毗邻建筑考虑局部场地效应时的LQG控制
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摘要
本文基于虚拟激励法和留数定理推导出毗邻建筑考虑局部场地效应时在平稳随机地震激励下的LQG控制问题的闭合解。利用此闭合解进行场地土参数研究表明,场地土参数对位移和加速度响应的影响是不同的,甚至是相反的。因此对于给定的LQG控制加权阵Q和R,场地土的卓越频率和阻尼比变化对减震效果有显著影响,应予以重视。
Based on the pseudo excitation method and the residue theorem,this paper provides the closed-form solutions of LQG control for adjacent buildings under stationary random seismic excitations when considering local site effect.By using the closed form solution,parametric studies show that the effect of parameters of local site on the displacement and acceleration responses are different,or even opposite.For given weighting matrices Q and R,it is shown that the variations of predominant frequency and damping of the site soil may have significant effects on the effectiveness of reducing seismic responses and should not be neglected.
Based on the pseudo excitation method and the residue theorem,this paper provides the closed-form solutions of LQG control for adjacent buildings under stationary random seismic excitations when considering local site effect.By using the closed form solution,parametric studies show that the effect of parameters of local site on the displacement and acceleration responses are different,or even opposite.For given weighting matrices Q and R,it is shown that the variations of predominant frequency and damping of the site soil may have significant effects on the effectiveness of reducing seismic responses and should not be neglected.
引文
[1]薄景山,李秀领,李山有.场地条件对地震动影响研究的若干进展[J].世界地震工程,2003,19(2):11-15.
[2]贺传松,周正华,李山有.场地组合土对输入地震动的影响[J].东北地震研究,1999,15(1):53-58.
[3]王建华,杨进良,田会礼.场地地震响应分析的若干问题[J].天津大学学报,1998,31(6):724-729.
[4]李春祥,刘艳霞,王肇民.基于修正的Clough-Penzien地震动模型时MTMD的动力特性[J].应用力学学报,2003,20(1):5-11.
[5]徐幼麟,张文首.毗邻建筑地震响应LQG控制问题的闭合解[J].地震工程与工程振动,2001,21(4):40-46.
[6]Luco J E,Wong HL.Control of the seismic response of adjacent structures[C]//Proceedings of the First World Conference on Structural Con-trol,Los Angeles,California,1994,2:21-30.
[7]Xu Y L,He Q,Ko J M.Dynamic response of damper connected adjacent buildings under earthquake excitation[J].Engineering Structures,1999,21(2):135?48.
[8]Ying Z G,Ni Y Q,Ko J M.Stochastic optimal coupling-control of adjacent building structures[J].Computers and Structures,2003,81(30-31):2775-2787.
[9]Lin J H,Zhang W S,Li J J.Structural response to arbitrarily coherent stationary random excitations[J].Computers and Structures,1994,50(5):629-633.
[10]郭继武.建筑抗震设计[M].北京:中国建筑工业出版社,2006:18-28.
[2]贺传松,周正华,李山有.场地组合土对输入地震动的影响[J].东北地震研究,1999,15(1):53-58.
[3]王建华,杨进良,田会礼.场地地震响应分析的若干问题[J].天津大学学报,1998,31(6):724-729.
[4]李春祥,刘艳霞,王肇民.基于修正的Clough-Penzien地震动模型时MTMD的动力特性[J].应用力学学报,2003,20(1):5-11.
[5]徐幼麟,张文首.毗邻建筑地震响应LQG控制问题的闭合解[J].地震工程与工程振动,2001,21(4):40-46.
[6]Luco J E,Wong HL.Control of the seismic response of adjacent structures[C]//Proceedings of the First World Conference on Structural Con-trol,Los Angeles,California,1994,2:21-30.
[7]Xu Y L,He Q,Ko J M.Dynamic response of damper connected adjacent buildings under earthquake excitation[J].Engineering Structures,1999,21(2):135?48.
[8]Ying Z G,Ni Y Q,Ko J M.Stochastic optimal coupling-control of adjacent building structures[J].Computers and Structures,2003,81(30-31):2775-2787.
[9]Lin J H,Zhang W S,Li J J.Structural response to arbitrarily coherent stationary random excitations[J].Computers and Structures,1994,50(5):629-633.
[10]郭继武.建筑抗震设计[M].北京:中国建筑工业出版社,2006:18-28.
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