The stability of the equilibrium of a wing in an unsteady flow (Q2761276)

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scientific article; zbMATH DE number 1683331
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English
The stability of the equilibrium of a wing in an unsteady flow
scientific article; zbMATH DE number 1683331

    Statements

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    18 December 2001
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    wing in nonstationary flow
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    Lyapunov stability
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    thin plate
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    nonlinear ordinary integro-differential equation
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    first Lyapunov method
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    stability
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    rotational motion
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    nonlinear viscoelastic material
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    critical case
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    single zero root
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    characteristic equation
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    Lyapunov constants
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    The stability of the equilibrium of a wing in an unsteady flow (English)
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    The author considers the motion of a heavy rigid wing with a fixed point under the action of nonstationary flow. It is assumed that the wing form is close to a thin plate, and the wing is fastened using a nonlinear viscoelastic material. The motion of wing is described by a system of nonlinear ordinary integro-differential equations. Using the series similar to those in the first Lyapunov method, the author analyzes the stability of wing equilibrium for rotational motion of wing.
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