Abstract
Contact problem between a wheel and rail is a fundamental problem of railway vehicle dynamics. J.J.Kalker proposed the method for solving the contact problem considering the three-dimensional elastic theory using the active set method for optimal calculations required in solving the problem. It is shown that the proposed method using the primal-dual interior point method for optimal calculations is better in calculating speed than Kalkers original method. It is also found that the area which has to be analyzed can be calculated reasonably and automatically using our proposed method. We have concluded that one can solve the contact problem by our proposed method about 2 to 10 times faster than by Kalker's original algorithm.