Research Article Open Access

MINLP Optimization of Mechanical Structures

S. Šilih, T. Žula, Z. Kravanja and S. Kravanja

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.

American Journal of Applied Sciences
Volume 5 No. 1, 2008, 48-54

DOI: https://doi.org/10.3844/ajassp.2008.48.54

Submitted On: 4 May 2007 Published On: 31 January 2008

How to Cite: Šilih, S., Žula, T., Kravanja, Z. & Kravanja, S. (2008). MINLP Optimization of Mechanical Structures. American Journal of Applied Sciences, 5(1), 48-54. https://doi.org/10.3844/ajassp.2008.48.54

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Keywords

  • Mixed-Integer Non-linear programming
  • MINLP
  • Topology optimization
  • Shape optimization
  • Discrete sizes optimization