CONVEX MODEL FOR SEISMIC DESIGN OF STRUCTURES—I: ANALYSIS

A convex model is used to estimate the maximum response of structural systems subjected to uncertain seismic excitations. The convex model is based on the assumption that the energy of the excitation is bounded . A reduction factor, defined in the modal domain by dividing the results obtained from the convex model by those from the time history of the actual record, is used to calibrate the convex model. An average reduction factor is also defined by averaging a set of excitation-specific reduction factors. The average reduction factor can be used for unknown excitations with an assumed energy bound and certain common earthquake characteristics. These common characteristics can be defined either by a set of previous earthquakes in the region or by regional earthquake spectra. The convex model using the average reduction factor yields acceptable predictions of the maximum response.     

Optimal seismic design of reinforced concrete structures under timehistory earthquake loads using an intelligent hybrid algorithm

A reliable seismic-resistant design of structures is achieved in accordance with the seismic design codes by designing structures under seven or more pairs of earthquake records. Based on the recommendations of seismic design codes, the average time-history responses(ATHR) of structure is required. This paper focuses on the optimal seismic design of reinforced concrete(RC) structures against ten earthquake records using a hybrid of particle swarm optimization algorithm and an intelligent regression model(IRM). In order to reduce the computational time of optimization procedure due to the computational efforts of time-history analyses, IRM is proposed to accurately predict ATHR of structures. The proposed IRM consists of the combination of the subtractive algorithm(SA), K-means clustering approach and wavelet weighted least squares support vector machine(WWLS-SVM). To predict ATHR of structures, first, the input-output samples of structures are classified by SA and K-means clustering approach. Then, WWLS-SVM is trained with few samples and high accuracy for each cluster. 9- and 18-storey RC frames are designed optimally to illustrate the effectiveness and practicality of the proposed IRM. The numerical results demonstrate the efficiency and computational advantages of IRM for optimal design of structures subjected to time-history earthquake loads.     

多点激励下圆柱面巨型网格结构地震响应分析

空间相关性对大跨度空间结构的影响不容忽视。本文采用动力时程分析方法对圆柱面巨型网格结构进行了多点激励下的地震响应分析,并与一致激励下的结构地震响应进行对比,探讨了主体结构单独承载和子结构参与协同承载这2种情况下,不同行波激励对结构关键节点和杆件响应的影响及其变化特点;通过比较分析结构在多点激励和一致激励下的响应差异,得出圆柱面巨型网格结构在地震输入时需考虑多点激励的结论,可供该类结构的抗震设计参考。     

隔震结构地震波选择方法研究

隔震结构的设计一般是采用时程分析算法进行的,故选择合适的地震波十分重要。而目前设计人员往往依据隔震前模型进行隔震设计,存在一定的不合理性。本文依据隔震前和隔震后两种不同的选波模型和对地震波反应谱控制频段的不同提出三种选波方案:方案一为对所选地震动的加速度反应谱在场地特征周期Tg附近的平台段和隔震前结构基本周期T1a所在下降段的控制;方案二为对在Tg附近的平台段和隔震后结构基本周期T1b所在下降段的控制;方案三为对所选地震动的加速度反应谱在Tg附近的平台段和隔震前、后两结构基本周期段的分别控制。通过对某五层混凝土框架隔震结构分别输入三种方案所选的20条地震动记录,对比隔震结构的水平向减震系数的离散性,分析罕遇地震作用下支座位移的合理性,证明方案三可以取得最优的计算结果,并提出一种基于规范设计反应谱不同频段的三频段控制选波方法。此外选取5个不同结构形式的工程算例验证三频段控制选波方法对于一般结构的适用性。     

几条地震波的归一化时-频反应谱分析

时-频反应谱是地震动幅值、频谱和持时三要素构成的空间三维谱.基于此,本文提出归一化时-频反应谱定义与计算方法,计算三条典型地震波的归一化时-频反应谱,对比分析表明:不同地震记录的时-频反应谱的幅值在时间和周期两个轴上的分布差别很大,具有不同时-频反应谱的地震波可能对结构地震响应产生不同影响;对12层钢筋混凝土框架结构模型进行弹塑性时程分析,通过结构地震反应、结构损伤曲线与输入地震动的归一化时-频反应谱对比,发现结构最大反应并不一定是造成结构倒塌的直接原因,用结构弹性阶段反应最大值进行抗震设计存在一定局限性,从而证明归一化时-频反应谱可有效用来分析地震动特性和结构破坏机理.     

