随机激励下多塔结构BRB布置优化及#br# 多维易损性评估

为评估随机激励下非对称多塔结构抵抗剪扭耦联破坏的抗震性能,提出基于概率密度演化方法的多维性能极限状态易损性分析方法。采用层间位移角与层间扭转角量化指标,考虑指标阈值随机性及指标间相关性,基于概率密度演化方法计算超越概率,从而获得二维性能极限状态下结构易损性曲线。对烟花算法进行离散化和等变量改进,完成屈曲约束支撑(BRB)布置优化设计,实现多塔结构的随机非线性震动控制。结果表明：所提出的易损性方法可为多塔结构抗震性能提供综合可靠评价指标,基于改进烟花算法的阻尼器布置优化设计可以有效提高结构抵抗剪扭耦联破坏的抗震性能。     

基于性能的重力式挡墙地震易损性分析

位于高烈度地震区的支挡结构时刻面临着特大震灾的严峻考验,迄今国内外还没有人针对重力式挡墙系统地做过易损性方面的研究工作。采用增量动力分析方法,考虑地震动输入的不确定性,选取PGA为地震强度参数,挡墙的位移指数D_I为性能参数,基于振动台模型试验划分了挡墙的抗震性能水准,利用FLAC^3D对8 m高的重力式挡墙进行了地震动力响应分析和地震易损性分析,通过易损性曲线对挡墙在不同地震动作用下的易损性进行了评估和对比分析。研究表明：PGA与挡墙的位移指数近似呈指数关系,当地震动加速度小于0.4g时,场地条件对墙体位移指数的影响不显著,当地震动加速度大于0.4g时,土质场地挡墙位移指数与岩石场地挡墙相比显著增大,墙体位移指数受场地条件的影响显著。当PGA<0.4g时,挡墙基本保持完好或以轻微损伤破坏为主;当PGA>0.6g时,挡墙已完全损伤,发生严重损坏的概率也较大;当PGA>0.8g时,会造成挡墙的严重损坏,甚至可能造成整体倒塌,需要采取一定的抗震加固措施。     

锈蚀钢筋混凝土结构地震易损性分析

钢筋锈蚀是影响钢筋混凝土结构耐久性的一个重要因素,会引起结构的自振周期延长、地震需求变化及抗震能力衰减,使得锈蚀钢筋混凝土结构的地震易损性分析不同于未锈蚀钢筋混凝土结构。以一栋按我国规范设计的RC框架结构为研究对象,分别建立了未锈蚀和锈蚀结构的非线性有限元模型并进行了模型验证。分别采用云图法和条带法计算得到了钢筋混凝土结构在未锈蚀和锈蚀两种工况下的地震易损性曲线和函数参数,对锈蚀钢筋混凝土结构地震易损性分析的特殊性及其对地震易损性分析结果的影响进行了分析。分析结果表明：不考虑钢筋锈蚀引起的结构自振周期延长会错误估计锈蚀钢筋混凝土结构的地震易损性水平。采用云图法分析锈蚀钢筋混凝土结构的地震易损性会出现锈蚀结构的极限状态失效概率低于未锈蚀结构的情况。而条带法比云图法可以更好地反映钢筋锈蚀对钢筋混凝土结构地震易损性的影响。忽略钢筋锈蚀引起的结构抗震能力衰减会低估锈蚀钢筋混凝土结构地震易损性水平,建议在锈蚀钢筋混凝土结构地震易损性分析中采用基于Pushover的极限状态定义方法。     

