The effect of inertial inhomogeneity on the flutter of a cantilevered flexible plate

We study the effect of adding discrete structural mass on the linear stability of an otherwise homogeneous cantilevered-free flexible plate immersed in uniform axial flow. The methods of Howell et al. that mixed numerical simulation with eigenvalue analysis are simply extended for the present study....

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Main Authors: Howell, Richard, Lucey, Anthony, Pitman, Mark
Format: Journal Article
Published: Elsevier Ltd. 2011
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/14515
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author Howell, Richard
Lucey, Anthony
Pitman, Mark
author_facet Howell, Richard
Lucey, Anthony
Pitman, Mark
author_sort Howell, Richard
building Curtin Institutional Repository
collection Online Access
description We study the effect of adding discrete structural mass on the linear stability of an otherwise homogeneous cantilevered-free flexible plate immersed in uniform axial flow. The methods of Howell et al. that mixed numerical simulation with eigenvalue analysis are simply extended for the present study. An ideal two-dimensional flow is assumed wherein the rotationality of the boundary-layers is modelled by vortex elements on the solid–fluid interface and the imposition of the Kutta condition at the plate’s trailing edge. The Euler– Bernoulli beam model is used for the structural dynamics. It is shown that addition of mass to the plate can be either stabilising or destabilising, depending upon the location of the added mass, and how its inclusion modifies the energy exchanges of the corresponding homogeneous structure. Our results therefore suggest a straightforward means by which the critical flow speed at which low-amplitude flutter sets in can be passively controlled in engineering applications.
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spelling curtin-20.500.11937-145152019-02-19T04:26:12Z The effect of inertial inhomogeneity on the flutter of a cantilevered flexible plate Howell, Richard Lucey, Anthony Pitman, Mark Fluid-structure interaction Flexible surface Modal analysis Computational modelling Flutter instability We study the effect of adding discrete structural mass on the linear stability of an otherwise homogeneous cantilevered-free flexible plate immersed in uniform axial flow. The methods of Howell et al. that mixed numerical simulation with eigenvalue analysis are simply extended for the present study. An ideal two-dimensional flow is assumed wherein the rotationality of the boundary-layers is modelled by vortex elements on the solid–fluid interface and the imposition of the Kutta condition at the plate’s trailing edge. The Euler– Bernoulli beam model is used for the structural dynamics. It is shown that addition of mass to the plate can be either stabilising or destabilising, depending upon the location of the added mass, and how its inclusion modifies the energy exchanges of the corresponding homogeneous structure. Our results therefore suggest a straightforward means by which the critical flow speed at which low-amplitude flutter sets in can be passively controlled in engineering applications. 2011 Journal Article http://hdl.handle.net/20.500.11937/14515 10.1016/j.jfluidstructs.2010.11.014 Elsevier Ltd. fulltext
spellingShingle Fluid-structure interaction
Flexible surface
Modal analysis
Computational modelling
Flutter instability
Howell, Richard
Lucey, Anthony
Pitman, Mark
The effect of inertial inhomogeneity on the flutter of a cantilevered flexible plate
title The effect of inertial inhomogeneity on the flutter of a cantilevered flexible plate
title_full The effect of inertial inhomogeneity on the flutter of a cantilevered flexible plate
title_fullStr The effect of inertial inhomogeneity on the flutter of a cantilevered flexible plate
title_full_unstemmed The effect of inertial inhomogeneity on the flutter of a cantilevered flexible plate
title_short The effect of inertial inhomogeneity on the flutter of a cantilevered flexible plate
title_sort effect of inertial inhomogeneity on the flutter of a cantilevered flexible plate
topic Fluid-structure interaction
Flexible surface
Modal analysis
Computational modelling
Flutter instability
url http://hdl.handle.net/20.500.11937/14515