平面二次包络环面蜗杆传动强度计算  

Strength Calculation of Planar Double-Enveloping Hourglass Worm Gears

作　　者：张彦钦[1] 张光辉[1] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400030

出　　处：《西南交通大学学报》2011年第1期138-142,共5页Journal of Southwest Jiaotong University

基　　金：国家自然科学基金资助项目(50075089)

摘　　要：为了简化平面二次包络环面蜗杆传动承载能力的计算方法,基于Hertz理论,应用线性回归法和插值法,推导了平面二次包络环面蜗杆传动接触强度计算公式;考虑齿间载荷分配系数的影响,修正了普通圆柱蜗杆传动弯曲强度计算公式;根据蜗杆副有限元网格模型,分析了轮齿应力分布.结果表明：解析式计算的平面二次包络环面蜗杆传动接触强度（弯曲强度）比有限元分析结果大6%-16%,满足工程使用的要求;蜗轮齿面接触应力沿接触线呈倾斜L型分布;蜗杆载荷从1 N.m增大至额定值时,5对齿啮合的最大齿间载荷分配从32.4%降至27.5%.In order to simplify the calculation method for bearing capacity of planar double enveloping hourglass worm gears,a contact stress analytic formula for the worm drive was proposed through regression analysis and interpolation method based on the Hertz theory.The bending strength calculation formula was improved by taking into consideration the load distribution coefficient among the meshing teeth.According to the contact finite element model of the worm-gears,three-dimensional stress distribution of the gears was obtained.The results show that the contact stress（or bending strength） obtained by the analysis formula is 6%-16% larger than that by the finite element method,and the analysis formula can meet the requirements for engineering use.The contact stress distribution is in a declining L shape along the contact line.As the load of the worm gear increased from 1 N·m to the rated value,the maximal load distribution coefficient among 5 pairs of meshing gears decreased from 32.4% to 27.5%.

关 键 词：蜗杆传动 应力分布 有限元法 承载能力 

分 类 号：TH132.4[机械工程—机械制造及自动化]