On conditions of flutter onset for elongated plate in supersonic gas flow |
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| Authors: | Boris Loginov Oleg Makeev |
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| Institution: | Chair of Higher Mathematics, Ulyanovsk State Technical University, Ulyanovsk, Russia |
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| Abstract: | The scheme developed in 1] of the investigation of Poincaré–Andronov-Hopf bifurcation on the base of the Lyapounov-Schmidt method is applied to two boundary value problems for nonlinear ordinary differential equation describing the oscillations of an elongated plate in supersonic gas flow. Necessary conditions for the existence of periodic solutions are obtained. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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