Abstract
In this paper, the problems of optimization of cylindrical bar cross sections are formulated. The functional considered characterizes rigidities, maximum stress and the areas of the cross-section of the bar. The shape of the boundary of the cross-section is taken as a design variable and is found in the case of regular polygonal contours. Using minimax approaches optimal designs have been obtained for simply connected and doubly connected cross-sections having given convex holes. Investigations performed and complete solutions derived from the cross-sectional area minimization under rigidity and strength constraints show the changes of the optimal shapes as functions of the problem parameter.
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Received September 29, 2000
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Banichuk, N., Ragnedda, F. & Serra, M. Optimum shapes of bar cross-sections. Struct Multidisc Optim 23, 222–232 (2002). https://doi.org/10.1007/s00158-002-0180-8
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DOI: https://doi.org/10.1007/s00158-002-0180-8