Purpose

Currently, there is a lack of fast and highly accurate on analytical solution of Reynolds equation for evaluating the characteristics of surface textured bearing. This paper aims to develop such an analytical solution of Reynolds equation for an effective analysis of the characteristics of surface textured bearings.

Design/methodology/approach

By using the separation of variables method and mean eigenvalue method, the analytical solution is constructed. The CFD simulations and experimental results are used to validate the correctness of the analytical solution.

Findings

The analytical solution can accurately evaluate the characteristics of textured bearings. It is found that the larger the eccentricity ratio and aspect ratio, the greater the oil film force. It also found that the smaller the eccentricity ratio, the larger the Sommerfeld number S. When eccentricity ratio e = 0.65, the attitude angles of different oil boundaries are same. The effect of different aspect ratios on dynamic stiffness and damping coefficient generally follows a same trend. It is numerically shown that the critical speed of rotor-bearing is 3500 rpm.

Originality/value

The analytical solution provides a simple yet effective way to study the characteristics of surface textured bearings.

中文翻译：

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雷诺方程的解析解，用于评估表面纹理轴承的特性

目的

目前，缺乏用于评估表面纹理轴承特性的快速，高精度的雷诺方程解析解。本文旨在开发这种雷诺方程的解析解，以有效分析表面纹理轴承的特性。

设计/方法/方法

利用变量分离法和平均特征值法，构造了解析解。CFD仿真和实验结果用于验证分析溶液的正确性。

发现

该分析解决方案可以准确地评估纹理轴承的特性。发现偏心率和长径比越大，油膜力越大。还发现，偏心率越小，Sommerfeld数S越大。当偏心率e = 0.65时，不同油边界的姿态角相同。不同纵横比对动态刚度和阻尼系数的影响通常遵循相同的趋势。数值显示，转子轴承的临界转速为3500 rpm。

创意/价值

该分析解决方案提供了一种简单而有效的方法来研究表面纹理轴承的特性。