``Nonlinear normal modes and the generalized Ritz method in the problems of vibrations of nonlinear elastic continuous systems

DOI10.1016/0020-7462(83)90042-2zbMath0514.73047OpenAlexW2047573853MaRDI QIDQ1051498

Wanda Szemplińska-Stupnicka

Publication date: 1983

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(83)90042-2

zbMATH Keywords

natural frequenciesapproximate solutionnatural vibrationsamplitude-frequency relationtruncated seriestwo examplesbeams with nonlinear boundary conditionsgeneralization of Ritz methodnonlinear elastic systemsset of functions of spatial variables is unknownvariations of normal mode shapes

Mathematics Subject Classification ID

Newton-type methods (49M15) Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Free motions in linear vibration theory (70J30)

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