以互補型盤狀圓弧刀具創成之曲線齒齒輪有限元素應力分析

Finite Element Stress Analysis of a Circular-Arc Curvilinear-Tooth Gear Set Generated by Complementary Circular-Arc Disk-Type Cutters

李致緯(Zhi-uei Li)

指導教授 ： 陳怡呈

國立中央大學/工學院/機械工程學系/碩士(2012年)

摘要

本文主要探討由互補型盤狀圓弧刀具所創成之互補型圓弧曲線齒齒輪的有限元素應力分析。首先，推導互補型圓弧曲線齒齒輪的數學模式，進而利用假想齒條刀配合創成機構推導互補型曲線齒齒輪的齒面數學模式。接著進行互補型曲線齒齒輪之齒面接觸分析，探討刀具參數與組裝誤差對傳動誤差的影響。互補型圓弧曲線齒齒輪是線接觸，且對組裝誤差相當敏感，使用有限元素分析軟體ABAQUS進行互補型圓弧曲線齒齒輪五對接觸齒之應力分析，再將同樣是線接觸型態之正齒輪有限元素分析結果比對，
此外，將互補型圓弧曲線齒齒輪由線接觸修整為點接觸，並利用齒面接觸分析探討傳動誤差和接觸齒印，並探討有限元素應力分析。
最後利用單齒腹測試機針對互補型圓弧曲線齒齒輪和近似線接觸互補型圓弧曲線齒齒輪進行接觸齒印實驗，並與齒面接觸分析和有限元素分析結果互相驗證比對。

關鍵字

彎矩應力 ； 互補型圓弧曲線齒齒輪 ； AGMA 2001-C95 ； 有限元素分析

並列摘要

This paper focuses on finite element stress analysis of a complementary circular-arc curvilinear gear set. Firstly, the mathematical model of the complementary circular-arc curvilinear gear set was developed based on the theory of gearing. Tooth contact analysis (TCA) is performed to study the influences of gear design parameters and assembly errors on the transmission error. The original complementary circular-arc curvilinear gear is in line-contact and is sensitive to assembly errors. A commercial finite element analysis (FEA) package, ABAQUS, was utilized to perform stress analysis of five contact teeth pair, and the bending stress of complementary circular-arc curvilinear gear was compared with that of conventional spur gears.
In addition, a method of tooth modification was proposed in this thesis to introduce point contact in a modified complementary circular-arc curvilinear gear set. Tooth contact analysis and FEA were utilized to investigate the transmission error, contact pattern and bending stress of the proposed modified complementary circular-arc curvilinear gear set.
Finally, experimental contact patterns of both original and modified complementary circular-arc curvilinear gear sets were also performed on a single flank testing machine to verify the results from TCA and FEA.

並列關鍵字

complementary circular-arc curvilinear-tooth gea ； root bending stress ； finite element analysis ； AGMA standard

參考文獻

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