Simulation and validation of the transmission error, meshing stiffness, and load sharing of planetary spur gear transmissions

IF 4.5 1区工程技术 Q1 ENGINEERING, MECHANICAL

Mechanism and Machine Theory Pub Date : 2024-10-05 DOI:10.1016/j.mechmachtheory.2024.105800

José I. Pedrero , Javier Sánchez-Espiga , Miryam B. Sánchez , Miguel Pleguezuelos , Alfonso Fernández-del-Rincón , Fernando Viadero

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Abstract

Although the load sharing between planets of sequentially phased planetary gear transmissions has been studied in the past, the required solving techniques based on the Finite Element Method result in long time consuming and high computational cost. This limits the possibilities of undertaking extensive studies that take into consideration a high number of cases allowing optimal solutions to be sought or general conclusions drawn. In addition, the determination of the curves of transmission error, time-varying mesh stiffness, and load sharing among tooth pairs in simultaneous contact are also complicated. In this work an analytical model has been developed for the simulation of the time-varying mesh stiffness, quasi-static transmission error, and load sharing ratio between planets and tooth pairs of planetary spur gear transmissions. It is based on similar models for external and internal spur gears previously developed and has been validated by comparison with a hybrid model based on the Finite Element Method and theoretic-experimental correlation.

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行星直齿轮传动装置的传动误差、啮合刚度和负载分担的模拟与验证

虽然过去曾对顺序相位行星齿轮传动装置的行星之间的负载分担进行过研究，但所需的基于有限元法的求解技术耗时长、计算成本高。这就限制了对大量案例进行广泛研究的可能性，从而无法寻求最佳解决方案或得出一般性结论。此外，确定传动误差曲线、时变网格刚度和同时接触的齿对之间的载荷分担也很复杂。本研究建立了一个分析模型，用于模拟行星直齿轮传动的时变啮合刚度、准静态传动误差以及行星和齿对之间的负载分担率。该模型基于之前开发的外直齿齿轮和内直齿齿轮的类似模型，并与基于有限元法和理论-实验相关性的混合模型进行了比较验证。

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