倾斜式双滚子包络环面蜗杆传动承载能力应用研究.docVIP

倾斜式双滚子包络环面蜗杆副承载 能力研究 柳在鑫*,**，王进戈*，张均富* ，向中凡* （*.西华大学 机械工程与自动化学院，四川 成都 610039； **.四川大学 制造科学与工程学院，四川 成都 610065） 摘要：针对倾斜式双滚子包络环面蜗杆传动承载接触具有瞬时多齿啮合及啮合齿面相对法曲率半径较大的特点,提出一种求解齿间载荷分配与接触线上载荷分布的方法。阐述了倾斜式双滚子包络环面蜗杆传动的工作原理，建立了蜗杆副承载计算模型，确立了同时参与啮合的齿对载荷分配系数计算公式，根据布希涅斯克公式和有限差分法推导了该传动副接触变形、蜗轮轮齿弯曲变形和蜗杆轴挠曲变形计算公式。最后运用MATLAB软件进行了数值仿真，并分析了滚柱偏距c2、滚柱半径R、交错角等啮合参数对该传动齿间载荷分配与接触线上载荷分布的影响。仿真结果表明：从啮入端到啮出端其齿间载荷分配呈抛物线变化规律；接触线上载荷分布从齿根到齿顶呈递减趋势。要使该传动保持良好的承载能力，c2在5cm～8cm之间，R在7cm～9cm之间，在8o～12o之间。 关键词：环面蜗杆；载荷分配；承载能力；有限差分法 中图分类号：TH132.41 文献标识码：A Bearing capacity analysis of non-parallel double-roller enveloping hourglass worm gears LIU Zaixin*,** , WANG Jinge*, ZHANG Junfu*，XIANG Zhongfan* (1. School of Mechanical Engineering Automation, Xihua University. Chengdu, 610039, China; 2.School of Manufacturing Science and Engineering, Sichuan University, Chengdu 610065, China) Abstract: Based on the multi-gear engagement and large normal curvature radiuses of the non-parallel double-roller enveloping hourglass worm gearing, a method that can determine the load distribution along the contact lines and the load sharing among teeth was proposed. The working principle was introduced. The calculation modeling of the worm gears and the calculation formula for load share between teeth were established. According to the formula of Boussinesq and finite-difference method, the formulas of contact deformation, bending deformation of the worm gear tooth and flexibility distortion of the worm shafts were deduced. The simulation was conducted using MATLAB software, c2、R and which impact the load distribution along the contact lines and the load sharing among teeth were analyzed. The results show that the load sharing among teeth in the meshing is first decreased and then increased, which shows a parabola curve which activity change; the load distribution along the contact lines would decrease from teeth top to teeth root. c2 should be controlled within 5 to 8 cm, R should be controlled within 7 to 9 cm, sho