结合模拟方程法的螺旋锥齿轮齿面动态快速承载接触分析方法

IF 4.5 1区工程技术 Q1 ENGINEERING, MECHANICAL

Mechanism and Machine Theory Pub Date : 2025-08-01 DOI:10.1016/j.mechmachtheory.2025.106158

Peng Chen, Sanmin Wang, Jia Guo, Haoran Zou, Linlin Liu

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引用次数: 0

摘要

螺旋锥齿轮齿面动态接触分析是齿面设计的基础。为了避免有限元法（FEM）的耗时和解析法忽略整体齿面振动，提出了一种新的动态快速加载齿面接触分析（DF-LTCA）方法。首先，建立具有自适应边界条件的螺旋锥齿轮边界元和内节点模型，保证各节点和单元的可重用性；其次，在边界元法框架下，采用模拟方程法（AEM）将具有阻尼力和体力的齿轮齿面弹性动力学偏微分方程表示为等效振动微分方程，并采用模拟方程法的直接积分法（DAEM）进行求解，得到振动位移；随后，将齿面振动结果与静间隙耦合，建立了齿面动态接触模型和求解方法，形成了螺旋锥齿轮的DF-LTCA方法。最后，通过数值算例和实验验证了DF-LTCA的正确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A dynamic fast load-bearing contact analysis method of spiral bevel gear tooth surface combined with analog equation method

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A dynamic fast load-bearing contact analysis method of spiral bevel gear tooth surface combined with analog equation method

The dynamic contact analysis of spiral bevel gear tooth surface is the basis of tooth surface design. In order to avoid the time-consuming process of finite element method(FEM) and the neglect of global tooth surface vibration by analytical method, a new dynamic fast loaded tooth surface contact analysis (DF-LTCA) method is proposed in this study. Firstly, the boundary element and internal node model of spiral bevel gear with adaptive boundary conditions are established to ensure the reusability of each node and unit. Second, elastodynamic partial differential equations for gear tooth surfaces with damped and body forces are formulated as equivalent vibration differential equations using the analog equation method (AEM) within the BEM framework, and solved via AEM’s direct integration method (DAEM) to obtain vibration displacements. Subsequently, a dynamic tooth surface contact model and solution method are established by coupling tooth surface vibration results with static clearance, formed the DF-LTCA method for spiral bevel gears. Finally, numerical examples and experiments are provided to verify the correctness of DF-LTCA.

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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