Optimization of vibration reduction for adjacent structures based on energy-dissipation enhanced torsional eddy current dampers
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摘要:
城镇化的高速发展导致土地资源紧张,易形成相邻间距较小的结构群,在地震等动力荷载作用下可能引发相邻结构相对位移过大,从而造成结构碰撞损伤.本文提出了一种耗能增强型扭转电涡流阻尼器(energy-dissipation enhanced torsional eddy current dampers,EDE-TECD)用于相邻结构减震.首先阐述了EDE-TECD的基本构造与运行机理;基于齿轮齿条式速度放大装置,得到EDE-TECD的阻尼系数估算公式;建立了施加EDE-TECD的两相邻结构简化运动方程,基于相邻结构最小阻尼比最大化优化准则,采用数值搜索方法获取了在EDE-TECD连接下的两自由度相邻结构的最优惯质比和最优阻尼比,并对最优惯质比的取值情况进行分析,由此得到EDE-TECD实际应用时的最优参数设计流程;此外,对比相邻结构间分别连接EDE-TECD或线性黏滞阻尼器情况下的减震性能.最后,分析了结构刚度削弱对EDE-TECD减震性能的影响.结果表明:数值搜索下的最优惯质比可能存在负值;增加惯质比并不能总是有利于提升结构的较小模态阻尼比;在10组地震波测试下,加装优化后的EDE-TECD能有效降低相邻结构在地震作用下的相对位移,峰值减震率平均达到64.79%,比线性黏滞阻尼器高8.42%;在El Alamo地震波作用下,结构在刚度削弱10%~40%时,EDE-TECD的峰值减震率最大降幅仅为6.29%,结构仍能保持较好减震性能.
Abstract:
The rapid urbanization has led to a tightening of land resources, often resulting in structures with small spacing between adjacent buildings. Under dynamic loads such as earthquakes, this may cause excessive relative displacement between adjacent structures, potentially leading to collision-induced damage. This paper proposes an energy-dissipation enhanced torsional eddy current damper (EDE-TECD) for vibration reduction in adjacent structures. The basic structure and operational mechanism of the EDE-TECD are first explained. Based on a rack-and-pinion speed amplifying device, a damping coefficient estimation formula for the EDE-TECD is derived. A simplified motion equation for two adjacent structures with EDE-TECD applied is established, and using the optimization criterion of maximizing the minimum damping ratio between adjacent structures, a numerical search method is employed to obtain the optimal inertial mass ratio and damping ratio for the two-degree-of-freedom adjacent structure system with EDE-TECD. An analysis of the optimal inertial mass ratio is conducted, leading to a design process for the optimal parameters in the practical application of EDE-TECD. Additionally, the vibration reduction performance of adjacent structures with either EDE-TECD or linear viscous dampers is compared. Finally, the influence of structural stiffness degradation on the vibration reduction performance of EDE-TECD is studied. The results show that the optimal inertial mass ratio obtained through numerical search may be negative. Increasing inertial mass ratio does not always improve the damping ratio of the structure’s lower modes. Under 10 sets of earthquake wave tests, the optimized EDE-TECD significantly reduces the relative displacement of adjacent structures under seismic action, with the peak vibration reduction rate averaging 64.79%, which is 8.42% higher than that of linear viscous dampers. And under the El Alamo earthquake wave, when the structure’s stiffness is reduced by 10% to 40%, the maximum decrease in the peak damping rate of EDE-TECD is only 6.29%, and the structure can still maintain good damping performance.