Stochastic Stability of Pipeline, Induced by Pulsed Fluid Flow

15th Conference on Applied Mathematics (APLIMAT 2016): Proceedings 2016
Jevgeņijs Carkovs, Andrejs Matvejevs

The paper deals with linearized partial differential equation for analysis of the transverse oscillations of a pipeline section under an action of pulse fluid flow. Assuming the mathematical model of fluid-caused longitudinal force in cosine form with the Brownian phase and applying the stochastic modification of the second Lyapunov method we analyze a phase variance affect the pipeline section stability.

Keywords
Pipeline dynamics; stochastic resonance; Lyapunov exponents;random harmonic oscillator.

Carkovs, J., Matvejevs, A. Stochastic Stability of Pipeline, Induced by Pulsed Fluid Flow. In: 15th Conference on Applied Mathematics (APLIMAT 2016): Proceedings, Slovakia, Bratislava, 2-4 February, 2016. Bratislava: Slovak University of Thechnology, 2016, pp.189-196. ISBN 978-80-227-4531-4.

Publication language
English (en)