The Nonlinear Hydroelastic Behaviour of Flexible Walls

Lucey, Anthony D.; Cafolla, G. J.; Carpenter, Peter W.; Yang, Mengmeng

doi:10.1006/jfls.1997.0107

Cited by 35 publications

(44 citation statements)

References 24 publications

(55 reference statements)

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“…The wave did not, however, take the peculiar shape revealed in the experiments of Gad-el-Hak, Blackwelder & Riley (1984). Lucey et al (1997) have shown that it is necessary to include nonlinear effects in both the fluid and wall dynamics to explain the peculiar shape. The numerical requirements for the values of the compliant wall parameters are straightforward.…”

Section: Monoharmonic Analysismentioning

confidence: 93%

Turbulence over a compliant surface: numerical simulation and analysis

Rempfer

Lumley

2003

J. Fluid Mech.

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In this paper we present results from a numerical investigation of turbulent channel flow in the presence of a compliant wall. The compliant wall is modelled as a homogeneous spring-supported plate. The simulation code is validated both by comparison with an alternative code and by reproducing results of linear stability theory. Our results demonstrate that with the wall compliance we used in the simulation there is little change in the very long-time behaviour of the turbulent skin friction drag and little modification to the near-wall turbulent coherent structures. The values of pertinent statistical quantities of the turbulence near the compliant walls converge to those near a rigid wall and the statistical effect of the wall compliance on the turbulent channel flow is small.

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Section: Monoharmonic Analysismentioning

confidence: 93%

Turbulence over a compliant surface: numerical simulation and analysis

Rempfer

Lumley

2003

J. Fluid Mech.

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“…The form of equation (3.3) shows the pressure to comprise the hydrodynamic stiffness (curvature effects), followed by two terms, which yield the hydrodynamic damping (Coriolis effects), and the final term, which represents the hydrodynamic inertia (added-mass effects). The foregoing solution method for the flow field is described in more detail in Lucey et al (1997) wherein expressions for the various influence coefficients are listed. We now proceed to assemble the system equation.…”

Section: Eigenvalue Determination (A ) a Single Governing Equation Fomentioning

confidence: 99%

“…In the results of this section, we use the non-dimensional scheme of Lucey et al (1997), which is appropriate to the finite system studied herein. Thus, the nondimensional control parameter (or stiffness ratio), vertical displacement and time are given by…”

Section: (A ) Simple Elastic Platementioning

confidence: 99%

On the direct determination of the eigenmodes of finite flow–structure systems

Pitman

Lucey

2008

Proc. R. Soc. A.

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A new method for directly determining the eigenmodes of finite flow-structure systems is presented using the classical problem of the interaction of a uniform incompressible flow with a flexible panel, held at both ends, as an exemplar. The method is a hybrid of theoretical analysis and computational modelling. This method is contrasted with Galerkin and travelling-wave methods, which are most often used to study the hydroelasticity of such systems. The new method does not require an a priori approximation of perturbations via a finite sum of modes. Instead, the coupled equations for the wall-flow system are used to derive a single matrix equation for the system that is a second-order differential equation for the panel-displacement variable. This is achieved in this exemplar by applying a combination of boundary-element and finite-element methods to the discretized system. Standard statespace methods are then used to extract the eigenmodes of the system directly. We present the results for the stability of the case of an unsupported flexible plate, elucidating its divergence and flutter characteristics, and the effect of energy dissipation in the structure. We then present the results for the case of a spring-backed flexible plate, showing that its motion is dominated by travelling waves. Finally, we illustrate the versatility of the approach by extracting the stability diagrams and modes for a panel with spatially varying properties and a panel with non-standard boundary conditions. In doing so, we show how spatial inhomogeneity can modify the energy exchanges between flow and structure, thereby introducing a single-mode flutter instability at pre-divergence flow speeds.

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“…Recently, numerical simulations of the linear evolution of disturbance waves in a channel, the lower wall being covered with a compliant panel of "nite length, have been performed by Davies & Carpenter (1997a). The response of compliant walls to uniform #ow has recently been studied by Lucey et al (1997a) using a nonlinear model for the wall mechanics. The #uid perturbation pressure is evaluated assuming unsteady potential #ow, and it is shown that the #uid-structure interaction may lead to the appearance of nonlinear divergence waves.…”

Section: Introductionmentioning

confidence: 99%