Dynamic Stability of Pipes Conveying Fluid With Stochastic Flow Velocity

Abstract The stochastic stability of supported cylindrical pipes conveying fluid, when the flow velocity is stochastically perturbed about a constant mean value, is considered in this paper. The intensity and the correlation time of the stochastic perturbations are assumed to be small in order to obtain approximate analytical results. Explicit results are obtained for stochastic stability boundaries by the use of a Markov diffusion approximation. The effects of the mean flow velocity, dissipative forces, boundary conditions, and virtual mass on the extent of the stochastic parametric instability regions are then discussed.

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