回首頁回首頁聯絡我們網站導覽English version
中文標題: 應用最佳化參數之被動式及相位控制之半主動式調諧質塊阻尼器於基底振動之減振
英文標題: Application of Optimal Passive and Phase-Control Semi-active Tuned Mass Dampers for Vibration Reduction under Base Excitation
編號: NCREE-12-004
語言: 中文
編輯:
媒體型式: 紙本
作者:
鍾立來   顧丁與   賴勇安   吳賴雲   
中文摘要: 本文旨在探討於線性被動式調諧質塊阻尼器 (Tuned Mass Damper,
TMD) 之最佳化設計,以及相位控制之控制律 (control algorithm) 於半主動
式TMD 受基底振動下之減振效益的研究。首先,以單自由度系統加裝一線
性被動式TMD,在白雜訊 (white noise) 基底加速度作用下,分別推導其結
構位移及絕對加速度均方 (mean square) 最小化,使用迭代法及設計公式等
兩種方式,提出線性被動式TMD 之參數最佳化設計方法。接著,以相位控
制為控制原理,提出一組控制律,欲使半主動式TMD 之相對位移與結構位
移保持 -90 度的相位差。隨後以一週期為3 秒之單自由度結構,分別受正
弦波與隨機基底加速度作數值模擬,其結果顯示結構加裝TMD 後,可有效
降低結構整體反應,加裝半主動式TMD 可較加裝被動式TMD 有更大之減
振頻率帶寬,且由頻率比敏感度及TMD 阻尼比敏感度分析,半主動式TMD
有較好的適應性,不需額外的阻尼;而經由三維圖搜尋半主動式TMD 之最
佳設計值頻率比與直接取TMD之頻率等於結構第一振態之頻率進行比較,
其減振效果差異不大,有著很好的強健性。最後以兩個實際地震歷時進行
數值模擬,分別為東西向El Centro 地震及300%東西向花蓮331 地震,其
分析結果顯示,無論是被動式TMD 或半主動式TMD,對於降低結構極值
之效果皆屬不佳,但半主動式TMD 仍對其設計參數不敏感,且相較於被動
式TMD,有著更佳的整體減振效果;同樣以三維圖尋找半主動式TMD 之
最佳設計值頻率比與直接取TMD 之頻率等於結構第一振態之頻率進行比
較,其減振效果亦差異不大,可不需進行最佳化設計,即可有不錯的減振
效果。由上述之模擬,可驗證以此控制律作用之半主動式TMD 確實有效並
有其優點。
英文摘要: The vibration suppression effect of the optimal design for linear passive tuned mass damper (PTMD) and phase control for semi-active tuned mass damper (SATMD) under base excition is proposed in this study. Firstly, a linear tuned mass damper is installed on a single-degree-of-freedom (SDOF) system. The minimum mean square of structural displacement and absolute acceleration can be derived, respectively, under the white noise base acceleration. The optimal design parameters for linear PTMD are determined by using two methods, the iteration method and the design formula. Making use of the phase control as the control principle, the semi-active control algorithm can be proposed. It makes the relative displacement of SATMD maintain 90-degree lag to the structural displacement. The SDOF structure with a period of 3 seconds is subjected to sinusoidal and random base acceleration, respectively. The results of numerical simulations show that after installing TMD, the structural response can be reduced effectively. To compare the effective frequency range of vibration suppression, SATMD is wider than PTMD. In addition, the sensitivity analyses of frequency ratio and TMD damping ratio, respectively, show that SATMD has better adaptability than PTMD and needs no additional damper. Searching through the three-dimensional figure of structural response with frequency ratio and TMD damping ratio can find that the mininmum structural response is little bit different from the structural response with frequency ratio equal to one. It means that the SATMD has good robustness. Finally, the numerical simulations of two earthquake excitations show some results. Whether the TMD is passive or semi-active, it is not good for reducing the peak value of structural response but it is good to reduce root-mean-square responses. However, SATMD is still not sensitive to the parameters and has more effect on vibration suppression than PTMD on the whole. Searching through the three-dimensional figure can also find that the mininmum structural response is little bit different from the structural response with frequency ratio of SATMD equal to one. The SATMD may not need to use the optimal design, and it can have good vibration suppression effect. By the above numerical simulation, it can be verified that the SATMD by using the proposed control algorithm is indeed valid and has its advantages.
關鍵字: 調諧質塊阻尼器、基底振動、最佳化設計、相位控制原理、半主動控制
目錄:
  下載  (396 KB)
全文:
  登入後下載  (4 MB)

[前頁] [頁首]

若您有任何關於網站內容的問題與建議,請聯絡網頁管理員,感謝。
Tel:(02)6630-0888 Fax:(02)6630-0858 Add:(106)台北市辛亥路三段200號
版權所有 2010 國家地震工程研究中心