Results 251 to 260 of about 934,417 (303)

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.
openaire   +2 more sources

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.
openaire   +1 more source

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
openaire   +2 more sources

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.
openaire   +2 more sources

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
openaire   +1 more source

The Vibration of Rectangular Plates

Proceedings of the Institution of Mechanical Engineers, 1954
In this paper are considered the free transverse vibrations of rectangular plates with all possible boundary conditions obtained by combining free, freely-supported, and fixed edges. The Rayleigh method, assuming waveforms similar to those of beams, is used to derive a simple approximate frequency expression for all modes of vibration.
openaire   +1 more source

Rectangular Plates

2001
Eduard Ventsel, Theodor Krauthammer
openaire   +2 more sources

Rectangular Plate Examples

2009
We focus on special aspects of the theory of thin plates by discussing a state of constant bending curvature in Section 5.1 and a panel of constant torsion in Section 5.2. In Section 5.3 we show the effectiveness of a square simplysupported plate subject to a distributed load. In Section 5.4 we discuss the special case of a twist-less plate.
openaire   +1 more source

Buckling of Rectangular Plates

2017
The stability of rectangular plates with induced in-plane compressive stresses resulting from the mechanical or thermal loads is discussed in this chapter. The kinematical relations, constitutive law, the equilibrium equations, and the stability equations for a rectangular plate are derived and the classical boundary conditions are presented.
openaire   +1 more source

Vibrations of Rectangular Plates

Journal of the Aeronautical Sciences, 1951
openaire   +2 more sources