Abstract
It was shown recently that the optimization capability for sizing structural systems can be increased dramatically by the introduction of new optimality criteria methods which achieve the correct optimal solution while treating active stress constraints at the element level. This means that their optimization capability is only limited by the number of global (e.g. displacement or natural frequency) constraints. Since the latter is usually small for typical structural systems, these new techniques increase our optimization capability by several orders of magnitude, whilst reducing drastically both CPU time and storage requirements.
The versatility of the new optimality criteria methods is demonstrated by considering a variety of problems in sizing optimization. The proposed methods become highly economical if the considered system is very large, with many thousands of variables and active stress constraints. Moreover, the considered methods are found to be almost unavoidable in topological optimization, which will be discussed in a separate lecture at this meeting.
The paper also reviews a two-phase DCOC algorithm for structures with complex cross-sections, having several design variables and stress constraints per element. This algorithm solves the relevant equations alternately at the element level and system level.
Finally, the proposed algorithm is compared with an approach by Gutkowski, Bauer, Dems and Iwanow.
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© 1994 Springer-Verlag, Berlin Heidelberg
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Rozvany, G.I.N., Zhou, M. (1994). New Discretized Optimality Criteria Method State of the Art. In: Gutkowski, W., Bauer, J. (eds) Discrete Structural Optimization. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85095-0_13
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DOI: https://doi.org/10.1007/978-3-642-85095-0_13
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