Results 211 to 220 of about 44,981 (267)

On the vibrations of rectangular plates

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1991
SynopsisWe 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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Secondary States of Rectangular Plates

SIAM Journal on Applied Mathematics, 1980
The 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., Putnick, Leonard J., Reiss, Edward L.   +2 more
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Buckling of rectangular mindlin plates

Computers & Structures, 1982
Abstract The elastic buckling of rectangular Mindlin plates is considered using two related methods of analysis. These methods are the Rayleight-Ritz method and one of its piece-wise forms, the finite strip method. Arbitrary combinations of the standard boundary conditions of clamped, simply-supported and free edges are accommodated by the use in the
Dawe, D. J., Roufaeil, O. L.
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Flexural Vibrations of Rectangular Plates

Journal of Applied Mechanics, 1956
Abstract 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., Schacknow, A., Deresiewicz, H.   +2 more
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On Creep Rupture of Rectangular Plates

ZAMM, 2002
Summary: 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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Vibration Analysis of a Rectangular Plate

Journal of the Franklin Institute, 1973
Abstract 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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Vibrations of a Rectangular Cantilever Plate

Journal of the Aerospace Sciences, 1962
A 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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On the Analysis of Thick Rectangular Plates

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1974
Thick rectangular plates are investigated using the method of initial functions proposed by Vlasov. The governing equations are derived from the three-dimensional elasticity equations using a MacLaurin series approach. As the governing equations can be obtained in the form of series, approximate theories of any desired order can be constructed easily ...
Iyengar, KTSR, Chandrashekhara, K, Sebastian, VK   +2 more
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Vibrations of Free Rectangular Plates

Proceedings of the Physical Society. Section B, 1949
Records theta are given of the normal vibrating modes and frequencies of free rectangular plates between the limiting shapes of the bar and the square. The nodal systems, which in general consist of straight lines parallel to the sides, are, from considerations of symmetry, divided into four classes.
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