• CN:11-2187/TH
  • ISSN:0577-6686

机械工程学报 ›› 2015, Vol. 51 ›› Issue (5): 37-46.doi: 10.3901/JME.2015.05.037

• 机械动力学 • 上一篇    下一篇

扫码分享

高速滚珠关节轴承的动力学特性分析

卓耀彬1,2 周晓军1   

  1. 1.浙江大学流体传动及控制国家重点实验室;
    2. 丽水学院工程与设计学院
  • 出版日期:2015-03-05 发布日期:2015-03-05
  • 基金资助:
    国家自然科学基金资助项目(51275453)

Dynamic Characteristic Analysis of High-speed Spherical Ball Bearing

ZHUO Yaobin1,2 ZHOU Xiaojun1   

  1. State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University;
  • Online:2015-03-05 Published:2015-03-05

摘要: 应用外圈滚道控制理论,考虑滚珠陀螺力矩和离心力的影响,分析高速滚珠关节轴承的整体受力平衡、结构尺寸关系、接触点的综合曲率、接触角的变化、弹性变形关系、滚珠的自转和公转、滚珠受力平衡等因素,建立滚珠关节轴承在联合载荷及高速旋转工况下的动力学平衡方程。对动力学平衡方程的求解方法进行分析,得到未知变量可行域的变化规律,建立优化目标方程,提出基于复合形法约束处理遗传算法的优化方程求解方法及步骤。以高速滚珠关节轴承BRF30为例,建立其动力学平衡方程并求解,得到内、外圈相对位移、轴承刚度、接触角、接触角分布、负荷分布、滚旋比等轴承状态量的变化规律。研究内容为此类关节轴承的结构尺寸和工作性能参数的标准化、当量载荷及工作寿命的计算和优化设计等提供理论 基础。

关键词: 复合形法, 高速旋转, 关节轴承, 联合载荷, 遗传算法

Abstract: The dynamics balance equation of spherical ball bearing under combined loads and high-speed revolution condition is established, during using the outer ring raceway control theory, considering the influence of ball^s gyroscopic couple and centrifugal force, and analyzing several factors, such as overall force balance of spherical ball bearing, relationship of geometric structure, curvature of contact point, change of contact angle, relationship of elastic deformation, rotation and revolution of ball, force balance of ball, etc. After analyzing the solution method of the dynamics balance equation, obtaining the change rules of the unknown variables’ feasible regions, and setting up the optimization objective equations, solving method and procedure of optimization equation basing on the complex-constrain genetic algorithm is presented. As an example of spherical bearing BRF30, its dynamics balance equation is established and solved, the change laws of several important bearing statuses are obtained, such as relative displacement between inner ring and outer ring, stiffness of bearing, contact angle, distribution of contact angle, distribution of loads, ratio of revolution, etc. The research provides theoretical basis for designing and analyzing of the bearing, such as standardization of its structural size parameters and characteristic parameters, calculations of equivalent loads and work life, optimal design, etc.

Key words: combined loads, complex method, genetic algorithm, high-speed revolution, spherical bearing

中图分类号: