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研究生: 鄭巧靖
Chiao-ching Cheng
論文名稱: 週期扭振吸振器之設計與研究
A Design and Study of a Torsional Periodic Vibration Absorber
指導教授: 黃世欽
Shyh-Chin Huang
口試委員: 黃以玫
none
徐茂濱
Mau-Pin Hsu
學位類別: 碩士
Master
系所名稱: 工程學院 - 機械工程系
Department of Mechanical Engineering
論文出版年: 2010
畢業學年度: 98
語文別: 中文
論文頁數: 72
中文關鍵詞: 扭振週期吸振器
外文關鍵詞: torsional, periodic, absorber
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  • 本研究旨在設計一簡易的週期扭振吸振器(TPVA)能輔助主結構抵抗週期扭力負荷。主結構在實務上經常承受週期負荷,在數學上週期扭力負荷可視為一倍頻負荷的組成,現今發展的吸振器皆以吸收單頻或寬頻振動為主,罕見針對倍頻振動的吸振器。吾人採用數個環形質塊與數個扭力彈簧結合成一可吸收週期扭力負荷的吸振器,並應用接納法推導TPVA之頻率方程式,繼而求解此方程式可獲得製作TPVA的參數。
    文中將設計的TPVA裝置於一軸上,當軸承受一週期扭力負荷時,從數值結果可觀察出TPVA能有效地吸收扭力負荷的能量,進而減低負荷對軸的損害。文末製作TPVA的實體模型裝置於主系統上,期以實驗驗證其減振效應,並作為理論與模型修改之依據。上述研究的成果除提出一創新吸振器的設計外,亦可提供工程人員結構減振之重要資訊。


    The purpose of this thesis is to design a simple system of Torsional Periodic Vibration Absorber (TPVA) which is mounted to a primary structure to resist external excitation. Machines are often subjected to periodic excitation in industrial applications. A periodic excitation has a peculiar feature that it is in terms of waves of multiple frequencies after Fourier series expansion. Traditional dynamic vibration absorber (DVA) is usually designed for a tonal frequency to either avoid structure resonance or absorb external forcing. It is obviously insufficient to attenuate multiple frequencies excitation. The designed TPVA consists of four ring-masses and eight torsional springs. The frequency equation of TPVA is derived from the receptance method. Solving the frequency equation which is derived via sensitivity analyses, and the absorber’s parameters can be calculated. Based on calculated details, first three natural frequencies of the TPVA are in integer multiples of the basic frequency. Finally, the periodic responses of the primary system with/without designed TPVA are examined numerically and experimentlly. A satisfactory and consistent accuracy between theory and experiment is arrived. The TPVA is believed to provide an efficient and effective tool for suppressing periodic vibration in primary structure. The developed absorber is helpful to the audience in vibration absorption.

    摘 要I ABSTRACTII 誌 謝III 目 錄IV 圖表索引VII 符號索引X 第一章緒論1 1.1研究動機與目的1 1.2文獻回顧2 1.3本文架構3 第二章 週期扭振吸振器之設計與分析8 2.1 接納法理論8 2.2 週期扭振吸振器之接納度12 2.3 週期扭振吸振器之固有頻率與模態13 2.3.1 系統之固有頻率14 2.3.2 系統之固有模態16 2.4 參數分析17 2.4.1 敏感度分析18 2.4.2 系統之參數設計20 第三章 軸-吸振器系統之減振分析29 3.1 系統之基本假設與能量式29 3.2 系統之離散化與運動方程式30 3.2.1 能量式之離散化31 3.2.2 運動方程式32 3.3數值結果與討論34 第四章 實驗量測42 4.1實驗儀器設備42 4.1.1 頻譜分析儀之基本設定44 4.2 實驗架構45 4.2.1 主系統與吸振器之組成45 4.2.2 實驗架設46 4.3 實驗結果與討論47 第五章 結論與未來研究方向57 5.1 結論57 5.2 未來可行之研究方向59 參考文獻61 附錄A 63 附錄B70 作者簡介72

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