Abstract: In over loading situation, research on effective and reliable numerical algorithm of entraining velocity vector that has oblique angles with the minor axis of Hertzian contact ellipse，which has no sufficient technique so far. In order to crack this hard nut, the semi-system approach is used, and discrete differential equation is set up. The Gauss-Seidel iteration method is used to solve the system of equations. The fast Fourier transform method is used to calculate the elastic deformation for point contact. The completely numerical solution is gotten and some typical examples are given under the light loading and overloading situation. The results show that, under the condition of light loading, oil film distribution is in accordance with previous research. And under the condition of overloading, the algorithm successfully calculates lubrication that entraining velocity vector which has oblique angles with the minor axis of Hertzian contact ellipse. The increased the angles between entraining velocity vector and the minor axis of Hertzian ellipse reduces central film thickness and minimum film thickness, the symmetry of film image from x-axis turns to y-axis.

Key words: elastohydrodynamic lubrication;semi-system approach;elliptical contact;entraining velocity