基于Newton-Raphson算法的径向轴承瞬态热流体动力润滑的研究

建立了径向轴承在载荷和速度突然变化时的三维数学模型，模型中考虑了轴瓦的热变形，在油膜和轴瓦交界面采用热流连续的理想边界条件，数值模拟轴承的瞬态温度场，并对轴承的瞬态性能进行分析。在每一瞬时，用Newton—Raphson算法同时求解Reynolds方程、膜厚方程和轴颈运动方程获得轴承油膜的压力分布和轴颈中心的运动速度，然后数值积分压力分布得到轴承的油膜力，差分运动速度得到轴颈中心位置和运动加速度。用一有效的有限差分法同时求解油膜和轴瓦的温度控制方程。最后将Reynolds方程和能量方程通过节点压力和温度相耦合获得轴承的瞬态三维温度场。结果表明本所介绍的方法收敛快，大大节约计算时间。

A Transient Thermohydrodynamics Study of Plain Journal Bearings Using Newton-Raphson Method Analysis

The present paper proposes three-dimensional model necessary to calculate the transient temperature field in a journal bearing submitted to a sudden change in speed and load and analyzes the bearing performance numerically. Thermal deformation of the bush and realistic thermal boundary conditions at oil and bush interface are considered. At each time step a Newton-Raphson method is used to solve the Reynolds equation, film thickness equation and the motion equation of the journal simultaneously to obtain the pressure distribution and the velocity of the journal center. Then the fluid film force is acquired through integral of fluid film force and the acceleration and position of the journal center are acquired through differences of the velocity. The energy equations of the oil film and the bush are solved simultaneously by using an efficient finite difference scheme. Then the transient three dimensional temperature field of the bearing is acquired by combining the energy equations and the Reynolds equation through the nodal temperature and pressure. It is found that the approaches introduced here converge quickly and save calculation time greatly.