The buckling and post-buckling behaviour of simply supported rectangular plates with centrally located circular holes

This thesis describes an investigation into the buckling, post-buckling behaviour and collapse of simply supported square and rectangular plates with centrally located circular holes. The review of the current literature is preceded by a brief description of the approximate methods of plate buckling and post-buckling analysis. The basic equations of compatibility, equilibrium and strain energy are described. Theoretical analyses of the pre-buckling, buckling and post-buckling behaviour are presented. The pre-buckling analysis is by the finite element method and the buckling and post-buckling analyses use the minimisation of total potential energy. The buckling analysis uses the prebuckling stress distribution with an approximate out-of-plane deflection function with arbitrary coefficients. The post-buckling analysis uses finite element and analytical stress distributions to ensure internal equilibrium and assumes that the out-of-plane deflected shape is the buckling mode. A simple collapse analysis was also presented. An experimental programme is described which was carried out to determine buckling loads, post-buckling deflections and collapse loads. The experimental investigation of the distribution of strains along the plate centre lines is also described. Comparison of the theoretical results is made with the results of the experimental investigation and, in addition, with the theoretical and experimental results of other investigators. These results are all fully discussed and the conclusions drawn from the discussion are presented. The thesis is ended by three appendices, the first of which describes and discusses the derivation of the finite element plane stress stiffness matrix, and the second describes the method of determining the smallest eigenvalue. The third appendix describes the material properties of the plate specimens, and their derivation.

Name dc:type.qualificationname

phd

Level dc:type.qualificationlevel

doctoral-pg

Grantor dc:publisher.institution

University of Strathclyde

Year dc:date.issued

1975

Author dc:creator

• Ritchie, D.

DOI

10.48730/p7jk-1r61

Identifier

uk.bl.ethos.470553
T105(1975)

OAI identifier oai:identifier

oai:strathclyde:qj72p713s