倾斜式双滚子包络环面蜗杆副承载能力研究

摘要

为了评价倾斜式双滚子包络环面蜗杆传动的承载能力,提出了求解该传动齿间载荷分配和接触线上载荷分布的解析算法.根据倾斜式双滚子包络环面蜗杆传动的特点,在一定假设基础上建立了蜗杆副承载计算模型,以此为基础,确立了齿对载荷分配系数计算公式,并由布希涅斯克公式和有限差分法建立了该传动的接触线上载荷分布计算模型,在数值分析基础上,分析了滚柱偏距、滚柱半径、倾斜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.研究表明: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,滚柱偏距宜在5cm ～ 8cm之间,滚柱半径在7cm ～ 9cm之间,倾斜角在8°～12°之间.%To evaluate the load carrying capacity of inclined double-roller enveloping hourglass worm gears,analytical models for solving the load sharing among teeth and the load distribution along the contact line were presented.According to the characteristic of the inclined double-roller enveloping hourglass worm gears,a load calculation model was established based on some reasonable assumptions.Based on the work mentioned above,the calculation formula for load sharing among the meshing pairs was given.The calculation model for load distribution of the contact line was established based on the Boussinesq' s formula and the finite-difference method.The influencing factors such as installed offset of roller,roller radius and inclined angle of load carrying capacity were analyzed based on the numerical simulation.The results show that the curve of the load sharing among the meshing pairs is a parabola from the starting point to the end point,and the load distribution along the contact line shows the tendency to decrease from root to top of the tooth.Finally,the installed offset of roller,the roller radius and the inclined angle should be controlled into the intervals of 5 to 8 cm,7 to 9 cm and 8° to 12°,respectively,in order to effectively maintain the load carrying capacity of the inclined double-roller enveloping hourglass worm gears.