Influence of Boundary Conditions Relaxation on Panel Flutter
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The problem of nonlinear panel flutter with relaxation in the boundary conditions is studied based on a phenomenological model of joint preload relaxation. The conventional boundary value problem of the panel involves time-dependent boundary conditions that will be converted into autonomous ones using a special coordinate transformation. The resulting boundary conditions will be combined with the governing non-homogeneous, partial differential equation that will include the influence of the boundary conditions relaxation. The analysis will be restricted to two-mode interaction and includes the influence of boundary conditions relaxation on the panel modal frequencies and limit cycle amplitudes in the time and frequency domains. The relaxation and system nonlinearities are found to have opposite effects on the frequency evolution of the panel.
Key wordsPanel flutter boundary condition nonlinear interaction
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