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Experimental Tests on Buckling of Torispherical Heads and Methods of Plastic Bifurcation Analysis

Journal of Pressure Vessel Technology, 1986
Sixteen torispherical heads were tested under internal pressure. These heads, which were 500 mm in diameter, had diameter/thickness ratios ranging from 330 to 1000. They were all prepared by spinning mild steel plates. Deflections along the axis and in the knuckle area were recorded.
R. L. Roche, B. Autrusson
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Introduction to Buckling and Bifurcation

2021
Kiyohiro Ikeda, Kazuo Murota
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Global bifurcations and chaos in the forced oscillations of buckled structures

1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes, 1978
We study the sinusoidally forced vibrations of a buckled beam. Experimental work indicates that the beam's response is 'chaotic', being a nonperiodic motion which contains appreciable energy at all frequencies. The governing nonlinear partial differential equation is shown to generate a dynamical system on a suitable function space and, since the ...
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On the Bifurcational Buckling of Elastic Beams, Plates and Shallow Shells

Aeronautical Quarterly, 1968
SummaryThe buckling behaviour of elastic beams, plates and shallow shells must often be investigated by calculating the slope at the instant of buckling of a curve relating the applied loading and the deformation parallel to the undeformed middle surface. This paper demonstrates the circumstances under which this slope can be calculated exactly without
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Bifurcation buckling of shells of revolution including large deflections, plasticity and creep

International Journal of Solids and Structures, 1974
Abstract A summary is first presented of the conceptual difficulties and paradoxes surrounding plastic bifurcation buckling analysis. Briefly discussed are nonconservativeness, loading rate during buckling, and the discrepancy of buckling predictions with use of J 2 flow theory vs J 2 deformation theory.
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Prediction and Control of Buckling: The Inverse Bifurcation Problems for von Karman Equations

2019
The chapter presents novel approaches to predict and control buckling of thin-walled structures; mathematically, these approaches are formalized as the first and second inverse bifurcation problems for von Karman equations. Both approaches are based upon the method employed to solve the direct bifurcation problem for the equations in question.
Natalia I. Obodan   +2 more
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Bifurcation and mode transition of buckled ribbons under oblique compressions

Mechanics Research Communications, 2023
Xu Cheng   +4 more
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