Structural synthesis using the MINLP optimization approach
Kravanja, Stojan
This paper presents a structural synthesis using the Mixed-Integer Non-LinearProgramming (MINLP) approach. The MINLP is a combined discrete/continuous optimization technique, where discrete binary ...0-1 variables are defined for optimization of discrete alternatives and continuous variables for optimization of parameters. The MINLP optimization to a structural synthesis is performed through three steps: i.e. the generation of a mechanical superstructure, the modelling of an MINLP model formulation and the solution of the defined MINLP problem. As the discrete/continuous optimization problems are usually non-convex and highly non-linear, the Modified Outer-Approximation/Equality- Relaxation (OA/ER) algorithm is selected to be used for the optimization. The accompanied Linked Multilevel Hierarchical Strategy (LMHS) is developed to accelerate the convergence of the above-mentioned algorithm. Some examples are presented at the end of the paper.
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