基于LQR算法的巨-子型有控结构的主动控制研究
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摘要
基于线性二次型(LQR)性能指标极小的最优控制设计,对巨-子型有控结构在随机风载激励下的主动控制响应特性进行了时程分析研究,推导并建立其控制方程,讨论了主动控制下控制参数的变化和时滞对结构响应的控制效果、控制力及动力特性的影响规律。研究表明:该新型结构采用主动控制后能获得很好的控制效果,权矩阵的选取对结构的响应非常重要,时滞会降低结构的主动控制效果。
Mega-sub controlled structure(MSCS),an isolated substructure used in mega-frame building,has attracted more and more attention of designers for its prominent controlling effectiveness in mega-frame building.An active control,for mega-sub controlled structure subjected to random along-wind loads is investigated based on LQR algorithm.Dynamic equation and method for assembling parameter matrixes for the mega-sub controlled structure under random wind loads are presented.A change in control parameter and time lag that influences the response controlling effectiveness,control force and dynamic characteristic of the MSCS under active control are discussed.The result indicates that the new structure employing active control can offer an effective means of controlling and the controlling responses of this building are sensitive to weight matrix.The controlling effectiveness under active control will be decreased when time lag is considered.
Mega-sub controlled structure(MSCS),an isolated substructure used in mega-frame building,has attracted more and more attention of designers for its prominent controlling effectiveness in mega-frame building.An active control,for mega-sub controlled structure subjected to random along-wind loads is investigated based on LQR algorithm.Dynamic equation and method for assembling parameter matrixes for the mega-sub controlled structure under random wind loads are presented.A change in control parameter and time lag that influences the response controlling effectiveness,control force and dynamic characteristic of the MSCS under active control are discussed.The result indicates that the new structure employing active control can offer an effective means of controlling and the controlling responses of this building are sensitive to weight matrix.The controlling effectiveness under active control will be decreased when time lag is considered.
引文
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[2]Feng Maria Q,Mita Akira.Vibration Control of Tall Buildings UsingMega-sub Configuration[J].Journal of Engineering Mechanics,1995,121(10):1082-1087.
[3]Zhang Xunan,Zhang Jianlin,Wang Dong,et al.ControllingCharacteristic Passive Mega-Sub Controlled Frame Subjected to RandomWind Loads[J].Journal of Engineering Mechanics,2005,131(10):1046-1055.
[4]张洵安,张建霖,姜节胜.子结构刚度对巨型框架减振结构体系的动态特性影响[J].西北工业大学学报,2004,22(1):59-63.
[5]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,2003:80-86.
[6]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,2007,26(2):79-83.
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