移位齒輪工程應用設計與分析

本文主要目的是分析移位正齒輪的齒根強度，改善齒輪之強度，以及防止齒根過切，並且探討齒條刀具圓弧半徑對齒形的影響。根據漸開線齒輪之齒條創成加工與位置向量轉換原理，建立出齒廓方程式，再利用刀具幾何外形之關係，推導出刀具之圓角半徑，並利用Microsoft Visual Basic 6.0 電腦應用軟體，開發設計出使用者輸入參數介面與齒廓點群資料輸出，再將運算之齒廓點群坐標匯出為點群資料檔，且利用CATIA軟體，匯入點群資料檔，建立出齒輪實體進行齒形強度分析。以風力發電機之大型齒輪，和窗簾收繩機構小型過切之齒輪為例。在大型齒輪作正移位係數0.5後，其齒根應力下降了25%，剛性則增強了7.85%，小型齒輪則由公式計算出不發生過切之最小移位係數0.24，其齒根應力下降了21.3%，剛性增強了10%，且不產生過切，證明出齒輪在作移位後，對齒數少的齒輪齒輪強度與齒形的變化要比大齒數的齒輪要來的多，完成移位齒輪設計研究分析，提供給製造者更進一步對移位齒輪之瞭解。

關鍵字

移位齒輪；漸開線齒輪；創成法；位置向量轉換法

並列摘要

This paper aims to analyze the shifts gears strength on dedendum. Improve strength of gears and to prevent undercut, and investigate the effects of rack cutter radius on gear tooth. According to rack generation and coordinate transformations principle, established equation of gear profile. Using the rack cutter for geometric relations deduced radius of cutter, and use Microsoft Visual Basic 6.0 and CATIA software to obtain the gear solid model geometry. Wind generators with large gears, and curtains closing rope agency has undercut the small gear as an example. In a large gears as the coefficient of profile shift 0.5, its dedendum stress decreased by 25% and the rigidity is enhanced 7.85%. In a small gear,when the coefficient of profile shift 0.24 does not produce undercutting, its dedendum stress decreased by 21.3% and the rigidity is enhanced 10%. After proof gear for shifting gears on a small number of teeth, changes in intensity than the large number of teeth and more. Design of gear shift to complete analysis available to manufacturers to further the understanding of the shift gears.