粘滞阻尼减震结构最优极点配置与随机振动分析

发布时间：2018-02-14 03:12

本文关键词： 结构减震控制粘滞阻尼最优极点配置随机振动分析　出处：《振动与冲击》2014年11期 　论文类型：期刊论文

【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。
[Abstract]:The viscous damper can only increase the damping of the structure without increasing the stiffness of the structure, and make the stiffness matrix coefficient of the state feedback gain matrix corresponding to the displacement component zero. In view of the fact that the LQR algorithm cannot realize this problem, On the basis of reference [1], an optimal pole assignment algorithm for viscous damped structures is proposed. Firstly, a mathematical model of viscous damping structures under large and small earthquakes is established, and a unified state space representation is established. The effect of zero pole placement on system performance is analyzed by using transfer function theory in consideration of external disturbances. Secondly, the zero pole assignment algorithm based on viscous damping damping structure is introduced in detail. The random response of a given engineering example is analyzed by combining the virtual excitation method of random vibration with the given pole assignment algorithm. The results show the validity and correctness of the algorithm and analysis in this paper.
【作者单位】：兰州理工大学防震减灾研究所;西部土木工程防灾减灾教育部工程研究中心;河西学院土木工程学院;
【基金】：国家自然科学基金项目(50978130)
【分类号】：TU352.11

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