臺灣博碩士論文加值系統

本研究探討軸承勁度對多齒對系統動態特性的影響，首先利用具轉位係數之齒條刀具創成漸開線齒輪，再由齒型輪廓計算接觸線上之時變嚙合剛性，最後將時變嚙合剛性代入系統的運動方程式並使用朗吉-庫塔法(Runge-Kutta Method)求解，討論不同軸承勁度對多齒對嚙合系統的非線性動態行為。
結果顯示，系統在低速運轉至高速、且在每個轉速運轉一陣子時，若軸承勁度為10^10、10^12N/mm 時，則軸承勁度降低會讓系統的混沌提前產生。在高速運轉的情況下，軸承勁度降低會讓正轉係數位混沌的發生比負轉位係數快，此外，軸承勁度降低讓系統的混沌範圍增大。徑向位移方面，軸承勁度的增加會讓齒輪徑向位移量降低，並對系統動態傳輸誤差影響降低。另一方面，本研究中軸承阻尼為0.03、0.06、0.12時，對系統混沌的影響並不大。

This study discusses bearing stiffness effect on the multi-tooth system.First,the gear profile with modification coefficient by using rack cutter is proposed and the mesh stiffness at the position along the line of action is calculated.Final,the time-varying mesh stiffness into the system of equations of motion and use the Runge-Kutta method in the system, discuss different bearing stiffness on nonlinear dynamic behavior of gear system.
The results show, from low speed to high speed of the system , if the bearing stiffness is 10^10 and 10^12N/mm , that bearing stiffness reduction will make chaos ahead of the system. In the case of high speed, positive modification coefficient chaos to occur is faster than negative modification coefficient when bearing stiffness lower, Moreover，bearing stiffness Increase the scope of the system of Chaos whan bearing stiffness lower. In terms of radial displacement, due to the strong stiffness of bearing, radial displacement effect on dynamic transmission error will low. On the other hand,Bearing damping did not affect of chaos of system.

摘要.........I
目錄.........III
表目錄.........V
圖表.........VI
參數定義.........XII
希臘符號.........XV
上標.........XVI
下標.........XVI
第一章 緒論.........1
1.1研究動機.........1
1.2 文獻回顧.........2
1.3齒輪系傳動統模型.........2
1.4嚙合剛性模型.........4
1.5概述.........4
第二章 建立多齒對嚙合系統模型.........6
2-1 模型參數設定.........6
2-2 運動方程式與無因次化.........7
第三章 具轉位係數之時變嚙合剛性.........12
3-1 齒輪創成.........12
3-1-1 具轉位係數之齒條刀具.........12
3-1-2 齒條創成之轉換公式.........15
3-1-3 齒條與齒輪間之轉換.........16
3-1-4 齒廓方程式.........17
3-1-5 作用線上的方程式.........19
3-2嚙合剛性.........21
3-2-1 單齒牙嚙合剛性.........21
3-2-2 全部的嚙合剛性.........26
第四章 數值結果與討論.........28
4.1 數值結果驗證.........28
4-2. 不同軸承勁度於多齒對嚙合系統之動態分析.........37
第五章 結論與未來研究.........68
5.1 結果討論.........68
5.2 未來研究.........69
參考文獻.........70

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