Geometrically non-linear free vibrations of clamped simply supported rectangular plates. Part I: the effects of large vibration amplitudes on the fundamental mode shape |
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Authors: | K El Bikri R Benamar M Bennouna |
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Affiliation: | a Laboratoire de Mécanique Appliquée et de Technologie, Ecole Normale Supérieure de l’Enseignement Technique-Rabat, BP 6207, Rabat Instituts, 10100 Rabat, Morocco b Laboratoire d’Etudes et de Recherches en Simulation, Instrumentation et Mesures, Université Mohammed V, Ecole Mohammadia des Ingénieurs, BP 765 Rabat, Morocco c Laboratoire de Vibration et Acoustique, Université Mohammed V, Ecole Mohammadia des Ingénieurs, BP 765 Rabat, Morocco |
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Abstract: | The geometrically non-linear free vibrations of thin isotropic and laminated rectangular composite plates with fully clamped edges have been successfully investigated in previous series of works using a theoretical model based on Hamilton’s principle and spectral analysis. The objective of this work is the extension of the above model to the case of clamped clamped simply supported simply supported rectangular plates, denoted by CCSSSSRP, in order to determine their fundamental non-linear mode shape, and associated amplitude-dependent resonant frequencies, and flexural stress distribution. Numerical data are given for both linear and non-linear analysis, for various plate aspect ratios and vibration amplitudes. Good agreement was found with previous published results. |
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Keywords: | Non-linear free vibrations Spectral analysis |
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