Nonlinear analytical modelling of flat and hyperbolic paraboloidal panels under shear
File(s)
Accepted version
Author(s)
Lapira, L
Wadee, MA
Gardner, L
Type
Journal Article
Abstract
The hyperbolic paraboloid (hypar) form has been widely used in long-span roof structures and the subject of much research under out-of-plane loading. However, the behaviour of hypars under in-plane loading has been less keenly studied and there is no suitable guidance for their design in current codes of practice. A nonlinear analytical model treating the hypar as a deliberate imperfection applied to a flat plate is presented. A Rayleigh-Ritz formulation using appropriate shape functions is developed and the resulting equations are solved using numerical continuation techniques. The results are verified with nonlinear finite element models, showing good correlation across a range of thicknesses and degrees of initial curvature. Key moda lcontributions that influence the behaviour of the hypar are identified, providing insight into the nonlinear behaviour of hypars subject to in-plane shear. The main differences in behaviour between the flat plate and the hypar panel are shown to be most prevalent in the early stages of loading, where the influence of the initial geometry is at its greatest.
Date Issued
2021-09-29
Date Acceptance
2021-08-03
Citation
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2021, 477 (2253), pp.1-19
ISSN
1364-5021
Publisher
The Royal Society
Start Page
1
End Page
19
Journal / Book Title
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume
477
Issue
2253
Identifier
https://royalsocietypublishing.org/doi/10.1098/rspa.2021.0317
Subjects
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Publication Status
Published
Article Number
20210317
Date Publish Online
2021-09-01