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研究生: 沈柏宇
Shen, Po-Yu
論文名稱: 一SSCP-S肩部肌肉骨骼模型及其於手臂外展動作之運動及肌力分析的應用
A SSCP-S Musculoskeletal Model of the Shoulder Complex and Its Applications on Kinematic and Muscular Force Analyses of Arm Abduction
指導教授: 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: 2010
畢業學年度: 98
語文別: 中文
論文頁數: 227
中文關鍵詞: 空間機構齊次坐標轉換矩陣肌肉骨骼模型肩部肩帶肩胛骨肌肉路徑肌力分析
外文關鍵詞: Spatial mechanism, Homogeneous coordinate transformation matrix, Musculoskeletal model, Shoulder complex, Shoulder girdle, Scapula, Muscle path, Muscular force analysis
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  • 為了醫療器材及手動器具的研發,許多人致力於發展一套更準確且可靠的上肢肌肉骨骼模型。但在許多研究中,或因肩部的肩帶運動過於複雜而常為簡化而忽略之。然而肩帶對於上肢所做的各種動作卻扮演不可或缺的角色,實不應忽視之。而本研究的主要目的是建立一包含肩帶的肩部肌肉骨骼模型,並建立其運動、肌力及關節負荷分析等模式。
    本研究使用一SSCP-S空間機構以模擬肩部骨骼系統,並以坐標轉換及迴路方程式建立其運動分析模式,接著推得手臂作外展動作時的位移分析閉合解。除了使用Hill肌肉模型,並以Obstacle-set方法為基礎,建立一肌肉路徑模型,其可用以分析肌肉路徑及肌肉長度。結合上述之模型,可進而建立一包含18條肌肉的肩部肌肉骨骼模型。
    接著根據牛頓運動定律,建立了肌肉骨骼系統的靜力分析模式,並以二次規劃問題建立肌力之分析模式,最後建立考慮肌力作用時之關節力的分析模式。另外,以手臂作外展動作為實例,說明所建立各模式的使用及顯示各分析結果。
    由所得結果可知,考慮肌力作用後,其關節負荷比不考慮時增加許多。此外,本文所提出的模型及建立的各種分析模式,應有助於進一步建立上肢更完整的模型;對於醫療器材、上肢輔具及手動器具等的研發亦應有其參考價值。

    For the research and development of medical instruments and hand tools, many researchers have devoted themselves on developing a better and reliable musculoskeletal model of the human upper limb. But many of them chose to ignore the shoulder girdle might because it is too complicate to include. However, it plays such an important role in various activities of the upper limb, and should be considered within the model. Thus the main purposes of this study are to propose a musculoskeletal model of the shoulder complex including shoulder girdle, and to develop models for its motion, muscular force and joint loads analyses.
    The SSCP-S spatial mechanism is proposed to simulate the skeletal model of the shoulder complex. The homogeneous coordinate transformation and loop-closure equation are applied to develop the kinematic analysis model; consequently, the closed form solution of the displacement analysis for arm abduction is derived. Hill-type muscular model is adopted. Based on the Obstacle-set method, the model for analyzing the muscle paths and muscle lengths is developed. Consequently, a musculoskeletal model, which includes 18 muscles, of the shoulder complex is built to consist the models developed. According to Newton’s law, the static analysis of the musculoskeletal system is also derived. The muscular force analysis is constructed as a quadratic programming problem. Finally, joint force analysis is derived with considering the muscular forces. Furthermore, the example of arm abduction is adopted to explain the usages of the models developed and to show the analysis results.
    Based on the results, the joint forces are increased a lots due to the effects of the muscular forces. Moreover, the results of this study should have aids on further development of the musculoskeletal model of the upper limb, and on the design and development of the medical instruments, the upper limb assisting devices and hand tools.

    摘要 i 英文摘要 ii 誌謝 iv 目錄 v 頁次 v 表目錄 viii 圖目錄 xi 符號說明 xxi 醫學專有名詞中英文對照表 xxv 第ㄧ章 前言 1 1.1 研究動機 3 1.2 文獻回顧 3 1.2.1 骨骼模型 3 1.2.2 肌肉與肌力分析模型 5 1.2.3 肌肉骨骼模型 8 1.3 研究目的與方法 10 1.4 本文內容 10 第二章 以SSCP-S機構模擬肩部骨骼系統及運動分析 12 2.1 肩部骨骼模型 12 2.2 SSCp-S機構之運動分析 14 2.3 實例分析 21 2.4 本章小結 35 第三章 肌肉長度及等長肌力分析 36 3.1 Hill肌肉模型 36 3.2 肌肉骨骼模型 38 3.3 肌肉路徑及長度分析 40 3.3.1 圓球 41 3.3.2 單圓柱 43 3.3.3 球筒 46 3.3.4雙圓柱 52 3.4 實例分析 56 3.4.1 手臂肢段質心之位移分析 56 3.4.2 肌肉長度及等長肌力分析 57 3.4.2.1 不環繞障礙物 59 3.4.2.2 單圓柱 62 3.4.2.3 圓球 66 3.4.2.4 球筒 71 3.4.2.5 雙圓柱 77 3.5 本章小結 88 第四章 靜力及肌力分析 89 4.1 靜力分析 89 4.2 肌力分析 96 4.2.1 設計變數及目標函數 99 4.2.2 限制條件 100 4.2.3 關節力分析 101 4.3 實例分析 102 4.3.1 靜力分析 103 4.3.2 肌力分析 111 4.3.3 關節力分析 121 4.4 本章小結 128 第五章 結論與建議 131 參考文獻 134 附錄A 齊次坐標轉換矩陣 139 附錄B 部份位移分析之閉合解 141 附錄C SSCP機構之速度及加速度分析 146 附錄D 由文獻取得運動分析所需的輸入 151 附錄E Hill肌肉模型曲線之數據 155 附錄F 決定雙圓柱模型的特徵點(點G及H) 157 附錄G 其餘的肌肉長度及等長肌力分析 161 G.1 不環繞障礙物 161 G.2 單圓柱 164 G.3 球筒 182 G.4 雙圓柱 188 附錄H 靜力分析、肌力分析及關節力分析結果之補充 195 H.1 靜力分析 195 H.2 肌力分析 204 H.3 關節力分析 218 自述 226 著作權聲明 227

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