D. Manickarajah et al., AN EVOLUTIONARY METHOD FOR OPTIMIZATION OF PLATE BUCKLING RESISTANCE, Finite elements in analysis and design, 29(3-4), 1998, pp. 205-230
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 stru
ctures, with a given volume and layout, that would maximise the buckli
ng load. A simple numerical method using the finite-element analysis i
s presented to obtain the optimum thickness distribution. Optimum desi
gns of compression-loaded rectangular plates with different boundary c
onditions and plate aspect ratios are obtained by using the proposed m
ethod. Optimum designs from earlier studies and the methods of bucklin
g analysis used to attain these results are discussed and compared wit
h the designs from the proposed method. This paper also examines the r
eliability of the optimality criterion generally used for plate buckli
ng optimization, which is based on the uniform strain energy density.
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