The free vibrations of flexible shallow shells with complex planform are studied. To analyze the natural frequencies and modes of linear vibrations, the R-function and Rayleigh–Ritz methods are used. A discrete model is obtained using the Bubnov–Galerkin method. The nonlinear vibrations are studied by combining the nonlinear normal mode method and the multiple-scales method. Skeleton curves of natural vibrations are drawn
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Translated from Prikladnaya Mekhanika, Vol. 46, No. 5, pp. 106–114, May 2010.
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Breslavskii, I.D., Avramov, K.V. Vibrations of a complex-shaped panel. Int Appl Mech 46, 580–587 (2010). https://doi.org/10.1007/s10778-010-0344-y
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DOI: https://doi.org/10.1007/s10778-010-0344-y