摩擦鐘擺型調諧質塊阻尼器之最佳化研究

Optimal Design of Friction Pendulum Typed Tuned Mass Damper

鍾立來(Lap-Loi Chung) ； 吳賴雲(Lai-Yun Wu) ； 陳宣宏(Hsuan-Hung Chen) ； 黃旭輝(Hsu-Hui Huang) ； 連冠華(Kuan-Hua Lien)

《中國土木水利工程學刊》 23卷1期 (2011/03) Pp. 11-23

https://doi.org/10.6652/JoCICHE.201103_23(1).0002

摘要

摩擦鐘擺型調諧質塊阻尼器之圓弧球面提供回復力及摩擦力，無需額外之彈簧及阻尼器，且不需懸吊，節省空間。本文旨在探討摩擦鐘擺型調諧質塊阻尼器之最佳化設計參數，藉由最佳化設計之理論，推導最佳設計參數之方程式，並採數值方法，有系統地迭代，求取最佳設計參數。由參數分析可知，結構減振效果對頻率比相當靈敏，而對摩擦係數則不甚靈敏；當質量比變化時，最佳頻率比及摩擦係數並沒有明顯變動之趨勢。以台北101大樓作為實際案例，進行摩擦鐘擺型調諧質塊阻尼器之最佳設計，經數值分析之驗證，確實發揮減振效果，符合舒適度之要求，因此，摩擦鐘擺型調諧質塊阻尼器實屬可行。

關鍵字

結構控制 ； 調諧質塊阻尼器 ； 非線性 ； 摩擦鐘擺

並列摘要

Since restoring force and friction force are provided by the spherical surface of the friction pendulum typed tuned mass damper, springs and dampers are not needed. Moreover, suspension is not necessary and the installation space is greatly reduced. In this paper, optimal design of friction pendulum typed tuned mass damper is investigated. Equations for the optimal design parameters are derived such that the objective function is minimized. Because the equations are nonlinear, numerical procedures are adopted to solve for the optimal design parameters through systematic iterations. From sensitivity study, vibration suppression is very sensitive to the frequency ratio and not that sensitive to the friction coefficient. The variation of optimal design parameters with the mass ratio is not significant. The feasibility of the friction pendulum typed tuned mass damper is illustrated by the Taipei 101. After optimal design and numerical verification, the effect of vibration reduction is developed and the requirement of comfort is satisfied for the Taipei 101 with the implementation of the friction pendulum typed tuned mass damper.

並列關鍵字

structural control ； tuned mass damper (TMD) ； nonlinear ； friction pendulum