高层建筑风激励振动控制Benchmark问题研究
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摘要
从历届的国际结构控制大会中可以看出,高层建筑风激励振动控制问题一直是结构工程师致力讨论和研究的重点课题。本文通过对风激励高层建筑模型进行自由度缩减和降阶处理,得到大大简化的评估模型。运用不同的控制方法和控制策略对基准问题高层建筑在脉动风荷载作用下的位移、速度和加速度响应量进行分析,提出基于随机分析的均方根响应和基于确定性分析的峰值响应两种性能指标。对控制策略施加设计约束条件,并合理设计采样控制器以比较无控结构、TMD控制结构和LQG控制结构在相同风激励作用下的均方根响应和峰值响应。最后评价和比较各种不同控制策略的性能指标和优化效果,以达到最优控制的目的。
The problem for vibration control of wind-excited tall buildings has been a key issue that structural engineers devote to discussing and researching,which can be easily figured out from all the previous International Conferences on Structural Control.This paper derives a greatly simplified evaluation model through DOF condensation and order reduction for wind-excited tall buildings.It makes analysis the response quantities of displacement,velocity and acceleration for the benchmark problem of tall buildings under pulse wind excitations by using different control methods and control strategies,puts forward two different kinds of performance criteria: RMS responses based on stochastic analysis and peak responses based on deterministic analysis.It imposes constraints on the proposed control strategies,adequately designs sample controller for the comparison of RMS responses and peak responses of uncontrolled structure,TMD controlled structure and LQG controlled structure subject to the same wind excitations.In conclusion,some evaluations and comparisons are also made among performance criteria and optimization effects of various control strategies to obtain optimal control in this paper.
The problem for vibration control of wind-excited tall buildings has been a key issue that structural engineers devote to discussing and researching,which can be easily figured out from all the previous International Conferences on Structural Control.This paper derives a greatly simplified evaluation model through DOF condensation and order reduction for wind-excited tall buildings.It makes analysis the response quantities of displacement,velocity and acceleration for the benchmark problem of tall buildings under pulse wind excitations by using different control methods and control strategies,puts forward two different kinds of performance criteria: RMS responses based on stochastic analysis and peak responses based on deterministic analysis.It imposes constraints on the proposed control strategies,adequately designs sample controller for the comparison of RMS responses and peak responses of uncontrolled structure,TMD controlled structure and LQG controlled structure subject to the same wind excitations.In conclusion,some evaluations and comparisons are also made among performance criteria and optimization effects of various control strategies to obtain optimal control in this paper.
引文
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[2]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,2003:501-502.
[3]R.克拉夫,J.彭津著.王光远等译校[M].结构动力学.北京:高等教育出版社,2006:230-231.
[4]钱学森著.戴汝为,何善培译[M].工程控制论.北京:科学出版社,1958.
[5]朱位秋.非线性随机动力学与控制:Hamilton理论体系框架[M].北京:科学出版社,2003.
[6]刘叔军等.MATLAB7.0控制系统应用与实例[M].北京:机械工业出版社,2005.9:81-82.
[7]李爱群.工程结构减振控制[M].北京:机械工业出版社,2007:52-54.
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