Abstract

The performance of torsional tuned liquid column dampers (TTLCDs) for mitigating coupled lateral and torsional vibrations of an eccentric structure, which can be modeled as a 3N degree-of-freedom structure, is theoretically investigated. Biaxial horizontal earthquakes are applied at the rigid foundation as a single-point excitation. The equations of relative fluid motion in a TTLCD with different reference points A and inclined angles $\text{β}$ of upright columns are derived. Moreover, the interaction forces and moments between the absorber and structure are determined. On the basis of the coupled equations of motion of the main system with the TTLCD, a TTLCD is tuned with respect to a selected natural frequency of the main structure through a geometric transformation in analogy to a torsional tuned mass damper (TTMD). An equivalent structure mass ratio renders the mass of the TTMD and the changed structural modal mass. Thus, the easy implementation of the simulated TTMD by Ansys software can analyze the vibration control of an eccentric structure installed with TTLCDs. Numerical simulations show that a transforming method with an explicit physical definition is feasible and accurate, and can be directly used.

摘要

理论上研究了扭转调谐液柱阻尼器（TTLCD）用于减轻偏心结构的横向和扭转振动耦合的性能，该模型可以建模为3 N自由度结构。双轴水平地震作为单点激励作用在刚性基础上。具有不同参考点A和倾斜角的TTLCD中的相对流体运动方程$\text{β}$立柱的派生。此外，确定了吸收体和结构之间的相互作用力和力矩。基于主系统与TTLCD的耦合运动方程，通过类似于扭矩调谐质量阻尼器（TTMD）的几何变换，相对于主结构的选定固有频率对TTLCD进行调谐。等效的结构质量比表示TTMD的质量和更改的结构模态质量。因此，通过Ansys软件轻松实现模拟TTMD可以分析安装有TTLCD的偏心结构的振动控制。数值模拟表明，具有明确物理定义的变换方法是可行和准确的，并且可以直接使用。