Elastic buckling is one of a number of modes of failure that needs to be considered during the design of structures. Although elastic buckling has been researched for decades there is still a need to develop fast and comprehensive procedures that will reduce product design time especially during the pre-sizing stage. This paper presents a novel equation and parameters for the buckling analysis of plates that accounts for the interaction of geometry parameters, boundary conditions and different load distributions. The method covers geometrical plate shapes such as triangular, evolutive, and slightly curved plates. In the place of classical methods the new procedure called the Parametric Buckling Analysis (PBA) combines a number of concepts in a novel heuristic manner to achieve a comprehensive solution. Among the concepts is an extension of the Euler column buckling boundary condition coefficients to various possible plate edge boundary condition combinations. Geometry parameters reflect the combined effect of plate aspect ratio and the number of buckle waves. A load parameter introduces a regularising factor that allows the effect of different load distributions to be included in the equation. The method is tested for flat plates of different rectangular, triangular, trapezoidal shapes and for slightly curved plates with cylindrical geometries. Eighteen different combinations of free, simple support and clamped edge boundary conditions are considered. Uniform and linearly varying edge stress loading conditions are also considered. The results obtained are compared with those obtained using analytical and finite element analysis.
Ahmed, HeshamDurodola, JohnBeale, Robert G.
Faculty of Technology, Design and Environment\School of Engineering, Computing and Mathematics
Year of publication: 2019Date of RADAR deposit: 2018-03-16