A novel mathematical model to capture the 3D dynamic contact state of gear pairs considering system flexibility

IF 4.5 1区工程技术 Q1 ENGINEERING, MECHANICAL Mechanism and Machine Theory Pub Date : 2025-03-18 DOI:10.1016/j.mechmachtheory.2025.105999

Bing Yuan , Jinlong Wang , Bing Han , Xingbo Xiong , Hao Dong

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Abstract

The inevitable elastic deformation and vibration displacement of components can cause gear mesh misalignment (MM) in gear systems, thereby affecting the actual contact state of gear pairs and system dynamic performance. A novel three-dimensional (3D) dynamic gear contact model is proposed in this study for determining the 3D dynamic contact state of gear pairs considering system flexibility. By combining the loaded tooth contact analysis (LTCA) model with the MM calculation approach proposed in our published work, a proxy model for dynamic mesh excitations of gear pairs with system flexibility is developed for improving the solution efficiency. An efficient solution method of the proposed dynamic gear contact model is established through coupling the proxy model of dynamic mesh excitations and Newmark numerical integration method. It is conducted in-depth research on the influences of input speed, shaft parameters and gear installation position on dynamic MM and dynamic contact stress (CS), dynamic composite mesh stiffness (CMS) and dynamic composite mesh error (CME), as well as dynamic mesh force (DMF) and dynamic transmission error (DTE) of gear pairs.

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考虑系统灵活性，建立了一种新的捕捉齿轮副三维动态接触状态的数学模型

在齿轮系统中，零件不可避免的弹性变形和振动位移会引起齿轮啮合错位，从而影响齿轮副的实际接触状态和系统的动态性能。为了确定齿轮副的三维动态接触状态，考虑了系统的灵活性，提出了一种新的三维动态齿轮接触模型。为了提高求解效率，将加载齿接触分析（LTCA）模型与已发表的MM计算方法相结合，建立了具有系统柔性的齿轮副动态啮合激励代理模型。将动态网格激励代理模型与Newmark数值积分法相结合，建立了齿轮动态接触模型的有效求解方法。深入研究了输入转速、轴参数和齿轮安装位置对齿轮副动态MM和动态接触应力（CS）、动态复合啮合刚度（CMS）和动态复合啮合误差（CME）以及动态啮合力（DMF）和动态传动误差（DTE）的影响。

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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