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