Journal ArticleDOI
Influence of Large Amplitudes on Free Flexural Vibrations of Rectangular Elastic Plates
Hu-Nan Chu,George Herrmann +1 more
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This article is published in Journal of Applied Mechanics.The article was published on 1956-12-01. It has received 258 citations till now. The article focuses on the topics: Hooke's law & Plate theory.read more
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Nonlinear Vibrations and Stability of Shells and Plates
TL;DR: In this article, a comparison of different shell theories for nonlinear vibrations and stability of circular cylindrical shells is presented. But the authors do not consider the effect of boundary conditions on the large-amplitude vibrations of circular cylinders.
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Non-linear vibration of a traveling tensioned beam
TL;DR: In this paper, a perturbation theory for the near-modal free vibration of a general gyroscopic system with weakly nonlinear stiffness and/or dissipation is derived through the asymptotic method of Krylov, Bogoliubov, and Mitropolsky.
Journal ArticleDOI
Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates
TL;DR: In this paper, 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.
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Nonlinear vibration of beams and rectangular plates
TL;DR: In this paper, einfluss von Vorspannungen auf die freien und erzwungenen nichtlinearen Schwingungen von Balken and rechteckigen Platten wird mittels einer einfachen Erweiterung der Losungen fur Falle ohne VorsPannung untersucht.
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Nonlinear vibrations of rectangular plates with different boundary conditions: theory and experiments
TL;DR: In this article, the von Karman nonlinear strain-displacement relationship is used for large-amplitude (geometrically nonlinear) vibrations of rectangular plates subjected to radial harmonic excitation in the spectral neighborhood of the lowest resonances.