基于预测算法的结构振动半主动控制
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摘要
根据离散时间状态下的Newmark时域积分方法预测结构响应值,通过在一定范围内寻找适当的控制力参数使目标函数最优,达到对结构振动响应的预测控制。对地震波作用下配置磁流变阻尼器的的两层框架结构进行数值分析,讨论控制策略中有关参数变化对振动抑制效果的影响。分析结果表明基于Newmark-β预测算法的结构振动响应半主动控制优于基于全局最优解的经典反馈控制系统,控制效果明显、鲁棒性好。
Based on Newmark-β method, a structural vibration response is predicted. Through finding the appropriate control force parameters within certain ranges to optimize the objective function, the predictive control of the structural vibration is achieved. At the same time, the numerical simulation analysis of a two-storey frame structure with magnetorheological (MR) dampers under earthquake records is carried out, and the parameter influence on structural vibration reduction is discussed. The results demonstrate that the semi-active control based on Newmark-β predictive algorithm is better than the classical control strategy based on full-state feedback control and has remarkable advantages of structural vibration reduction and control robustness.
Based on Newmark-β method, a structural vibration response is predicted. Through finding the appropriate control force parameters within certain ranges to optimize the objective function, the predictive control of the structural vibration is achieved. At the same time, the numerical simulation analysis of a two-storey frame structure with magnetorheological (MR) dampers under earthquake records is carried out, and the parameter influence on structural vibration reduction is discussed. The results demonstrate that the semi-active control based on Newmark-β predictive algorithm is better than the classical control strategy based on full-state feedback control and has remarkable advantages of structural vibration reduction and control robustness.
引文
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[12]张微敬,田石柱,欧进萍.模型结构的磁流变阻尼减振控制试验研究[J].工程力学2002,23(10):125—131.
[2]唐少容,周岱,黄真,等.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—28,34.
[3]阳光,周岱,黄真.耗能阻尼器杆件在空间网格结构风振抑制中的位置与数量寻优[J].上海交通大学学报.
[4]Yi F,Dyke S J,Caicedo J M,Carlson J D.Experimental verification of multiinput seismic control strategies for smartdampers[J].J.Engrg.Mech.,ASCE,2001,127:1152—1164.
[5]Jansen L M,Dyke S J.Semiactive control strategies for mr dampers:Comparative study[J].J.Engrg.Mech.,ASCE,2000,126:795—803.
[6]周云,吴志远,邓雪松.高层建筑磁流变阻尼器风振半主动控制系统的优化[J].振动与冲击,2003,22(1):1—6.
[7]汪建晓,孟光.磁流变液阻尼器用于振动控制的理论及实验研究[J].振动与冲击,2001,20(2):39—46.
[8]隋莉莉,王刚,欧进萍.基于加速度反馈的结构地震反应半主动MR阻尼控制试验[J].地震工程与工程振动,2002,22(6):89—95.
[9]王勖成.有限单元法[M].北京:清华大学出版社,2003.
[10]Gang Mei,Ahsan Kareem.Model predictive control of struc-tures under earthquakes using acceleration feedback[J].Journal of Engineering Mechanics,2002,128(5):574—585.
[11]欧进萍.结构振动控制—主动、半主动和智能控制[M].北京:科学出版社,2003.
[12]张微敬,田石柱,欧进萍.模型结构的磁流变阻尼减振控制试验研究[J].工程力学2002,23(10):125—131.
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