In this article, optimization of the toroidal tuned liquid column damper (TTLCD) for suppressing harmonic vibration is investigated. First, a closed-form solution for the TTLCD–structure system is derived. Based on the solution, optimization is carried out and some design tables listing the optimum parameters are obtained. Secondly, a parametric investigation of key parameters that affect the damping properties of the TTLCD–structure system is performed to reveal how to produce optimal damping effects. Finally, a design example of the TTLCD is illustrated. A conventional TLCD is also designed based on the same controlled structure for comparison. The results reveal that the TTLCD can maintain the equivalent damping ratio of the system at a high level in arbitrary directions, while the TLCD has a high damping ratio in its main control direction but falls significantly in the direction perpendicular to its main control direction.

在本文中，研究了用于抑制谐波振动的环形调谐液柱阻尼器 (TTLCD) 的优化。首先，推导出 TTLCD 结构系统的封闭形式解。在此基础上，进行优化，得到一些列出最佳参数的设计表。其次，对影响 TTLCD 结构系统阻尼特性的关键参数进行参数研究，以揭示如何产生最佳阻尼效果。最后，说明了TTLCD的设计实例。传统的TLCD也是基于相同的受控结构设计的以进行比较。结果表明，TTLCD可以在任意方向上保持系统的等效阻尼比处于较高水平，