Linear and geometrically nonlinear analysis of shell structures by a shear flexible finite element shell formation
Linear and geometrically nonlinear analysis of shell structures by a shear flexible finite element shell formation
A specialised form of the Hellinger-Reissner principle with modifications suitable for shear flexible beam, plate and shell elements has been developed. A clearly insight into the shear locking effect phenomenon, which appears in the development of Co elements using shear flexible formulation, has been obtained by a careful study of the shear flexible beam elements. It is demonstrated that locking is due to existence of spurious constraints on the element unknowns. The beam elements developed are shown to be free from locking and are equivalent to elements formed by a reduced integration technique. This formulation has also successfully generated shell type elements, an axisymmetric quadratic ring type element and a quadrilateral eight noded element for shells of revolution. The elements are further modified to include geometrically nonlinear properties and to perform buckling analysis of cooling tower structures. Buckling analysis of the cooling tower described by D. Martin has shown how sensitive the analysis is to changes in the mesh size. Moreover, analyses of the Ardeer cooling tower have shown the effects of base flexibility, thickened cornice and geometric imperfections. It is shown that the imperfections have a stiffening effect on the structure so that it is overstressing rather than instability that fails the structure.
University of Southampton
1988
Lam, Siu-Shi Eddie
(1988)
Linear and geometrically nonlinear analysis of shell structures by a shear flexible finite element shell formation.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
A specialised form of the Hellinger-Reissner principle with modifications suitable for shear flexible beam, plate and shell elements has been developed. A clearly insight into the shear locking effect phenomenon, which appears in the development of Co elements using shear flexible formulation, has been obtained by a careful study of the shear flexible beam elements. It is demonstrated that locking is due to existence of spurious constraints on the element unknowns. The beam elements developed are shown to be free from locking and are equivalent to elements formed by a reduced integration technique. This formulation has also successfully generated shell type elements, an axisymmetric quadratic ring type element and a quadrilateral eight noded element for shells of revolution. The elements are further modified to include geometrically nonlinear properties and to perform buckling analysis of cooling tower structures. Buckling analysis of the cooling tower described by D. Martin has shown how sensitive the analysis is to changes in the mesh size. Moreover, analyses of the Ardeer cooling tower have shown the effects of base flexibility, thickened cornice and geometric imperfections. It is shown that the imperfections have a stiffening effect on the structure so that it is overstressing rather than instability that fails the structure.
This record has no associated files available for download.
More information
Published date: 1988
Identifiers
Local EPrints ID: 461202
URI: http://eprints.soton.ac.uk/id/eprint/461202
PURE UUID: 9e2ae049-47b0-488d-9664-ff212de93c24
Catalogue record
Date deposited: 04 Jul 2022 18:38
Last modified: 04 Jul 2022 18:38
Export record
Contributors
Author:
Siu-Shi Eddie Lam
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics