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系統識別號 U0026-2906201812034900
論文名稱(中文) 應用複合材料軸於斜齒輪之轉子系統動態分析
論文名稱(英文) Dynamic Analysis of Helical Geared Rotor-Bearing System with Composite Shafts
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 106
學期 2
出版年 107
研究生(中文) 鄭旭峯
研究生(英文) Xu-Feng Cheng
學號 P46051181
學位類別 碩士
語文別 中文
論文頁數 73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 斜齒輪  複合材料轉軸  有限元素法 
英文關鍵字 Helical Gear  Composite shaft  Finite Element Method 
學科別分類
中文摘要 本文以有限元素法來分析含複合材料轉軸之斜齒輪轉子軸承系統之動態行為。轉軸是由複合材料所組成且模擬為 Timoshenko 樑,即考慮轉軸之旋轉慣性及剪應變效應,轉盤假設為剛體,並考慮質量偏心及陀螺效應,軸承以線性彈簧及線性阻尼器來模擬;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。本文探討不同層數、齒輪嚙合及阻尼係數對系統自然頻率、側向及軸向響應的影響。分析結果顯示,當複合材料軸層數增加時,系統共振頻率隨之提升,而共振響應則隨之降低,當軸承阻尼係數增大時,系統共振頻率隨之提升,而共振響應則隨之降低。隨著齒輪嚙合勁度係數的增加,系統共振頻率隨之提升,共振響應則會隨之下降。
英文摘要 This thesis performs dynamic analysis of a helical geared rotor-bearing system with composite shafts is studied by using the finite element method. Rotating shafts of the system are composed of composite material and modeled as Timoshenko beam, which includes the effect of rotary inertia and shear deformation. Bearings are modeled as linear spring-damper. 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 discuss effects of parameters such as stacking sequence of rotating shaft, layers of rotating shaft, mesh stiffness coefficient of gear pair and damping coefficient of bearings on the resonance frequency and steady-state response of the system. Numerical results show that as the number of layers of composite shaft increase, the resonance frequencies of the system raise, and the resonance response of the system reduces. When the bearing damping coefficient increase, the resonance frequencies of the system raises, and the resonance response of the system reduces. As the stiffness coefficient of gear mesh increases, the resonance frequencies of the system raise, and the resonance response of the system reduces.
論文目次 摘要 i
誌謝 v
表目錄 viii
圖目錄 ix
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 3
1-4本文研究 7
第二章 系統運動方程式推導 9
2-1座標系統 9
2-2系統各單元之運動方程式 9
2-2-1轉盤 9
2-2-2斜齒輪嚙合 11
2-2-3轉軸 14
2-2-4複合材料轉軸 16
2-2-5軸承 21
2-2-6系統運動方程式 22
2-3動態特性分析 22
2-3-1旋振速率分析 23
2-3-2穩態響應分析 24
第三章 數值結果模擬與討論 25
3-1程式驗證 25
3-1-1斜齒輪 26
3-1-2複合材料轉軸 26
3-2自然頻率與模態分析 26
3-3不同疊層角度之穩態響應分析 27
3-4不同層數之影響 27
3-5齒輪嚙合勁度之影響 28
3-6軸承阻尼之影響 29
第四章 結論 30
參考文獻 31
附錄一 35
附錄二 37
附錄三 45
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