Abstract

The paper presents the synthesis of trusses using Mixed-Integer Non-Linear Programming (MINLP). The discrete/continuous non-convex and non-linear optimization problems are solved by the Modified OA/ER algorithm. The Hiearchical superelement approach (HSA) is introduced for the discrete topology optimization of trusses in order to reduce the number of topology alternatives. For the solution of truss synthesis problems, which include a high number of discrete/binary variables, we applied multilevel MINLP strategies. The Sequential Two-Phase (STP) strategy was developed for the topology, shape and standard dimension optimization of trusses. A numerical example at the end of the paper shows the suitability of the proposed approach.

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