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Elastic postbuckling behaviour and crinkly collapse of plate structures

Elastic postbuckling behaviour and crinkly collapse of plate structures
Elastic postbuckling behaviour and crinkly collapse of plate structures

The widespread use of structures built up of thin plate elements in engineering construction has made a study of. their buckling, postbuckling and collapse behaviour very important. In the present study methods of buckling and post--local-buckling analysis of prismatic plate structures have been developed using the finite strip approach. The buckling analysis presented takes into account the prebuckling stress distribution and can model localised buckling modes by a superposition of, a chosen number of harmonics. The post-local-buckling analysis has been developed in two versions:The first, a simpler version which neglects the coupling of inplane and out of plane displacements (and forces) of plates meeting along a common edge,the second, the more general version which makes no such assumption. Brief parametric studies on the post-local-buckling behaviour of a few typical plate assemblies have been reported. The plate structures are known to fail most frequently by a 'crinkly' buckling of one or more of their junctions; and this type of failure can occur entirely elastically. With the object of gaining an insight into this phenomenon, an analytical and experimental investigation on square box columns was undertaken as part of the present studies. The experimental study established that the elastic collapse loads of the box columns is very reproducible and the phenomenon of crinkly collapse under controlled compression, is the result of snap buckling of the structure after reaching a limit point, to a remote state of equilibrium. Good agreement was found to exist between the theoretically predicted and experimental values of collapse loads. A theoretical mechanical model of a column resting on a nonlinear elastic foundation has been proposed, to explain the post-collapse ~crinkly~ displacement profile.

University of Southampton
Sridharan, S
Sridharan, S

Sridharan, S (1977) Elastic postbuckling behaviour and crinkly collapse of plate structures. University of Southampton, Doctoral Thesis.

Record type: Thesis (Doctoral)

Abstract

The widespread use of structures built up of thin plate elements in engineering construction has made a study of. their buckling, postbuckling and collapse behaviour very important. In the present study methods of buckling and post--local-buckling analysis of prismatic plate structures have been developed using the finite strip approach. The buckling analysis presented takes into account the prebuckling stress distribution and can model localised buckling modes by a superposition of, a chosen number of harmonics. The post-local-buckling analysis has been developed in two versions:The first, a simpler version which neglects the coupling of inplane and out of plane displacements (and forces) of plates meeting along a common edge,the second, the more general version which makes no such assumption. Brief parametric studies on the post-local-buckling behaviour of a few typical plate assemblies have been reported. The plate structures are known to fail most frequently by a 'crinkly' buckling of one or more of their junctions; and this type of failure can occur entirely elastically. With the object of gaining an insight into this phenomenon, an analytical and experimental investigation on square box columns was undertaken as part of the present studies. The experimental study established that the elastic collapse loads of the box columns is very reproducible and the phenomenon of crinkly collapse under controlled compression, is the result of snap buckling of the structure after reaching a limit point, to a remote state of equilibrium. Good agreement was found to exist between the theoretically predicted and experimental values of collapse loads. A theoretical mechanical model of a column resting on a nonlinear elastic foundation has been proposed, to explain the post-collapse ~crinkly~ displacement profile.

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Published date: 1977

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Local EPrints ID: 458725
URI: http://eprints.soton.ac.uk/id/eprint/458725
PURE UUID: 9a5c3630-073f-457f-9c9a-75e4a2aef1ac

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Date deposited: 04 Jul 2022 16:54
Last modified: 04 Jul 2022 17:35

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Author: S Sridharan

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