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Nonlinear vibrations of circular plates with notches. Method of \(R\)-functions. (Russian, English) Zbl 1201.74206

Mat. Metody Fiz.-Mekh. Polya 52, No. 2, 118-127 (2009); translation in J. Math. Sci., New York 170, No. 6, 708-720 (2010).
The author presents results of an investigation of nonlinear vibrations of circular plates with two notches. The \(R\)-function method is used to determine the natural frequencies of the vibrations. Nonlinear vibrations of a plate are expanded in eigenmodes of linear vibrations which contain \(R\)-functions.

MSC:

74K25 Shells
74H45 Vibrations in dynamical problems in solid mechanics