电磁惯性质量阻尼器对斜拉索的减振性能分析

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (23) : 151-159.

论文

谢静，袁波，郑勇

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Vibration reduction effect of EIMD on stay cable

XIE Jing, YUAN Bo, ZHENG Yong

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文章历史 +

摘要

为了验证电磁惯性质量阻尼器（EIMD）对斜拉索自由振动的减振效果，基于D’Alembert原理建立EIMD与斜拉索共同作用的非线性自由振动方程。在误差允许范围内忽略抗弯刚度，拉索自身纵向惯性力和阻尼力，以及外部动态荷载的情况下，研究平面内横向振动、平面外振动的拉索动位移。通过标准伽辽金(Galerkin)法简化振动方程，搭建Simulink动力仿真模型对拉索振动方程进行数值模拟计算，得出斜拉索跨中平面内外位移-时间曲线。通过对比拉索自由振动位移可以得出：安装EIMD后，斜拉索平面内振动位移相较于原索振动降低73.3%，平面外振动位移相较于原索振动降低72.5%。建立并求解斜拉索-EIMD线性自由振动方程，分析拉索垂度对阻尼器控制效果的影响程度。
关键词：电磁惯性质量阻尼器；拉索自由振动；减振；电能

Abstract

In order to verify the damping effect of Electromagnetic Inertial Mass Dampers (EIMD) on free vibration of stay cables, a nonlinear free vibration equation of EIMD and stay cables is established based on the D’Alembert principle. within the error allowable range,Under the condition of ignoring bending stiffness, longitudinal inertia force and damping force of cable itself, and external dynamic load , the dynamic displacement of cable under lateral vibration in-plane and vibration out-of-plane is studied.The vibration equation is simplified by the standard Galerkin method, and the Simulink dynamic simulation model is built to perform numerical simulation calculation on the cable vibration equation, and the in- and out-of-plane displacement-time curve of the stay cable is obtained.By comparing the free vibration displacement of the stay cable, it can be concluded that after installing the EIMD, compared with the original cable vibration,the in-plane vibration displacement of the stay cable is reduced by 73.3% , and the out-of-plane vibration displacement is reduced by 72.5% compared with the original cable vibration.Establish and solve the cable-EIMD linear free vibration equation, and analyze the influence of cable sag on the control effect of the damper.
Key words: Electromagnetic Inertial Mass Damper; Free vibration of cable ; Damping;Electricity

导出引用

谢静，袁波，郑勇. 电磁惯性质量阻尼器对斜拉索的减振性能分析[J]. 振动与冲击, 2022, 41(23): 151-159

XIE Jing, YUAN Bo, ZHENG Yong. Vibration reduction effect of EIMD on stay cable[J]. Journal of Vibration and Shock, 2022, 41(23): 151-159

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