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Decision Theory and the Shape of Structures

Published online by Cambridge University Press:  04 July 2016

R. F. D. Porter Goff*
Affiliation:
Department of Engineering, University of Leicester

Summary

Engineering structures are usually designed to minimise weight or some other cost criterion, subject to specified loading and functional conditions being met. The techniques of decision theory may be applied if the cost can be described mathematically in terms of the design variables. In particular, dynamic programming may be applicable to designs for which the parameter values can be derived sequentially. Dynamic programming is here introduced to obtain minimum weight layouts for two types of cantilever structure and comparisons are made with known Michell solutions. The results suggest that other near optimum configurations could be systematically derived under conditions less restrictive than those assumed by the Michell theory.

Type
Technical Notes
Copyright
Copyright © Royal Aeronautical Society 1966

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