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Journal ArticleDOI

Torsional Post-Buckling of a Simply Supported Thin-Walled Open-Section Beam Resting on a Two-Parameter Foundation

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TLDR
In this article, the postbuckling response of a simply supported thin-walled beam subjected to an axial compressive load and supported by the Winkler-Pasternak foundation is studied.
Abstract
The problem of the post-buckling response of a simply supported thin-walled beam subjected to an axial compressive load and supported by the Winkler–Pasternak foundation is studied in this paper. The strains are assumed to be small and elastic. The shear deformations and the in-plane cross-sectional deformations are assumed to be negligible. The post-buckling paths of the simply supported beam are determined for different values of the Winkler and Pasternak stiffness parameters. Bifurcation points are found.

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Citations
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Journal ArticleDOI

Quasi-Harmonic Bending Waves Evolution in a Beam Lying on the Generalized Nonlinear-Elastic Foundation and Possibility of their Transformation into a Sequence of Wave Packets

TL;DR: In this article , a generalized base model is selected that contains two independent bed coefficients: stiffness for tensile (compressive) and shear deformations, and the model assumed dependence on the transverse midline beam and its gradient displacement.
Journal ArticleDOI

Accurate Solution for Orthotropic Beams with Continuously Variable Cross Sections

TL;DR: In this paper , the exact stress distribution of simply supported beams of any thickness is determined by performing a Fourier sine series expansion upon the bottom and top surfaces of the beam.
References
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Book

Thin-walled elastic beams

V. Z. Vlasov
Book ChapterDOI

Beams on Elastic Foundation

TL;DR: In this paper, a numerical method for the solution of the problem of a beam on an elastic foundation is presented, which can be used as a basis for a sheet pile wall program, and for a laterally loaded pile in a layered soil.
Book

Elastic Analysis of Soil-Foundation Interaction

TL;DR: In this article, the Mecanique des sols Reference Record was created on 2004-09-07, modified on 2016-08-08, and used for Elasticite.
Journal ArticleDOI

Large-Deflection Spatial Buckling of Thin-Walled Beams and Frames

TL;DR: In this paper, the potential energy expression and stiffness matrix of a straight thin-walled beam element of open asymmetric cross section, subjected to initial axial force, initial bending moments, and initial bimoment, are derived.
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