錐形內齒輪對之齒印模擬與接觸應力分析

本研究以Visual Basic程式語言搭配SolidWorks API函式庫，建立齒輪切削模擬系統，此系統可外部連接控制CAD軟體SolidWorks，於CAD環境中控制刀具與齒胚間之相對運動關係，進而模擬齒輪之切削創製過程。利用此一系統可得到以齒條刀創成之錐形小齒輪以及由刨齒刀所創成之錐形內齒輪三維模型。本文所探討之錐形內齒輪對乃是由錐形小齒輪與錐形內齒輪所組成，錐形內齒輪有高接觸比、背隙可調整、組裝誤差敏感度較低等優點，此一齒輪對除了具有一般內齒輪對之優點外，由於具有推拔(Taper)狀之齒厚，齒輪對可在不影響中心距之情形下，藉由調整嚙合齒輪的軸向位置以改變齒輪對在嚙合時之背隙(Backlash)，使其背隙控制在一合理的範圍之內。本文針對錐形內齒輪對進行接觸齒印模擬，並探討不同之齒輪設計參數對於錐形內齒輪對接觸齒印大小之影響。此外，並利用有限元素分析軟體ABAQUS進行錐形內齒輪對之有限元素應力分析，使接觸齒印模擬以及有限元素應力分析之結果可相互印證。

關鍵字

錐形內齒輪對；應力分析； API

並列摘要

In the study, simulation system of gear cutting is developed by visual basic and SolidWorks API.This system can simulate the generation process of three-dimensional CAD models of gear by comtroling proper relative motion relationship between cutter and gear blank in SolidWorks.Thus,the 3D models of conical internal gears cut by shapers and conical pinions cut by hobs can be obtained.The internal conical gear pair investigated in this study is composed of a conical internal gear and a conical pinion.In addition to retain the advantages of the conventional internal gear pair, the backlash of a conical internal gear pair can be easily controlled by axial adjustments without affecting its center distance owing to its tapered tooth thickness. The contact pattern are simulated in this study,and the effects of design parameters on the dimensions of contact pattern are studied.Otherwise finite element analysis of internal conical gear pair is proceeded by commercial FEA package, ABAQUS.The results of the finite element stress analysis and contact pattern simulation can be verified mutually.