基于机器学习的钢筋混凝土柱失效模式两阶段判别方法增强出版（附加材料可在文章详情页“评审附件”下载）

钢筋混凝土柱在侧向地震力作用下具有弯曲、剪切和弯剪三种失效模式。不同的失效模式下钢筋混凝土柱具有不同的地震损伤特征。因此,准确地判别钢筋混凝土柱的失效模式对于准确评估钢筋混凝土结构的抗震性能具有重要意义。利用已有的钢筋混凝土柱滞回加载试验数据,采用机器学习方法,提出了一种钢筋混凝土柱失效模式两阶段判别方法。其中,第一阶段以钢筋混凝土柱的基本设计参数为输入变量,采用机器学习中的回归算法,建立钢筋混凝土柱的受弯承载力、受剪承载力、弯曲变形和剪切变形预测模型。第二阶段以钢筋混凝土柱的受弯承载力、受剪承载力、弯曲变形和剪切变形作为输入变量,采用机器学习中的分类算法,对钢筋混凝土柱的失效模式进行自动判别,实现了准确判别钢筋混凝土柱失效模式的目的。研究结果表明：极端随机树、AdaBoost、随机森林和梯度提升算法分别对受弯承载力、受剪承载力、弯曲变形和剪切变形的预测效果最佳;极端随机树、梯度提升算法和最近邻居法分别对弯曲失效、剪切失效和弯剪失效具有最佳的分类效果;相比已有的钢筋混凝土柱失效模式分类方法,提出的两阶段分类方法具有与真实失效模式最为接近的分类结果,分类精度可以达到96%。     

Seismic fragility analysis of reinforced concrete structures considering reinforcement corrosion

钢筋锈蚀是影响钢筋混凝土结构耐久性的一个重要因素，会引起结构的自振周期延长、地震需求变化及抗震能力衰减，使得锈蚀钢筋混凝土结构的地震易损性分析不同于未锈蚀钢筋混凝土结构。以一栋按我国规范设计的RC框架结构为研究对象，分别建立了未锈蚀和锈蚀结构的非线性有限元模型并进行了模型验证。分别采用云图法和条带法计算得到了钢筋混凝土结构在未锈蚀和锈蚀两种工况下的地震易损性曲线和函数参数，对锈蚀钢筋混凝土结构地震易损性分析的特殊性及其对地震易损性分析结果的影响进行了分析。分析结果表明：不考虑钢筋锈蚀引起的结构自振周期延长会错误估计锈蚀钢筋混凝土结构的地震易损性水平。采用云图法分析锈蚀钢筋混凝土结构的地震易损性会出现锈蚀结构的极限状态失效概率低于未锈蚀结构的情况。而条带法比云图法可以更好地反映钢筋锈蚀对钢筋混凝土结构地震易损性的影响。忽略钢筋锈蚀引起的结构抗震能力衰减会低估锈蚀钢筋混凝土结构地震易损性水平，建议在锈蚀钢筋混凝土结构地震易损性分析中采用基于Pushover的极限状态定义方法。     

A machine-learning-based two-step method for failure mode classification of reinforced concrete columns

钢筋混凝土柱在侧向地震力作用下具有弯曲、剪切和弯剪三种失效模式。不同的失效模式下钢筋混凝土柱具有不同的地震损伤特征。因此，准确地判别钢筋混凝土柱的失效模式对于准确评估钢筋混凝土结构的抗震性能具有重要意义。利用已有的钢筋混凝土柱滞回加载试验数据，采用机器学习方法，提出了一种钢筋混凝土柱失效模式两阶段判别方法。其中，第一阶段以钢筋混凝土柱的基本设计参数为输入变量，采用机器学习中的回归算法，建立钢筋混凝土柱的受弯承载力、受剪承载力、弯曲变形和剪切变形预测模型。第二阶段以钢筋混凝土柱的受弯承载力、受剪承载力、弯曲变形和剪切变形作为输入变量，采用机器学习中的分类算法，对钢筋混凝土柱的失效模式进行自动判别，实现了准确判别钢筋混凝土柱失效模式的目的。研究结果表明：极端随机树、AdaBoost、随机森林和梯度提升算法分别对受弯承载力、受剪承载力、弯曲变形和剪切变形的预测效果最佳；极端随机树、梯度提升算法和最近邻居法分别对弯曲失效、剪切失效和弯剪失效具有最佳的分类效果；相比已有的钢筋混凝土柱失效模式分类方法，提出的两阶段分类方法具有与真实失效模式最为接近的分类结果，分类精度可以达到96%。     

