SEMI-ACTIVE TUNED MASS DAMPERS FOR SEISMIC PROTECTION OF CIVIL STRUCTURES

A semi-active tuned mass damper (TMD) which is capable of adjusting initial displacement and damping is applied to seismic protection of structures. Control algorithms are derived in closed forms using perturbation analysis on modal properties of the single degree of freedom (SDOF) structure/TMD system. Because perturbation solutions are given in a relatively simple form, the control algorithms are developed in a physically intuitive manner. In the first half of the paper, the control algorithms are introduced using numerical simulations of the impulse response. Then the algorithms are applied to seismic protection of civil structures using the strategy of multiple releasing and capturing of TMDs. The control strategy for seismic control is summarized in a flow chart. Numerical studies with the El Centro earthquake record show that the proposed semi-active method has higher performance than conventional passive TMDs.     

SEISMIC TESTING OF A BUILDING STRUCTURE WITH A SEMI-ACTIVE FLUID DAMPER CONTROL SYSTEM

This paper describes shaking table tests of a multi-storey scale-model building structure subjected to seismic excitation and controlled by a semi-active fluid damper control system. The semi-active dampers were installed in the lateral bracing of the structure and the mechanical properties of the dampers were modified according to control algorithms which utilized the measured response of the structure. A simplified time-delay compensation method was developed to account for delays within the control system. The results of the shaking table tests are presented and interpreted and analytical predictions are shown to compare reasonably well with the experimental results. © 1997 John Wiley & Sons, Ltd.     

CONTROL OF BUILDING VIBRATIONS WITH ACTIVE/PASSIVE DEVICES

Two linear optimal control laws and a non-linear control strategy are critically evaluated. They are implemented in a ten-story frame structure. For the linear control laws, both an active bracing system and a hybrid mass damper are considered as control devices, while the non-linear control law can be implemented with either an active or semi-active bracing system. The active and semi-active systems are compared to a passive bracing system with linear viscous dampers and to a hybrid system consisting of a passive bracing and a hybrid mass damper. Dimensionless indices based on the reduction of the maximum story drift and on the maximum control force required are introduced to compare the efficiencies of different control strategies. While the linear optimal control laws exhibit an excellent performance, the non-linear control law, in addition to its simplicity and robustness, appears to be more efficient when the allowable control force is within a certain limit. Furthermore, one attractive feature of the latter is that it can be implemented with semi-active devices to minimize the power requirement.     

结构地震反应的非全状态控制

本文提出了地震下结构芳动控制的一种非全状态控制算法和控制器位置与算法参数统一优化的概念及其统一优化的方法，文中对某试验用模型结构，用红典线最优控制算法和本文提出的控制算法进行了主动控制仿真分析，同时用本文提出的统一优化方法对控制器位置和算法参数进行了优化，结果表明，本文提出的统一优化概念和方法合理可行，控制算法可以取得良好的控制效果。     

高层建筑地震反应全反馈主动TMD控制理论研究

本文应用最近提出的全反馈主动控制法对高层建筑地震反应进行了全反馈主动ＴＭＤ（调谐质量阻尼器）控制的理论研究，考虑了实时控制过程中控制力的时间滞后效应，并通过数值模拟分析了不同的反馈形式以及不同的时间滞后量对主动ＴＭＤ控制效果的影响。最后得出结论：对高层建筑地震反应实施全反馈主动ＴＭＤ控制，既能更有效地降低结构的位移反应和速度反应，又能大幅度地降低结构的加速度反应；且当控制力时间滞后量较大时，对主动     

SEISMIC RESPONSE OF SLIDING STRUCTURES TO BIDIRECTIONAL EARTHQUAKE EXCITATION

Seismic response of a one-storey structure with sliding support to bidirectional (i.e. two horizontal components) earthquake ground motion is investigated. Frictional forces, which are mobilized at the sliding support, are assumed to have ideal Coulomb-friction characteristics. Coupling effects due to circular interaction between the frictional forces are incorporated in the governing equations of motion. Effects of bidirectional interaction of frictional forces on the response are investigated by comparing the response to two-component excitation with the corresponding response produced by the application of single-component excitations in each direction independently. It is observed that the response of the sliding structure is influenced significantly by the bidirectional interaction of frictional forces. Further, it is shown that the design sliding displacement may be underestimated if the bidirectional interaction of frictional forces is neglected and the sliding structures are designed merely on the basis of single-component excitation.     

