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 系統識別號 U0026-2808201619174600 論文名稱(中文) 人字齒輪轉子軸承系統之動態分析 論文名稱(英文) Dynamic Analysis of a Double-Helical Geared Rotor-Bearing System 校院名稱 成功大學 系所名稱(中) 航空太空工程學系 系所名稱(英) Department of Aeronautics & Astronautics 學年度 104 學期 2 出版年 105 研究生(中文) 許凱甯 研究生(英文) Kai-Ning Hsu 學號 p46031199 學位類別 碩士 語文別 中文 論文頁數 67頁 口試委員 指導教授-崔兆棠口試委員-江達雲口試委員-周玉端口試委員-陳膺中 中文關鍵字 轉子軸承系統  人字齒輪  有限元素法 英文關鍵字 Rotor-bearing system  Double-helical gear  Finite element method 學科別分類 中文摘要 本研究以有限元素法 (Finite Element Method)模擬人字齒輪於轉子軸承系統之動態行為並以ANSYS軟體來驗證人字齒輪轉子軸承系統。系統轉軸模擬為Timoshenko樑，即考慮轉軸的剪應變效應及旋轉慣性；轉盤假設為剛體，並考慮其陀螺效應及質量偏心；軸承以線性彈簧及阻尼器來模擬；齒輪對視為線性彈簧及阻尼器沿著壓力線連接的兩個剛性轉盤來模擬。本文探討斜齒輪轉子軸承系統與人字齒輪轉子軸承系統於軸向響應之差異。改變齒輪螺旋角度、齒輪嚙合勁度係數、齒輪傳遞誤差及齒輪位於不同節點，對系統自然頻率、側向及軸向響應的影響。從理論及前述模擬得知，人字齒輪相較於斜齒輪產生的軸向響應較小。從數值結果得知，改變齒輪上的變數對系統之側向-扭轉耦合模態影響較大。 英文摘要 In this thesis, dynamic analysis of a double-helical geared rotor-bearing system is studied by using the finite element method. Rotating shafts are modeled as Timoshenko beam, which includes shear deformation and the effect of rotary inertia. Bearings are modeled as linear spring-damper. Disks are considered to be rigid, and their gyroscopic effect is taken into account. The gear mesh is modeled as a pair of rigid disks connected with spring-damped set along the pressure line. In this thesis, we discuss about the difference of axial response between helical geared rotor-bearing system and double-helical geared rotor-bearing system and the effects of parameters, such as helical angle, gear mesh stiffness, transmission error of gears, and different location of gears on natural frequency, lateral response, and axial response of the system. Software ANSYS is used to verify results for double-helical geared rotor-bearing systems. Numerical results show that the resonant response in axial direction of the double-helical geared rotor-bearing system is smaller than that of the helical geared rotor-bearing system, and that parameters of gears have much influence on the lateral-torsional coupling modes of the system. 論文目次 目錄 摘要 i 誌謝 v 表目錄 ix 圖目錄 x 符號說明 xii 第一章 緒論 1 1-1前言 1 1-2研究動機與目的 2 1-3文獻回顧 2 1-4本文研究 6 第二章 系統運動方程式推導 6 2-1座標系統 7 2-2系統各單元之運動方程式 7 2-2-1轉盤 7 2-2-2人字齒輪 9 2-2-3轉軸 12 2-2-4軸承 15 2-2-5系統運動方程式 16 2-3動態特性分析 16 2-3-1自然頻率分析 17 2-3-2模態分析 18 2-3-3穩態響應分析 19 第三章 數值結果與分析討論 20 3-1 ANSYS軟體求解步驟 20 3-1-1 前處理 21 3-1-2 運算 22 3-1-3後處理 22 3-2程式驗證 22 3-2-1斜齒輪 23 3-2-2人字齒輪 23 3-3自然頻率與模態分析 24 3-4系統之旋振速率圖 24 3-5斜齒輪、人字齒輪轉子軸承系統穩態響應 25 3-6齒輪參數對系統之影響 25 3-6-1齒輪嚙合勁度係數之影響 25 3-6-2螺旋角度之影響 26 3-6-3齒輪傳遞誤差之影響 26 3-7不同齒輪位置對系統之影響 26 第四章 結論 28 參考文獻 29 附錄一 32 附錄二 33 附錄三 35 參考文獻 [1]Ruhl, R. L., and Booker, J. 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