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Buckling of rectangular mindlin plates
Computers & Structures, 1982Abstract 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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On the Analysis of Thick Rectangular Plates
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1974Thick 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 +2 more
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Vibrations of Free Rectangular Plates
Proceedings of the Physical Society. Section B, 1949Records 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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Hydroelastic Vibration of Rectangular Plates
Journal of Applied Mechanics, 1996This paper is concerned with the virtual mass effect on the natural frequencies and mode shapes of rectangular plates due to the presence of the water on one side of the plate. The approximate formula, which mainly depends on the so-called nondimensionalized added virtual mass incremental factor, can be used to estimate natural frequencies in water ...
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On the Torsion of Rectangular Sandwich Plates
Journal of Applied Mechanics, 1956Abstract The torsional rigidity of rectangular sandwich plates of constant thickness is calculated, with cross sections assumed free to warp. The faces are isotropic and of equal thickness while the core may be orthotropic, the axes of orthotropy coinciding with co-ordinate axes of the structure.
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On Vibrations of Pretwisted Rectangular Plates
Journal of Applied Mechanics, 1962This paper contains an analysis of the free vibrations of uniformly pretwisted rectangular plates, utilizing the exact equations of classical shallow-shell theory. Specifically, solutions are given (a) for two opposite edges simply supported and the other two free, and (b) for all four edges simply supported. Numerical results obtained for case (b) are
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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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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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American Journal of Physics, 1954
A uniform rectangular plate is arranged so that it oscillates in its own plane around either one of two axes, one at the center of each edge. The analysis shows that there is a particular ratio of the lengths of the two sides (in addition to unity) for which the two periods are equal, and still another ratio giving the minimum period.
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A uniform rectangular plate is arranged so that it oscillates in its own plane around either one of two axes, one at the center of each edge. The analysis shows that there is a particular ratio of the lengths of the two sides (in addition to unity) for which the two periods are equal, and still another ratio giving the minimum period.
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2017
Many structures such as boiler casings (Figure 7.1), submarine bulkheads, ship and barge hulls, ducts (Figure 7.2), aircraft components, and machine parts are designed in accordance with the general bending theory of plates. In this chapter, the pertinent equations of the bending theory of plates are developed, and examples are solved to demonstrate ...
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Many structures such as boiler casings (Figure 7.1), submarine bulkheads, ship and barge hulls, ducts (Figure 7.2), aircraft components, and machine parts are designed in accordance with the general bending theory of plates. In this chapter, the pertinent equations of the bending theory of plates are developed, and examples are solved to demonstrate ...
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Autorotation of rectangular plates
Journal of Fluid Mechanics, 1990A 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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