齒輪嚙合剛度預估與系統振動分析｜國立中央大學博碩士論文系統

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研究生：	林兆偉 Jhao-wei Lin
論文名稱：	齒輪嚙合剛度預估與系統振動分析 Analysis of the Mesh Stiffness and Vibration of a Spur Gear Pair
指導教授：	黃以玫 Yii-Mei Huang
口試委員:
學位類別：	碩士 Master
系所名稱：	工學院 - 機械工程學系 Department of Mechanical Engineering
畢業學年度：	100
語文別：	中文
論文頁數：	81
中文關鍵詞：	傳遞誤差、嚙合剛度、齒輪振動
外文關鍵詞：	Vibration, Mesh Stiffness
相關次數：	點閱：15 下載：0
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本文主要探討目標為齒輪組之動態響應分析與齒輪故障對系統動態特性的影響。研究方法為使用集中質量法將齒輪系統以質量，嚙合剛度彈簧、阻尼建立齒輪動態分析的模型，並使用有限元素軟體ANSYS建立無缺陷齒輪組與齒根有裂痕齒輪組的模型並分析齒輪接觸時的變形與受力，計算隨不同嚙合位置改變的嚙合剛度，將兩種模型的嚙合剛度代入運動方程式，並以數值方法龍格-庫塔法求解齒輪的動態響應，分析兩種齒輪組在各種不同轉速下的特性，最後以頻譜分析與均方根找出的齒根有裂痕的故障特徵。

The purpose of this research is to investigate the dynamic characteristics of a spur gear pair and to study the effects of tooth crack on the dynamic response. The gear dynamic model is developed by a lumped parameter method for the vibration response. The mesh stiffness between two gears is calculated by using a finite element software – ANSYS. Then, the equations of motion are solved by using Runge-Kutta method. The features of dynamic signals for the crack in a tooth are found.

目錄
目錄 ................................................................................................................I
圖索引............................................................................................................. III
表索引.............................................................................................................VI
符號說明............................................................................................................VII
第一章緒論....................................................................................................... 1
1-1 前言........................................................................................................ 1
1-2 文獻回顧................................................................................................ 2
1-3 內容提要................................................................................................ 3
第二章基本理論............................................................................................... 5
2-1 齒輪振動的原因................................................................................... 4
2-1-1 齒輪嚙合剛度.......................................................................................... 4
2-1-2 傳遞誤差................................................................................................. 5
2-2 有限元素法原理與ANSYS統御方程式............................................ 6
2-2-1 材料力學................................................................................................. 6
2-1-1.1 平衡方程式.................................................................................... 7
2-1-1.2 應變與位移之關係.......................................................................... 8
2-1-1.3 應力與應變之關係.......................................................................... 9
2-2-2 剛性矩陣與形狀函數................................................................................ 9
2-2-3 ANSYS統御方程式................................................................................. 10
2-3 龍格-庫塔法原理................................................................................ 11
2-4 訊號加窗.............................................................................................. 12
II
第三章ANSYS分析與嚙合剛度計算........................................................... 13
3-1 ANSYS的分析流程........................................................................... 13
3-1-1材料性質設定......................................................................................... 14
3-1-2建立齒輪模型......................................................................................... 14
3-1-3齒輪接觸設定......................................................................................... 15
3-1-4網格設定................................................................................................ 16
3-1-5邊界條件設定......................................................................................... 16
3-1-6結果顯示................................................................................................ 17
3-2 齒輪嚙合剛度的計算方式................................................................. 17
3-3 無缺陷與齒根有裂痕齒輪組的嚙合剛度比較................................. 19
第四章齒輪系統振動分析結果與討論......................................................... 21
4-1 齒輪系統的數學模型......................................................................... 22
4-1-1嚙合剛度內插曲線.................................................................................. 22
4-2 振動特性分析...................................................................................... 22
4-2-1無缺陷齒輪振動特性分析........................................................................ 23
4-2-2齒根有裂痕齒輪組振動特性分析.............................................................. 24
4-3 無缺陷與齒根有裂痕的振動特性比較............................................. 25
第五章結論與未來展望................................................................................. 27
5-1 結論整理.............................................................................................. 27
5-2 未來展望.............................................................................................. 28
參考文獻............................................................................................................. 29

                                

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