Lagrange-Kuhn-Tucker coordination for multilevel optimization of aeronautical structures

Abstract

In this paper, we propose a Lagrange-Kuhn-Tucker based coordination scheme to deal with level coupling. First, we give a precise definition of several multilevel decomposition schemes, namely the StiffOpt -industrial- approach, and the minMass approach which keeps a mass minimization as objective of local optimisations. Then, we introduce a new decomposition strategy using dual variables. Last section is dedicated to numerical results and comparison of these approaches on the classical ten bar truss problem benchmark.