多模数ZI蜗杆斜齿轮传动设计与有限元分析及其应力预测  

DESIGN AND FINITE ELEMENT ANALYSIS OF MULTI⁃MODULE ZI WORM HELICAL GEAR TRANSMISSION AND ITS STRESS PREDICTION

作　　者：金承珂 孙小肖 黄嘉昕 JIN ChengKe;SUN XiaoXiao;HUANG JiaXin(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)

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

出　　处：《机械强度》2024年第2期453-460,共8页Journal of Mechanical Strength

基　　金：国家自然科学基金(52105191);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(202111276009Z,202211276028Z)资助。

摘　　要：为解决传统渐开线蜗杆斜齿轮副在开式传动或传动比过大时斜齿轮容易发生齿根断裂的情况,提出一种新型的基于不等模数不等压力角设计的渐开线蜗杆副,使斜齿轮的模数与压力角同时提高,大幅提高斜齿轮的齿根强度。通过对此种蜗杆副的传动特性的分析,得到特殊的啮合角与中心距计算方式。另外,通过对同传动比、同蜗杆情况下基于不等模数设计的ZI蜗杆斜齿轮副和传统ZI蜗杆斜齿轮副的建模与有限元分析,得出在较大模数比情况下的斜齿轮齿根强度约为传统斜齿轮齿根强度的2.956倍,增大了渐开线蜗杆的应用范围。后续使用灰色预测,对比出误差平方和(Sum of Squared Errors,SSE)最小模型,予以验证预测的准确性,另外进行蜗杆施加不同转矩下的斜齿轮啮合齿受拉力处最大应力σ_(1max)的数据预测,为相应的工程分析与必要的校核设计给出了依据。In order to solve the problem that the traditional involute worm helical gear is prone to root fracture when the transmission ratio is too large,a new involute worm pair based on unequal modulus and pressure angle is put forward,which can increase the modulus and pressure angle of the helical gear at the same time and greatly improve the root strength of the helical gear.By analyzing the transmission characteristics of this kind of worm pair,a special calculating method of meshing angle and center distance is obtained.In addition,through the modeling and finite element analysis of ZI worm helical gear pair and traditional ZI worm helical gear pair designed based on unequal modulus in the same transmission ratio and worm,it is found that the root strength of helical gear in the case of large modulus ratio is about 2.956 times that of traditional helical gear,which increases the application range of involute worm.The sum of squared errors(SSE)minimum model is compared with grey predictionto verify the accuracy of prediction.The maximum stressσ1max of helical gear meshing teeth under different torques is predicted,which provides a basis for corresponding engineering analysis and necessary checking design.

关 键 词：圆柱蜗杆斜齿轮传动 不等模数 不等压力角 有限元分析 灰色预测 

分 类 号：TH132.413[机械工程—机械制造及自动化]