收稿日期: 2023-05-05
网络出版日期: 2023-08-03
基金资助
国家自然科学基金资助项目(51875458);陕西省重点研发计划项目(2021ZDLGY10-08);西北工业大学中央高校基本科研业务费专项资金资助项目(G2022KY0619)
Dynamic Load Distribution of Roller Thread Considering Gear Pair Meshing Excitation
Received date: 2023-05-05
Online published: 2023-08-03
Supported by
the National Natural Science Foundation of China(51875458);the Key R&D Program of Shaanxi Province(2021ZDLGY10-08)
螺纹副和齿轮副同步啮合是行星滚柱丝杠传动的典型特征。为揭示齿轮副啮合激励以及滚柱绕丝杠轴线公转产生的惯性力导致螺纹副动载荷波动的规律，文中提出了一种考虑惯性力和齿轮副啮合激励的螺纹副动载荷分布计算方法。首先，根据圆柱碰撞理论、能量法和时变弹簧模型分别求解齿轮副啮入激励和时变啮合刚度激励，基于行星滚柱丝杠螺旋曲面方程求解滚柱-丝杠及滚柱-螺母接触侧静态接触力；然后，以滚柱为研究对象进行受力分析，依据螺纹副变形协调条件获得考虑齿轮副啮合激励的螺纹副动载荷分布规律，并与螺纹副动态接触有限元模型的计算结果进行对比，以验证理论模型的正确性；最后，分析惯性力及齿轮副啮合激励对螺纹副动态接触力大小及动载荷分布的影响。结果表明：惯性力导致滚柱-螺母侧的动态接触力大于滚柱-丝杠侧；考虑齿轮副啮合激励时，滚柱-丝杠侧的螺纹接触力随着螺纹数量的增大而减小，而滚柱-螺母侧的螺纹接触力随着螺纹数量的增大而增大；齿轮副啮合激励导致滚柱-丝杠及滚柱-螺母侧的螺纹接触力随着时间的变化发生相同规律的波动。
许千斤, 马尚君, 牛茂东, 等 . 考虑齿轮副啮合激励的滚柱螺纹动载荷分布[J]. 华南理工大学学报(自然科学版), 2023 , 51(11) : 119 -130 . DOI: 10.12141/j.issn.1000-565X.230296
The synchronous meshing of threaded pairs and gear pairs is a typical feature of planetary roller screw transmission. To reveal the dynamic load fluctuation law of the screw pair caused by the meshing excitation of the gear pair and the inertia force generated by the roller rotating around the screw axis, this paper proposed a calculation method for the dynamic load distribution of the screw pair considering the inertia force and the meshing excitation of the gear pair. Firstly, based on the cylindrical collision theory, energy method, and time-varying spring model, the meshing excitation and time-varying meshing stiffness excitation of the gear pair were solved, respectively. Based on the spiral surface equation of the planetary roller screw, the static contact forces on the contact side of the roller screw and the roller nut were solved. Then, the force analysis was conducted on the roller, and the dynamic load distribution law of the screw pair considering the meshing excitation of the gear pair was obtained based on the deformation coordination condition of the screw pair and compared with the calculation results of the dynamic contact finite element model of the screw pair, so as to verify the correctness of the theoretical model. Finally, the paper analyzed the impact of inertia force and gear pair meshing excitation on the dynamic contact force and dynamic load distribution of threaded pairs. The results shows that: inertia force leads to a greater dynamic contact force on the roller nut side than on the roller screw side; when considering the meshing excitation of the gear pair, the contact force on the roller screw side decreases with the increase of the number of threads, while the contact force on the roller nut side increases with the increase of the number of threads; the meshing excitation of the gear pair causes the contact force between the roller screw and the roller nut side thread to fluctuate in the same pattern over time.
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