目前國內外規範有關黏性阻尼器設計公式中，阻尼器所消散的能量雖與阻尼係數成正比，但該設計公式並無規定或暗示如何指定或分配係數值於各樓層。對於結構設計阻尼比固定之情況下，阻尼係數將有無窮多種分配組合。對於阻尼係數值的決定或黏性阻尼器的配置，許多研究中皆提出各種不同之分配理論與方法，其中分配於各樓層的阻尼係數不同，總阻尼係數也不相同，但目前尚無文獻對於阻尼器配置於整體結構之結構控制和經濟層面上達到最佳效益進行系統化之比較。因此本研究將使用基因演算法分析結構受地震擾動下之最佳化阻尼係數分配，並同時考量結構的控制性以及經濟性，以尋求最佳化之阻尼係數分配法。而此最佳化的結果將與以往各種分配理論方法比較，並以相同設計阻尼比為前提，設計三種不同形式的二維構架:規則型結構、具軟層結構及Setback Building，分別探討增設黏性阻尼器之減震結構的彈性與非彈性反應，驗證與比較各種分配方法之理論以及成效。經分析可知，各分配法對於彈性反應的抑制或非彈性反應的抑制與塑性轉角的折減都相當接近。推論如欲求取最佳化之樓層阻尼係數分配，固然可以使用本研究所提出之最佳化方法；倘若因實務需求，則本研究建議採用剪力應變能分配於有效樓層法具有較佳之減震效益、經濟價值與時間成本優點。

Design formulas for viscous dampers are provided in the current design codes. However, using the code-specified design formulas, there exist an infinite number of selections for the distribution of damping coefficients of the dampers along the height of the building corresponding to a target added damping ratio. As a result, various distribution methods had been proposed in the past, but no systematic comparison for these methods has been made considering both the structural performance and damper cost. Therefore, in this study, a genetic algorithm is adopted to optimize the damping coefficient distribution, and the result is compared with the structures designed by existing damping coefficient distribution methods. However, it should be noted that all distribution methods are conducted with a constraint by which the added damping ratio is set to be the same. The elastic and inelastic seismic responses of three types of moment-resisting frames equipped with viscous dampers are then investigated. These three types of frames include a regular building frame, two vertically irregular frames with a soft story and a setback frame. Based on the criterion of identical added damping ratio, six different distribution methods are used to calculate the distributed damping coefficients along the height of the three frames. Numerical results from the proposed genetic algorithm will be compared with those calculated from the other distribution methods. The study has concluded that no significant difference was found in the seismic performance of the structures, although the proposed method can offer the optimized damping coefficient distribution. The distribution method based on the story shear strain energy to efficient stories is suggested to more appropriate than the other existing methods for practical design considering design simplicity.

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