Investigations on mesh stiffness functions in three-dimensional spur and helical gear models. Definitions and numerical simulations

IF 4.5 1区 工程技术 Q1 ENGINEERING, MECHANICAL Mechanism and Machine Theory Pub Date : 2024-11-04 DOI:10.1016/j.mechmachtheory.2024.105823
B. Guilbert, Ph Velex
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Abstract

A definition of mesh stiffness as a scalar function connecting spur and helical three-dimensional pinions and gears is presented along with its conceptual limitations. Since it relies on global parameters namely, variations in torque and transmission errors, it can therefore be applied to the vast majority of the models found in the literature. In parallel, a multi-foundation (MF) model of mesh interface is introduced with the objective of being as accurate as three-dimensional finite element (FE) simulations for highly reduced computational costs. Numerous results on mesh stiffness and tooth contact conditions are presented for unmodified spur and helical gears. It is shown that the proposed mesh stiffness functions based on global parameters are sound and that the MF and FE results compare well, particularly when gear body deflections are limited. The contributions of off-line of action contacts, elastic couplings when several tooth pairs are loaded and axial deflections in helical gears are analysed. Finally, the notion of mesh stiffness function representative of the elasticity of a pinion-gear pair for static and dynamic conditions is examined.
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三维直齿轮和斜齿轮模型中啮合刚度函数的研究。定义和数值模拟
本文将啮合刚度定义为连接正齿轮和斜齿轮三维小齿轮和齿轮的标量函数,并介绍了其概念上的局限性。由于它依赖于全局参数,即扭矩和传动误差的变化,因此可应用于文献中发现的绝大多数模型。与此同时,还引入了网格界面的多基础(MF)模型,目的是在大幅降低计算成本的情况下实现与三维有限元(FE)模拟一样的精确度。针对未修改的直齿轮和斜齿轮,给出了大量关于啮合刚度和轮齿接触条件的结果。结果表明,基于全局参数提出的啮合刚度函数是合理的,MF 和 FE 结果对比良好,特别是当齿轮体挠度有限时。分析了作用接触的离线、多个齿对受载时的弹性耦合以及斜齿轮的轴向挠度的贡献。最后,研究了代表小齿轮和大齿轮在静态和动态条件下的弹性的啮合刚度函数概念。
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
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
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