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On the vibrations of rectangular plates
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1991SynopsisWe prove that, for every non-empty open subset of a rectangular plate, there exists a positive number T such that no vibration of this plate with fixed edges can remain strictly above the rest position at all points of the subset during a period T.
Haraux, Alain, Komornik, Vilmos
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Flexural Vibrations of Rectangular Plates
Journal of Applied Mechanics, 1956Abstract The influence of rotatory inertia and shear deformation on the flexural vibrations of isotropic, rectangular plates is investigated. Three independent families of modes are possible when the edges are simply supported. Coupling of the modes is studied for the case of one pair of parallel edges free and the other pair simply ...
Mindlin, R. D. +2 more
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On Creep Rupture of Rectangular Plates
ZAMM, 2002Summary: The paper deals with the evaluation of life-time of creeping plates. In particular, the boundary conditions and effects of equivalent stress are studied. Both, the role of failure mechanism modes governed by maximum principal stress and effective stress, as well as the effect of compressive stress are evaluated. The analysis covers two periods
Bodnar, A., Chrzanowski, M.
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Vibrations of a Rectangular Cantilever Plate
Journal of the Aerospace Sciences, 1962A Fourier sine-series method is used to solve the differential equation, together with the boundary conditions, for the transverse vibrations of a thin rectangular cantilever plate. Frequencies of vibration and the corresponding nodal lines are calculated and plotted as functions of the ratio of sides for five symmetric and four antisymmetric modes ...
Claassen, R. W., Thorne, C. J.
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Vibration Analysis of a Rectangular Plate
Journal of the Franklin Institute, 1973Abstract Presented herein is a detailed analysis of the small, free oscillations of pre- stressed rectangular plates in both pre- and post-buckling ranges. The simply supported plate is stressed either thermally or by the uniaxial in-plane loads on two opposite edges, the other two edges are taken to be either freely movable or immovable, and all the
Dökmeci, M. Cengiz, Boley, Bruno A.
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Secondary States of Rectangular Plates
SIAM Journal on Applied Mathematics, 1980The secondary buckling of rectangular elastic plates is studied as a problem of secondary bifurcation. The nonlinear von Karman plate theory is used in the analysis. The secondary bifurcation points, and the secondary states that bifurcate from them are determined by a previously developed perturbation method.
Matkowsky, Bernard J. +2 more
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