变半径齿根圆角锥齿轮几何建模与疲劳强度仿真分析  

Geometric Modeling and Fatigue Strength Simulation of Bevel Gears withVariable Radius Tooth Root

作　　者：曾昊晗 孙会明 王陶[1] 王良模[1] 夏汉关[2] 董义[2] Zeng Haohan;Sun Huiming;Wang Tao;Wang Liangmo;Xia Hanguan;Dong Yi(School of Mechanical Engineering,Nanjing University of Science&Technology,Nanjing 210094,China;Jiangsu Pacific Precision Forging Co.,Ltd.,Jiangyan 225500,China)

机构地区：[1]南京理工大学机械工程学院,江苏南京210094 [2]江苏太平洋精锻科技股份有限公司,江苏姜堰225500

出　　处：《机械传动》2022年第8期61-66,99,共7页Journal of Mechanical Transmission

基　　金：国家科技重大专项(2018ZX04024001-005);江苏省自然科学基金(BK20190462);中央高校基本科研业务费专项资金(30919011203)。

摘　　要：针对直齿锥齿轮的齿根大多采用0.3倍模数的定半径圆角过渡,容易造成齿根弯曲应力偏大、锥齿轮使用寿命降低等问题,提出了一种变半径齿根圆角锥齿轮的设计方法。建立了标准齿根圆锥下的变半径齿根圆角一般方程;基于某电动汽车差速器定半径非标行星齿轮,推导出不同齿根圆锥下的齿根变半径圆角的一般方程,对非标行星齿轮进行了优化设计。通过有限元动力学和疲劳寿命仿真分析得知,变半径齿根圆角相较于半径最大的定半径圆角,锥齿轮平均齿根弯曲应力减小了10.8%、疲劳损伤降低了6.6%。所提出的设计方法提升了锥齿轮力学性能和疲劳寿命。Aiming at the problem that most of the teeth root of straight bevel gears adopt fixed radius fillet transition with 0.3 times of modulus,which tends to to cause large bending stress on the tooth root and reduce the service life of bevel gears,a design method of variable radius tooth root fillet bevel gears is proposed.The general equation of the variable radius tooth root fillet under the standard tooth root bevel is established.Based on the fixed-radius non-standard planetary gear of an electric vehicle differential,the general equation of tooth root variable-radius fillet under different tooth root cones is derived,and the variable-radius non-standard planetary gear is optimally designed.Through finite element dynamics and fatigue life simulation analysis,it is concluded that the average tooth root bending stress of the bevel gear is reduced by 10.8%and the fatigue damage is re⁃duced by 6.6%for the variable radius tooth root fillet compared with the fixed radius fillet with the largest radius.Therefore,the proposed design method improves the mechanical performance and fatigue life of the bevel gear.

关 键 词：变半径齿根圆角 直齿锥齿轮 球面渐开线 弯曲应力 疲劳寿命 

分 类 号：TH132.41[机械工程—机械制造及自动化]