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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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Forging of rectangular plates

International Journal of Machine Tool Design and Research, 1973
Abstract An upper bound solution is constructed for determining the material flow and die pressure developed during forging of a rectangular plate between two flat dies. It is taken that the dies completely cover the specimen. During compression of such specimen both the bulging of lateral sides and barrelling along the thickness of the specimen take
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Dynamics of rectangular plates

International Journal of Engineering Science, 1969
Abstract The dynamic response of a simply supported rectangular plate is treated within the framework of classical, three-dimensional elasticity theory. The plate is subjected to a suddenly applied, uniformly distributed transverse load over a rectangular area, the sides of which are parallel and perpendicular to the sides of the plate.
Lee, Y.-C., Reismann, H.
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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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Extensional Vibrations of Rectangular Crystal Plates

Thirty Fifth Annual Frequency Control Symposium, 1981
A system of one-dimensional equations governing the extensional (contour) modes of vibrations in rectangular crystal plates is derived from the Cauchy–Voigt two-dimensional equations of extensional motion of anisotropic, elastic plates. The system of equations is further divided into two groups of equations governing, separately, the symmetric (contour
P. C. Y. Lee, M. Nakazawa, J. P. Hou
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Autorotation of rectangular plates

Journal of Fluid Mechanics, 1990
A series of tests have been conducted on the autorotation of plates of rectangular section and thickness to chord ratios of from 0.1 to 1.0. The major difference from previous work was that the plates spanned the full width of the wind tunnel, i.e. the flow was essentially two-dimensional. The results show major differences from predictions of infinite
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Bending of Rectangular Plates

Journal of the Structural Division, 1961
Structural model is described and analyzed for numerical solution; plate model consists of 2 groups of beams intersecting at right angles, one group being continuous over other; twisting moments in plate are carried by pairs of coil springs; loads are assumed to be concentrated at beam intersections; this procedure provides elastic surface, moments ...
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Rectangular Plates

2001
Eduard Ventsel, Theodor Krauthammer
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Thick rectangular plates—I

International Journal of Mechanical Sciences, 1983
David W. Cooke, Mark Levinson
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