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Symmetries of elastic buckling
Engineering Structures, 1982Abstract The paper explores the role of symmetry in the buckling of elastic structural systems, both at distinct points of bifurcation, and when such points coincide or interact. Arch, stiffened and unstiffened plate, and cylinder buckling models are introduced as examples.
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2014
In the previous chapters we have applied the wavelet approach for solving problems of mathematical calculus. In the subsequent chapters we will demonstrate that the Haar wavelet method is also a valuable tool in structural mechanics. To begin with, the buckling of elastic beams is discussed. The material in this Chapter has been published by Lepik [18].
Ülo Lepik, Helle Hein
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In the previous chapters we have applied the wavelet approach for solving problems of mathematical calculus. In the subsequent chapters we will demonstrate that the Haar wavelet method is also a valuable tool in structural mechanics. To begin with, the buckling of elastic beams is discussed. The material in this Chapter has been published by Lepik [18].
Ülo Lepik, Helle Hein
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On the Dynamics of Elastic Buckling
Journal of the Aeronautical Sciences, 1945THE CLASSIC THEORY of elastic buckling is based on the equilibrium of external and internal bending moments. It does not consider, however, the time elements and the inertia forces involved. The lateral vibration of compressed bars has been investigated, but the use of formulas so obtained for the experimental determination of elastic buckling loads ...
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Elastic Stability and Buckling
2013As we already mentioned in Chap. 2, and as is known from everyday experience (for example, compressing a short plastic ruler or the like between thumb and middle finger, as seen in Fig. 10.1), a slender bar subject to a compressive axial force is likely to buckle (that is, assume a bent shape) if the force is sufficiently large.
Jacob Lubliner, Panayiotis Papadopoulos
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Elastic flexural–torsional buckling of structures by computer
Computers & Structures, 1998Summary: Flexural-torsional buckling considerations usually control the design of unbraced steel beams and beam-columns. Although there are many sources of information on elastic buckling, these are not comprehensive, and often difficult to access. This paper describes and exemplifies a single comprehensive source of information, the computer program ...
Papangelis, J. P. +2 more
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Elastic buckling of multilayered anisotropic plates
Journal of the Mechanics and Physics of Solids, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Buckling and post-buckling of annular plates on an elastic foundation
Applied Mathematics and Mechanics, 1991On the basis of von Karman equations, the axisymmetric buckling and post-buckling of annular plates on anelastic foundation is systematically discussed byusing shooting methods.
Yang, Xiao, Cheng, Changjun
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PERTURBATION APPROACH TO ELASTIC POST-BUCKLING ANALYSIS
Computers & Structures, 1998Summary: This paper shows that effective and reliable computer codes can be obtained by a suitable finite element implementation of the Koiter's perturbation method. However, careful attention has to be paid to all the implementation details in order to avoid kinematic inconsistencies that can strongly affect the results.
Casciaro R +3 more
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Thermal buckling of a constrained elastic ring†
International Journal of Non-Linear Mechanics, 1974Abstract The buckling problem of a heated circular elastic ring confined to a uniformly contracting circular boundary is investigated. The buckled configuration is assumed to consist of a shallow detached region with the remainder of the ring in contact with the contracting boundary.
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On the Susceptibility of Local Elastic Buckling to Chaos
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1990AbstractThe paper draws attention to an interesting connection between the randomness of localized buckling forms of elastic structures, solitons and deterministic chaos of dynamic systems.
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