Theory of Grillage Optimization—A Discrete Setting

Karol Bołbotowski

Abstract

The grillage optimization problem can be originally posed as a pair of infinite dimensional variational problems: equilibrium and kinematic, where a function of bending moment and out-of-plane displacement is sought respectively. In the current paper those problems are analytically reduced to a pair of discrete forms being counterparts of the two forms that are well-established in optimization of trusses. In the process the two new mutually dual norms defined on a plane emerge.
Author Karol Bołbotowski (FCE / ICE)
Karol Bołbotowski,,
- The Institute of Civil Engineering
Pages605-618
Publication size in sheets0.65
Book Rodrigues H.C., Herskovits J., Mota Soares C.M. (eds.): EngOpt 2018 Proceedings of the 6th International Conference on Engineering Optimization, 2019, Springer International Publishing, ISBN 978-3-319-97772-0, [978-3-319-97773-7], 1475 p., DOI:10.1007/978-3-319-97773-7
Keywords in EnglishCompliance minimization, Optimum grillage, Duality
DOIDOI:10.1007/978-3-319-97773-7_54
URL https://doi.org/10.1007/978-3-319-97773-7_54
Languageen angielski
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