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An evolutionary method for optimization of plate buckling resistance
Authors:D Manickarajah  Y M Xie  G P Steven
Institution:

a Department of Civil and Building Engineering, Victoria University of Technology, P.O. Box 14428, MCMC, Victoria 8001, Australia

b Department of Aeronautical Engineering, University of Sydney, NSW 2006, Australia

Abstract:Optimization of plate buckling resistance is very complicated, because the in-plane stress resultants in the prebuckled state of a plate are functions of thickness distribution. This paper discusses the problem of finding the optimum thickness distribution of isotropic plate structures, with a given volume and layout, that would maximise the buckling load. A simple numerical method using the finite-element analysis is presented to obtain the optimum thickness distribution. Optimum designs of compression-loaded rectangular plates with different boundary conditions and plate aspect ratios are obtained by using the proposed method. Optimum designs from earlier studies and the methods of buckling analysis used to attain these results are discussed and compared with the designs from the proposed method. This paper also examines the reliability of the optimality criterion generally used for plate buckling optimization, which is based on the uniform strain energy density.
Keywords:Plates (structural components)  Buckling  Structural analysis  Optimization  Finite element method  Numerical methods  Boundary conditions  Aspect ratio  Stress analysis  Strain  Structural loads  Eigenvalues and eigenfunctions  Plate buckling resistance  Optimum thickness distributions  Strain energy density
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