近年來，使用黏性阻尼器作為減震設施，以降低地震對結構造成破壞之技術已逐漸純熟。雖然NEHRP 2000規範(FEMA 368、FEMA369)已公布發行，但對於減震控制基本設計方面主要還是參照NEHRP 1997規範(FEMA 273、FEMA274)。FEMA273、FEMA274規範僅針對結構整體等效阻尼比加以規定，但沒有詳細說明阻尼係數C值於結構系統中之分配方法，類神經網路等方法也許能得到較精確的數據，但使用方式繁複且不具明確的設計公式，對工程師而言並沒有實質的工程效用，經濟性較低。本研究提出一分配方式，雖不是最佳化，但其經濟效益與實用性較高。
過去研究已有推導阻尼器之阻尼係數依彈性應變能及樓層剪力作分配的理論，並與常用之平均分配法作比較，本研究將更進一步針對結構整體等效阻尼比的設計目標，推導阻尼器之阻尼係數分配理論，本研究探討之主要內容包括推導：(1)阻尼係數依平均分配法作分配(2)阻尼係數依樓層剪力作分配(3)阻尼係數依彈性應變能分配於全部樓層(4)阻尼係數依彈性應變能分配於部分樓層等四種阻尼器之阻尼係數分配方法並將之運用於三種結構形式：(1)規則型結構(2)立面不規則-勁度不規則之軟層(弱層)結構(3)立面不規則-勁度不連續之Setback Building。本文將以SAP2000N進行動態分析，比較結構物使用不同阻尼係數方式分配方法所造成各樓層反應之差異性。
本研究結果顯示，三種結構物依四種阻尼器之阻尼係數分配方法控制下，所造成之樓層反應(樓層相對位移、層間變位角)皆差異不大，對於結構有一定的程度的減震效益。若從經濟層面進行探討，阻尼係數依彈性應變能分配於部分樓層的阻尼器配置數量大幅減少，且其總阻尼出力也是四種方法中最小，使用此法分配阻尼係數較經濟。

The design of viscous damper has been following the FEMA specifications and MCEER reports according to the desired added damping ratio to the building structures. According to the formula, the total added damping coefficient of viscous dampers is determined. However, there exists limited information regarding the vertical distribution of the total damping coefficient of the viscous dampers along the height of the building. In the study, a distribution method based on the elastic strain energy method has been derived. The existing methods such as uniform distribution, distributions based on story shear and lateral story stiffness are compared when these methods are applied to regular building structures and vertically irregular building structures. Based on the study, the proposed distribution method are more Ecomomic and efficient than other distribution methods considering the total number of dampers used and the response control of structures.

【1】 Soong, T.T., and Dargush, G.F., Passive Energy Dissipation Systems in Structural Engineering, John Wiley & Sons, New York, 1997.
【2】 建築物耐震規範及解說，內政部，2005年7月。
【3】 Whittaker, Andrew and Constantinou, M.C., (2000), “Fluid Viscous Dampers for Building Construction,” First International Symposium on Passive Control, pp 133-142, Tokyo Institute of Technology, Tokyo.
【4】 Fu, Yaomin and Kasai, Kazuhiko (1998), “Comparative Study of Frames Using Viscoelastic and Viscous Dampers,” Journal of Structural Engineering, ASCE, Vol.124, No. 5, pp513-522.
【5】 Soong, T.T., and Constantinou, M.C., (1994), Passive and Active Structural Vibration Control in Civil Engineering, Springer-Verlag, New York.
【6】 Constantinou, M.C., and Symans, M.D., (1992), Experimental and Analytical Investigation of Seismic Response of Structures with Supplemental Fluid Viscous Dampers, Report No. NCEER-92-0032, National Center for Earthquake Engineering Research, Buffalo, New York.
【7】 FEMA, (1997), NEHRP Guidelines and Commentary for the Seismic Rehabilitation of Buildings, Reports No. 273 and 274, October, Washington, D.C.
【8】 FEMA, (2000), NEHRP Prestandard and Commentary for the Seismic Rehabilitation of Buildings, Report No. 356, November, Washington, D.C.
【9】 FEMA, (2001), NEHRP Recommended Provisions for Seismic Regulations for New Buildings and Other Structures, Reports No.368, Washington, D.C.
【10】 FEMA, (2001), NEHRP Recommended Provisions for Seismic Regulations for New Buildings and Other Structures, Reports No.369, Washington, D.C.
【11】 Raggett, J.D., “Estimating Damping of Real Structures,” Journal of the structural division, ASCE, Sept.,1975.
【12】 Conor D. Johnson and David A. Kienholz, “Finite Element Prediction of Damping in Structures with Constrained Viscoelastic Layers,” AIAA Journal, 1982
【13】 Chopra, Anil K., (1995), Dynamics of Structures, Prentice-Hall, New Jersey.
【14】 Ramirez, O.M., Constantinou, M.C., Kircher, C.A., Whittaker, A., Johnson, M. and Gomez, J.D.,(2000), Development and Evaluation of Simplified Procedures for Analysis and Design of Buildings with Passive Energy Dissipation Systems, Technical Report MCEER-00-0010, Multidisciplinary Center for Earthquake Engineering Research, University of Buffalo, State University of New York, Buffalo, NY.
【15】 Gokhan Pekcan, John B. Mander and Stuart S. Chen, "Experimental Investigation and Computational Modeling of Seismic Response of a 1:4 Scale Model Steel Structure with a Load Balancing Supplemental Damping Systems", MCEER-99-0006 , 1999
【16】 Gokhan Pekcan, John B. Mander and Stuart S. Chen, "Design and Retrofit Metodology for Building Structures with Supplemental Dissipating Systems", MCCER-99-0021 , December 31, 1999
【17】 黃震興、黃尹男，“使用線性黏性阻尼器建築結構之耐震試驗與分析”，國家地震工程研究中心報告NCREE-01-022，2001。
【18】 Kazuhiko Kasai and Kazuyuki Oohara, (2000), “Design of Velocity-Dependent Passive Control Systems,” First International Symposium on Passive Control, pp 293-307, Tokyo Institute of Technology, Tokyo.
【19】 黃震興、黃尹男、洪雅惠，“含非線性黏性阻尼器結構之減震試驗與分析”，國家地震工程研究中心報告NCREE-02-020，2002。
【20】 Seleemah, A.A., and Constantinou, M.C., (1997), Investigation of Seismic Response of Buildings with Linear and Nonlinear Fluid Viscous Dampers, Report No. NCEER-97-0004, National Center for Earthquake Engineering Research, Buffalo, New York.
【21】 秦郁晴，「黏性阻尼器於立面不規則結構之應用(I)」，碩士論文，國立台灣科技大學，台北，2008。
【22】 黃震興、何松晏，“使用黏性阻尼器減震結構設計公式修正(II)”，國家地震工程研究中心報告NCREE-04-009，2004。
【23】 SAP2000 Analysis Reference Volume 1, (1996), Computers and Structures, Inc., Berkeley California.