• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2024, Vol. 60 ›› Issue (21): 112-121.doi: 10.3901/JME.2024.21.112

• 机械动力学 • 上一篇    下一篇

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滚子类轴承接触精确建模及其瞬态力学响应分析方法

刘紫檀, 马帅军, 闫柯, 方斌, 洪军   

  1. 西安交通大学现代设计与转子轴承系统教育部重点实验室 西安 710049
  • 收稿日期:2023-11-06 修回日期:2024-05-01 发布日期:2024-12-24
  • 通讯作者: 闫柯,男,1984年出生,博士,教授,博士研究生导师。主要研究方向滚动轴承设计分析与测试技术。E-mail:yanke@mail.xjtu.edu.cn
  • 作者简介:刘紫檀,男,1998年出生。主要研究方向为滚子轴承动力学分析。E-mail:liuzitan@stu.xjtu.edu.cn
  • 基金资助:
    国家自然科学基金重点资助项目(92160203)。

Accurate Contact Modeling of Roller Bearings and its Transient Mechanical Response Analysis Method

LIU Zitan, MA Shuaijun, YAN Ke, FANG Bin, HONG Jun   

  1. Key Laboratory of Education Ministry for Modern Design and Rotor-Bearing System, Xi'an Jiaotong University, Xi'an 710049
  • Received:2023-11-06 Revised:2024-05-01 Published:2024-12-24

摘要: 滚子类轴承因其承载能力强、结构紧凑等特点,在旋转系统中有着广泛的应用。然而,滚子轴承组件间的复合接触形式与多变的运动状态,致使动力学建模困难,并致目前通用多体动力学软件针对滚子类轴承复合接触的求解精度受限。对此,提出了一种基于空间坐标系的滚子轴承五自由度动力学建模方法,以几何接触最为复杂的圆锥滚子轴承为对象,通过解析轴承组件间的瞬时几何位置关系,建立轴承组件动力学微分方程,采用WSTIFF I3求解算法保证了轴承组件间复合接触过程的精确解析。基于二滚子无重力模型以及无滑动转速条件下解析验证,仿真结果与理论值误差小于1%。所提建模方法及其复杂工况时变接触力仿真能力为滚子类轴承的接触应力及寿命预测提供了新的分析途径。

关键词: 圆锥滚子轴承, 建模方法, 五自由度滚子, 时变曲线, 二次开发

Abstract: Roller bearings are widely used in rotating systems because of their great load-bearing capacity and compact structure. However, the composite contact form and variable motion state between roller bearing components make the dynamics modeling difficult, and the accuracy of the current general multi-body dynamics software for solving the composite contact of roller bearings is limited by it. In this regard, a five-degree-of-freedom dynamics modeling method for roller bearings based on spatial coordinate system is proposed. Tapered roller bearings, which have the most complex geometric contact characteristics, are chosen for the study. By resolving the instantaneous geometric position relationship between the bearing components, the differential equations of the bearing component dynamics are established, and the WSTIFF I3 solution algorithm is used to ensure the accurate resolution of the composite contact process between the bearing components. Based on the two-roller gravity-free model and the analytical verification under the no-slip speed condition, the simulation results are less than 1% error from the theoretical value. The modeling method and its ability to simulate time-varying contact forces in complex operating conditions provide a new analytical approach to solving contact stresses and life prediction of roller-type bearings.

Key words: tapered roller bearing, modeling method, five-freedom roller, time-varying curve, secondary development

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