粘滞阻尼减震结构最优极点配置与随机振动分析  

Optimal pole disposal and random vibration analysis of structures with supplemental viscous damping

作　　者：杜永峰[1,2] 李春锋[1,3] 李慧[1,2] 

机构地区：[1]兰州理工大学防震减灾研究所,兰州730050 [2]西部土木工程防灾减灾教育部工程研究中心,兰州730050 [3]河西学院土木工程学院,甘肃张掖734000

出　　处：《振动与冲击》2014年第11期114-118,135,共6页Journal of Vibration and Shock

基　　金：国家自然科学基金项目(50978130)

摘　　要：粘滞阻尼器可看作仅能提高结构的阻尼而不增加结构刚度,使状态反馈增益矩阵中相应于位移分量的刚度矩阵系数为零,针对LQR算法对此无法实现的事实,在文献[1]的基础上提出一种基于粘滞阻尼减震结构的最优极点配置算法。首先,建立了大、小震作用下粘滞阻尼结构的数学模型,确立了统一的状态空间表达形式,在考虑外界扰动的情形下采用传递函数理论分析了零极点配置对系统性能的影响;其次,详细介绍了基于粘滞阻尼减震结构的零极点配置算法;最后,将随机振动的虚拟激励法与给定极点配置算法结合对给定工程算例进行了随机响应进行了分析,结果表明本文算法与分析的有效性与正确性。Viscous dampers can only improve the damping of a structure and can not increase its structural stiffness.LQR algorithm can not make stiffness matrix coefficients corresponding to displacement components in a state feedback gain matrix be zero.An optimal pole disposal algorithm of structures with supplemental viscous damping based on the reference [1] was presented here.Firstly,the mathematical model of a structure with supplemental viscous damping was established under the smaller earthquake and larger earthquake,the unified state space expressions were established.The effects of pole-zero disposal on the system performance were analyzed by using the transfer function theory under external disturbances.Secondly,the pole-zero dsiposal algorithms were introduced in detail based on a structure with supplemental viscous damping.Finally,the pseudo excitation method of random vibration and the proposed pole disposal algorithm were combined to analyze random response of a given engineering example,the results showed that the proposed algorithm and the analysis are effective and correct.

关 键 词：结构减震控制 粘滞阻尼 最优极点配置 随机振动分析 

分 类 号：TU375.4[建筑科学—结构工程]