行波效应对大跨刚构连续桥梁半主动控制影响分析

给出了地震动行波输入下大跨刚构连续桥梁的半主动控制分析方法,在桥梁支座部位设置磁流变阻尼器,对一座五跨刚构连续桥梁进行了不同视波速行波输入下的半主动控制计算分析. 结果表明,行波效应对该大跨刚构连续桥梁的无控制地震反应、半主动控制地震反应和减震效果均有显著影响,对主梁和桥墩均会在较低视波速地震行波输入时表现出不利影响,并且使半主动控制减震效果明显降低. 因此,在确定半主动控制系统的参数时应考虑地震行波效应的影响以确保控震效果.      

CONVEX MODEL FOR SEISMIC DESIGN OF STRUCTURES—II: DESIGN OF CONVENTIONAL AND ACTIVE STRUCTURES

The optimal design of the members of conventional structures or structures equipped with active bracing systems, known as active structures, is presented for uncertain excitations. Three approaches are used for obtaining the optimal structural design: (1) the time-history analysis of an actual earthquake record (AR), (2) the global energy-bound convex model adjusted with an excitation-specific reduction factor (RGEB), and (3) the global energy-bound convex model adjusted with an average reduction factor (ARGEB) for a set of excitations with common characteristics. The optimal structures obtained using the RGEB and ARGEB convex models have different sizes for their conventional members from the designs based on a time-history analysis of the actual earthquake (AR). The optimal design of the structure is carried out using a modified annealing algorithm. The advantage of using convex models to perform the optimization is that they represent a more general excitation than a single earthquake record. In addition, the RGEB and ARGEB convex models require considerably less computational effort since the constraints of the optimization become time-independent. A comparison between optimal designs of structures with conventional members only, and active structures indicates that the latter are more efficient by combining the conventional and active members.     

LINEAR QUADRATIC REGULATOR FOR STRUCTURE UNDER ON-LINE PREDICTED FUTURE SEISMIC EXCITATION

A predictive-adaptive (PA) control algorithm has been developed for a structure under a seismic excitation. This algorithm analyses information of an observed seismic excitation, estimates future structural responses and determines the control force for the structure, based on the linear quadratic regulator. That is, at a given moment t_k: (1) seismic excitation information is converted to an autoregressive model, which forms the state equation for the excitation; (2) the identification model is combined with the structural model to build a state equation in an augmented space; (3) the weighted quadratic norm of the state vector and the future control force is formed as a cost function for estimating future responses; (4) the Ricatti equation is solved to find the optimum value of the cost function; and (5) the optimum gain matrix is obtained, and the control force is determined. The PA algorithm is not restricted to one type of control system, but can be applied to both an active driver system and an active tendon system. Its effectiveness is confirmed by numerical experiments for 1DOF and 3DOF structural models under sine and seismic excitations.     

OPTIMAL POLYNOMIAL CONTROL FOR SEISMICALLY EXCITED NON-LINEAR AND HYSTERETIC STRUCTURES

In this paper, we present an optimal polynomial controller for reducing the peak response quantities of seismically excited non-linear or hysteretic building systems. A performance index, that is quadratic in control and polynomial of any order in non-linear states, is considered. The performance index is minimized based on the Hamilton–Jacobi–Bellman equation using a polynomial function of non-linear states, which satisfies all the properties of a Lyapunov function. The resulting optimal controller is a summation of polynomials in non-linear states, i.e. linear, cubic, quintic, etc. Gain matrices for different parts of the controller are determined from Riccati and Lyapunov matrix equations. Numerical simulation results indicate that the percentage of reduction for the selected peak response quantity increases with the increase of the earthquake intensity. Such load adaptive properties are very desirable, since the intensity of the earthquake ground acceleration is stochastic in nature. The proposed optimal polynomial controller is an effective and viable control method for non-linear or hysteretic civil engineering structures. It is an addition to available control methods in the literature.     

调谐质量阻尼器系统控制结构地震反应的若干问题

本文研究调谐质量阻尼器（ＴｕｎｅｄＭａｓｓＤａｍｐｅｒ，以下简称ＴＭＤ）用作抗震结构的防御体系时的一些问题，包括ＴＭＤ在结构上的最佳位置，ＴＭＤ频率的最佳值，ＴＭＤ对非调谐结构振型的影响和ＴＭＤ参数的灵敏度分析，这些问题的解决将为研究设置ＴＭＤ的结构的抗震设计方法提供理论依据。     

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.     

