Coupled modes of elastic buckling

Chilver, A. H.

doi:10.1016/0022-5096(67)90003-8

Cited by 79 publications

(15 citation statements)

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“…The present study, moving from the analysis of cylindrical shells employed in the oil industry and nuclear power plants, shows a limit behaviour in collapse of circular rings under uniform external pressure that can be considered an extension to the elastic-plastic range of the phenomenon of change in buckle patterns in elastic structures studied by Chilver [2] and Supple [3], among others.…”

Section: Introductionmentioning

confidence: 60%

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Stability Analysis of Circular Beams with Mixed-Mode Imperfections under Uniform Lateral Pressure

Fraldi

Guarracino

2014

Advances in Mechanical Engineering

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The elastic-plastic collapse of circular beams under uniform lateral pressure with an initial imperfection represented by a combination of different modes and amplitudes and with varying material properties is analysed from a computational viewpoint. The work is stimulated by a number of accurate experimental tests recently performed and it is found that both the initial imperfection and the material inhomogeneity along the beam axis can affect the collapse and produce a sensible variation in the carrying capacity of the structure on account of the changes between the underlying buckling modes. This can give reason for some apparently anomalous observed experimental results.

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Section: Introductionmentioning

confidence: 60%

“…The influence of mixed-mode imperfections modelled as in (2) has been analysed by means of the commercial finite element (FE) package ANSYS [7].…”

Section: Influence Of Mixed-mode Imperfectionsmentioning

confidence: 99%

Stability Analysis of Circular Beams with Mixed-Mode Imperfections under Uniform Lateral Pressure

Fraldi

Guarracino

2014

Advances in Mechanical Engineering

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“…4 On the other hand, the analysis of multiple-mode problems in general terms has not received as much attention, although solid contributions have been made. In particular, for systems containing no initial imperfections the papers by Supple, 5 Chilver, 6 Sewell,7 and Johns and Chilver 8 may be mentioned. In addition, some of the most powerful and interesting results for general imperfect systems are those due to Ho.…”

Section: Introductionmentioning

confidence: 98%

Some two-mode buckling problems and their relation to catastrophe theory

Hansen

1977

AIAA Journal

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The asymptotic buckling analysis of semisymmetric, two-degree-of-freedom static systems is presented. The types of behavior which can occur for this class of system are determined and categorized in accordance with the results of catastrophe theory. The expressions for the critical load-initial imperfection surfaces are determined in closed form. Within the context of an asymptotic analysis all possible secondary bifurcations cases are isolated. (The term bifurcation is used here in the sense which is usual in elastic stability analyses and not in the broader sense which is common in catastrophe theory.) In addition, the physical significance of the different criticaS load-initial imperfection surfaces is determined, and the primary surface is identified for each case. The general results are demonstrated in the example of the two-mode buckling of an axially loaded beam resting on a nonlinear elastic foundation.

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“…However, in some cases, the maximization of buckling load may provide designs with unstable post-critical response and simultaneous or nearly simultaneous buckling modes with enhanced imperfection sensitivity. [2][3][4] On the other hand, some structures (such as plates) exhibit large load carrying capacity in the post-critical regime and reach the limit load value much higher than the buckling load. In such cases the maximization of buckling load is not a relevant procedure in optimal design from the engineering viewpoint.…”

Section: Introductionmentioning

confidence: 99%

Sensitivity analysis and optimal design of non-linear structures

Mróz

Piekarski

1998

Int. J. Numer. Meth. Engng.

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Sensitivity analysis for non-linear elastic structures in regular and critical states is ÿrst discussed including design parameters and initial imperfections. Next, the optimal design problem is formulated by considering imperfect structures and setting constraints on de ections and stresses. For structures with unstable postcritical response the limit load constraint is introduced in the optimization procedure. Several examples of truss optimization are provided. The level of initial imperfections can be regarded as design parameter and speciÿed from the optimal solution. ? 1998 John Wiley & Sons, Ltd.

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Coupled modes of elastic buckling

Cited by 79 publications

References 1 publication

Stability Analysis of Circular Beams with Mixed-Mode Imperfections under Uniform Lateral Pressure

Stability Analysis of Circular Beams with Mixed-Mode Imperfections under Uniform Lateral Pressure

Some two-mode buckling problems and their relation to catastrophe theory

Sensitivity analysis and optimal design of non-linear structures

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