Dynamic response and reliability analysis of tall buildings subject to wind loading

This paper explores the wind stochastic field from a new viewpoint of stochastic Fourier spectrum (SFS). The basic random parameters of the wind stochastic field, the roughness length z₀ and the mean wind velocity at 10 m height U₁₀, as well as their probability density functions (PDF), are obtained. It provides opportunities to use probability density evolution method (PDEM), which had been proved to be of high accuracy and efficiency, in computing the dynamic response and reliability of tall buildings subject to the wind loading. Principals and corresponding numerical solving algorithm of the PDEM are first presented. Then, the adopted model of the wind stochastic field is described briefly. The simulation method of the fluctuating wind velocity based on the SFS is introduced. Finally, as an example of the application of the PDEM, a 20-storey frame subject to wind loading is investigated in detail. The responses, including the mean value and the standard deviation, and the reliabilities of the frame are evaluated by the PDEM. The results demonstrate that the PDEM is applicable and efficient in the dynamic response and reliability analysis of wind-excited tall building.     

Seismic fragility analysis of low-rise unreinforced masonry structures

Unreinforced masonry (URM) is one of the most common structural types for low-rise buildings in the United States. Its dynamic behavior is highly nonlinear, and generally shows high vulnerability to seismic loading. Despite the need for seismic risk assessment of this class of structures, the fragility curves for URM buildings based on analytical models are scarce in the field of earthquake engineering. This study performs seismic fragility analysis of a URM low-rise building. Fragility curves are developed for a two-story URM building designed to represent a typical essential facility (i.e., a firehouse) in the central and southern US (CSUS) region. A structural modeling method is proposed such that it can be effectively used for fragility analysis without significant increase in computational time, and maintains an acceptable level of accuracy in representing the nonlinear behavior of the structures. A set of fragility curves are developed and include different configurations of the out-of-plane walls and their associated stiffness. The fragility analysis shows that the seismic performance of URM buildings is well below the desirable building seismic performance level recommended by current seismic codes, indicating high vulnerability of URM buildings within the CSUS region. It is also shown that the out-of-plane wall stiffness should not be ignored in the risk assessment of URM buildings because the overall seismic performance of URM buildings is rather sensitive to the out-of-plane wall stiffness. The analytical fragility curves developed are compared with those of HAZUS. The comparison shows that the analytical fragility curves developed have lower variation in the seismic response than those of HAZUS. Several reasons for the discrepancy are discussed. The model-based analytical fragility curves developed in this study can increase the accuracy and effectiveness of seismic risk assessment of essential facilities of the CSUS region. Moreover, the structural modeling method introduced in this study can be effectively used for development of the fragility curves of URM buildings.     

Seismic motion response and fragility analyses of cantilever retaining walls with cohesive backfill

The seismic motion response of a cantilever retaining wall with cohesive and cohesionless backfill materials was evaluated using fully dynamic analysis based on finite difference method. The dynamic analysis was validated based on experimental test results and then compared to analytical and empirical correlations based on Newmark sliding block method. Seven different earthquake events and the backfills with low to high levels of cohesion were considered. Nonlinear regression analyses were carried out to provide correlations between free-field peak ground acceleration (PGA) and maximum relative displacement of the retaining wall. These results were compared to results from empirical and analytical methods. Furthermore, fragility analyses were conducted to determine the probability of damage to the retaining wall for different free-field PGAs and backfill cohesions. It is demonstrated to what extent a small amount of cohesion in backfill material can influence displacement of the retaining wall and probability of damage in seismic conditions.     