MODULATED HOMOGENEOUS FRICTION: A SEMI-ACTIVE DAMPING STRATEGY

A control strategy for semi-active friction devices leading to efficient hysteretic dissipaters is proposed. The control algorithm makes the contact force between the sliding surfaces of the damper proportional to the absolute value of the prior local peak of the damper deformation. This control logic leads to a non-linear force–deformation relation that satisfies homogeneity of degree one; this means that, like in a linear viscoelastic damping model, when the deformation is scaled by a constant, the force results are scaled by the same constant. The closed-loop system shows rectangular hysteresis loops which enclose an area proportional to the square of the deformation of the damper. Some characteristics of the dynamic response of structures incorporating this type of semi-active damper are investigated. It is demonstrated that in the case of single-degree-of-freedom models, the period of vibration and decay ratio are independent of the amplitude of vibration. In the case of multi-degree-of-freedom models with this type of nonlinearity, the free-vibration response can exhibit natural modes of vibration. A linearization method is proposed and modelling tools for the delay associated with actuator dynamics and for the flexibility of the brace connecting the damper to the structure are presented. © 1997 by John Wiley & Sons, Ltd.     

共和7.0级地震的大地构造与活动构造环境

共和地震的发震构造是人们普遍关注的重要问题。通过对共和地震的地质构造背景分析和地表断裂形变特征对比,确定共和地震的发震断裂为柴北缘断裂带,并对该断裂带的形成和发震、深部地球物理场特征做了深入的研究和探讨。     

高层建筑地震反应最优多重TLD控制

本文以坑层建筑地震反应进行了最优多重ＴＬＤ（ＭＴＬＤ）ｓ控制研究。文中阐述了ＴＬＤ系统的工作原理笔ＭＴＬＤｓ系统的参数；建立了多层结构－ＴＭＬＤｓ系统耦联体系的运动方程；分析了ＭＴＬＤｓ系统的参数对在谐波作用下多层结构动力反应的影响以及各参数之间的关系。     

TIME-DELAY EFFECT AND ITS SOLUTION FOR OPTIMAL OUTPUT FEEDBACK CONTROL OF STRUCTURES

This paper investigates the stability of MDOF optimal direct output feedback control systems through analysis of system modal properties after the application of time-delayed control force. Explicit formula and numerical solution are obtained to determine the maximum delay time and critical delay time which cause system instability and control ineffectiveness, respectively. The results indicate that direct velocity feedback has longer maximum and critical delay times than state feedback. The feedback of non-collocated measurements will reduce maximum delay time. The ratios of maximum and critical delay times to structural natural period decrease as the active damping increases. For a given damped structure, a critical control weighting factor exists. When a larger control weighting factor is used, the control system will remain stable even with longer delay time. A formula is also developed to determine the critical control weighting factor so as to make the stability of MDOF control systems dominated by lower modes. Hence, the maximum delay time and critical delay time can be significantly lengthened by selecting an appropriate control weighting factor and/or adding higher modal dampings.     

结构可变阻尼半主动控制

本文阐述了结构半主动控制的概念，并介绍了国内外有关结构半主动控制的研究状态，阐述了几种有关结构半主动控制的算法，包括基于经典最优控制的控制律及算法，基于变结构系统理论的滑动模太控制算法和非线性奇次系统的ｂａｎｇ－ｂａｎｇ控制算法。重点阐述了变结构系统理论和滑移面的确定及控制律的设计。     

城市活动断裂探测和地震危险性评价问题

城市范围内直下型活动断裂突发错动产生的直下型大地震 ,直接威胁城市和人民生命财产的安全。城市活动断裂探测和地震危险性评价是为城市减灾服务的一项系统工程 ,也是活动构造研究面临的一项新的工作。这一工作的核心是要解决城市范围内的断裂定位、断裂最新活动、断裂的深部背景、断裂的地震危险性和地面错动危险性及减灾对策。为了更好地理解这一问题 ,作者用“有没有、活不活、深不深 ,震不震 ,错不错 ,好对策”这 6句话来表示其核心内容。文中对这些问题作了具体的说明     

伸臂式结构地震剪力图和弯矩图的理论包络线

本文以人工工振型作为理论工具、推演出伸臂式结构地震剪力地震弯矩的主、次上界的简练公式。不难理解,上界地震剪力图和弯矩图就分别相当于无数地震剪力图的弯矩图的包络线。文中还推演出主、次上界与等效静力解之间的一个十分简明的理论关系。     

沂沭活断层分段特征及地震趋势的预测

沂沭活断层以莒南—汤头一线为界可分成南北两大段。其中,北段以蠕滑为主,南段则表现为强烈的粘滑错动。另外,在南段内还存在着一个次一级的段落。文中详细分析了各段的断层滑动方式及地震活动的特点,并对沂沭断裂带今后的地震趋势作了预测。