Free vibration analysis of rocket nozzles using energy methods

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The vibration characteristics of stiffened thin shells are studied numerically within the context of the Donnell-Mushtari theory. Different stiffener spacing and dimensions are considered in the formulations. The natural frequencies of a clamped-free ring-stiffened truncated conical shell are calculated by the use of the Rayleigh-Ritz method and compared with ANSYS. The conical shell model is extended to approximate shells of revolution with small curvature and a study of the Vulcain 2NE skirt with different stiffener arrangements, using the developed method, has been performed. This is done to gain understanding of how different frequency regions are effected by variation of stiffener dimensions and numbers. From the study, it can be concluded that the membrane frequencies are fairly insensitive of different stiffener arrangements and more than fifteen stiffeners have little influence on the bending frequencies. The st...