随机激励下考虑SSI效应的TMD -结构控制参数优化设计
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摘要
TMD是高层建筑结构抗震和抗风等减震控制的主要方法,结构体系频率和TMD参数的适配性对控制效果起决定性作用。现有规范中忽略土对上部结的构的影响,使得TMD-结构振动控制与实际工程情况存在脱节。本文以结构的最大层间位移为控制指标,将优化算法与概率密度理论方法结合,以十层混凝土框架TMD-结构参数优化为例,研究了SSI对TMD结构控制效果的影响,并实现了随机激励下TMD建筑结构参数的优化设计。为TMD建筑结构最优化设计提供了新的思路和方法。
TMDs are main devices of seismic control and wind resistance control of high-rise buildings.The compatibility of a structure's frequencies and TMD parameters plays a decisive role in the control effect.In the existing codes, the influence of soil on the upper structure's frequencies is neglected,so that the vibration control of TMD-structure is out of line with the actual engineering situation.In this paper,the maximum inter-storey displacement is taken as the control index, and the optimization algorithm and the theory of probability density method combining with ten layers of TMD concrete frame structure parameters optimization are used to study soil-structure interaction(SSI) effects on the TMD structure of the control effect,and the optimal design parameters of the TMD structure under random excitation.This work provides a reference for the optimal design of TMD building structures.
TMDs are main devices of seismic control and wind resistance control of high-rise buildings.The compatibility of a structure's frequencies and TMD parameters plays a decisive role in the control effect.In the existing codes, the influence of soil on the upper structure's frequencies is neglected,so that the vibration control of TMD-structure is out of line with the actual engineering situation.In this paper,the maximum inter-storey displacement is taken as the control index, and the optimization algorithm and the theory of probability density method combining with ten layers of TMD concrete frame structure parameters optimization are used to study soil-structure interaction(SSI) effects on the TMD structure of the control effect,and the optimal design parameters of the TMD structure under random excitation.This work provides a reference for the optimal design of TMD building structures.
引文
[1] Lutes L D,Sarkani S.Random Vibration:Analysis of Structural and Mechanical Systems[M].Amsterdam:Elsevier,2004.
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[3] Sun J Q.Stochastic Dynamics and Control[M].Elsevier,2006.
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[5] Shinozuka M.Monte Carlo solution of structural dyna-mics[J].Computers & Structures,1972,2(5-6):855-874.
[6] Kleiber M,Hien T D.The Stochastic Finite Element Method:Basic Perturbation Technique and Computer Implementation [M].Chichester:Wiley,1992.
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[13] 孙永,秦云,王宪杰,等.基于随机概率密度演化的结构-TMD参数优化[J].上海理工大学学报,2018,(1):97-102.(SUN Yong,QIN Yun,WANG Xian-jie.Structure -TMD parameter optimization based on stochastic probability density evolution [J].Journal of University of Shanghai for Science and Technology,2018,(1):97-102.(in Chinese))
[14] 王磊,谭平,赵卿卿,等.随机结构-TMD优化设计与概率密度演化研究[J].振动工程学报,2015(2):285-290.(WANG Lei,TAN Ping,ZHAO Qing-qing.Optimal design and probability density evolution analysis of tuned mass damper for stochastic structures [J].Journal of Vibration Engineering,2015(2):285-290.(in Chinese))
[15] 杨宏,邹立华,黄丽彬,等.土-结构相互作用对结构主动控制的影响研究[J].振动与冲击,2009,28(3):98-101.(YANG Hong,ZOU Li-hua,HUANG Li-bin,et al.Structural active control considering soil structure dynamic interaction[J].Journal of Vibration and Shock,2009,28(3):98-101.(in Chinese))
[16] 刘惠珊,张在明.地震区的场地与地基基础[M].北京:中国建筑工业出版社,1994.(LIU Hui-shan,ZHANG Zai-ming.Site and Foundation in Earthquake Region[M].Beijing:China Architecture & Building Press,1994.(in Chinese))
[17] 陈建兵,刘章军,李杰.非线性随机动力系统的概率密度演化分析[J].计算力学学报,2009,26(3):312-317.(CHEN Jian-bing,LIU Zhang-jun,LI Jie.Probability density evolution analysis of nonlinear dynamical systems[J].Chinese Journal of Computational Mechanics,2009,26(3):312-317.(in Chinese))
[18] 陈建兵,李杰.结构随机响应概率密度演化分析的数论选点法[J].力学学报,2006,38(1):134-140.(CHEN Jian-bing,LI Jie.Strategy of selecting points via numer theoretical method in probability density evolution analysis of stochastic response of structures[J].Chinese Journal of Theoretical and Applied Mechanics,2006,38(1):134-140.(in Chinese))
[2] 欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998.(OU Jin-ping,WANG Guang-yuan.Random Vibration of Structures[M].Beijing:Higher Education Press,1998.(in Chinese))
[3] Sun J Q.Stochastic Dynamics and Control[M].Elsevier,2006.
