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Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates
Author(s) -
Yamaki Noboru
Publication year - 1961
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19610411204
Subject(s) - vibration , amplitude , boundary value problem , nonlinear system , bending , materials science , mechanics , boundary (topology) , classical mechanics , physics , composite material , mathematical analysis , acoustics , mathematics , optics , quantum mechanics
Abstract Approximate solutions for the nonlinear bending vibrations of thin plates are presented for the cases of rectangular and circular plates subjected to various boundary conditions, and the effects of large amplitudes on both the free and forced vibrations are clarified.