The article considers the problem of vibrations straight sections pipeline based on theory beams. A mathematical model dynamics a viscoelastic pipe with pulsating fluid is developed. speed assumed to be harmonically fluctuating and has following form: V ( t ) = υ 0 (1 + μ 1 cosϖt ). simplified using Bubnov-Galerkin approach solution set common integro-differential equations time as an independe...

In the past, stability of an undamped clamped-pinned pipe conveying fluid has been always considered numerically leading to controversial results. Païdoussis (2004) has shown that a numerical stability analysis of a clamped-pinned pipe requires exceptionally large number of vibration modes to obtain the correct dynamical behaviour. In this paper, analytical proof of stability of a clamped-pinne...