摄动结构中基于H_∞范数的调液阻尼器减震优化设计  

H_∞ Norm Based Optimal Design of Vibration Control for Structural Perturbation Using Tuned Liquid Damper

作　　者：霍林生[1] 沈文赫[1] 李宏男[1] 

机构地区：[1]大连理工大学建设工程学部,辽宁大连116024

出　　处：《西南交通大学学报》2013年第5期798-802,共5页Journal of Southwest Jiaotong University

基　　金：国家自然科学基金创新群体研究项目(51121005);中央高校基本科研业务费专项资金资助项目(DUT11ZD117)

摘　　要：为了减小建筑结构在地震作用下的振动,对调液柱型阻尼器的质量比、频率比和阻尼比进行优化设计.以5层框架建筑结构为例,考虑结构参数的摄动,将优化目标设为地震动到结构动力响应传递函数的H∞范数,得到调液柱型阻尼器最优质量比、频率比和阻尼比的数值分别为0.022 801、0.909 070和0.098 655.采用此最优值,对控制体系的鲁棒性进行验证.结果表明:在频域和时域内,控制系统在地震动作用下对结构参数摄动均具有良好的鲁棒性;当系统的质量、阻尼和刚度的最大摄动量分别达到30%时,系统仍能保持7%以上的减震水平.In order to reduce the vibration of building structures excited by earthquakes,the mass ratio,frequency ratio,and damping ratio of a tuned liquid column damper （TLCD） are optimized.A five-story reinforced concrete structure building is selected for the numerical example with the consideration of parameter perturbation.The optimization objective is set to be the H∞ norm of the transfer function from the ground motion to the structural responses.The acquired optimal mass ratio,frequency ratio,and damping ratio of TLCD are 0.022 801,0.909 070,and 0.098 655,respectively.With these optimal values,the robustness of the control system is verified.The results show that the control system has good robustness for structural parameter perturbation under seismic action in both frequency and time domain.The seismic reduction ratio is still kept above 7％ even if the maximum system perturbation of mass,damping,and stiffness reach 30％.

关 键 词：H∞范数 调液阻尼器 参数摄动 优化设计 地震响应 

分 类 号：TU352[建筑科学—结构工程]