滑动轴承非线性油膜力的几个理论问题及应用

Some theoretical problems on the nonlinear oil-film forces of sliding bearing and their applications

本文把流体润滑Reynolds方程在Reynolds边界条件下的解转化为自由边值问题,并进而对此自由边值问题等价变分原理进行了系统的归类和证明,为滑动轴承非稳态非线性油膜力的理论研究和寻求其解析或半解析解的方法提供了多渠道的理论依据和应用途径,对于旋转机械的非线性动力分析有重要意义。作为应用提出了一个求解椭圆轴承非稳态非线性油膜力的高精度半解析公式。

The solution of the Reynolds equation under Reynolds boundary conditions for the fluid lubrications is translated to a free boundary problem. The equivalent variational principles of this free boundary problem are categorized and proved. By means of these variational principles, the unsteady nonlinear forces of sliding bearings can be analyzed theoretically, and then the related analytical or semianalytical solutions might be found dependently. These works have important significance for the nonlinear dynamical analysis of turbine mechanism. Finally, as an application, a high precision semianalytical formulation of the unsteady nonlinear forces of the elliptic bearing is presented.