Fluid flow-induced nonlinear vibration of suspended cables
type: Item
instance of: scholarly article
title: Fluid flow-induced nonlinear vibration of suspended cables
zbMATH Open document ID: 0938.74026
DOI: 10.1023/A:1008223909270
author: J. Ning
published in: Nonlinear Dynamics
publication date: 2000-06-13T00:00:00Z
review text: The article considers the nonlinear dynamics of immersed cables exposed to constant speed fluid flow along the cable plane. Above certain critical flow speed, the cable may experience oscillatory motion similar to the flutter of aeroelastic structures. The analysis considers nonlinear in-plane two-mode interaction with the fluid when the fluid moves in the plane of the cable. A coordinate transformation, in terms of transverse and stretching motions, proposed in [\textit{V. N. Pilipchuk}, Sov. Appl. Mech. 22, 162-168 (1986; Zbl 0625.73065); translation from Prikl. Mekh., Kiev 22, No. 2, 78-85 (1986)], is introduced to simplify the equations of motion. One of the transformed equations is a linear differential equation describing the stretching motion, while the other is strongly nonlinear equation describing the transverse motion. The numerical simulation is given, that includes nonlinear modal interaction under constant flow speed.
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74H45
zbMATH DE Number: 1089289
zbMATH Keywords: critical flow speed
zbMATH Keywords: in-plane two-mode interaction
zbMATH Keywords: divergence and flutter stability
zbMATH Keywords: two-time-scale asymptotic analysis
zbMATH Keywords: hydrodynamic forces
zbMATH Keywords: coordinate transformation
zbMATH Keywords: stretching motion
zbMATH Keywords: transverse motion
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1089289