ON THE EXISTENCE OF STABLE STATIONARY FORCED VERTICAL VIBRATIONS IN RAILWAY VEHICLE SYSTEM DYNAMICS
1992
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.
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