[4] 朱位秋.随机振动[M].北京:科学出版社,1992.(ZHU Wei-qiu.Random Vibration[M].Beijing:Science Press,1992.(in Chinese))
[5] Shinozuka M.Monte Carlo solution of structural dyna-mics[J].Computers & Structures,1972,2(5-6):855-874.
[6] Kleiber M,Hien T D.The Stochastic Finite Element Method:Basic Perturbation Technique and Computer Implementation [M].Chichester:Wiley,1992.
[7] 李杰.随机结构系统-分析与建模[M].北京:科学出版社,1996.(LI Jie.Stochastic Structural System:Ana-lysis and Modeling[M].Beijing:Science Press,1996.(in Chinese))
[8] 李杰.随机动力系统的物理逼近[J].中国科技论文在线,2006,1(2):95-104.(LI Jie.A physical approach to stochastic dynamical systems [J].Sciencepaper Online,2006,1(2):95-104.(in Chinese))
[9] 李杰,陈建兵.随机动力系统中的概率密度演化方程及其研究进展[J].力学进展,2010,40(2):170-188.(LI Jie,CHEN Jian-bing.Advances in the research on probability density evolution equations of stochastic dynamical systems [J].Advances in Mechanics,2010,40(2):170-188.(in Chinese))
[10] 陈建兵,李杰.结构随机地震反应与可靠度的概率密度演化分析研究进展 [J].工程力学,2014,31(4):1-10.(CHEN Jian-bing,LI Jie.Probability density evolution method for stochastic seismic response and reliability of structures [J].Engineering Mechanics,2014,31(4):1-10.(in Chinese))
[11] 陈建兵.随机结构非线性反应概率密度演化分析[D].同济大学,2002.(CHEN Jian-bing.Probabity Density Evolution of Stochastic Structural Nonlinear Response [D].Tongji University,2002.(in Chinese))
[12] 谭平,卜国雄,刘红军,等.带TMD结构的随机地震响应分析的新方法[J].北京理工大学学报,2010,30(4):390-394.(TAN Ping,BU Guo -xiong,LIU Hong-jun,et al.A new method for the random earthquake response analysis of the TMD -structure [J].Transactions of Beijing Institute of Technology,2010,30(4):390-394.(in Chinese))
[13] 孙永,秦云,王宪杰,等.基于随机概率密度演化的结构-TMD参数优化[J].上海理工大学学报,2018,(1):97-102.(SUN Yong,QIN Yun,WANG Xian-jie.Structure -TMD parameter optimization based on stochastic probability density evolution [J].Journal of University of Shanghai for Science and Technology,2018,(1):97-102.(in Chinese))
[14] 王磊,谭平,赵卿卿,等.随机结构-TMD优化设计与概率密度演化研究[J].振动工程学报,2015(2):285-290.(WANG Lei,TAN Ping,ZHAO Qing-qing.Optimal design and probability density evolution analysis of tuned mass damper for stochastic structures [J].Journal of Vibration Engineering,2015(2):285-290.(in Chinese))
[15] 杨宏,邹立华,黄丽彬,等.土-结构相互作用对结构主动控制的影响研究[J].振动与冲击,2009,28(3):98-101.(YANG Hong,ZOU Li-hua,HUANG Li-bin,et al.Structural active control considering soil structure dynamic interaction[J].Journal of Vibration and Shock,2009,28(3):98-101.(in Chinese))
[16] 刘惠珊,张在明.地震区的场地与地基基础[M].北京:中国建筑工业出版社,1994.(LIU Hui-shan,ZHANG Zai-ming.Site and Foundation in Earthquake Region[M].Beijing:China Architecture & Building Press,1994.(in Chinese))
[17] 陈建兵,刘章军,李杰.非线性随机动力系统的概率密度演化分析[J].计算力学学报,2009,26(3):312-317.(CHEN Jian-bing,LIU Zhang-jun,LI Jie.Probability density evolution analysis of nonlinear dynamical systems[J].Chinese Journal of Computational Mechanics,2009,26(3):312-317.(in Chinese))
[18] 陈建兵,李杰.结构随机响应概率密度演化分析的数论选点法[J].力学学报,2006,38(1):134-140.(CHEN Jian-bing,LI Jie.Strategy of selecting points via numer theoretical method in probability density evolution analysis of stochastic response of structures[J].Chinese Journal of Theoretical and Applied Mechanics,2006,38(1):134-140.(in Chinese))