Eigen-analysis of an inviscid channel flow with a finite flexible plate in one wall

A state-space method is used to investigate the surface instabilities of a flexible plate comprising one wall of an inviscid channel flow computationally modelled with a finite-difference method coupled with a boundary-element method. Simple elastic and spring-backed plates are considered and in bot...

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Bibliographic Details
Main Authors: Burke, M., Lucey, A., Howell, Richard, Elliott, N.
Format: Book Chapter
Published: 2014
Online Access:http://hdl.handle.net/20.500.11937/22572
Description
Summary:A state-space method is used to investigate the surface instabilities of a flexible plate comprising one wall of an inviscid channel flow computationally modelled with a finite-difference method coupled with a boundary-element method. Simple elastic and spring-backed plates are considered and in both cases it is found that reducing the height of the channel causes divergence and modal-coalescence to occur at lower flow velocities. An analytical prediction for an infinitely long plate is also developed and the divergence-onset predictions are compared with those obtained by the state-space method for a spring-backed plate.