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研究生: 陳聖中
Chen, Sheng-Jhong
論文名稱: 應用圓錐滾子軸承於斜齒輪轉子系統之動態分析
Dynamic Analysis of a Helical Geared Rotor System with Tapered Roller Bearing
指導教授: 崔兆棠
Choi, Siu-Tong
學位類別: 碩士
Master
系所名稱: 工學院 - 航空太空工程學系
Department of Aeronautics & Astronautics
論文出版年: 2017
畢業學年度: 105
語文別: 中文
論文頁數: 59
中文關鍵詞: 圓錐滾子軸承斜齒輪有限元素法
外文關鍵詞: tapered roller bearing, helical gear, finite element method
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  • 本研究以有限元素法(Finite Element Method)模擬圓錐滾子軸承應用於斜齒輪轉子系統之動態行為。系統轉軸模擬為Timoshenko樑,即考慮轉軸的剪力變形效應及旋轉慣性;轉盤假設為剛體,並考慮其質量偏心與陀螺效應;軸承以圓錐滾子軸承來模擬;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。本文探討圓錐滾子軸承之軸承參數對系統側向及軸向響應之影響。從數值結果得知,隨著軸承上的滾子數量增加,系統的臨界轉速會隨之上升,而穩態響應則隨之下降。當滾子接觸角度增大時,系統的側向響應隨之上升,同時軸向響應隨之下降,臨界轉速則隨接觸角度上升而下降。若滾子的徑向間隙增大,系統臨界轉速隨之降低,共振響應則會隨之上升。

    In this thesis, dynamic analysis of a helical geared rotor system with tapered roller bearing is studied by using the finite element method. Rotating shafts are modeled as Timoshenko beam, which includes the effect of shear deformation and rotary inertia. Bearings are modeled as Tapered roller bearing. Disks are assumed 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 investigate effects of bearing parameters such as different number of rollers, roller contact angle, and roller radial clearance on lateral response and axial response of the system. Numerical results show that as the number of rollers increases, the critical speed increases, while the response reduces. When the roller contact angle increases, the lateral response increases, while the axial response reduces, and critical speed decreases. If the radial clearance increases, the critical speed decreases, and the resonance response increases.

    摘要 ii 誌謝 vi 表目錄 ix 圖目錄 x 符號說明 xi 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 7 2-1座標系統 7 2-2系統各單元之運動方程式 8 2-2-1轉盤 8 2-2-2斜齒輪 9 2-2-3轉軸 12 2-2-4圓錐滾子軸承 15 2-2-5系統運動方程式 18 2-3動態特性分析 19 2-3-1旋振速率分析 19 2-3-2穩態響應分析 20 第三章 數值結果與分析討論 22 3-1程式驗證 22 3-1-1斜齒輪 22 3-1-2圓錐滾子軸承 23 3-2自然頻率與模態分析 23 3-3軸承參數對系統之影響 24 3-3-1滾子數量對系統之影響 24 3-3-2滾子接觸角度對系統之影響 24 3-3-3滾子徑向間隙之影響 25 第四章 結論 26 參考文獻 27 附錄一 30 附錄二 31 附錄三 33 附錄四 41

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