基于模态控制的巨-子型有控结构的风振主动控制研究
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摘要
基于模态控制,提出了抑制新型巨-子型有控结构风振响应的主动控制方法,推导并建立了其控制方程,计算了控制全部模态和部分模态时的结构反应及控制力,并与无控状态及采用LQR算法时进行了对比分析。结果表明该新型结构采用主动模态控制后能够有效地减小结构的位移和加速度响应,因此实际设计控制器时,可以对巨-子型有控结构的响应进行模态控制,从而可以有效地控制结构响应并使结构分析的自由度数目减少。
Active control of a new mega-sub controlled structure(MSCS) under random wind loads based on modal control is proposed.A method and its dynamic equations for assembling parameter matrixes of the MSCS under random wind loads are presented.The responses and control force of the MSCS with full modal control and part modal control is calculated,which is further compared with the corresponding status without control and using linear quadratic regulator(LQR) algorithm.The result indicates that the new structure employing active modal control does significantly reduce the vibration displacement and acceleration response of the MSCS.It is concluded that the modals of the MSCS can be controlled by designing the controller,thus the structure response can be controlled effectively and the degrees of freedom can be reduced in structural analysis.
Active control of a new mega-sub controlled structure(MSCS) under random wind loads based on modal control is proposed.A method and its dynamic equations for assembling parameter matrixes of the MSCS under random wind loads are presented.The responses and control force of the MSCS with full modal control and part modal control is calculated,which is further compared with the corresponding status without control and using linear quadratic regulator(LQR) algorithm.The result indicates that the new structure employing active modal control does significantly reduce the vibration displacement and acceleration response of the MSCS.It is concluded that the modals of the MSCS can be controlled by designing the controller,thus the structure response can be controlled effectively and the degrees of freedom can be reduced in structural analysis.
引文
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[2]Winson C,Feng M Q.Vibration control of super tall buildingssubjected to wind loads[J].International Journal of Non-linear Mechanics,1997,32(4):657~668
[3]Feng M Q,Akira M.Vibration control of tall buildings usingmega-sub configuration[J].Journal of Engineering Mechan-ics,1995,121(10):1082~1087
[4]Zhang X A,et al.Controlling characteristic passive mega-subcontrolled frame subjected to random wind loads[J].Journal ofEngineering Mechanics,2005,131(10):1046~1055
[5]张洵安等.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
[6]秦相军,张洵安,鲁杰.子结构质量对MSCS的控制效果分析[J].低温建筑技术,2007,120(6):58~60
[7]连业达,张洵安,毕金凤,王朝霞.地震作用下新结构体系中阻尼器研究[J].工业建筑,2006,36(2):16~19
[8]徐亚兰,陈建军.基于模态空间H2范数的压电柔性梁结构动力学模型降阶[J].机械科学与技术,2005,24(8):960~962
[9]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
[10]Muscolino G.Dynamic response of multiply connected primary-secondary systems[J].Earthquake Engineering and Struc-ture Dynamics,1990,(19):205~216
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