Optmization methods of shakedown structures in the context of standards

Technological sciences, civil engineering (02T).

The optimization methodology of shakedow structures evaluating strength, stiffness and stability constraints and unifying extremum energy principles, mathematical programming theory, stat-of-the-art computer technologies and design standards was developed in the dissertation. There are shown in the work that shakedown theory is a generalized tool for calculation of civil engineering structures under different loading conditions that avoid detailed investigation of loading history.

The dissertation consists of six parts including Introduction, 5 chapters, Conclusions, References and 4 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 examined in the paper and defended statements. The introduction ends in presenting the author’s publications on the subject of the defended dissertation, offering the material of made presentations in conferences and defining the structure of the dissertation.

Chapter 1 revises used literature. The optimization methods of shakedown structures are reviewed and a demand of linkage between theoretical optimization methods and standards is highlighted.

Chapter 2 describes the discretization of structures, the mathematical models for improved design and check problems was created.

 In the Chapter 3 the equivalence between load combinations of civil engineering standards and repeated variable load is shown. The methodology enabling integrated design of shakedown structures, with included strength, stiffness and stability constraints, is proposed.

Chapter 4 describes authors created nonlinear programming software and its usage peculiarity.

Chapter 5 dedicated to plate check problem. A new algorithm combining von Mises and Tresca yield is proposed.

12 articles focusing on the subject of the discussed dissertation are published: six articles – in the Thomson ISI register, one article – in conference material in Thomson ISI data base, one article – in material reviewed during international conference, one article in the reviewed international edition; one article during an international conference in Lithuania, two articles during a national conference. 8 presentations on the subject have been given in conferences at national and international level.

Read electronic version of the book:

DOI: https://doi.org/10.20334/1887-M