Journal of Theoretical
and Applied Mechanics

25, 4, pp. 611-620, Warsaw 1987

Zastosowanie procesów markowa do modelowania i badania układu mechanicznego tor-pojazd szynowy

Włodzimierz Choromański, Jerzy Kisilowski, Bogdan Raciborski

The investigation of the lateral dynamics of the track-railway vehicle system is extremely important due to the specific features of such a system. The problem is how obtain a one point contact between the rolling wheel and rail. The authors propose to use the theory of Markow processes and the stochastic ITO equations to solve the problem. Although the results are obtained there a concrete mechanical system the presented method seems to be applicable to arbitrary mechanical systems described by a set of ordinary differential equations, subject to constraints and random loading.