On Stochastic Resonance in Pipeline, Induced by Pulsed Fluid Flow

Proceedings of the 14th Conference on Applied Mathematics APLIMAT 2015 2015
Jevgeņijs Carkovs, Andrejs Matvejevs

This paper deals with stability analysis of elastic pipes containing water flow, the velocity of which is perturbed harmonically with random rush of phas. Applying diffusion approximation approch to analysis of Markov dynamical systems we derive the Lyapunov index for the pipe shapes. We have proved that for the pipe safekeeping examination is not suffuiicient only to make analysis of the first shape dynamics but also we should examine the Lyapunov index for the shapes of more large numbers.

Keywords
Pipeline dynamics; stochastic resonance; Markov dynamical systems.

Carkovs, J., Matvejevs, A. On Stochastic Resonance in Pipeline, Induced by Pulsed Fluid Flow. In: Proceedings of the 14th Conference on Applied Mathematics APLIMAT 2015, Slovakia, Bratislava, 3-5 February, 2015. Bratislava: Slovak University of Technology in Bratislava, Publishing House of STU, 2015, pp.167-174. ISBN 978-80-227-4143-3.

Publication language
English (en)