具修整齒形之齒輪刮削模擬與接觸分析

Simulation of Gear Shaving with Tooth Profile Modification and the Tooth Contact Analysis

金凱威(Kai-Wei Jin)

國立虎尾科技大學/工程學院/機械與機電工程研究所/碩士(2007年)

摘要

齒輪之精加工現今多利用CNC刮齒機來製造，本研究首先利用齒條刀來創生一刮齒刀，繼而利用刮齒刀創生齒輪，以模擬齒輪進行精加工之刮齒程序。
本研究根據Litvin所提出之拋物線形齒條刀，推導出一修整齒形刮齒刀之齒面數學模式，並模擬刮齒機台運動以創生出具雙向鼓形修整的齒輪齒面數學模式，所得之結果與僅具導程修整之齒輪齒面數學模式，在理想裝配與刀具裝配誤差下進行接觸分析、接觸齒印與傳動誤差分析進行比較。最後以田口實驗法找出同時具齒輪裝配誤差、刀具裝配誤差及機台參數影響下傳動誤差的最佳組合。本文之成果可做為研究刮齒機運動與齒輪運轉特性的重要依據，並提供後續刮齒應力分析的參考。

並列摘要

Gear shaving is the most important refinement method to manufacture the helical and spur gears by the CNC shaving machine. In this thesis, the rack cutter is used to generate a shaving cutter firstly, the shaving cutter is then used for the generation of gears.
The rack cutter with modified profile proposed by Professor Litvin is used to derive the mathematical model of shaving cutter. The shaving process is then simulated according to the shaving machine to generate the gear tooth surface with double crowning. The TCA of two types of tooth surfaces, i.e., double crowning and crowning in longitudinal direction only, are investigated in this research.
Taguchi method is used to find out the optimum combination of parameters in different conditions of assembly. The results of this thesis provide important informations for the study on the shaving machine and characteristics of gears. It also provides the reference for the stress analysis of shaved gears.

參考文獻

[8]Miao, H. C. and Koga, H., “Design and Analysis of Plunge Shaving for Finishing Gears with Tooth Profile Modifications”, ASME, Power Transmission and Gearing Conference, DE-Vol. 88, pp275-281, 1996.

[10]Kim, J. D. and Kim, D. S., “The Development of Software for Shaving Cutter Design”, Jourmal of Materials Processing Technology, Vol. 59, pp. 359-366, 1996.

[11]Moriwaki, I., Okamoto, T., Fujita, M., and Yanagimoto, T., “Numerical Analysis of Tooth Forms of Shaved Gears” , JSME Interational Jourmal Series III, Vol. 33, No. 4, pp. 608-613, 1990.

[13]Chang, S. L., Tsay, C. B., and Nagata, S., “A General Mathematical Model for Gears Cut by CNC Hobbing Machines”, ASME Journal of Mechanical Design, Vol. 119, No. 1, pp.108-113, 1997

[14]林宏政，“刮齒機刮削模擬與齒形接觸分析”，國立虎尾科技大學碩士論文，2006年7月。