中文摘要：

对调谐液体阻尼器用于结构地震响应的多模态控制优化设计方法进行分析，并针对优化过程中计算繁杂的问题，以多自由度结构模态叠加思想为基础，提出适用于工程应用的优化求解实用简化方法。通过数值算例，对简化方法所得到的TLD减震效果与未简化结果之间的差异进行比较，验证简化方法的合理性及工程适用性。

英文摘要：

It is analyzed the optimal design method of tuned liquid dampers（TLDs） for controlling the multi-mode seismic responses of structures. For the sake of avoiding the problem of complex numerical optimal procedure, a simplified method applicable to engineering is presented. TLDs＇ control efficiencies obtained by the simplified method are compared with those gained by an un-simplified method using a numerical example. Meanwhile, the rationality and applicability of the simplified method are verified.