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研究生: 吳岱勳
Wu, Tai-Hsun
論文名稱: 設計零至無窮大變勁度機構於半主動式振動系統
Design of a Zero-to-infinite Variable Stiffness Mechanism for Semi-active Vibration Systems
指導教授: 藍兆杰
Lan, Chao-Chieh
邱顯堂
Chiou, Shen-Tarng
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2015
畢業學年度: 104
語文別: 中文
論文頁數: 91
中文關鍵詞: 吸振器半主動式振動抑制變勁度零勁度無窮大勁度
外文關鍵詞: Vibration absorber, Semi-active vibration control, Variable-stiffness mechanism, Zero stiffness, Infinite stiffness
相關次數: 點閱:201下載:5
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  • 由於振動會造成機器在運作時定位精度降低、零件磨耗甚至使得機器無法正常運作或損壞,因此在工程中如何抑制各種不同頻率的振動影響變成為一項重要的課題,其中可依使用的方式而分成被動式振動抑制及主動式振動抑制,由於兩種類型各有其優劣之處,因此結合兩者之長而發展出半主動式的振動抑制。半主動式振動抑制主要為透過變阻尼或變勁度來使系統達到振動抑制的效果,其中又以機械式變勁度此類型的表現最為突出,故於本論文中藉由機構的設計提出了旋轉法變勁度,並將其應用於振動系統中。
    旋轉法變勁度的原理是將兩個相同的平面彈簧採左右對稱的方式裝配於上下兩剛體之間,下端點以旋轉接頭接於水平輸出桿上,利用垂直滑槽的垂直位移來調整平面彈簧的初始夾角,使得平面彈簧的上端點會以下端點為圓心旋轉,並搭配止動元件與平面彈簧的形狀,使得旋轉法變勁度機構同時具有撓性及剛性兩種特性。旋轉法變勁度機構處於撓性狀態時,變勁度範圍可達25.15 N/mm,同時當水平輸出桿位於初始位置時,調整勁度不須施加額外能量,且能以直線位移來調整平面彈簧旋轉角度,使勁度調整能更加線性。在透過探討平面彈簧與其他零件的給定參數對旋轉法變勁度機構特性之影響後,可設計出符合需求之變勁度機構,並將其應用於振動抑制,經由實驗可驗證當旋轉法變勁度機構作為吸振子系統時,能有效抑制輸入頻率為8至17 Hz之間且振幅為1 mm的振動。

    This paper presents the design and experiment of a variable stiffness mechanism (VSM) for semi-active vibration systems. Compared with vibration isolators or absorbers with constant stiffness elements, the use of a variable stiffness element can adapt to the variation in disturbance frequency or load. The idea of the proposed VSM is to adjust the symmetric rotation of two parallel connected springs. The output force-to-displacement curve can exhibit zero to very large stiffness depending on the rotation amount of the springs. Infinite stiffness is further achieved by using mechanical stoppers to constrain the displacements of the springs. To further reduce the VSM size and complexity, specifically designed planar springs are proposed to replace commercially available coil springs. Force and stiffness analyses are presented to design a VSM with the largest stiffness variation. The effects of various parameters on the stiffness variation are discussed. Finally, a prototype and its associated experiments are presented to demonstrate the vibration absorption performance against various disturbance frequencies.

    摘要 I 英文摘要 II 誌謝 VI 目錄 VII 圖目錄 XI 表目錄 XV 符號表 XVI 第一章 序論 1 1.1 振動抑制原理 1 1.1.1 隔振原理 1 1.1.2 吸振原理 2 1.2 振動抑制類型 3 1.2.1 被動式 3 1.2.2 主動式 4 1.2.3 半主動式變阻尼型 5 1.2.4 半主動式變勁度型 6 1.3 機械式變勁度型 7 1.3.1 結構式 7 1.3.2 機構式 8 1.3.3 拮抗式 9 1.4 動機與目標 9 1.5 論文架構 11 第二章 設計概念 13 2.1 前言 13 2.2 旋轉法變勁度原理 13 2.3 撓性元件分析 15 2.3.1 力量分析 15 2.3.2 勁度分析 17 2.3.3 操作區間選取 20 2.3.4 線性度計算 21 2.3.5 零勁度等級計算 22 2.4 旋轉法之平面彈簧分析 23 2.4.1 平面彈簧取代螺旋彈簧 23 2.4.2 建立參數化模型 24 2.4.3 參數化模型分析結果 25 2.5 參數對機構特性之影響 28 2.5.1 操作區間對機構特性的影響 29 2.5.2 初始夾角作動範圍對機構特性的影響 30 2.5.3 初始端點距離對機構特性的影響 32 2.6 本章小結 34 第三章 機構設計 35 3.1 前言 35 3.2 驅動器選定 35 3.3 變勁度範圍 37 3.3.1 串聯彈性致動器 37 3.3.2 無窮大勁度機構設計 39 3.4 平面彈簧設計 40 3.4.1 平面彈簧設計流程 40 3.4.2 平面彈簧演變分析 43 3.5 調整機構設計 45 3.6 本章小結 47 第四章 有限元素法分析與實驗驗證 49 4.1 前言 49 4.2 有限元素法分析 49 4.2.1 基礎設定 49 4.2.2 平面彈簧之有限元素分析結果 51 4.2.3 無窮大勁度機構之有限元素分析結果 53 4.3 變勁度實驗驗證 55 4.3.1 實驗配置 55 4.3.2 變勁度實驗 59 4.4 本章小結 62 第五章 旋轉法變勁度吸振器 63 5.1 前言 63 5.2 吸振器動態分析 63 5.3 吸振實驗驗證 66 5.3.1 實驗配置 66 5.3.2 葉面彈簧設計 69 5.3.3 吸振實驗 71 5.4 阻尼對振動系統之影響 75 5.4.1 阻尼分析 76 5.4.2 阻尼之校正結果 77 5.5 勁度非線性對振動系統之影響 78 5.5.1 非線性勁度簡化 78 5.5.2 作用力取代勁度位移乘積之校正結果 79 5.5.3 輸入振幅之影響 81 5.6 本章小結 82 第六章 結論與未來建議工作 83 6.1 結論 83 6.2 未來建議工作 84 參考文獻 87 著作權 92

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