粘滞阻尼减震结构最优极点配置与随机振动分析

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (11) : 114-118.

论文

粘滞阻尼减震结构最优极点配置与随机振动分析

杜永峰1,3,李慧1,3 ，李春锋1,2

作者信息 +

The optimal pole assignment and random vibration analysis of structures with supplemental viscous damping

DU Yong-feng 1, 3,LI Hui 1, 3, LI Chun-feng1, 2

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文章历史 +

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，结果表明算法与分析的有效性与正确性。

Abstract

Viscous dampers can only improve the damping of the structure without increasing the structural stiffness, stiffness matrix coefficients corresponding to the displacement components is zero in the state feedback gain matrix, because the LQR algorithm cannot be achieved , we introduce the optimal pole assignment algorithm of structures with supplemental viscous damping based on document 1. First, the mathematical model of the structures with supplemental viscous damping is established under the smaller earthquake and larger earthquake, the unified state space expression is established, the fact that pole-zero configuration influenced the system performance is analyzed by using the transfer function theoretical in the case of the external disturbance. Secondly, the pole-zero configuration algorithms is given in detail based on structures with supplemental viscous damping. Finally, pseudo excitation method of random vibration and the given pole assignment algorithm is used to analyses random response of the given engineering project, the results show that the proposed algorithm and analysis is validity and correctness.

导出引用

杜永峰;李慧;;李春锋;. 粘滞阻尼减震结构最优极点配置与随机振动分析[J]. 振动与冲击, 2014, 33(11): 114-118

DU Yong-feng;;LI Hui;;LI Chun-feng; . The optimal pole assignment and random vibration analysis of structures with supplemental viscous damping[J]. Journal of Vibration and Shock, 2014, 33(11): 114-118