Multi-objective global optimization of grillages using genetic algorithms

The dissertation investigates the issues of global multi-objective optimization of grillages, applying genetic algorithms. The main objects of research are grillage-type mechanical structures. The primary purpose of this dissertation is development and employment of suitable calculation technologies for simultaneous topology and size optimization of grillages.

The paper approaches the following major task – generation of schemes of optimal grillages under a set of the static loads and boundary conditions. The task may be splited as follows: identification of the optimal number of piles, optimal positions of piles and optimal cross-sectional dimensions of connecting beams.

The dissertation consists of introduction, 3 chapters, general conclusions, references and 3 annexes.

The introduction reveals the investigated problem, importance of the thesis and the object of research and describes the purpose and tasks of the paper, research methodology, scientific novelty, the practical significance of results and defended statements. The author’s publications on the subject of the dissertation and the material of made presentations in conferences are presented, foreign internship of the author and the structure of the dissertation introduced.

Chapter 1 revises literature, including the analysis of the main global and multi-objective optimization methods of grillages. The reasoning is introduced for choosing genetic algorithms for optimization.

Chapter 2 describes the calculation technology, enabling to apply genetic algorithms for topology optimization of grillages. Formulation of optimization problem is presented. The solutions of topology optimization of grillages are given.

In chapter 3 the calculation technology for simultaneous topology and size optimization of grillages using genetic algorithms is described and results of optimization of grillages are presented: using classical genetic algorithm, adaptive genetic algorithm and genetic algorithm with distribution strategy.

General conclusions of the dissertation summarize the results and their significance.

7 articles focusing on the subject of the dissertation are published: one article – in the Thomson ISI Web of Science register, one article – in reviewed foreign scientific journal, three articles – in reviewed Lithuanian scientific journals, two articles – in material reviewed during international conferences. 8 presentations on the subject have been given in conferences at national and international level.

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DOI: https://doi.org/10.20334/2121-M