基于耦合模态控制算法对空间结构主动控制的试验研究
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摘要
模态空间控制方法是将系统方程转化到模态坐标下得到解耦的以模态坐标表示的方程组,根据一定的控制方法得到模态控制力从而实现了实时控制。本文通过对一个三层桁架结构进行了主动控制试验,介绍了耦合模态控制理论及其实现算法,阐述了压电主元杆件的工作原理,根据Riccati方程得到了主元杆件的最优布置。采用五点滑动平均平滑法进行了频谱分析,分析结果表明智能结构通过有效的主动控制可以对相应的模态响应进行有效的抑制。并使得模态阻尼系数得到不同程度的提高。
When the system equation is transformed under the mode frame of reference,the system of equations is coupled and shown by the mode frame of reference.It is known as the method of a modal space control.Real-time control is achieved because of mode control force according to the control algorithm.The active control experiment is operated for the three layers truss space structure in this paper.Meanwhile the theory of a coupled mode control and a control algorithm are introduced,and the operating principle is stated.The optimal layout of the piezoelectric derive bar is obtained according to Riccati equation.After processing and analyzing the experimental data by using the five-point moving average smoothing method,the result shows that the efficiently active control can have greatly inhibitive effects and the corresponding modal damping co-efficiency can be improved in different degrees.
When the system equation is transformed under the mode frame of reference,the system of equations is coupled and shown by the mode frame of reference.It is known as the method of a modal space control.Real-time control is achieved because of mode control force according to the control algorithm.The active control experiment is operated for the three layers truss space structure in this paper.Meanwhile the theory of a coupled mode control and a control algorithm are introduced,and the operating principle is stated.The optimal layout of the piezoelectric derive bar is obtained according to Riccati equation.After processing and analyzing the experimental data by using the five-point moving average smoothing method,the result shows that the efficiently active control can have greatly inhibitive effects and the corresponding modal damping co-efficiency can be improved in different degrees.
引文
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[2]胡卫兵,王骏涛.压电摩擦阻尼隔震结构地震响应及控制分析[J].振动与冲击,2007,(2):79-83.
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[4]杜永峰.一种严密的结构最优控制极值条件及算法实现[J].工程力学,2006,(11):1-8.
[5]Spencer B F Jr,Nagarajaiah S.State of the art ofstructural control[J].Journal of Structural Engineer-ing,ASCE,2003,129(7):845-856.
[6]Cho S W,Kim B W,Jung H J.Implementation ofmodal control for seismically excited structures usingmagnetorheological dampers[J].Journal of Engineer-ing Mechanics,2005,131(2):177-184.
[7]Ramallo J C,Johnson E A,Spencer Jr B F,et al.Smart base isolation systems[J].Journal of Engineer-ing Mechanics,ASCE,2002,128(10):1088-1099.
[8]Agrawal A K,Xu Z,He W L.Ground motion pulsebased active control of a linear base-isolated bench-mark building[J].Journal Structural Control andHealth Monitoring,2005,13(2-3):792-808.
[9]马格雷伯.MATLAB原理与工程应用[M].高会生译.北京:电子工业出版社,2006.
[2]胡卫兵,王骏涛.压电摩擦阻尼隔震结构地震响应及控制分析[J].振动与冲击,2007,(2):79-83.
[3]杜永峰.滞变智能隔震结构的序列最优控制算法[J].计算力学学报,2007,(1):57-63.
[4]杜永峰.一种严密的结构最优控制极值条件及算法实现[J].工程力学,2006,(11):1-8.
[5]Spencer B F Jr,Nagarajaiah S.State of the art ofstructural control[J].Journal of Structural Engineer-ing,ASCE,2003,129(7):845-856.
[6]Cho S W,Kim B W,Jung H J.Implementation ofmodal control for seismically excited structures usingmagnetorheological dampers[J].Journal of Engineer-ing Mechanics,2005,131(2):177-184.
[7]Ramallo J C,Johnson E A,Spencer Jr B F,et al.Smart base isolation systems[J].Journal of Engineer-ing Mechanics,ASCE,2002,128(10):1088-1099.
[8]Agrawal A K,Xu Z,He W L.Ground motion pulsebased active control of a linear base-isolated bench-mark building[J].Journal Structural Control andHealth Monitoring,2005,13(2-3):792-808.
[9]马格雷伯.MATLAB原理与工程应用[M].高会生译.北京:电子工业出版社,2006.
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