Stability analysis with lumped mass and friction effects in elastically supported pipes conveying fluid

A Perturbation Approach to Analyze the Vibration of Structures Conveying Fluid

“…The dynamic equation (1) may be recast in terms of a ®nite element formulation. Chen and Fan [5] have given a formulation in terms of Timoshenko beam theory. In this paper the pipe motion is derived by using Euler theory.…”

The Dynamic Analysis of a Multispan Fluid-Conveying Pipe Subjected to External Load

“…From the existing literature, one "nds that most of the researchers studied the stability problem of the piping systems [1}7, 9}12], whereas fewer researchers have studied the forced vibration of a #uid-conveying pipe [3,8,9,12]. Most dynamic analyses of a &&single-span'' piping system are performed using the assumed mode (or modal analysis) method [1}4, 7] or FEM [5,6], but those of a &&periodically supported'' #uid-conveying piping system are solved with the wave approach [10}12]. This is because the dynamic equation of motion for any span of the latter system is the same and the amount of computation for the wave approach is independent of the number of spans.…”

Forced and Self-Excited Vibrations of Pipes Containing Mobile Boiling Fluid Clots

“…In subsequent papers general questions of the stability of pipe systems conveying fluid were studied [6,7], together with the dependancy of the peculiarities of pipe vibrations on boundary conditions [8,9]; the publishing of records of continuously changing fluid pressure and flow velocity [10,11]; the development of more accurate theory of beams [12,13]; the influence of tension, damping and attached mass at the lower end of a vertical pipe [14,15] the effect of an elastic support in an intermediate cross-section [16,17] and the evaluation of elastic foundations [18], torsional stiffness of clamping [19] and other factors [20][21][22].…”