Quasi Statics Model Quick Iteration Method for RV Reducer Main Bearing

doi:10.7652/xjtuxb201604016

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Quasi Statics Model Quick Iteration Method for RV Reducer Main Bearing

更新时间：2025-07-09

- Quasi Statics Model Quick Iteration Method for RV Reducer Main Bearing
- Vol. 50, Issue 4, Pages: 100-107(2016)
- 作者机构：
  
  西安交通大学机械制造系统工程国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201604016
  CLC： TH161
- Online First：10 April 2016，
  
  Published：2016
- 稿件说明：
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Quasi Statics Model Quick Iteration Method for RV Reducer Main Bearing[J]. 2016, 50(4): 100-107.
DOI：

Quasi Statics Model Quick Iteration Method for RV Reducer Main Bearing[J]. 2016, 50(4): 100-107. DOI： 10.7652/xjtuxb201604016.

摘要

针对具有多球特性的RV减速器主轴承较传统轴承的拟静力学模型拥有数倍规模的非线性方程组

导致其在极限工况下计算难以收敛的问题

建立了RV减速器主轴承5自由度拟静力学模型

结合Newton与Broyden算法

提出一种新的求解轴承拟静力学非线性方程组的组合式迭代算法。在轴承几何、运动关系简化的基础上

结合轴承静力学模型

推导了RV减速器主轴承拟静力学迭代初值

解决了传统轴承拟静力学迭代初值不够精确的问题。在不同联合载荷下将提出的组合式算法与Newton算法、Broyden算法进行算例比较

结果表明:所提组合式迭代法可有效克服当径向力大于等于3 kN时出现的复数解或不收敛问题

验证了所提组合算法的快速有效性; RV减速器主轴承每个球的载荷及其接触角大小关于外部径向力作用在轴承接触点的法线对称

并与其正向和球位置所成的夹角γ相关; 在同一轴向和径向联合载荷下

当γ为锐角时

每个对称部分的球载荷与γ成反比

反之接触角与夹角γ成正比。

Abstract

Compared with the traditional bearing analysis

quasi statics analysis for RV reducer main bearing with multi-ball features contains larger scale of nonlinear equations

which leads to the difficulty of convergence under extreme working conditions. A 5-DOF model of quasi statics of RV reducer main bearing is established

and a new iteration algorithm combining Newton's and Broyden's methods is chosen to solve the quasi statics nonlinear equations. Following the simplified bearing geometry and motion relations and employing the bearing statics model

the quasi static iterative initial value of RV reducer main bearing is obtained. The comparative results show that the proposed combined iterative method can effectively solve the difficulties of non-convergence and complex number solutions in the case of the radial force greater than or equal to 3 kN

and the rapidity and validity of the new iterative method are verified. It is also found that the load and contact angle of each ball in RV reducer main bearing get symmetrical about the normal through the external force contact point and are related to the angle γ between this line and the position of the ball; under the same axial and radial joint load

the load on each ball in symmetrical part is inversely proportional to acute angle γ

while the load is proportional to obtuse angle γ; the contact angle is proportional to γ.

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references

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