摘要
就多模态密集频率结构的减震问题,建立分布式TMD(tuned mass dampers)对地震激励下结构多模态振动减震的力学模型进行研究,并将其表达为闭环静力反馈控制的形式。我们研究具有较高优化效率的基于H2性能的梯度法,实现对多模态调谐减震的TMD参数的整体优化。以构建的理想三自由度密频结构为例,定义无量纲响应指标,以扫频激励的方式求得具有相对普适性的优化控制权重,进而采用基于H2性能的梯度法优化得到分布式TMD的最优参数;针对具有不同谱特性的地震动激励进行减震分析,并与经典TMD方法对比,结果表明基于H2性能的梯度法优化所得的TMD针对多模态密频结构将具有更好的减震性能。
To investigate seismic response control for structure with closely spaced modal frequencies, the mechani- cal model of a combined system of the structure with distributed tuned mass dampers （TMDs） was established, which represents a closed loop system with a decentralized static output feedback control action. A method based on H2 performance criterion and gradient-based optimization was investigated to optimize the parameters of the TMDs. An ideal structural model with three degree of freedoms and closely spaced frequencies was taken as a case study. Nondimentional response index was defined, and a control weighting was obtained by using sweep exitation. Opti- mal parameters of the distributed TMDs were achieved by the H2 performance criterion. Seismic response control for the strcuture was simulated according to excitation seismic ground motions with different spacetrum characteristics. Comparing with the classic method, results show high efficiency of the distributed TMDs optimized by the H2 per- formance criterion for the seismic control.
出处
《地震工程与工程振动》
CSCD
北大核心
2015年第5期23-28,共6页
Earthquake Engineering and Engineering Dynamics
基金
国家自然科学基金重大研究计划(91215302)
中央高校基本科研业务费专项资金(2014JBM085)
关键词
减震
密频结构
TMD
H2性能
seismic control
structure with closely spaced frequencies
tuned mass damper
H2 performance
