The mapping relationship between multi-source errors and lost motion in planetary gear train

IF 4.5 1区工程技术 Q1 ENGINEERING, MECHANICAL

Mechanism and Machine Theory Pub Date : 2025-07-12 DOI:10.1016/j.mechmachtheory.2025.106138

Xinglong Wang , Jian Wang , Weimin Tang , Liwei Cheng , Jun Zhang , Yibo Jiang

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引用次数: 0

Abstract

As a key indicator for evaluating the kinematic accuracy of planetary gear train (PGT), lost motion is affected by multi-source errors coupled of geometric and structural errors and their probability distribution characteristics. A thorough understanding on the mapping relationship between multi-source errors and lost motion is crucial to the improvement of kinematic accuracy. With this idea, this paper establishes a kinematic model of PGT considering multi-source errors. In this model, the structural error is derived based on the time-varying meshing stiffness affected via both geometric errors and load distribution on different power branch. Meanwhile, the uncertainty of geometric errors is incorporated into the PGT kinematic model to ensure the accuracy of the mapping relationship between errors and lost motion. Based on this kinematic model, the impact of multi-source errors on lost motion is revealed. The results indicate that the kinematic accuracy of PGT can be improved through simultaneously optimizing the errors of sun gear and any component. Also, the compound effect of carrier and ring gear errors constitutes the primary cause for the decrease of kinematic accuracy.

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行星轮系多源误差与运动损失的映射关系

作为衡量行星轮系运动精度的关键指标，运动损失受到几何误差和结构误差耦合的多源误差及其概率分布特性的影响。深入了解多源误差与运动丢失之间的映射关系对提高运动精度至关重要。基于这一思想，建立了考虑多源误差的PGT运动学模型。在该模型中，基于几何误差和不同功率支路负载分布对时变啮合刚度的影响，推导出结构误差。同时，将几何误差的不确定性引入到PGT运动学模型中，保证了误差与运动损失映射关系的准确性。基于该运动学模型，揭示了多源误差对运动损失的影响。结果表明，通过同时优化太阳齿轮和任意部件的误差，可以提高PGT的运动精度。同时，承托误差和齿圈误差的复合效应是导致运动精度下降的主要原因。

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

Mechanism and Machine Theory 工程技术-工程：机械

CiteScore

9.90

自引率

23.10%

发文量

450

审稿时长

20 days

期刊介绍： Mechanism and Machine Theory provides a medium of communication between engineers and scientists engaged in research and development within the fields of knowledge embraced by IFToMM, the International Federation for the Promotion of Mechanism and Machine Science, therefore affiliated with IFToMM as its official research journal. The main topics are: Design Theory and Methodology; Haptics and Human-Machine-Interfaces; Robotics, Mechatronics and Micro-Machines; Mechanisms, Mechanical Transmissions and Machines; Kinematics, Dynamics, and Control of Mechanical Systems; Applications to Bioengineering and Molecular Chemistry