外侧不稳患者,全部行Internal-Brace联合改良的Brostrom术,采用美国足踝外科协会(AOFAS)踝-后足评分系统,前抽屉试验,Karlsson-Peterson评分系统进行手术效果评价,采用视觉模拟评分法(VAS)评价手术前、后踝部疼痛。结果所有患者均获得随访,其中28例末次随访时均能完成3 km跑等训练任务,基本恢复伤前训练水平,1例术后3 d出现切口感染,感染率3.4%;28例AOFAS评分由手术前(34.7±7.4)分提高到末次随访时的(86.6±3.3)分,差异有统计学意义(P<0.01),所有患者术后前抽屉试验阴性,Karlsson-Peterson评分由术前(62.4±9.5)分提高到末次随访时的(92.6±4.5)分,差异有统计学意义(P<0.01),VAS评分由术前(7.1±0.7)分降低到末次随访时的(2.3±0.8)分,差异有统计学意义(P<0.01)。结论Internal-Brace联合改良的Brostrom术治疗慢性踝关节外侧不稳效果显著,能明显改善患者踝关节功能。

Internal brace与带线锚钉通过改良Broström术治疗慢性踝关节不稳的疗效对比

目的比较internal brace(IB)与带线锚钉通过改良Broström术治疗慢性踝关节不稳的临床疗效。方法回顾性分析2019年5月至2022年2月在桂林市人民医院本院关节骨科行手术治疗的42例慢性踝关节外侧不稳患者资料,根据距腓前韧带修补所用材料的不同将患者分为IB组(19例)和带线锚钉组(23例)。比较两组患者一般资料、手术时间、并发症发生率、术后完全负重行走时间、术后恢复跑步的时间、美国足踝外科协会(American Orthopedic Foot and Ankle Society,AOFAS)踝-后足功能评分、视觉模拟评分法(visual analog scale,VAS)评分。结果所有患者术后均获得随访,随访时间12~18个月,平均(13.8±5.3)个月。两组患者基线资料差异无统计学意义(P>0.05);两组各有1例术口拆线后再出现渗液,换药后愈合;两组各有2例术口区域感觉障碍,除IB组有1例术后半年仍未完全恢复外,其余3例术后2~3个月恢复;IB组患者术后6周随访时AOFAS评分优于带线锚钉组,差异有统计学意义(t=2.239,P=0.025),但术后6周时VAS评分比较差异无统计学意义(t=0.308,P=0.760);末次随访时AOFAS评分和VAS评分比较,两组之间差异无统计学意义(t=0.045,P=0.965;t=0.203,P=0.840);IB组术后完全负重行走时间、术后恢复跑步的时间显著早于带线锚钉组,差异有统计学意义(t=26.566,P<0.01;t=4.838,P<0.01)。结论IB与带线锚钉通过改良Broström术开放治疗慢性踝关节不稳的临床疗效满意,且使用IB在早期康复和重返运动方面优于带线锚钉。

Nuss procedure for the correction of pectus excavatum by using double braces in adolescence

Objective To investigate the indication,feasibility and technique of minimally invasive Nuss procedure with thoracoscope by using double braces in the treatment of wide-scope pectus excavatum repairing in adolescence. Methods 31 patients including 24 boys and 7 girls,suffered from pectus excavtum were corrected by Nuss procedure under thoracoscope. The average age

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%。