面齿轮副啮合强度的简化计算  

SIMPLIFIED CALCULATION OF MESHING STRENGTH OF FACE GEAR PAIR

作　　者：何飞 钱卫香[1] 付学中 彭先龙[1] HE Fei;QIAN WeiXiang;FU XueZhong;PENG XianLong(School of Mechanical Engineering,Xi′an University of Science and Technology,Xi′an 710054,China;School of Mechanical and Automotive Engineering,Guangxi University of Science and Technology,Liuzhou 545616,China)

机构地区：[1]西安科技大学机械工程学院,西安710054 [2]广西科技大学机械与汽车工程学院,柳州545616

出　　处：《机械强度》2023年第5期1192-1198,共7页Journal of Mechanical Strength

基　　金：国家自然科学基金项目(52265006);陕西省自然科学基础研究计划项目(2020JM-521)资助。

摘　　要：为便于面齿轮初始设计阶段基本参数的选取,简化面齿轮副啮合强度的求解过程。参考已有的标准直齿圆柱齿轮强度计算公式建立了面齿轮全齿高的接触应力和弯曲应力解析计算模型。通过齿轮基本参数求解的齿面曲率,结合赫兹接触理论求解齿面接触应力。应用30°切线法确定轮齿危险截面处齿厚,进而给出基于齿轮副基本参数表达的应力计算系数表,最终推导出齿根弯曲应力解析计算模型。以某一设计参数的面齿轮副为例,把通过解析计算模型得到的结果与有限元仿真计算结果进行对比分析,验证了模型的准确性。并在此基础上给出可通过齿轮副基本参数求解的面齿轮强度简化计算公式。In order to facilitate the selection of basic parameters in the initial design stage of face gear,and simplify the process of solving meshing strength of face gear pair.By referring to the existing strength calculation formula of the standard spur gear,the analytical calculation models of contact stress and bending stress of full tooth height of face gear were established.The curvature of tooth surface was solved by the basic parameters of the gear,and the contact stress of tooth surface was solved by the Hertz contact theory.The tooth thickness at the dangerous section of gear teeth was determined by the 30°tangent method,and the stress calculation coefficient table was given based on the expression of basic parameters of gear pair,finally,the analytical calculation formula of tooth root bending stress was deduced.Taking face gear pair with a certain design parameter as an example,the results obtained from the analytical calculation models were compared with those from the finite element simulation to verify the accuracy of models.On this basis,a simplified formula for calculating the strength of face gear was given which can be directly solved by the basic parameters of gear.

关 键 词：面齿轮 接触应力 弯曲应力 有限元 

分 类 号：TH132.4[机械工程—机械制造及自动化]