The use of Markov chain theory in the problem of the dynamic stability of an elastic rod

The stability of the vertical position of an elastic rods, hinged at the ends and loaded at the upper end with a time-dependent longitudinal force containing a stochastic component, is considered. A homogeneous Markov chain is used to model the stochastic component. An inequality is obtained that de...

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Veröffentlicht in:	Journal of applied mathematics and mechanics 2013, Vol.77 (2), p.225-229
1. Verfasser:	Antonov, I.L.
Format:	Artikel
Sprache:	eng
Schlagworte:	Damping Dynamic stability Inequalities Markov chains Mathematical models Rods Stability Stochasticity
Online-Zugang:	Volltext
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