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Bifurcation Buckling Analysis of Stiffened Laminated Composite Panels
1988ABSTRACT A bifurcation buckling analysis of general stiffened laminated panels under axial compression and shear loading is presented. The panel is modeled by plate strips for which the nonlinear equations are derived in terms of lateral displacement w(x,y) and the Airy stress function F(x,y).
Izhak Sheinman +2 more
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Axisymmetric postbuckling and secondary bifurcation buckling of circular plates
International Journal of Non-Linear Mechanics, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Wang
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Bifurcation of Euler buckling problem, revisited
Hokkaido Mathematical Journal, 2021The authors develop a long and detailed exposition of the treatment by Golubitsky and Schaeffer of the bifurcation theory for the classical bifurcation for the Euler buckling problem. The main tool used here is the singularity theory due to the same authors.
Afroz, Atia, Fukui, Toshizumi
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Nonlinear Isometric Bifurcation and Shell Buckling
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1977AbstractA simple concept for studying the lower stability limit of shell structures which is based on the theory of isometric transformation of surfaces is outlined. The influence of imperfection on the lower stability limit is discussed in the case of axially compressed cylindrical shells.
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Buckling of a critically tapered rod: global bifurcation
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2003The present paper, which can be considered as a continuation of the first author's previous papers [\textit{C. A. Stuart}, J. Math. Pures Appl., IX. Sér. 80, No. 3, 281--337 (2001; Zbl 1056.74019) and Proc. R. Soc. Edinb., Sect. A, Math. 132, No. 3, 729--764 (2002; Zbl 1020.34076)] is concerned with studying the buckling of a tapered rod. This physical
Stuart, C. A., Vuillaume, G.
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Bifurcation of locally buckled members
Thin-Walled Structures, 1997The paper presents a general bifurcation analysis of members that are locally buckled in the fundamental state. The members are assumed to be geometrically perfect in the overall sense such that bifurcation of the locally buckled member in an overall mode may occur. The analysis applies to arbitrary types of loads and support conditions.
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Buckling of Cooling-Tower Shells: Bifurcation Results
Journal of the Structural Division, 1975This paper describes studies of bifurcation buckling of hyperboloids used for large-scale cooling towers. Those studies include the effects of flexible supports, combined loadings from wind, dead weight, and temperature, shell cracking, different variations in the wind pressure distribution, and changes in the shell thickening.
Peter P. Cole +2 more
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Plastic Bifurcation Buckling of Toroidal Shells
Journal of the Engineering Mechanics Division, 1979The buckling characteristics of shells with double curvature is an important design consideration of such structures. Aircraft structural components are commonly of the double curvature type. Classical elastic buckling of toroidal shell segments with positive and negative Gaussian curvatures under pressure loading is given by Stein and McElmann.
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Computer Methods in Applied Mechanics and Engineering, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bifurcation type buckling of generally orthotropic clamped plates
AIAA Journal, 1970The objective of this investigation was to determine analytically the buckling loads for generally orthotropic, rectangular, flat, thin plates. The generalized Ritz method using a complete Fourier series with the Lagrange multiplier technique of minimization is used to compute upper and lower bounds of the bifurcation type buckling load.
HARVEY R. FRASER, ROBERT E. MILLER
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