含时滞空间网格结构振动的动态矩阵预测控制
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摘要
研究含时滞的空间结构振动控制问题。阐明和分析了空间结构的时滞及其产生原因。基于动态矩阵预测控制方法,构造了预测模型和优化策略,进而提出对含时滞空间结构振动控制的改进方法和控制参数选择的一般原则,可解决模型参数和外部干扰不确定的含时滞被控系统的振动控制。以球面施威德勒网壳结构为算例,针对含时滞和不含时滞的空间结构系统进行了振动控制数值计算和比较;研究表明,动态矩阵预测控制方法适用于含时滞的空间结构振动控制,而准确预测系统的未来输出、选择恰当的采样周期等是实施振动控制的关键因素。
The presented paper focused on the vibration control of the spatial reticulated structure with time delay.The composition of time delay was investigated.Based on the dynamic predictive control method,the predictive control model and optimization strategy were constituted,and an improved method for the vibration control of the spatial reticulated structure with time delay was put forward.Finally,some principles for choosing control parameters were discussed.Moreover,taking Schwedler reticulated shell structure with and without time delay as an example,a series of computations and comparisons of the vibration control strategy were carried out.It is shown that the dynamic matrix predictive control method is suitable for the vibration control of spatial reticulated structures with time delay,and the prediction for aftertime outputs and the determination of sampling periods play a key role in the vibration control of the structural system with time delay.
The presented paper focused on the vibration control of the spatial reticulated structure with time delay.The composition of time delay was investigated.Based on the dynamic predictive control method,the predictive control model and optimization strategy were constituted,and an improved method for the vibration control of the spatial reticulated structure with time delay was put forward.Finally,some principles for choosing control parameters were discussed.Moreover,taking Schwedler reticulated shell structure with and without time delay as an example,a series of computations and comparisons of the vibration control strategy were carried out.It is shown that the dynamic matrix predictive control method is suitable for the vibration control of spatial reticulated structures with time delay,and the prediction for aftertime outputs and the determination of sampling periods play a key role in the vibration control of the structural system with time delay.
引文
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[2]Zhu W Q,Luo M,Dong L.Semi-active control of wind excited building structures using MR/ER dampers[J].Probabilistic Engineering Mechanics,2004,19(3):279―285.
[3]叶继红,陈月明,沈世钊.TMD减震系统在网壳结构中的应用[J].哈尔滨建筑大学学报,2000,33(5):10―14.Ye Jihong,Chen Yueming,Shen Shizhao.The present situation of seismic vibration control of reticulated shell structures using TMD system[J].Journal of Harbin University of Civil Engineering and Architecture,2000,33(5):10―14.(in Chinese)
[4]瞿伟廉,徐幼麟.ER/MR智能阻尼器对空间网壳结构地震反应的半主动控制[J].地震工程与工程振动,2001,21(4):24―31.Qu Weilian,Xu Youlin.Semi-active control for earthquake responses of reticulated shells with EI/MR smart dampers[J].Earthquake Engineering and Engineering Vibration,2001,21(4):24―31.(in Chinese)
[5]周云,吴志远,梁兴文.磁流变阻尼器对高层建筑风振反应的半主动控制[J].地震工程与工程振动,2001,21(4):159―162.Zhou Yun,Wu Zhiyuan,Liang Xingwen.Semi-active control for wind-induced vibration of high-rise structures using MR dampers[J].Earthquake Engineering and Engineering Vibrations,2001,21(4):159―162.(in Chinese)
[6]李忠献,林伟,丁阳.多维地震激励下空间结构MR阻尼器半主动控制[J].天津大学学报,2007,40(5):512―518.Li Zhongxian,Lin Wei,Ding Yang.Semi-active control on spatial structures using MR damper[J].Journal of Tianjin University,2007,40(5):512―518.(in Chinese)
[7]Rodellar J,Barbat A H,Martin-Sanchez J M.Predictive control of structures[J].Journal of Engineering Mechanics,ASCE,1987,113:797―812.
[8]席裕庚.预测控制[M].北京:国防工业出版社,1993.Xi Yugeng.Predictive Control[M].Beijing:Defense Industry Press,1993.(in Chinese)
[9]王彩霞.时滞系统的动态矩阵控制算法中参数的选取[J].西北民族大学学报(自然科学版),2006,27(63):16―21.Wang Caixia.Parameter selection in dynamic matrix control of time delay system[J].Journl of Northwest University for Nationalities(Natural Science),2006,27(63):16―21.(in Chinese)
[10]Ates S,Dumanoglu A A,Bayraktar A.Stochastic response of seismically isolated highway bridges with friction pendulum systems to spatially varying earthquake ground motions[J].Engineering Structures,2005,27(13):1843―1858.
[11]Agrawals A K,Yang J N.Effect of fixed delay on stability and performance of actively controlled civil engineering structures[J].Earthquake Engineering and Structural Dynamics,1997,26:1169―1185.
[12]唐少容,周岱,黄真.磁流变液阻尼器对空间网壳结构的风振抑制[J].振动与冲击,2006,25(6):25―29.Tang Shaorong,Zhou Dai,Huang Zhen.The wind-induced vibration control of spatial reticulated shell structures with MR dampers[J].Journal of Vibration and Shock,2006,25(6):25―29.(in Chinese)
[13]阳光,周岱,黄真.空间网格结构风振抑制的阻尼器位置与数量寻优[J].上海交通大学学报,2007,41(6):955―959.Yang Guang,Zhou Dai,Huang Zhen.The quantity optimization and optimal placement of energy absorbing dampers for wind-induced vibration reduction of space reticulated structures[J].Journal of Shanghai Jiaotong University,2007,41(6):955―959.(in Chinese)
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