Riesz basis property of mode shapes for aircraft wing model (subsonic case)

DOI10.1098/RSPA.2005.1579zbMath1149.76636OpenAlexW2111744953MaRDI QIDQ3503275

Marianna A. Shubov

Publication date: 22 May 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2005.1579

zbMATH Keywords

Riesz basisaeroelastic modesflutterTheodorsen functionFredholm operator-valued analytic functionsnon-self-adjoint integro-differential operator

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) General aerodynamics and subsonic flows (76G25) Integro-differential operators (47G20) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (4)

On the completeness of root vectors generated by systems of coupled hyperbolic equations ⋮ Flow-plate interactions: well-posedness and long-time behavior ⋮ Reduction of boundary value problem to Possio integral equation in theoretical aeroelasticity ⋮ On the completeness of root vectors of a certain class of differential operators

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• Subsonic flutter suppression using self-straining actuators
• Asymptotic representations for root vectors of nonselfadjoint operators and pencils generated by an aircraft wing model in subsonic air flow

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