齒輪磨齒機蝸桿砂輪重磨加工齒面精度研究

The Study on the Precision of Tooth Profile Ground by Regrinding Worm on the Gear Grinding Machine

吳建勲(Jian-Syun Wu)

指導教授 ： 馮展華

國立中正大學/工學院/機械工程學系/碩士(2015年)

摘要

齒輪在機械產業經常被使用，因高精密機械的需求下，齒輪的齒面精度要求相對增加，大多使用磨削方式提高齒輪精度。齒輪磨削方式可分為成型式與創成式，創成式齒輪磨削以蝸桿砂輪磨齒，具有高效率、高精度的優點，適合大量生產與模數小的齒輪研磨，常用於車輛的傳動齒輪，但有模數和加工深度的限制，大多使用圓盤式修砂器重磨蝸桿砂輪，因蝸桿砂輪多次磨削加工後，加工精度降低，需透過重磨砂輪，確保齒面加工精度。
本研究使用矩陣運算模擬西門子電子齒輪箱(EGB)的多軸同動功能，建立模擬磨齒機同動加工運動矩陣與加工運動軌跡，並使用齒輪原理以雙主軸嚙合方程式取得磨削加工齒面，並透過齒面拓樸方法表達三維齒面的法向誤差。本文利用模擬磨齒機磨削加工，將數學式用於設計蝸桿砂輪參數及修砂器輪廓線…等，在容許精度內簡化易於製造修砂器齒形輪廓線，增加砂輪的磨削範圍，降低磨削加工的成本。透過敏感度分析方法，探討齒輪磨齒機與修砂系統的裝配設定位置與多軸同動對磨削加工齒面的影響，並分析各軸誤差對齒面精度影響。

關鍵字:創成式磨齒、蝸桿砂輪、修砂器

關鍵字

修砂器 ； 創成式磨齒 ； 蝸桿砂輪

並列摘要

Gear is quite often used in mechanical industry. With highly demand of high precision machine, the need of improving flank accuracy of gear also increase relatively. Grinding is the most commonly used method for improving gear accuracy which can be divided into gear-form grinding method and gear-generating grinding method. The worm grinding wheel of gear-generating grinding method has the advantage of high efficiency and high accuracy which is suitable for mass production and small module’s gear grinding. The worm grinding wheel is commonly used in driving gear of vehicles, but with limitation of module and working depth. Dial type dresser are mostly applied to regrinding worm grinding wheel; however, after repeatedly processing grinding, the machining precision would decrease. Therefore, grinding wheel needs to be regrinding to ensure flank machining precision.
This paper aims at using matrix to simulate multi-axis of SIEMENS’ EGB to construct Motion Matrixand the processing path. In addition, this paper use dual- spindles’ meshing equation of gear theory to gain grinding flank, and expressing the normal error of dimension through flank topographic. This paper utilizes gear grinding machine to simulate grinding, applying mathematical expression to design worm wheel parameter and dresser profile etc. Simplifying manufacturing process under acceptable precision is easier to produce the profile of dresser, it can helps to increase the range of grinding and decrease the cost of grinding. Through sensitivity analysis method, this paper discussed the installed position of gear grinding machine and dresser system, and the multi-axis’ impact on grinding flank. This paper also analyzed the impact toward flank accuracy from error of each direction.

Keywrods: generating gear grinding,grinding worm,dresser

並列關鍵字

grinding worm ； generating gear grinding ； dresser

參考文獻

[2] F. L. Litvin, J.Zhang, and R. F. Handschuh, “Crowned Spur Gear: Methods For Generation and Tooth Contact Analysis－Part2: Generation Of The Pinion Tooth Surface By A surface Of Revolution,” ASME Journal of Mechanisms, Transmissions and Automation in Design Vol. 110(3), pp. 343-347, 1988.

[3] F. L. Litvin, and A. Fuentes, I. Gonzalez-Perez, L. Carvenali, K. Kawasaki, and R.F. Handschuh, “Modified Involute Helical Gears: Computerized Design, Simulation of Meshing and Stress Analysis,” Comput. Methods Appl. Mech. Engrg., Vol. 192, pp. 3619-3655, 2003.

[4] K. Mao, “Gear Tooth Contact Analysis and Its Application in the reduction of Fatigue Wear,” Wear, Vol. 262, pp. 1281-1288, 2007.

[5] M. Umeyama, “Effects of Surface Modification on the Transmission Error of a Helical Gear Pair and its Optimization,” 日本機械學會論文集(C編) 61卷582號, pp.8-15, 1995.

[6] Y. Iwase, and K. Miyasaka, “Proposal of Modified Tooth Surface with Minimized Transmission Error of Helical Gear,” JSAE Journal Review 7, pp.191-212, 1996.