ON THE EXISTENCE OF STABLE STATIONARY FORCED VERTICAL VIBRATIONS IN RAILWAY VEHICLE SYSTEM DYNAMICS

Abstract

Applying some mathematical results on the asymptotic behaviour of solutions of stationary stochastic differential equations elaborated by H. BUNKE [2] and T. V. NHUNG [3-5], we derive explicit conditions ensuring the existence of the stable stationary forced vertical vibrations of the railway vehicle dynamic system model which was constructed by I. ZOBORY [6]. By using the Routh-Hurwitz criterion (see e. g. L. ARNOLD [1], p. 196) our stability conditions are stated in terms of algebraic inequalities involving parameters of the system model. Those inequalities can be easily checked by computers.