高重合度外啮合齿轮齿根弯曲应力计算方法  

Calculation method of external meshed gear tooth root bending stress of high contact ratio gear

作　　者：李发家[1] 朱如鹏[2] 李苗苗[2] 鲍和云[2] 靳广虎[2] LI Fa-jia ZHU Ru-peng LI Miao-miao BAO He-yun JIN Guang-hu(School of Mechanical Engineering, University of Jinan, Jinan 250022, China College of Mechanical and Electrical Nanjing University of Aeronautics and Astronautics, Engineering, Nanjing 210016, China)

机构地区：[1]济南大学机械工程学院,济南250022 [2]南京航空航天大学机电学院,南京210016

出　　处：《航空动力学报》2017年第1期138-147,共10页Journal of Aerospace Power

基　　金：国家自然科学基金(51475226;51305196)

摘　　要：针对高重合度外啮合直齿圆柱齿轮副,对其齿根弯曲应力计算方法进行了研究.计算了高重合度齿轮的轮齿变形和刚度,对单个轮齿承受的载荷进行了研究,给出了高重合度齿轮齿间载荷分配率的定义和计算方法.以高重合度齿轮的双齿啮合界点作为计算载荷的加载点,给出了高重合度齿轮齿根过渡曲线30°切线位置危险截面的双齿啮合区界点的齿形系数和应力集中系数计算方法,获得了齿根危险截面弯曲应力的计算公式;采用CL-100齿轮试验机,设计了不同重合度的外啮合齿轮副,测量了其齿根的弯曲应力数值,试验结果表明:在高载荷下主动轮的齿根弯曲应力理论计算误差小于7.85%,从动轮的计算误差小于9.8%;低载荷下主动轮的齿根弯曲应力理论计算误差小于24.1%,从动轮的计算误差小于19%.The tooth root bending stress calculation method of high contact ratio spur gear pair was studied.The gear tooth deformation and stiffness calculation of high contact ratio gear and load of single tooth were studied.The definition of load sharing ratio and the calculation method of high contact ratio gear tooth were given.The meshing point of high contact ratio gear pair with double teeth was taken as the point of computational load.The calculation method of tooth shape coefficient and stress concentration coefficient of double toothed meshing zone boundary of the dangerous section that located on position of high contact ratio gear tooth root’s 30 degree transition curve were given.Calculation formulas of tooth root bending stress of the dangerous section was obtained.External gear pair with different contact ratios were designed,and the tooth root bending stress was tested by CL-100 gear test machine.The test result show that,under high load,the tooth root bending stress theoretical calculation error of active gear is less than 7.85%,and the driven gear is less than9.8%.Under low load,the tooth root bending stress theoretical calculation error of activegear is less than 24.1%,and the driven gear is less than 19%.

关 键 词：高重合度齿轮 轮齿变形 齿形系数 弯曲应力 齿间载荷分配率 

分 类 号：V233.1[航空宇航科学与技术—航空宇航推进理论与工程] TH113.1[机械工程—机械设计及理论]