MINLP Optimization of Mechanical Structures
Abstract
We presented optimization of mechanical structures, performed by the Mixed-Integer Nonlinear 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 were used to express the discrete decisions. For solution of this non-linear, continuous/discrete and non-convex MINLP class of the optimization problem, Modified Outer-Approximation/Equality-Relaxation (OA/ER) algorithm was used. A two-phase MINLP strategy applied for the optimization to accelerate the convergence of the mentioned algorithm.
DOI: https://doi.org/10.3844/ajassp.2008.48.54
Copyright: © 2008 S. Šilih, T. Žula, Z. Kravanja and S. Kravanja. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- Mixed-Integer Non-linear programming
- MINLP
- Topology optimization
- Shape optimization
- Discrete sizes optimization