> The paper presents the optimization of mechanical structures, performed by the Mixed-Integer Non-linear Programming (MINLP) optimization approach. The MINLP is a combined continuous/discrete optimization technique, where a structural topology and standard/discrete sizes are optimized simultaneously with the continuous variables. Ddiscrete binary 0-1 variables are used to express the discrete decisions. For the solution of this non-linear, continuous/discrete and non-convex MINLP class of the optimization problem, the Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm is used. A two-phase MINLP strategy is applied for the optimization to accelerate the convergence of the mentioned algorithm.. Three examples are presented at the end of the paper.
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