不等模数渐开线齿轮副参数极限值与有限元分析  

PARAMETER LIMIT AND FINITE ELEMENT ANALYSIS OF UNEQUAL MODULUS INVOLUTE GEAR PAIR

作　　者：金承珂 黄嘉昕 朱辰泽 孙小肖 尹越 JIN ChengKe;HUANG JiaXin;ZHU ChenZe;SUN XiaoXiao;YIN Yue(Industrial Center/School of Innovation and Entrepreneurship,Nanjing Institute of Technology,Nanjing 211167,China;School of Mechanical Engineering,Nanjing Institute of Technology,Nanjing 211167,China;Nanjing Special Equipment Inspection Institute,Nanjing 210002,China)

机构地区：[1]南京工程学院工业中心、创新创业学院,南京211167 [2]南京工程学院机械工程学院,南京211167 [3]南京市特种设备安全监督检验研究院,南京210002

出　　处：《机械强度》2024年第3期662-667,共6页Journal of Mechanical Strength

基　　金：国家自然科学基金(5210052257);江苏省教育厅高校哲学社会科学研究项目(2022SJYB0445);南京工程学院引进人才基金项目(YKJ201950);国家级大学生创新创业训练计划支持项目(202211276028Z)资助。

摘　　要：为了解决常规变位齿轮对中心距调节及强度分配的局限性,提出利用基圆节距相同但模数不等的结构,大幅度提高齿轮传动中较小齿轮的强度,尤其是齿根强度。但用于工程实践中的模数与齿形角相差均较小,通过对渐开线齿面的形成原理及齿轮啮合中部分参数的分析,得到了此种齿轮模数、齿数、齿形角、齿高系数等参数的限制条件,并通过公式推导了齿数、齿高系数与分度圆压力角极限值的关系式。基于工程实践情况建模并通过Ansys进行了有限元分析,得到基于极限参数设计的齿轮强度约为标准齿轮的2.66倍,验证了理论的可行性,并扩大了此种齿轮副的应用范围。In order to solve the limitation of center distance adjustment and strength distribution of conventional gear,a structure with the same base pitch but different modulus was proposed to greatly improve the strength of small gears in gear transmission,especially the strength of the tooth root.But used in the engineering practice in modulus differ with tooth profile angle are smaller,the formation principle of involute gear tooth surface and the gear meshing analysis of some parameters,got this kind of gear modulus,tooth number,tooth shape parameters such as coefficient of angle,depth of constraints,and through the formula deduction coefficient of the teeth,the tooth depth and the relation between the dividing circle pressure angle limit value.Based on the modeling of engineering practice and the finite element analysis through Ansys,the gear strength designed based on the limit parameters is about 2.66 times of the standard gear,which verifies the feasibility of the theory and expands the application range of this gear pair.

关 键 词：渐开线齿轮 不等模数 不等压力角 无侧隙传动 有限元分析 

分 类 号：TH132.413[机械工程—机械制造及自动化]