General model of stiffness, stress and deformation for modified non-orthogonal offset face gear drives

IF 4.5 1区工程技术 Q1 ENGINEERING, MECHANICAL

Mechanism and Machine Theory Pub Date : 2025-08-12 DOI:10.1016/j.mechmachtheory.2025.106128

Lu Liu, Shijing Wu, Xiaosun Wang

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Abstract

To calculate the stress and deformation in modified non-orthogonal offset face gear drives, load distribution and meshing stiffness models combining local contact, global teeth and gear body foundations are constructed in this paper. Fillet and bottom surfaces of spur-face gears are explicitly expressed to improve global tooth models. A general equation to solve alternation meshing boundaries is induced. A unified and analytical model of stress and deformation for modified teeth is established. General solutions of stress and deformation for gear foundations are derived. Load distribution and meshing stiffness are coupled through nonlinear contact, linear teeth and gear foundations. It is revealed that distributed forces on both sides of designed meshing tracks are controlled by asymmetric tooth modification to proactively enhance bearing capacities. The stress around shaft hole and the meshing deformation should be evaluated when reducing the weight by thinning face gear foundations since the low lateral bending stiffness. It provides a basis for reliability evaluation and dynamics analysis of modified face gear drives, and general solutions for cylinder and circular plate can be applied to other mechanical systems.

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改进的非正交偏置面齿轮传动的刚度、应力和变形的一般模型

为了计算改进的非正交偏置面齿轮传动的应力和变形，建立了结合局部接触、全局齿和齿轮体基础的载荷分布和啮合刚度模型。对直齿齿轮的圆角面和底面进行了显式表示，以改进整体齿模型。导出了求解交替网格边界的一般方程。建立了修正齿的应力和变形的统一解析模型。推导了齿轮基础应力和变形的一般解。载荷分布和啮合刚度通过非线性接触、线性齿和齿轮基础耦合。通过非对称齿形修形控制啮合轨迹两侧的分布力，主动提高承载能力。由于侧弯刚度较低，采用减薄齿轮基础减重时，应评估轴孔周围的应力和啮合变形。为改型面齿轮传动的可靠性评估和动力学分析提供了依据，为圆柱和圆板传动提供了通用的解决方案，可应用于其他机械系统。

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