Kinematics analysis of planetary roller screw mechanism with misalignment

IF 2.3 4区工程技术 Q2 ENGINEERING, MECHANICAL Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering Pub Date : 2024-05-28 DOI:10.1177/09544089241257224

Wei Cai, Xiaojun Fu, Shangjun Ma, Xin Li, Geng Liu

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Abstract

The misalignment is unavoidable for planetary roller screw mechanism (PRSM) in practical application due to many uncertainties. The misalignment has a strong effect on the kinematic characteristics of PRSM. However, the relevant research has been rarely reported in the past. In order to clearly present the motion characteristics, a novel kinematics model of PRSM with misalignment is established in this article. The rotational tensor theory is introduced to obtain the coordinate transformation equations. The position vectors of PRSM with misalignment are acquired to calculate the position of the contact point. The motion model of PRSM with misalignment is derived by analyzing the velocity of the contact point. Compared with some published literature, the kinematic model of PRSM is verified. Moreover, a relationship between the misalignment variates, which are the misalignment angle, the misalignment azimuth angle, and the offset distance of the nut's ending point, respectively, and the kinematic characteristics of PRSM are investigated. The results indicate that those misalignment variates have a great influence on the kinematics of PRSM and lead to fluctuations in the PRSM's transmission velocity and angular velocity ratio. The fluctuation amplitude of transmission velocity is positively correlated with misalignment angle.

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带有偏差的行星滚子螺杆机构的运动学分析

在实际应用中，由于许多不确定因素，行星滚柱丝杠机构（PRSM）不可避免地会出现偏差。偏心对行星滚柱丝杠机构的运动特性有很大影响。然而，相关研究在过去却鲜有报道。为了清晰地展示其运动特性，本文建立了一种新型的带错位的 PRSM 运动学模型。通过引入旋转张量理论，得到坐标变换方程。通过获取带错位的 PRSM 的位置矢量来计算接触点的位置。通过分析接触点的速度，得出了有错位的 PRSM 的运动模型。与一些已发表的文献相比，PRSM 的运动模型得到了验证。此外，研究了不对中变量（分别为不对中角度、不对中方位角和螺母端点偏移距离）与 PRSM 运动学特性之间的关系。结果表明，这些不对中变量对 PRSM 的运动特性有很大影响，并导致 PRSM 的传动速度和角速度比的波动。传输速度的波动幅度与不对中角度呈正相关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering 工程技术-工程：机械

CiteScore

3.80

自引率

16.70%

发文量

370

审稿时长

6 months

期刊介绍： The Journal of Process Mechanical Engineering publishes high-quality, peer-reviewed papers covering a broad area of mechanical engineering activities associated with the design and operation of process equipment.