渐开线齿轮齿根曲率半径对齿根应力的影响  

The Effect of Tooth Root Transition Curve for Involute Gears on Root Stress

作　　者：贺静[1] 张志强[1] 唐勇[1] 夏尊凤[1] 

机构地区：[1]长沙大学机电工程系,长沙410003

出　　处：《机械设计与研究》2007年第3期74-78,共5页Machine Design And Research

基　　金：湖南省教育厅资助科研项目(06C168)

摘　　要：基于任意转角位置的渐开线齿轮齿廓数学模型,构建了齿根任一点局部应力的折截面法计算数学模型,提出了渐开线齿轮齿根过渡曲线曲率半径的计算公式,并验证了曲率半径计算公式的准确性,应用齿根应力计算数学模型分析讨论了不同参数条件下曲率半径对齿根应力的影响。其分析结果将为渐开线齿轮设计、参数优化选择等提供参考数据,同时为齿根应力数值分析提供了新的数学模型。Based on the mathematical model of of involute gear tooth profile at any rotary angle, the stress calculation mathematical model of any point on the root by broken-line section method were constructed, the calculateing formula were putted forward for the curvature radius of involute gear transition curve, and the accuracy of the formula for curvature radius is validated. Using the stress calculation mathematical model, the influence of curvature radius on root stress with different parameter were analyzed and discussed . The result will offer reference data for design of involute gear and optimization of parameter choice, and also new mathematical model for numerical analysis on root stress.

关 键 词：渐开线齿轮 曲率半径 齿根应力 

分 类 号：TH132[机械工程—机械制造及自动化]