基于IDA的高面板堆石坝抗震性能评价

抗震性能分析能够有效估计结构在地震作用下的危险性,逐渐成为抗震安全性评价的重要方法,但由于结构的复杂性,该方法在面板堆石坝方面的应用还处于起步阶段。随着强震区大量高面板堆石坝的建设,这些高坝的安全性是必须要考虑的重大问题,因此对大坝进行抗震性能分析至关重要。增量动力分析(IDA)法作为一种抗震性能分析方法,能够全面、深入地分析在不同强度地震作用下结构性能的变化。将IDA法引入到高面板堆石坝安全评价领域,建立了高面板堆石坝地震破坏性能评价方法。根据场地条件选取了15条不同的强震动记录,以地震峰值加速度PGA为地震动参数,采用坝体地震震后变形、坝坡稳定性、面板防渗体安全为抗震性能评价指标,选取合适的性能参数,建议了高面板堆石坝各评价指标的破坏等级划分标准,通过大量非线性有限元计算,得到各性能参数的地震易损性曲线,分析了大坝在不同强度地震作用下发生破坏的概率,成果可为高面板堆石坝抗震性能设计和安全风险评估提供参考和依据。     

Seismic performance analysis and evaluation of tall structures using grille-type steel plate composite shear walls

Grille-type steel plate composite (GSPC) shear wall is an innovative wall system consisting of concrete cores, steel faceplates, steel tie plates, and steel channels with more advantages than conventional reinforced concrete (RC) walls, including better ductility, higher bearing capacity, and easy-modular characteristics. This paper mainly discusses the seismic performance and damage resistance of GSPC walls to the entire structure from the aspect of the structural level. Three nonlinear numerical models of high-rise structures with different structural heights and types were established by PERFORM-3D software to study the influence of GSPC walls on the change in structural internal forces and deformations compared with RC walls. One of these structures was selected to conduct the seismic fragility analysis based on the incremental dynamic analysis and to assess the structure's seismic performance with GSPC walls. Finally, the seismic damage prediction method was used to evaluate the damage levels of the GSPC wall structure. Results indicate that the structures with GSPC walls suffer more significant seismic forces than those with RC walls, although they experience lesser structural deformations. Moreover, GSPC walls can effectively improve the structure's collapse and seismic damage resistance.     

Seismic response and fragility analysis of fiber-reinforced concrete frame-shear wall structure

为研究在关键部位采用聚乙烯醇纤维增强混凝土材料的结构的地震反应,利用Perform-3D软件对一栋10层的框架 剪力墙结构进行单向罕遇地震（50年超越概率2%）作用下的非线性动力时程反应分析。结果表明,随着结构地震损伤程度的增加,纤维增强混凝土的优良性能发挥更加充分,对结构的抗震性能改善作用也更加明显;结构基本周期对应的加速度反应谱强度S_a(T₁)能较好地反映结构的损伤程度,适合作为地震动强度衡量指标。依据FEMA P695建议的增量动力分析方法,对22对地震动记录进行标准化处理和调幅,并通过结构地震易损性函数,给出结构在不同强度地震作用下达到“防止倒塌”极限状态的失效概率。对于框架-剪力墙结构,建议可采用墙肢塑性铰转角作为其“防止倒塌”极限状态地震易损性分析的结构反应参数。     

巨型钢框架MSCSS抗震动力可靠度研究

通过有限元分析软件SAP2000对巨–子型有控结构进行建模,利用SAP2000中的动力时程分析法,分别选用实测的地震动记录和通过HHT方法合成的El-Centro人工波,对巨–子型有控结构及巨型框架结构进行弹塑性时程分析;利用SAP2000与MATLAB接口程序将SAP2000的分析结果在MATLAB软件中做进一步的计算分析,进行结构随机地震响应的概率密度演化分析,采用首次超越破坏机制,定义结构层间位移为极限状态控制指标,确定了基于概率密度演化方法的结构抗震动力可靠度的计算方法。结果表明:巨-子型有控结构比巨型框架结构具有更好的振动控制性能,抗震动力可靠度远大于巨型框架结构的抗震动力可靠度,具有更高的结构安全性和可靠性。     

Analytical evaluation of essential facilities fragility curves by using a stochastic approach

