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研究生: 楊宗偉
Yang, Zong-Wei
論文名稱: 以扭矩匹配法設計可調式靜平衡機構
Design of Adjustable Gravity-Balancing Mechanisms Based on Torque Matching
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: 2014
畢業學年度: 103
語文別: 中文
論文頁數: 106
中文關鍵詞: 靜平衡機構非線性彈簧撓性機構上肢外骨骼裝置
外文關鍵詞: Gravity balancing mechanisms, nonlinear springs, compliant mechanisms, upper limb exoskeleton
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  • 欲補償一機器手臂的負荷要求,靜平衡機構需提供一非線性扭矩以補償荷重。現有的靜平衡機構中,依靠線性彈簧使用多種原理分析,以產生靜平衡所需之扭矩曲線;靜平衡機構可作為支撐手臂、腿部肌肉強度不足的患者的外骨骼裝置,其需求是體積小且緻密化的設計,與具備良好的活動性能。本文設計一新型靜平衡機構,使其集中於一接頭,體積小適合外骨骼裝置的應用,設計概念是採用兩個線性彈簧,以合成初靜平衡所需的非線性扭矩曲線。建立其最佳化模型,以最大化其所能平衡的荷重,並探討不同參數對其平衡荷重的影響。此外,本研究特別設計一體積小的線性彈簧,能在有限的尺寸內提供大勁度,並探討不同參數對其尺寸的影響;並透過預壓彈簧的方式,可容易地調整靜平衡機構的輸出扭矩大小,以平衡不同荷重。並建立一原型實驗,以證實所提出的靜平衡機構之貢獻。

    Compensating the payload weight of a robotic manipulator requires a mechanism that can generate a nonlinear torque curve. Existing gravity-balancing mechanisms (GBMs) rely on linear springs with various principles to generate the required torque profile. To be used as an exoskeleton for supporting a human limb with strength deficiency, a GBM needs to be compact and provide friendly motion. This paper presents the design of a novel GBM that is suitable for shoulder exoskeleton. The idea is to employ two linear springs to synthesize the required nonlinear torque curve. The springs are concentrated on the base joint to avoid possible interference with human motion. An optimization formulation is given to maximize the weight compensation capability. The effects of various parameters on the achievable weight are discussed. The linear springs are specifically designed to generate large stiffness in a limited space. The effects of various parameters on the achievable size are discussed. Low-volume compliant springs are specifically designed to serve as the linear springs so that large stiffness can be generated in a limited space. Through preloading the springs, the GBM can easily adjust its torque curve to match different weights. An illustrative prototype is given with experiment verifications to demonstrate the claimed merits of the proposed GBM.

    摘要 I 誌謝 VII 目錄 VIII 表目錄 XII 圖目錄 XIV 符號說明 XIX 第一章 緒論 1 1.1 靜平衡機構介紹 1 1.1.1 配重型 2 1.1.2 連桿型 3 1.1.3 接頭型 5 1.2 靜平衡機構應用領域 6 1.2.1 多關節機器手臂 7 1.2.2 復健裝置與運動輔具 7 1.2.3 振動隔離裝置 9 1.3 研究動機及目標 10 1.4 論文架構 11 第二章 設計概念 12 2.1 靜平衡機構之設計概念 12 2.2 機構設計 14 2.2.1 定扭矩機構之拓樸構型與初步分析 15 2.2.2 靜平衡機構之拓樸構型與初步分析 17 2.3 靜平衡機構之設計流程 20 2.4 本章小結 22 第三章 靜平衡機構之設計 23 3.1 機構之最佳化設計 23 3.1.1 模型參數化 23 3.1.2 扭矩數學模型 25 3.1.3 機構最佳化 26 3.2 可調整荷重之機構 29 3.2.1 可調整荷重之方式 29 3.2.2 預載法之可調整機構荷重 31 3.3 能量法分析與驗證 35 3.4 模擬參數對機構的影響 36 3.4.1 不同正彈簧伸長率之比較 36 3.4.2 不同平衡範圍之比較 38 3.4.3 不同扭矩相關性之比較 40 3.4.4 不同荷重初始角度之靜平衡比較 41 3.5 本章小結 42 第四章 U型彈簧之設計 45 4.1 U型彈簧與螺旋彈簧之比較 45 4.2 彈簧形狀參數化 47 4.2.1 負彈簧之參數模型 48 4.2.2 正彈簧之參數模型 49 4.3 U型彈簧之最佳化 50 4.3.1 最佳化模型 51 4.3.2 最佳化結果 53 4.3.3 調整勁度倍率之彈簧設計 54 4.3.4 調整伸長率之彈簧設計 57 4.4 設計參數對彈簧特性之影響 59 4.4.1 直樑結構對負彈簧之影響 59 4.4.2 設計邊界對負彈簧之影響 61 4.4.3 串聯組數對負彈簧之影響 62 4.4.4 直樑結構對正彈簧之影響 63 4.4.5 直樑L2對正彈簧之影響 64 4.4.6 直樑L1對正彈簧之影響 65 4.4.7 串聯組數對正彈簧之影響 66 4.5 建立誤差關係與設計流程 67 4.6 本章小結 69 第五章 有限元素分析與實驗驗證 71 5.1 建立CAD模型與有限元素分析 71 5.1.1 彈簧之CAD模型 71 5.1.2 彈簧之有限元素分析 72 5.1.3 機構之CAD模型與設計 76 5.1.4 機構之有限元素分析 82 5.2 實驗驗證 87 5.2.1 彈簧之實驗驗證 87 5.2.2 機構之實驗驗證 90 5.3 靜平衡機構之應用 94 5.4 本章小結 96 第六章 結論與未來工作 98 6.1 結論 98 6.2 未來工作 100 參考文獻 101 著作權 106

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