Analysis of the tooth-root stress of external spur gears with high effective contact ratio

IF 4.5 1区 工程技术 Q1 ENGINEERING, MECHANICAL Mechanism and Machine Theory Pub Date : 2024-10-14 DOI:10.1016/j.mechmachtheory.2024.105813
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Abstract

For spur gears with contact ratio close to 2, the extension of the contact interval resulting from loaded tooth deflections and local contact deformations may result in an effective contact ratio above 2. In these cases, the load is transmitted by at least two tooth-pairs, the maximum load and tooth-root stress decrease, and therefore the calculation methods of the gear rating Standards ISO and AGMA provide very conservative results. In this work, two models are applied to the calculation of the tooth-root stress of load-induced high contact ratio external gears: (i) an analytic model of load sharing, based on the minimum energy method, and (ii) a finite element model, which validates the results obtained from the previous model. Obtained values of the stress are compared with those provided by ISO and AGMA rating methods, which do not account for the stress reduction due to the higher contact ratio. A new modification coefficient is proposed to correct these conservative values, which allows the AGMA and ISO geometry factors to remain as no load-dependent factors and keep their actual calculation methods and significance.
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高有效接触比外直齿轮齿根应力分析
对于接触比接近 2 的正齿轮,加载的齿挠度和局部接触变形导致的接触间隔延长可能会使有效接触比超过 2。在这种情况下,载荷至少由两个齿对传递,最大载荷和齿根应力都会降低,因此齿轮等级标准 ISO 和 AGMA 的计算方法提供的结果非常保守。在这项工作中,应用了两种模型来计算负载引起的高接触比外齿轮的齿根应力:(i) 基于最小能量法的负载分担分析模型;(ii) 有限元模型,该模型验证了前一模型得出的结果。获得的应力值与 ISO 和 AGMA 等级评定方法提供的应力值进行了比较,后者没有考虑到接触比增大导致的应力减小。我们提出了一个新的修正系数来修正这些保守值,从而使 AGMA 和 ISO 几何系数保持为不依赖载荷的系数,并保留其实际计算方法和意义。
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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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