Dynamic Stability of Straight Cracked Pipes Resting on Winkler Elastic Foundation and Conveying Pulsatile Flow
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Abstract
The present study concerns with the dynamic stability of a straight cracked pipe resting on a Winkler elastic foundation. The pipe conveys pulsatile flow. The fluid velocity is a trigonometric harmonic function of time. The objective is to examine the influence of foundation rigidity on the critical velocity of the pipe. A numerical solution of the associated boundary value problem is approached by using the Galerkin method. The harmonic function of the fluid velocity allows the Floquet theory to be applied in order to investigate the dynamic stability of the system.
The pipeline transport is used worldwide in many sectors of the economy. The safety problems of pipes attract much interest in science and industry. The paper rises attention on the stability of pipes with pulsatile flow as not much attention is paid on them.
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