The study presented in this paper is focused on an analytical method for constructing fragility curves of a given class of existing structures, based on a stochastic approach and which makes use of the Hazus database. The analysed structure is a non-linear one degree of freedom (SDoF) system: its constitutive law is described by means of a hysteretic model, whose parameters are obtained by an identification procedure starting from the Hazus data. A particular class of structures, the essential facilities, are analyzed.The system’s response to seismic action, here modelled by means of the modulated Clough and Penzien filtered stochastic process, is obtained by using the stochastic linearization technique and the covariance analysis. In order to develop the fragility curves, a displacement based damage index is adopted and, finally, fragility curves are obtained in terms of the probability of exceeding a given damage level, by using an approximate theory of stochastic processes. The main innovation of the proposed approach is that it can be directly extended to other kinds of structures which are not included in the Hazus database, since the procedure requires only the knowledge of the capacity curve, which can be obtained by standard procedures.     

基于试验的大跨异形钢连廊连体结构地震易损性分析

为研究大跨异形钢连廊连体结构的地震易损性,以某实际工程为研究背景,首先分别定义连体结构中的框架剪力墙结构、橡胶支座端和预埋锚固端的极限状态与损伤指标,并采用有限元软件SAP2000建立分析模型。其次,根据结构所在的场地条件,选取了24条地震动记录,并对结构进行三向地震激励下的增量动力分析。在此基础上,以最大层间位移角、橡胶支座的剪切应变和预埋锚固端的损伤因子作为结构地震需求参数,以地面峰值加速度作为地震动强度参数,根据增量动力分析的结果,得到大跨异形钢连廊连体结构的地震易损性曲线。最后,采用振动台试验对易损性分析结果进行验证。结果表明：在8度罕遇地震时,主楼、附楼I、橡胶支座端及角钢预埋锚固端发生毁坏的超越概率分别为0.8%、0.3%、0及47.7%,整体结构发生毁坏的超越概率上界为48.4%,下界为47.7%。这说明用局部结构的地震易损性来评价整体结构的地震易损性是偏于不安全的。易损性分析结果也显示连体结构易发生损坏的部位依次是预埋锚固端、主楼、附楼I和橡胶支座端,这与振动台试验结果相同。建议在设计中加强连体结构的锚固端,保证其可靠连接。     

Orthogonal expansion of Gaussian wind velocity field and PDEM-based vibration analysis of wind-excited structures

An effective procedure for simulation of random wind velocity field by the orthogonal expansion method is proposed in this paper. The procedure starts with decomposing the fluctuating wind velocity field into a product of a stochastic process and a random field, which represent the time property and the spatial correlation property of wind velocity fluctuations, respectively. By an innovative orthogonal expansion technology, the stochastic process for wind velocity fluctuations may be represented as a finite sum of deterministic time functions with corresponding uncorrelated random coefficients. Similarly, the random field can be expressed as a combination form with only a few random variables by the Karhunen-Loeve decomposition. This approach actually simulates the wind velocity field with stochastic functions other than methods such as spectral representation and proper orthogonal decomposition. In the second part of the paper, the probability density evolution method (PDEM) is employed to predict the stochastic dynamic response of structures subjected to wind excitations. In the PDEM, a completely uncoupled one-dimensional partial differential equation, the generalized density evolution equation, plays a central role in governing the stochastic responses of structures. The solution of this equation will give rise to instantaneous probability density function of the responses. Finally, the accuracy and effectiveness of the approach in representing the random wind velocity field and PDEM-based dynamic response of wind-excited building are investigated.     

