高減速比行星齒輪系之系統化設計

On the systematic design of planetary gear trains with high reduction ratio

吳宗蔚(Tsung-Well Wu)

指導教授 ： 謝龍昌

國立虎尾科技大學/工程學院/機械與機電工程研究所/碩士(2008年)

摘要

減速機是一種傳達動力的機構裝置，因具備降低輸出轉速和產生高於馬達輸出軸扭矩的兩個主要功能，常與引擎、馬達作組合搭配，廣泛使用於自動化生產設備、工具機、電動載具以及電動手工具等需要高扭矩低轉速的應用場合。

行星齒輪系具有質量輕、體積小、多自由度、結構緊湊、負載能力高、傳動比大等特色，廣泛的被運用在各式各樣的傳動機構中(如變速齒輪箱、自動變速機、差速器和其他特殊用途等)，本研究之高減速比機構即是由行星齒輪系所構成。

本研究之目地，在於提出一套高減速比行星齒輪系的系統化設計程序，藉由此設計程序設計出具高減速比的行星齒輪系。首先根據行星齒輪系的輪系方程式與行星齒輪系耦合理論，推導出所有自由度為一之行星齒輪系的減速比方程式；接著根據這些減速比方程式，進行高減速比行星齒輪系機構的運動設計，設計出符合運動需求的本體，共完成三個高減速比行星齒輪系機構設計；隨後跟據相對功理論，分析此高減速比行星齒輪系機構之齒輪傳動效率；最後進行高減速比行星齒輪系機構之工程設計與產品開發，完成一個高減速比行星齒輪系機構原型製作(機制)及完成兩個高減速比行星齒輪系機構原型製作(RP制)。

關鍵字

耦合理論、運動設計、相對功理論、行星齒輪系、輪系方程式

並列摘要

Gear reducers are mechanical devices for transferring power to do works. Due to their characteristics of lower output speed and higher output torque than input shaft, they are often used with engines or motors and wildly used in automated production equipment, transmission systems, machine tools, electric vehicles, electric hand tools, and other needs of high-torque low-speed applications.
Due to the reasons of compact size, lightweight, and multi-degrees of freedom, high load capacity, high reduction ratio, planetary gear trains are commonly used in various transmissions(Such as multi-speed gear box, automotive transmissions, and gear differentials, etc.). Due to above reasons, planetary gear trains can be used as the transmission systems with high reduction ratio for power machinery.
The purpose of this paper is to propose a systematic approach for designing planetary gear trains with high reduction ratio. First, according to the train value equation and coupling theorem of planetary gear trains, we derive the reduction ratio equations for all possible coupling cases. Then, based on these reduction ratio equations, we accomplish the kinematic design of planetary gear trains with high reduction ratio and get three planetary gear trains with high reduction ratio. According to the latent power theorem, we do analyze the mechanical efficiencies of these planetary gear trains with high reduction ratio. Finally, the prototypes of planetary gear trains with high reduction ratio are produced include one machined mockup and two rapid prototypes.

並列關鍵字

Coupling theorem, kinematic design, latent power theorem, planetary gear trains, train value equation

參考文獻

1. Johnson, R. C. and Towfigh, K., 1967, “Creative Design of Epicyclic Gear Trains Using Number Synthesis,” ASME Transactions, Journal of Engineering for Industry, Vol.189, pp. 309-314.

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3. Freufensteine, F., 1971, “An Application of Boolean Algebra to the Motion of Planetary Drives,” ASME Transactiona, Journal of Engineering for Industry, Vol.93, pp.176-182.

4. Yan, H.S. and Hsieh, L.C.,1989, “Concepet Design of Planetary Gear Trains for Iinfinitely Variable Transmissions,” International Conference On Engineering Design, August 22-25, pp,757-756.

5. Yan, H.S. and Hsieh L.C., 1994, “Conceptual Design of Gear Differentials for Automotive Vehicles,” ASME Transactions, Journal of Mechanical Design, Vol.116, pp.565-570.