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Title: Parametric buckling analyses of plates
Author: Ahmed, Hesham
Awarding Body: Oxford Brookes University
Current Institution: Oxford Brookes University
Date of Award: 2013
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Classical methods for solving plate buckling problems involve using different forms of solution on case by case basis. In place of this approach, This thesis presents a novel single form equation and the parameters required to account for the interaction of geometry, boundary conditions and different forms of edge load distribution. The thesis also presents more results for different combination of plate edge boundary conditions than can be found in most design manuals such as the ESDD. The method presented is titled 'Parametric Buckling Analysis (PBA),. It combines a number of concepts in a heuristic manner to achieve the single form solution proposed. Among the concepts is an extension of the Euler column buckling boundary condition coefficients to represent various possible plate edge boundary conditions. The geometry parameter introduced reflects the combined effect of plate aspect ratio and the number of buckle waves. The load parameter introduces a regularising factor that allows the effect of different load distribution forms to be included in the equation. The method is tested on flat plates of different rectangular, triangular, evolutive trapezoidal shapes and on slightly curved plates with cylindrical geometries. Eighteen (18) different combinations of free, simple and clamped edges boundary conditions were considered. Uniform and linearly varying edge stress loading conditions were also considered. The results obtained arc compared with those obtained using analytical and finite element analysis. Excellent agreement is obtained in most cases. Possible causes of discrepancies are highlighted in the other cases. The PBA method is useful and will save time in the pre-sizing buckling design analysis of structures especially in the aerospace industry. This stage is usually followed by detailed analysis using finite clement or other numerical techniques. When programmed PBA should prove easier to use by desigoel1' than existing manuals such as the ESDU because of its unified formula approach.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available