Optimum design of actively controlled structures

The optimum design of seismic structures equipped with active controls is presented. The design variables are structural parameters, such as structural stiffness or moment of inertia. The optimization procedure is carried out in two stages. First, the optimal control forces are expressed in closed form, as implicit functions of the design variables. In the second stage, the structural parameters are varied in order to minimize a structural weight objective function. The algorithm is applied to structural systems under earthquake excitations, for displacement, frequency and control force constraints.     

适用于结构时程分析法的输入地震波

本文对建筑结构抗震设计时程法所需的输入地震波提出一种基于规范反应谱的、与设防烈度、场地条件、设计近震或远震、结构自振特性有关的选择原则和方法。按远、近震和四类场地标定了反应谱、延性谱和积累损伤谱。通过对六幢不同高度的剪切和弯曲型结构模型的弹塑性分析,表明离差很小。建议在进行结构时程法分析时,按地震加速度反应谱特定的分布规律选择4条加速度记录作为输入计算。两个实际的例子表明按上述方法计算的结果与按底部剪力法计算的结果基本相符。     

Performance‐based design using structural optimization

A new methodology for seismic design is proposed based on structural optimization with performance‐based constraints. Performance‐based criteria are introduced for the seismic design of new buildings. These criteria are derived from the National Guidelines for Seismic Rehabilitation of Buildings (Reference [19], Federal Emergency Management Agency (FEMA), ‘NHERP Guidelines for seismic rehabilitation of buildings’, Report Nos 273 and 274, Washington, DC, 1997) for retrofitting existing structures. The proposed design methodology takes into account the non‐linear behaviour of the structure. The goal is to incorporate in the design the actual performance levels of the structure, i.e. how much reserve capacity the structure has in an earthquake of a given magnitude. The optimal design of the structure minimizes the structural cost subjected to performance constraints on plastic rotations of beams and columns, as well as behavioural constraints for reinforced concrete frames. Uncertainties in the structural period and in the earthquake excitation are taken into account using convex models. The optimization routine incorporates a non‐linear analysis program and the procedure is automated. The proposed methodology leads to a structural design for which the levels of reliability (performance levels) are assumed to be quantifiable. Furthermore, the entire behaviour of the structure well into the non‐linear range is investigated in the design process. Copyright © 2000 John Wiley & Sons, Ltd.     

H_∞ drift control of time-delayed seismic structures

In this paper,an optimal H∞ control algorithm was applied to the design of an active tendon system installed at the first story of a multi-story building to reduce its interstory drift due to earthquake excitations.To achieve optimal control performance and to guarantee the stability of the control system,an optimum strategy to select control parameters γ and α was developed.Analytical expressions of the upper and the lower bounds of γ and α were obtained for a single degree-of-freedom system with state fee...     

Peak earthquake response of structures under multi-component excitations

Accurate estimation of the peak seismic responses of structures is important in earthquake resistant design. The internal force distributions and the seismic responses of structures are quite complex, since ground motions are multi- directional. One key issue is the uncertainty of the incident angle between the directions of ground motion and the reference axes of the structure. Different assumed seismic incidences can result in different peak values within the scope of design spectrum analysis for a given structure and earthquake ground motion record combination. Using time history analysis to determine the maximum structural responses excited by a given earthquake record requires repetitive calculations to determine the critical incident angle. This paper presents a transformation approach for relatively accurate and rapid determination of the maximum peak responses of a linear structure subjected to three-dimensional excitations within all possible seismic incident angles. The responses can be deformations, internal forces, strains and so on. An irregular building structure model is established using SAP2000 program. Several typical earthquake records and an artifi cial white noise are applied to the structure model to illustrate the variation of the maximum structural responses for different incident angles. Numerical results show that for many structural parameters, the variation can be greater than 100%. This method can be directly applied to time history analysis of structures using existing computer software to determine the peak responses without carrying out the analyses for all possible incident angles. It can also be used to verify and/or modify aseismic designs by using response spectrum analysis.     

