DOI：10.3969/j.issn.1672-3872.2025.07.030
基金项目：国家自然科学基金青年项目（51905048）；咸宁职业技术学院博士科研启动基金（20230263097）
作 者：王海平1 ，金 燕1 ，李晓微1 ，陈小敏2
（1. 咸宁职业技术学院智能非标设备湖北省工程研究中心，湖北 咸宁 437100；2. 长沙理工大学汽车与机械工程学院，湖南 长沙 410114）
摘 要：【目的】滚动轴承热结构耦合特性对直升机主减速器影响较大，准确快速计算出其温度场分布意义重大。【方法】将加权最小二乘无网格法应用于某直升机主减速器角接触球轴承的温度场求解中，并对其进行瞬态建模分析。引入自适应计算方法提升计算精度，并通过θ法和向后差分算法求解时域热传导问题。将无网格法、有限元法计算结果与试验测试结果对比，验证模型的有效性。【结果】数值算例表明，建立的非稳态模型能正确反映温度场分布。无网格法所得内圈、滚珠、外圈温度分别为75.4 ℃、72.2 ℃、70.1 ℃，与试验值的误差为2.08%~3.31%，显著优于有限元法（误差4.55%~6.21%）。【结论】与有限元稳态热分析方法相比，无网格法无需网格划分，具有良好的全局搜索能力和高效的计算性能，更适合用于轴承温度场分析。本研究为复杂工况下轴承热特性研究提供了有价值的参考。
关键词：角接触球轴承；加权最小二乘无网格法；温度场；热分析
Analysis of Temperature Field of Aviation Rolling Bearing Based on Meshless Method
Author: Wang Haiping1 , Jin Yan1 , Li Xiaowei1 , Chen Xiaomin2
(1.Intelligent Non-standard Equipment Hubei Engineering Research Center, Xianning Vocational Technical College, Xianning 437100, China; 2.College of Automotive and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410114, China)
Abstract: [Objective] The thermal structural coupling characteristics of rolling bearings have a great influence on the performanceof the helicopter main reducer. It is important to accurately and quickly calculate the temperature field distribution of rolling bearings. [Method] The weighted least squares meshless method is used to solve the temperature field of row angular contact ball bearing in some helicopter main reducer, and the transient modeling analysis is carried out. The adaptive calculation method is introduced to improve the calculation accuracy, and the time-domain heat conduction problem is solved by the θ method and the backward difference algorithm. The validity of the model is verified by comparing the calculation results of meshless method and finite element method with the test results. [Result] The numerical example shows that the established unsteady model can correctly reflect the temperature field distribution. The temperatures of the inner ring, ball and outer ring obtained by the meshless method are 75.4 °C, 72.2 °C and 70.1 °C, respectively. The error between the calculated and experimental values is 2.08%~3.31%, which is significantly better than that of the finite element method (error 4.55%~6.21%). [Conclusion] Compared with the finite element steady-state thermal analysis method, the meshless method does not require meshing, has good global search ability and efficient calculation performance, and is more suitable for bearing temperature field analysis. This study provides a valuable reference for the study of bearing thermal characteristics under complex working conditions.
Keywords: row angular contact ball bearing; meshless weighted least-squares; temperature field; thermal analysis
引文信息：[1]王海平，金燕，李晓微，等.基于无网格法的航空滚动轴承温度场分析[J].南方农机，2025，56(7)：110-114.
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