Abstract
Thin-walled box-section circular arches loaded by a radial pressure are optimized with respect to their stability. Beside the overall both in-plane and out-of-plane buckling local web and flange instability is considered. The optimization aim is to determine either optimal values of cross-section dimensions — parametrical formulation or optimal functions of these dimensions — variational design. For the latter case suitable optimality conditions are derived by use of Pontryagin's maximum principle. The required modality of the problem formulation is discussed and selected numerical results are presented.
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