Articulated pipes conveying fluid pulsating with high frequency
type: Item
instance of: scholarly article
title: Articulated pipes conveying fluid pulsating with high frequency
zbMATH Open document ID: 0956.74012
DOI: 10.1023/A:1008326812760
published in: Nonlinear Dynamics
publication date: 2001-02-27T00:00:00Z
review text: The author investigates stability and nonlinear dynamics of two articulated pipes conveying fluid with a high-frequency pulsating component. The non-autonomous model equations are converted into autonomous ones by approximating fast excitation terms with slowly varying terms. The downward hanging pipe position will lose stability if the mean flow speed exceeds a certain critical value. Adding a pulsating component to the fluid flow is shown to stabilize the hanging position for high values of the ratio between fluid and pipe masses, and to marginally destabilize this position for low ratios. The author presents stability analysis of the downward hanging position with respect to flutter instability, showing the stabilizing/destabilizing effects of the high-frequency flow pulsations. The method of multiple scales is used to analyse local nonlinear behaviour, i.e. the transition from super- to sub-critical Hopf bifurcations when the pulsating fluid component is added. Then the large-amplitude flutter motion is analyzed by using a path-following program based on numerical integration of the autonomous set of model equations.
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74H60
Mathematics Subject Classification ID: 70K70
Mathematics Subject Classification ID: 70K50
zbMATH DE Number: 1396391
zbMATH Keywords: two articulated pipes
zbMATH Keywords: high-frequency pulsating fluid
zbMATH Keywords: separation on slow and fast motions
zbMATH Keywords: nonlinear dynamics
zbMATH Keywords: stability of downward hanging position
zbMATH Keywords: flutter instability
zbMATH Keywords: method of multiple scales
zbMATH Keywords: Hopf bifurcations
zbMATH Keywords: path-following program
zbMATH Keywords: autonomous model equations
author: Jakob S. Jensen
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: a:1008326812760
OpenAlex ID: W100748271
description: scientific article; zbMATH DE number 1396391