Analytical predictions of the seismic response of friction damped timber shear walls

A new concept for the earthquake resistant design of timber shear wall structures is proposed. By providing friction devices in the corners of the framing system of the shear wall, its earthquake resistance and damage control potential can be enhanced considerably. During severe earthquake excitations, the friction devices slip and a large portion of the seismic energy input is dissipated by friction rather than by inelastic deformation of the sheathing-to-framing connectors. A simple numerical model is developed and results of inelastic time-history dynamic analyses show the superior performance of the friction damped timber shear walls compared to conventional shear wall systems. The proposed friction devices act both as safety valves by limiting the inertia forces transmitted to the structure, and as structural dampers by dissipating a significant portion of the seismic energy input. The devices can be used in any configuration of the framing system to accommodate architectural or construction requirements. The damping system may also be conveniently incorporated in existing timber shear wall buildings to upgrade significantly their earthquake resistance.     

DISTURBANCE REJECTION CONTROL OF BRIDGE RESPONSE TO EARTHQUAKE EXCITATION

In this paper, a new disturbance rejection controller is used to improve the response of a bridge during the application of environmental excitations. The controller combines global linearization of a non-linear bridge model and robust controller design to achieve its objectives. The resulting controller is robust with respect to disturbances, modelling errors and controller implementation errors. The method is applied to the Aptos Creek bridge in Santa Cruz under excitation caused by El-Centro earthquake.     

Seismic retrofit of MRF buildings using decentralized semi‐active control for multi‐target performances

Numerous structures have been designed and built without taking earthquake ground motions or outdated seismic design codes into account. In order to improve the seismic performance of existing structures, many retrofit approaches based on performance‐based design have been developed. However, some of these approaches are inapplicable due to structural limitations or because they were developed with the assumption of single‐degree‐of‐freedom, which does not take higher modes into account. To overcome the limitations of these traditional methods, a multi‐performance‐based control design (MPBCD) methodology has been proposed by integrating a decentralized semi‐active control algorithm, magnetorheological dampers, and an advanced multi‐objective optimization method to provide various sets of retrofit control designs to satisfy multiple target performances under multiple seismic intensities without changing structural cross‐section sizes or material properties. This MPBCD method provides engineers with numerous sets of control designs (i.e., control device layouts with control design parameters) to help them select proper control designs to retrofit existing building structures and improve seismic performance. Copyright © 2016 John Wiley & Sons, Ltd.     

Optimal design of supplemental viscous dampers for irregular shear‐frames in the presence of yielding

A methodology for the optimal design of supplemental viscous dampers for regular as well as irregular yielding shear‐frames is presented. It addresses the problem of minimizing the added damping subject to a constraint on an energy‐based global damage index (GDI) for an ensemble of realistic ground motion records. The applicability of the methodology for irregular structures is achieved by choosing an appropriate GDI. For a particular choice of the parameters comprising the GDI, a design for the elastic behavior of the frame or equal damage for all stories is achieved. The use of a gradient‐based optimization algorithm for the solution of the optimization problem is enabled by first deriving an expression for the gradient of the constraint. The optimization process is started for one ‘active’ ground motion record which is efficiently selected from the given ensemble. If the resulting optimal design fails to satisfy the constraints for other records from the original ensemble, additional ground motions (loading conditions) are added one by one to the ‘active’ set until the optimum is reached. Two examples for the optimal designs of supplemental dampers are given: a 2‐story shear frame with varying strength distribution and a 10‐story shear frame. The 2‐story shear frame is designed for one given ground motion whereas the 10‐story frame is designed for an ensemble of twenty ground motions. Copyright © 2005 John Wiley & Sons, Ltd.     

我国7度设防等跨RC框架抗地震倒塌能力研究

我国建筑结构抗震设计主要采用基于小震下的构件承载力计算保证结构的抗震承载能力,配合抗震构造措施保证结构的变形能力,缺乏大震抗倒塌定量计算.而实际地震震害表明,即使是同类结构,其结构体系参数对其抗地震倒塌能力也有很大影响.为此,本文依据《建筑抗震设计规范》GB50011 - 2001,按照7度抗震设防设计了24个不同跨度...     

