Direct Aeroelastic Bifurcation Analysis of a Symmetric Wing Based on the Euler Equations

The application of a sparse matrix solver for the direct calculation of Hopf bifurcation points for the flexible AGARD 445.6 wing in a transonic flow modeled using computational fluid dynamics is considered. The iteration scheme for solving the Hopf equations is based on a modified Newton's met...

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Veröffentlicht in:Journal of aircraft 2005-05, Vol.42 (3), p.731-737
Hauptverfasser: Badcock, K. J, Woodgate, M. A, Richards, B. E
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container_title Journal of aircraft
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creator Badcock, K. J
Woodgate, M. A
Richards, B. E
description The application of a sparse matrix solver for the direct calculation of Hopf bifurcation points for the flexible AGARD 445.6 wing in a transonic flow modeled using computational fluid dynamics is considered. The iteration scheme for solving the Hopf equations is based on a modified Newton's method. Direct solution of the linear system for the updates has previously been restrictive for application of the method, and the sparse solver overcomes this limitation. Previous work has demonstrated the scheme for aerofoil calculations. The current paper gives the first three dimensional results with the method, showing that an entire flutter boundary for the AGARD 445.6 wing can be traced out in a time comparable to that required for a small number of time marching calculations, yielding two orders of magnitude improvement when compared to the time marching approach.[PUBLICATION ABSTRACT]
doi_str_mv 10.2514/1.5323
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subjects Aircraft
Eulers equations
Exact sciences and technology
Flow velocity
Fluid dynamics
Fundamental areas of phenomenology (including applications)
General theory
Physics
Solid mechanics
Structural and continuum mechanics
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
title Direct Aeroelastic Bifurcation Analysis of a Symmetric Wing Based on the Euler Equations
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