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系統識別號 U0026-2406201521291200
論文名稱(中文) 小模數行星齒輪系之設計與分析
論文名稱(英文) Design and Analysis of Small-Module Planetary Gear System
校院名稱 成功大學
系所名稱(中) 航空太空工程學系碩士在職專班
系所名稱(英) Department of Aeronautics & Astronautics (on the job class)
學年度 103
學期 2
出版年 104
研究生(中文) 梁智翔
研究生(英文) Chih-Hsiang Liang
學號 P47011118
學位類別 碩士
語文別 中文
論文頁數 62頁
口試委員 指導教授-賴維祥
口試委員-尤芳忞
口試委員-夏育群
中文關鍵字 行星齒輪  小模數齒輪  頻譜響應  振動與噪音 
英文關鍵字 planetary gears  small-module gear  spectral response  vibration and noise 
學科別分類
中文摘要 本研究之目的在於設計開發小模數的行星齒輪系統,主要利用齒輪設計套裝軟體MITCalc為設計平台,計算齒輪相關參數並輸出3D模型,再以繪圖軟體Solidworks建立實體模型,製造出模數0.25,減速比1:4的行星齒輪系,型式為2K-H型。實驗分析部分,則將完成的行星齒輪系,安裝於市售的醫療牙科鑽牙機上,使用量測儀器包括了數位式溫度感測器量測溫度,可程式噪音計量測噪音,頻譜分析儀量測振動,來驗證設計上是符合醫療法規ISO 14457的要求。
由於齒輪設計套裝軟體眾多,但是對於齒輪較重要的精度、齒隙、轉位係數…等參數都無深入剖析,還是仰賴於設計者的經驗作調整,本論文將透過實驗來分析與探討上述的齒輪參數對於溫度、噪音、振動量的影響。
最後透過此論文的實驗分析,可以得知精度等級,會是影響齒輪系統品質的最重要參數。將齒輪精度從4級提升至2級時,可以將溫升降低4℃、噪音減小8 dBA、振動量縮小2 Grms。有轉位係數的齒輪相對於沒有轉位係數的齒輪,噪音值減小2 dBA、振動量縮小0.75 Grms ,但對於溫升並無差別。將齒隙從0.01~0.02mm放大到0.02~0.03mm,因為齒對齒的空間增加,潤滑效果變佳,溫升可降低1.4℃,但是噪音提高2.8 dBA與振動量變大0.24 Grms。
英文摘要 SUMMARY
The objective of this research is to design and develop a small-module planetary gear system which is applied to medical dental low speed Handpiece. To design this planetary gear system, the MITCalc and Solidworks softwareare used, and through mechanical manufacturing methods to produce the hardware. Through measurements this planetary gear system is verified to be consistent with the requirement of ISO 14457. Also it is found the relationship between the parameters and performance. As the result of the experimental, upgrade the accuracy of gear can reduce the temperature rise, noise and vibration. Decreasing the gear backlash can reduce the noise, but the temperature rise will be high; Increasing the gear backlash can lower the temperature rise, but the noise will be raised also. Therefore, the gear backlash will affect the temperature and noise. With or without the profile shifting coefficient makes no big difference of the temperature; however, the noise and the vibration is obvious lower than that of the gear with profile shifting coefficient.
Keywords: planetary gears, small-module gear, spectral response, vibration and noise.

INTRODUCTION
There are many gear design software, however, no one focus on the important gear parameter of its accuracy, backlash, profile shifting coefficient...etc. All of those parameters are dependent on designer’s experience to adjust, and it often requires a lot of time to make adjustments. This thesis will analyze and discuss the effects of the parameter to the temperature rise, noise, vibration data by experiment to find the relationship between these parameters, to reduce research and development time and to improve gear quality.

METHODS AND MEASUREMENT
In this study, MITCalc software is utilized as the design platform to calculate gear parameters and output 3D models. Solid models is also built by 3D CAD software – Solidworks. By mechanical manufacturing methods, a planetary gear system with module is 0.25 and reduction ratio is 1: 4 is produced with its model no. 2K-H.
In experimental and analysis, install the planetary gear system onto a medical dental low speed handpiece which is commercially available. The measuring instruments including: digital thermometer to measure the temperature, programmable sound level meter to measure noise, and spectrum analyzer to measure the vibration data.

RESULTS AND DISCUSSION
As the result of the experimental work, accuracy class will be the most important parameters affecting the quality of the gear system. When the gear accuracy class upgrade from 4 to 2, it can reduce the temperature rise 4℃, reducing the noise 8 dBA, and reducing the vibration quantity 2 Grms. The performance of profile shifting coefficient of gear is better than that of no profile shifting coefficient of gear, reducing the noise 2 dBA, reducing the vibration quantity 0.75 Grms, but for temperature rise is no big difference. As the gear backlash from 0.01 ~ 0.02mm is enlarged to 0.02 ~ 0.03mm, lubricating effect becomes better, and temperature rise can be reduced 1.4 ℃, because the gear backlash increased; however, the noise increased to 2.8dBA and vibration quantity increased to 0.24 Grms.

CONCLUSIONS
The design software of MITcalc a planetary gear system is successfully used in the small-module gear system design with a satisfactory performance. It can be made conformable to the medical regulations requirements of ISO 14457. As one needs a high quality planetary gear system, it can be upgraded by raise the accuracy class. When one needs a low noise and low vibration planetary gear system, it can be set profile shifting coefficient and decrease backlash of gear. And as you need to reduce the temperature rise of the planetary gear, it can be appropriately enlarged gear backlash.
論文目次 摘要 I
ABSTRACT II
誌謝 IV
目錄 V
表目錄 VIII
圖目錄 IX
符號說明 XII
第一章 緒論 1
1-1 研究動機與目的 1
1-2 文獻回顧 1
1-3 論文架構 2
第二章 行星齒輪系之理論基礎 4
2-1 行星齒輪系架構 4
2-2 組裝限制條件與轉速比 5
2-2-1 組裝限制條件 5
2-2-2 轉速比 8
2-3 齒輪精度 9
2-3-1 齒形精度 10
2-3-2 齒線精度 10
2-3-3 節距精度 11
2-3-4 各國精度對照 12
2-4 齒隙 13
2-4-1 正齒輪的齒隙 14
2-4-2 齒厚與齒隙 15
2-4-3 減小齒隙的方法 16
2-5 轉位係數 17
2-5-1 何謂轉位係數與目的 18
2-5-2 正齒輪的轉位 20
2-5-3 環齒輪的轉位 22
第三章 行星齒輪系設計與3D模型之建立 24
3-1 設計定義與法規規範 24
3-1-1 行星齒輪系的設計規格說明 24
3-1-2 行星齒輪系的性能與規範 25
3-2 齒輪參數設計軟體MITCalc 計算 25
3-3 電腦輔助設計軟體 SolidWorks 建模 36
3-3-1 行星輪系相關零組件介紹 36
3-3-2 行星齒輪系統說明 38
第四章 樣品實驗與分析 39
4-1 實驗流程 39
4-2 實驗設備 41
4-3 實驗與分析 45
4-3-1 溫升測試實驗 46
4-3-2 噪音測試實驗 49
4-3-3 頻譜測試實驗 52
4-4 設計驗證結果 58
第五章 結論與未來展望 59
5-1 結論 59
5-2 未來展望 60
參考文獻 61

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