Science – Future of Lithuania / Mokslas – Lietuvos Ateitis, Vol 3, No 6 (2011)

Multi-Objective Optimization of Grillages Applying the Genetic Algorithm

Darius Mačiūnas
Rimantas Belevičius
Juozas Kaunas


The article analyzes the optimization of grillage-type foundations seeking for the least possible reactive forces in the poles for a given number of poles and for the least possible bending moments of absolute values in the connecting beams of the grillage. Therefore, we suggest using a compromise objective function (to be minimized) that consists of the maximum reactive force arising in all poles and the maximum bending moment of the absolute value in connecting beams; both components include the given weights. The variables of task design are pole positions under connecting beams. The optimization task is solved applying the algorithm containing all the initial data of the problem. Reactive forces and bending moments are calculated using an original program (finite element method is applied). This program is integrated into the optimization algorithm using the “black-box” principle. The “black-box” finite element program sends back the corresponding value of the objective function. Numerical experiments revealed the optimal quantity of points to compute bending moments. The obtained results show a certain ratio of weights in the objective function where the contribution of reactive forces and bending moments to the objective function are equivalent. This solution can serve as a pilot project for more detailed design.

Article in Lithuanian

Article in: Lithuanian

Article published: 2012-01-03

Keyword(s): global optimization, genetic algorithms, optimization of grillages, finite element method

DOI: 10.3846/mla.2011.110

Full Text: PDF pdf

Science – Future of Lithuania / Mokslas – Lietuvos Ateitis ISSN 2029-2341, eISSN 2029-2252
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