悬浮隧道锚索黏弹性阻尼器的最优阻尼系数

摘要

Taking the system that consists of a tether and a visco-elastic damper as research object, the vibration equation of tether and visco-elastic damper was set up considering tether sag effect. By means of Galerkin method, the partial differential equation was transformed into a set of ordinary ones. The maximum damping ratios and corresponding optimal damper coefficients were obtained after complex eigenvalue analysis. The effects of tether inclination and sag on its maximum damping ratio were researched. The results show that the corresponding optimal damper coefficients are different when different modes reach the maximum damping ratios. The mode order increases, and the corresponding optimal damper coefficient decreases. The maximum damping ratio of first in-plane mode is smaller than those of others due to the existence of tether sag. Inclination and sag of tether merely affect the maximum damping ratio of first in-plane mode.%以锚索和黏弹性阻尼器组成的系统为研究对象，建立锚索-黏弹性阻尼器的振动方程；通过伽辽金法得到系统的振动常微分方程，然后进行复特征值分析，得到锚索可能达到的最优阻尼比以及相应的最优阻尼器系数，分析锚索的倾角和垂度对锚索最优阻尼比的影响。研究结果表明：锚索各阶模态达到最优阻尼比时对应的最优阻尼器系数不同;模态阶数越高，对应的最优阻尼器系数越小；锚索垂度的存在，使得锚索的面内一阶模态最优阻尼比比其他模态小;锚索倾角、垂度的变化仅影响锚索的面内一阶模态最优阻尼比，对其他模态最优阻尼比无影响。