双向偏心结构扭转耦联地震反应的序列最优控制
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摘要
本文分析了不对称建筑结构平移-扭转耦联振动的动力特性及地震作用下的响应;根据地震动输入结构的过程,推导出一种更为一般的最优控制算法,所获得的控制力表达式同时包括地震响应和地震激励。通过对一非规则四层框架结构的扭转耦联地震反应控制分析表明,该算法不仅能有效地控制结构的平移地震反应,而且更有效地抑制结构的扭转耦联地震反应。
This paper analyzes the torsional coupled dynamic characteristics and seismic response of asymmetrical buildings and presents a generalized algorithm for optimal control of structures subjected to earthquake excitation according to the process of the structure input earthquake.The expression of control force is obtained by this algorithm,which concludes both the effect of structural response and the seismic excitation.By the control of torsional coupled seismic response for a four-story asymmetrical frame structure,the numerical results show that the proposed control algorithm can effectively control the lateral seismic response of structures and reduce the torsional coupled seismic response of bidirectionally eccentric structures more effectively.
This paper analyzes the torsional coupled dynamic characteristics and seismic response of asymmetrical buildings and presents a generalized algorithm for optimal control of structures subjected to earthquake excitation according to the process of the structure input earthquake.The expression of control force is obtained by this algorithm,which concludes both the effect of structural response and the seismic excitation.By the control of torsional coupled seismic response for a four-story asymmetrical frame structure,the numerical results show that the proposed control algorithm can effectively control the lateral seismic response of structures and reduce the torsional coupled seismic response of bidirectionally eccentric structures more effectively.
引文
[1]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.
[2]李宏男,阎石.中国结构控制的研究与应用[J].地震工程与工程振动,1999,19(1):107-111.
[3]Yoshida O,Dyke S J.Seismic control of a nonlinear benchmark building using smart dampers[J].Journal of Engineering Mechanics,ASCE,2004,130(4):386-392.
[4]霍林生,李宏男,孙丽.多维地震作用下非对称结构利用TLCD减震控制研究[J].地震工程与工程振动,2001,21(4):147-153.
[5]李春祥,韩传峰.非对称结构扭转振动多重调谐质量阻尼器(MTMD)控制的最优位置[J].地震工程与工程振动,2003,23(6):149-155.
[6]Kan C L,Chopra AK,Effects of torsional coupling on eartrhquake forces in buildings[J].Journal of the Structural Division,ASCE.1977,103:805-820.
[7]Yoshida O,Dyke S J,Giscosa LM,et al.Torsional response control of asymmetric buildings using smart dampers[C]//Proceedings of the 15thASCE Engineering Mechanics Conference,New York,NY,2002.
[8]Tezcan S S,Alhan C.Parametric analysis of irregular structures under seismic loading according to the ney Turkish earthquake code[J].Engi-neering Structures,2001,23(6):600-609.
[9]Sing MP,Singh S,Moreschi L M.Tuned mass dampers for response control of torsional buildings[J].Eerthquake Engineering and StructuralDynamics,2002,31(4):749-769.
[10]Chi Y,Sain MK,Pham KD,et al.Structural control paradigms for an asymmetric buildings[C]//Proceedings of the 8thASCE Special Confer-ence on Probabilistic Mechanics and Structural Reliability,PMC,2000,153-162.
[11]Gavin H,Alhan C.Control of torsionally asymmetric stuctures.[C]//Proceedings of the American Control Conference,Anchorage,AK,2002.
[12]杜永峰,李慧,赵国藩.地震作用下结构振动最优控制的一种一般算法[J].大连理工大学学报,2004,44(6):864-869.
[2]李宏男,阎石.中国结构控制的研究与应用[J].地震工程与工程振动,1999,19(1):107-111.
[3]Yoshida O,Dyke S J.Seismic control of a nonlinear benchmark building using smart dampers[J].Journal of Engineering Mechanics,ASCE,2004,130(4):386-392.
[4]霍林生,李宏男,孙丽.多维地震作用下非对称结构利用TLCD减震控制研究[J].地震工程与工程振动,2001,21(4):147-153.
[5]李春祥,韩传峰.非对称结构扭转振动多重调谐质量阻尼器(MTMD)控制的最优位置[J].地震工程与工程振动,2003,23(6):149-155.
[6]Kan C L,Chopra AK,Effects of torsional coupling on eartrhquake forces in buildings[J].Journal of the Structural Division,ASCE.1977,103:805-820.
[7]Yoshida O,Dyke S J,Giscosa LM,et al.Torsional response control of asymmetric buildings using smart dampers[C]//Proceedings of the 15thASCE Engineering Mechanics Conference,New York,NY,2002.
[8]Tezcan S S,Alhan C.Parametric analysis of irregular structures under seismic loading according to the ney Turkish earthquake code[J].Engi-neering Structures,2001,23(6):600-609.
[9]Sing MP,Singh S,Moreschi L M.Tuned mass dampers for response control of torsional buildings[J].Eerthquake Engineering and StructuralDynamics,2002,31(4):749-769.
[10]Chi Y,Sain MK,Pham KD,et al.Structural control paradigms for an asymmetric buildings[C]//Proceedings of the 8thASCE Special Confer-ence on Probabilistic Mechanics and Structural Reliability,PMC,2000,153-162.
[11]Gavin H,Alhan C.Control of torsionally asymmetric stuctures.[C]//Proceedings of the American Control Conference,Anchorage,AK,2002.
[12]杜永峰,李慧,赵国藩.地震作用下结构振动最优控制的一种一般算法[J].大连理工大学学报,2004,44(6):864-869.
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