变截面高耸结构振动瞬时主动最优控制研究  

Research on instantaneous active optimal control for vibration of tall and slender building structure

作　　者：黄炳达 葛楠 姜畔 王永 Huang Bing-da;Ge Nan;Jiang Pan;Wang Yong(North China University of Science and Technology,Tangshan 063210;Hebei University of Water Resources and Electric Engineering,Cangzhou 061001,China)

机构地区：[1]华北理工大学建筑工程学院,河北唐山063009 [2]河北水利电力学院,河北沧州061001

出　　处：《工程抗震与加固改造》2021年第6期25-31,11,共8页Earthquake Resistant Engineering and Retrofitting

摘　　要：为分析瞬时最优控制算法对高耸建筑结构的减震效果,建立了高耸结构瞬时主动最优控制的分析模型,并利用Matlab语言编制了求解软件。根据计算数据验证其减震效果,通过对高耸结构模型的分析,提出了一种能同时控制高耸结构前n阶振型的瞬时最优Q、R矩阵形式。结果表明:瞬时主动最优控制对高耸结构具有明显的减震效果,采用的矩阵形式能有效控制前3阶振型。并且可以通过调整权重参数达到目标减振效果。当Q、R矩阵中α=1E8,β=0.1-0.9时,具有满意的减振效果。所需的最大控制力减震效果及作动器位置有关,减震效率越高,作动器位置越接近结构顶部,则作动器最大控制力输出越大。系统时滞使减震效果劣化。减震效率越高,作动器控制力越大时,控制系统对时滞的影响越敏感。In order to analyze the damping effect of instantaneous optimal control algorithm on high-rise building structures, the analysis model of instantaneous optimal control of high-rise building structures is established, and the solution software is programmed by Matlab language. According to the calculated data, the damping effect is verified, and through the analysis of the high-rise structure model, an instantaneous optimal Q and R matrix form that can simultaneously control the first-order vibration mode of the high-rise structure is proposed. The results show that the instantaneous active optimal control has obvious damping effect on the high-rise structure and the matrix form can effectively control the first three order vibration modes.And the target vibration reduction effect can be achieved by adjusting the weight parameters. It is recognized that when α=1 E8,β=0.1-0.9, the algorithm would exhibit satisfied seismic mitigation efficiency. The required force amplitude for an actuator is determined by the target efficiency and its installed height. A higher efficiency and a taller installed position will correspond the larger amplitude of the output. The existing of time lag in system will deteriorate its seismic mitigation efficiency. A high efficiency and large controlling force will make the system more sensitive to time lag.

关 键 词：状态变量 瞬时最优控制 高耸结构 龙格—库塔方法 Rayleigh-Ritz法 

分 类 号：TU973[建筑科学—结构工程]