An approach for calculating the dynamic load of deep groove ball bearing joints in planar multibody systems

An approach for calculating the dynamic load of deep groove ball bearing joints in planar multibody systems
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平面多体系统中深沟球轴承关节动载荷的计算方法

DOI:
10.1007/s11071-012-0606-9
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发表时间:
2012-09
期刊:
影响因子:
5.6
通讯作者:
Yonggang Li
Yonggang Li
中科院分区:
工程技术2区
文献类型:
--
作者:
Lixin Xu;Yonggang Li

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研究了包含多个深沟球轴承副的平面多体系统的动力学建模问题,包括径向间隙、接触变形和轴承运动学。利用该方法可以模拟轴承中各球单元上的关节反力和动载荷的变化。通过引入一个非线性力系统来模拟深沟球轴承关节,该力系统考虑了球单元和滚道之间的接触弹性变形。接触力是由赫兹接触变形理论计算的,该理论考虑了接触体的几何和材料特性。以一个双深沟球铰曲柄滑块机构为例,说明了本文方法的应用。在该模型中,一个轴承位于地面与曲柄的连接处,另一个轴承位于曲柄与连杆的连接处。通过数值计算,模拟了真实的机构运动条件下轴承的动载荷分布特性。结果表明,各滚动体上的动载荷随机构构型的变化而变化,属于变载荷。载荷特性分析是开展轴承疲劳寿命和可靠性研究的基础。该研究为关节滚动轴承的性能评价、动态设计和几何参数优化提供了重要的力学支持。
This study is focused on dynamic modeling of planar multibody systems with multiple deep groove ball bearing joints, in which the radial clearance, contact deformation, and bearing kinematics are included. By using the approach presented, the variation of the joint reaction force and the dynamic load on each ball element in bearings can be simulated. The deep groove ball bearing joints are modeled by introducing a nonlinear force system, which takes into account the contact elastic deformations between the ball elements and the raceways. The contact force is calculated by the Hertzian contact deformation theory that accounts for the geometrical and material properties of the contacting bodies. A planar slider-crank mechanism with two deep groove ball bearing joints is chosen as an example to demonstrate the application of the methodologies presented in this paper. In this model, one bearing locates at the joint between the ground and crank, while the other one locates at the joint between the crank and connecting rod. By numerical calculation, the dynamic load distribution characteristics of bearings under real mechanism movement conditions are simulated. From the results, it can be concluded that the dynamic load on each rolling element varies differently and belongs to a variable load with the change of mechanism configuration. Load characteristic analysis is the foundation of developing research on the fatigue life and reliability of bearings. This study will provide a key mechanical support for the performance evaluation, dynamic design, and geometrical parameter optimization of the joint rolling element bearings.
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