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Journal ArticleDOI

On post-buckling of orthotropic annular plates☆

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TLDR
In this article, a direct computational method for the post-buckling of an orthotropic annular plate is presented, where the von Karman plate equations are transformed to a non-linear eigenvalue problem.
Abstract
In the present paper, a direct computational method for the post-buckling of an orthotropic annular plate is presented. Two different boundary cases of an annular are investigated. The von Karman plate equations are transformed to a non-linear eigenvalue problem. Solutions are obtained by employing the related initial value problem in conjunction with a numerical method of integration, and by using the method of continuation. The solution yields a complete description of post-buckling loads and stresses, and it reveals the non-linear behavior of the annulus beyond the linear buckling load.

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Citations
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Journal ArticleDOI

Seismic design response by an alternative SRSS rule

TL;DR: In this article, an alternative SRSS procedure is developed using the so-called mode acceleration approach of structural dynamics, where the design input in this procedure is defined in terms of relative acceleration and relative velocity spectra.
Journal ArticleDOI

Nonlinear dynamic analysis of orthotropic circular plates

TL;DR: In this article, an analytical technique using chebyshev series has been used to study the nonlinear dynamic response of orthotropic circular plates for the both clamped as well as simply supported edge conditions.
Book ChapterDOI

Axisymmetric Postbuckling of Orthotropic Thick Circular Plates

TL;DR: In this paper, the geometrically non-linear postbuckling response of fiber-reinforced cylindrically orthotropic thick circular plates subjected to inplane radial compressive load is presented.
Journal ArticleDOI

Post-Buckling Behavior of a Thick Circular Plate

TL;DR: Sheena, Z., Zalmanovich, A, and Unger, A., "Theoretical Stiffness Matrix Correction by Using Static Test Results," Collection of Papers of the 24th Israel Annual Conference on Aviation and Astronautics, Feb. 1982, pp 48-56 as discussed by the authors.
References
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Book

Nonlinear Vibrations in Mechanical and Electrical Systems

J. J. Stoker
TL;DR: In this article, the authors studied the stability of nonlinear oscillations with nonlinear restoring forces free oscillations and nonlinear self-sustained oscillations using the Hill's equation.
Journal ArticleDOI

Large amplitude vibrations of a rigidly clamped circular plate

TL;DR: In this article, the free and forced non-linear vibrations of a circular plate with a clamped and immovable boundary are investigated, and the effect of large amplitudes upon the transverse shape of vibration and the induced stresses is studied and illustrated.
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