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ИСТИНА ЦЭМИ РАН |
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We investigate the stability of an infinite elastic plate in a supersonic gas flow. This problem has been studied in many papers regarding panel flutter problem, where uniform flow is usually considered. In this paper, we take the boundary layer on the plate into account and investigate its influence on plate stability. Unsteady pressure is derived from Rayleigh equation, which governs inviscid disturbances of the boundary layer. If the wave length is not too large, Rayleigh equation is solved analytically; otherwise it is studied numerically. In both cases dispersion relation for a plate in supersonic flow with boundary layer is derived, and the influence of the boundary layer on the plate stability is analysed.