路堤震害风险概率评价与管理研究

 路堤震害在破坏性地震中十分普遍,开展路堤震害风险概率评价并提出合理的震害风险管理方法对提高公路抗震能力和区域防灾减灾能力具有重要意义。进行路堤震害等级划分,选取路堤震害损伤参数,建立路堤震害等级与震害损伤参数的对应关系;以连霍高速公路西宝段K1125+470处路堤为例开展基于CPSHA的公路地震危险性评价,基于IDA和PSDA的路堤震害易损性评价以及基于危险性曲线的路堤震害风险概率评价;在明确路堤震害风险可接受度的基础上提出路堤震害风险管理方法,验证挡土墙对提高路堤抗震性能的积极作用。研究结果表明：连霍高速公路西宝段地震危险性评价结果比第四代地震区划图略高,这与目前渭河断陷盆地地震活跃的现实是一致的;PGA(PGA为地震动峰值加速度)达到0.6 g时,路堤超越严重损伤的概率为65.910%,达到0.8 g时,超越严重损伤的概率为99.995%,说明路堤震害易损性较高;路堤未来50 a超越严重损伤的风险概率为36.46%,发生基本完好和轻微损伤的风险概率为28.49%;以路堤未来50 a发生毁坏的风险概率40%为风险可接受度,路堤震害风险管理方法适用于新建路堤的抗震设计和已建路堤的抗震加固;未来50 a有挡土墙路堤超越严重损伤的风险概率比无挡土墙路堤低15.29%,发生基本完好和轻微损伤的风险概率比无挡土墙路堤高15.62%。     

Seismic performance of viaducts with probabilistic method

Due to the uncertainty of both ground motions and structural capacity, it is necessary to consider the seismic performance of viaduct structures using the probabilistic method. The risk is quantified by a procedure on the basis of a numerical determination of the fragility curves. A group of ground motions, Large Magnitude-Short Distance Bin (LMSR-N), selected specially due to its response spectra, is accorded well with the corresponding spectra of the Chinese code for seismic design. The characteristic values of the curvature ductility factors for the serviceability and the damage control limit states are obtained, and two equations for estimating the characteristic values of the curvature ductility factors are developed through regression analysis. Then, the serviceability and damage control limit states were proposed. Three damage states were constituted according the results of the experiment by Pacific Earthquake Engineering Research (PEER) Center. The analytical fragility curves were obtained specifically, using both Capacity Spectrum Method (CSM) (non-linear static) analysis and Ineremental Dynamic Method (IDM) (non-linear dynamic) analysis, respectively, in this paper. The structural fragility curves developed by CSM method can help make the structural analysis simple and quick, avoiding the implementation of the dynamic response history analysis (RHA). Although the dynamic RHA requires a lot of complicated analysis for the structure, the results from RHA are reliable and accurate. Fragility curves are powerful tools for use in performance-based seismic bridge design.     

基于性能的自复位钢框架震后功能恢复能力量化分析

自复位结构由于具有较好的抗震性能,近年来得到学者的广泛关注。目前对自复位结构体系的抗震性能评估仍然集中在结构的最大层间位移角、楼层的峰值加速度和残余层间位移角等,而对该结构体系的综合抗震性能评估较少,因此基于功能恢复能力的概念,以自复位耗能支撑钢框架和自复位屈曲约束支撑钢框架为例,对两种结构分别进行增量动力分析,得到结构体系的地震易损性曲线。进而计算结构的直接经济损失,基于地震损失评估模型,评估结构体系震后的恢复时间和总损失。最后,采用三种不同的功能恢复函数模型,对比分析了两种自复位结构震后功能恢复能力,为自复位结构体系的抗震性能分析提供参考。     

基于性能的多层砌体结构地震易损性分析

为评估不同年代多层砖房的抗震性能,根据构造柱设置情况将多层砌体结构分为5个抗震措施类别,以静力非线性方法为基础,并利用层间位移角作为衡量不同破坏状态的量化指标,提出基于性能的多层砌体结构地震易损性分析方法。为考虑地震动的随机性和结构的随机性,采用蒙特卡洛法生成200万个结构-地震动随机样本并对其进行分析,建立多层砌体结构的地震易损性曲线,研究结构层数、抗震措施、材料强度、抗震墙面积率等因素对多层砌体结构地震易损性的影响。结果表明,结构层数对多层砌体结构地震易损性的影响最大,材料强度、抗震措施和抗震墙面积率对多层砌体结构地震易损性也有较大影响。基于易损性分析结果所建立的某多层砌体结构的地震易损性矩阵,可为基于性能的抗震评估提供参考。