变时滞空间网格结构振动问题的改进动态矩阵预测控制
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摘要
研究风荷载激励下考虑变时滞空间网格结构的振动控制。在分析结构变时滞产生原因的基础上,基于动态矩阵预测控制算法,构造预测模型和优化策略,提出对变时滞空间网格结构振动控制的改进方法和控制参数选取的基本原则,指出准确预测系统的未来输出、选择恰当的采样周期是实施振动控制的关键因素。以柱面网壳结构为例并选取适当参数,针对变时滞有控与无控的结构振动系统进行风振控制数值分析与比较。研究结果表明:运用该方法对变时滞空间网格结构的振动控制,可获得满意的控制效果。
This paper was focused on the wind vibration control of Spatial Latticed Structure(SLS) with variable time delay.The composition of variable time delay in SLS was investigated.Based on the dynamic predictive control strategy,the new control model and optimization strategy were constituted,an improved method for the wind vibration control of SLS with variable time delay was put forward,and some principles for choosing control parameters were discussed in details.It is emphasized that the prediction for aftertime outputs and the choice of sampling periods play a key role in the vibration control of SLS with variable time delay.Furthermore,choosing the single layer latticed barrel vaults as an example,a series of computation and comparison of the vibration control with variable time delay or without time delay were carried out.The research result showed that the dynamic matrix predictive control method is effective to the vibration reduction of SLS with variable time delay.
This paper was focused on the wind vibration control of Spatial Latticed Structure(SLS) with variable time delay.The composition of variable time delay in SLS was investigated.Based on the dynamic predictive control strategy,the new control model and optimization strategy were constituted,an improved method for the wind vibration control of SLS with variable time delay was put forward,and some principles for choosing control parameters were discussed in details.It is emphasized that the prediction for aftertime outputs and the choice of sampling periods play a key role in the vibration control of SLS with variable time delay.Furthermore,choosing the single layer latticed barrel vaults as an example,a series of computation and comparison of the vibration control with variable time delay or without time delay were carried out.The research result showed that the dynamic matrix predictive control method is effective to the vibration reduction of SLS with variable time delay.
引文
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[15]Grigoriu M.A spectral representation based model for Monte Carlo simulation[J].Probabilistic Engineering Mechanics,2005,15:365―370.
[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]Rodellar J,Barbat A H,Martin-Sanchez J M.Predictive control of structures[J].Journal of Engineering Mechanics,ASCE,1987,113:797―812.
[6]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)
[7]Gang Mei,Ahsan Kareem.Model predictive control of structures under earthquakes using acceleration feedback[J].Journal of Engineering Mechanics,2002,128(5):574―585.
[8]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.
[9]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.
[10]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)
[11]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)
[12]帅虹,黄真,周岱.组合算法用于空间结构振动抑制的阻尼器优化布置[J].振动与冲击,2007,27(3):17―21.Shuai Hong,Huang Zhen,Zhou Dai.Mixed algorithm for placement and quantity optimization of dampers in vibration reduction of spatial reticulated structures[J].Journal of Vibration and Shock,2007,27(3):17―21.(in Chinese)
[13]李华锋,马骏,周岱,朱忠义,董石麟.空间结构风场风载的数值模拟[J].上海交通大学学报,2006,40(12):2112―2117.Li Huafeng,Ma Jun,Zhou Dai,Zhu Zhongyi,Dong Shilin.The numerical simulation for the wind fields and wind loads around spatial structures[J].Journal of Shanghai Jiaotong University,2006,40(12):2112―2117.(in Chinese)
[14]Zhou D,Ma J,Wu Z H.The simulation and characteristic study of wind velocity for long-span structures[J].Journal of Shanghai Jiaotong University(Science,English Version),2005,9(4):41―47.
[15]Grigoriu M.A spectral representation based model for Monte Carlo simulation[J].Probabilistic Engineering Mechanics,2005,15:365―370.
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