基于零阶和一阶优化算法的建筑结构抗震优化设计

针对第三水准“大震不倒”的抗震设防目标,提出一种建筑结构的抗震优化设计方法,依据“用相同的投资获最好的设计”的设计理念,建立了在强烈地震波的作用下,以建筑结构最大的层间相对位移最小化作为优化目标,同时满足体积约束的优化数学模型,并采用动力有限元分析模型和高效的显式动力分析方法进行结构分析获得最大的层间相对位移,采用零阶和一阶优化算法分别求解优化数学模型,在显式动力分析软件ANSYS／LS—DYNA的基础上进行二次开发,实现了一个三维框架结构的抗震优化设计。数值结果表明该方法能获得较高质量的解,经优化设计后建筑结构的抗震性能得到了很大的改善。     

Optimum design of structures against earthquake by wavelet neural network and filter banks

Optimum design of structures for earthquake is achieved by simulated annealing. To reduce the computational work, a fast wavelet transform is used by means of which the number of points in the earthquake record is decreased. The record is decomposed into two parts. One part contains the low frequency of the record, and the other contains the high frequency of the record. The low‐frequency content is the effective part, since most of the energy of the record is contained in this part of the record. Thus, the low‐frequency part of the record is used for dynamic analysis. Then, using a wavelet neural network, the dynamic responses of the structures are approximated. By such approximation, the dynamic analysis of the structure becomes unnecessary in the process of optimization. The wavelet neural networks have been employed as a general approximation tool for the time history dynamic analysis. A number of structures are designed for optimal weight and the results are compared to those corresponding to the exact dynamic analysis. Copyright © 2004 John Wiley & Sons, Ltd.     

高层建筑结构的抗震可靠度分析与优化设计

本文根据我们在文献２中给出的等效随机地震静力作用模型，紧密结合规范和利用我们在文献６中提出的结构体系可靠度分析的最弱失效模式法，提出了结构构件和体系“小震不坏”和“大震不倒”及结构体系在设计基准期内的抗震可靠度分析方法；重新校准了结构构件的目标可靠度指标；综合考虑结构造价和损失期望，提出了结构体系抗震目标可靠度的优化决策方法；分别给出了满足构件抗震目标可靠指标与同时满足构件和体系抗震目标可靠指标的     

基于纤维模型的空间网架支承体系的优化设计与分析

近年来,民用航空制造业的快速发展给大柱距空间网架结构带来新的契机。本文针对某大柱距厂房设计了无柱间支撑、柱间钢支撑和柱间消能支撑3种抗侧力结构体系。在此基础上,分别建立了3种结构体系的三维整体有限元模型,通过优化设计确立了钢支撑和消能支撑的具体设计参数,并进行了多遇地震作用下的弹性时程对比分析。最后,建立了结构弹塑性分析的纤维模型,对3种结构体系进行了罕遇地震作用下的弹塑性时程分析,对比研究了3种结构体系在大震作用下的倒塌机制。结果表明：采用纤维模型能够较为精确地进行结构的弹塑性时程分析;相较于不加柱间支撑结构体系,柱间钢支撑和柱间消能支撑结构体系在多遇地震作用下的结构层间位移分别衰减约32%和64%,在罕遇地震作用下的结构层间位移分别衰减约12%和46%,且均具有更好的倒塌机制。本文可供大柱距空间结构的设计与分析参考和借鉴。     

Shaking table tests and numerical analyses of an RC coupled wall structure with replaceable coupling beams

The replaceable coupling beam (RCB) is an innovative structural component developed to increase the seismic resilience of reinforced concrete (RC) shear wall structures. In this study, two 1/5‐scale 5‐story 3‐dimensional RC shear wall structures—one with conventional RC coupling beams and the other with RCBs—were designed, constructed, and tested on a shaking table. The failure pattern, dynamic properties, and structural responses, including the acceleration, displacement, story force, and strain responses, of the 2 structures are compared under earthquake excitations. The test results demonstrate that the seismic performance of the structure with RCBs was improved when RCBs were working compared with the structure with conventional RC coupling beams. In addition, the replaceable devices suffering the severe damage during an earthquake can be conveniently replaced after the earthquake. However, after the sudden failure of RCBs during the severe earthquakes, the inter‐story drift and floor acceleration of the structure with RCBs became larger. The design and manufacture quality of RCBs should be improved to avoid the sudden failure. Then, numerical models for the test structures were established using the commercial software PERFORM‐3D. Numerical simulations of the tests were conducted. The simulation results correspond well with the experimental results, thus verifying the accuracy of the numerical models. The RC shear wall structure installed with RCBs can be applied as a new type of earthquake‐resilient structure in engineering practice.