• CN:11-2187/TH
  • ISSN:0577-6686

›› 2005, Vol. 41 ›› Issue (2): 51-56.

• 论文 • 上一篇    下一篇

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滑动轴承非线性油膜力的一维直接解法

刘大全;肖忠会;张文;郑铁生   

  1. 复旦大学力学与工程科学系
  • 发布日期:2005-02-15

DIRECT SOLUTION METHOD OF ONE-DIMENSIONAL PROBLEM FOR NONLINEAR OIL-FILM FORCES OF SLIDING BEARING

Liu Daquan;Xiao Zhonghui;Zhang Wen;Zheng Tiesheng   

  1. Department of Mechanics and Engineering Science, Fudan University
  • Published:2005-02-15

摘要: 滑动轴承的油膜力,特别在雷诺边界条件下,并不存在解析解。一般采用有限差分方法或迭代算法求解方程,因计算量偏大不适合轴承非线性动力分析。针对滑动轴承轴瓦形状比较规则和轴向压力分布较为简单的特点,把二维变分不等方程降阶为一维形式,并提出一维变分不等方程的直接解法,无需迭代便可求出节点压力及油膜破裂边界。与二维有限元互补算法相比,直接解法误差小于百分之一,而且其运算时间也仅为其百分之一。

关键词: 滑动轴承, 一维变分不等方程, 直接解法, 动态规划, 混合动力, 控制策略, 挖掘机, 转矩预测

Abstract: It is common knowledge that there exists no the closed form of the bearing forces especially under Reynolds boundary condition. The unsteady Reynolds equation has to be solved generally by the methods such as finite differential method and iterative method which are rather time consuming in the nonlinear dynamic analysis of sliding bearing. According to the regular form of the tiles of journal bearings and the simple solution of the axial pressure distribution, the twodimensional variational inequality can be decreased to the one-dimensional problem and a direct solution method is presented. No iteration process is needed to solve the pressure of nodal points and the bounds of cracked oil film. Compared with the results of two-dimensional finite elements method’s algorithm, this error decreases to about one percent and the computing time of the direct percent solution method can also be reduced to one percent

Key words: Direct solution method, One-dimensional variational inequality, Sliding bearing, control strategy, dynamic programming, excavator, torque prediction, hybrid

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