可調背隙式蝸桿蝸輪組之特性研究

蝸桿和蝸輪組可藉由調整背隙補償長時間使用後的磨損。本論文研究如何設計砂輪，並使用此砂輪研磨ZE型的蝸桿。蝸輪則由增徑直邊滾齒刀所創成，此滾齒刀之直徑須大於蝸桿。本文亦開發電腦計算程式，計算與模擬砂輪和蝸桿蝸輪組之截面的數學模型，並提出一個能減少背隙的新穎設備。齒面接觸分析常被用於計算補償蝸輪組的背隙值，也可模擬所設計的蝸輪組參數。本文利用齒面接觸分析，針對提出之新穎機構進行齒面接觸分析、間隙調整及蝸輪組運動誤差等之分析。

關鍵字

蝸輪；齒隙；齒面接觸分析；砂輪；增徑型滾刀

並列摘要

Backlash adjustment can compensate for the wearing phenomenon of worm and worm gear tooth after the worm gear set has worked for a long time. The tooth profile of grinding wheel designed to cut the ZE-type worm is investigated. The worm and worm gear are derived based on the straight edged cutter generation and oversize worm type hob cutter generation correspondently. Computer programs are developed for calculating and simulating the mathematical model and cross-section of grinding wheel and worm-worm gear set. A novel apparatus for decreasing backlash is proposed. The tooth contact analysis of the novel worm gear set used to compensate the backlash is also simulated following the designing parameters of worm gear set and the adjusting parameters. Numerical examples are calculated to present the models, tooth contact analysis, backlash adjustments, new apparatus and kinematical errors of the worm gear set.

並列關鍵字

worm gear ； backlash ； tooth contact analysis ； grinding wheel ； oversize hob cutter

參考文獻

[3] Earle. B. and Henry. H. R., Design of worm and spiral gears, Buckingham Associates, INC. Parker Hill, Springfield, VT. 05156.

[5] Tsay. C. B., Jeng. J. W. and Feng. H. S., A mathematical model of the ZE-type worm gear set, Mech. Mach. Theory Vol. 30, No. 6, pp. 777-789, 1995.

[6] Fang. H. S. and Tsay. C. B., Mathematical model and bearing contacts of the ZN-type worm gear set cut by oversize hob cutters, Mechanism and Machine Theory 35 (2000) 1689 – 1708.

[7] Chen. K. Y. and Tsay. C. B., Mathematical model and worm wheel tooth working surfaces of the ZN-type hourglass worm gear set, Mechanism and Machine Theory 44 (2009) 1701-1712.

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可調背隙式蝸桿蝸輪組之特性研究

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