臺灣博碩士論文加值系統

本研究探討動態吸振器在工程上的應用，首先回顧兩種傳統吸振器，透過運動方程式的推導，得到影響主系統響應之參數，分別為質量比、頻率比與阻尼比，經由改變參數，得知主系統響應的變化趨勢。接著建立互助式雙質塊吸振器與輔助雙質塊吸振器模型，分析模式如同傳統吸振器。之後進行最佳化分析，比較以上吸振器在不同質量比與不同頻域時之吸振效應，得知互助式雙質塊吸振器能獲得較佳的吸振效應。再針對互助式雙質塊吸振器提出三種範例之最佳化分析，由數值結果的呈現，提供使用者最佳參數之設計參考。文章最後列舉吸振器在未來可行之建議研究方向。

The purpose of this thesis is to explore the application of dynamic vibration absorber for engineering. First, the two conventional dynamic vibration absorbers are reviewed. By deriving the equation of motion, the parameters of the main system response were obtained, and they are mass ratio, frequency ratio, and damping ratio. And by changing the parameters, the changing tendency of the main system response were then gained. Afterward, the models of dual reaction mass dynamic vibration absorber and auxiliary dual mass dynamic vibration absorber were constructed, and the analysis model followed the model of the conventional vibration absorber. Next, we analyzed the optimization in order to compare the absorption effects of these four absorbers in different frequency domains, and the result showed that dual reaction mass dynamic vibration absorber revealed better absorption effects. Besides, three examples of optimization analysis of dual mass dynamic vibration absorber are also presented by the way of numerical results. In the end of the paper, some suggestions of future study of dynamic vibration absorber are also provided.

摘要 I
ABSTRACT II
誌謝 III
目錄 V
圖表索引 VIII
符號索引 XI

第一章 緒論 1
1.1 文獻回顧 1
1.2 研究動機與目的 2
1.3 本文架構 3
第二章 單質塊動態吸振器分析 5
2.1 運動方程式之推導 5
2.1.1 傳統單質塊吸振器 5
2.1.2 地勾式單質塊吸振器 8
2.2 參數對吸振效應之探討 9
2.2.1 不同阻尼比對頻域響應之影響 10
2.2.2 不同頻率比對頻域響應之影響 12
2.2.3 不同質量比對頻域響應之影響 12
第三章 互助式雙質塊吸振器分析 22
3.1 運動方程式之推導 22
3.1.1 互助式雙質塊吸振器 22
3.1.2 輔助雙質塊吸振器 27
3.2 參數對吸振效應之探討 28
3.2.1 互助式雙質塊吸振器不同參數對頻域響應之影響 28
3.2.2 輔助雙質塊吸振器不同參數對頻域響應之影響 31
第四章 互助式雙質塊吸振器最佳化探討 38
4.1 最佳化方法 38
4.1.1 地形鑑識法 39
4.1.2 複合形法 41
4.2 目標函數 43
4.3 數值結果與討論 45
4.3.1 三吸振器之吸振效應比較 47
4.3.2 互助式雙質塊吸振器之最佳化工程 49
第五章 結論與未來研究方向 74
5.1 結論 74
5.2 未來可行之研究發展方向 76
參考文獻 78
作者簡介 80

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