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Reliability-based structural optimization
Slowik, Ondřej ; Pukl, Radomír (referee) ; Novák, Drahomír (advisor)
This thesis presents the reader the importance of optimization and probabilistic assessment of structures for civil engineering problems. Chapter 2 further investigates the combination between previously proposed optimization techniques and probabilistic assessment in the form of optimization constraints. Academic software has been developed for the purposes of demonstrating the effectiveness of the suggested methods and their statistical testing. 3th chapter summarizes the results of testing previously described optimization method (called Aimed Multilevel Sampling), including a comparison with other optimization techniques. In the final part of the thesis, described procedures have been demonstrated on the selected optimization and reliability problems. The methods described in text represents engineering approach to optimization problems and aims to introduce a simple and transparent optimization algorithm, which could serve to the practical engineering purposes.
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Hybrid Method for Modelling and State Estimation of Dynamic Systems
Brablc, Martin ; Blaha, Petr (referee) ; Bugeja, Marvin (referee) ; Grepl, Robert (advisor)
Tato Disertační práce se zabývá vývojem nové hybridní metody pro současné odha- dování stavů a parametrů nelineárních dynamických systémů, založené na myšlence lokálních lineárních modelů, která využívá odhad nejistoty parametrů modelu pro automatické nastavení některých parametrů Kalmanova filtru (KF), čímž se výrazně zjednodušuje její nasazení a nastavení v praktických aplikacích. V první části se disertační práce věnuje shrnutí aktuálního stavu poznání v oblasti dynamických systémů, simultánní estimace, KF a modelování nelineárních dynamických systémů. Následně se ve dvou samostatných kapitolách věnuje modifikaci KF pro situace, kde dominantním vlivem způsobujícím procesní šum jsou nepřesné parametry modelu, a dále modifikaci metody Receptive field weighted regression (RFWR) tak, aby mohla být použita pro duální estimaci. Nakonec práce popisuje vyvinutou hybridní metodu složenou z modifikovaných algoritmů RFWR a KF nazvanou Receptive field dual estimation - (RFDE) a demonstruje její funkčnost na simulačních i reálných datech.
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Reliability-based structural optimization
Slowik, Ondřej ; Červenka,, Jan (referee) ; Lepš, Matěj (referee) ; Novák, Drahomír (advisor)
Presented PhD thesis deals with reliability-based optimization of structures and problems related to automatization of various algorithms of solution for various reliability-based optimization task definitions. The text presents a general definition of the reliability-based optimization problem, followed by a description of state of the art within the broad field of reliability-based optimization as well as the current state of the art of selected methodology utilized or developed by the author during his work in order to meet objectives of his dissertation. The theoretical part of the thesis is supplemented by a description of developed software tools and by examples of described methodology applications during a solution of practical problems of nonlinear numerical models reliability-based optimization and problems of inverse analysis.
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Reliability-based structural optimization
Slowik, Ondřej ; Pukl, Radomír (referee) ; Novák, Drahomír (advisor)
This thesis presents the reader the importance of optimization and probabilistic assessment of structures for civil engineering problems. Chapter 2 further investigates the combination between previously proposed optimization techniques and probabilistic assessment in the form of optimization constraints. Academic software has been developed for the purposes of demonstrating the effectiveness of the suggested methods and their statistical testing. 3th chapter summarizes the results of testing previously described optimization method (called Aimed Multilevel Sampling), including a comparison with other optimization techniques. In the final part of the thesis, described procedures have been demonstrated on the selected optimization and reliability problems. The methods described in text represents engineering approach to optimization problems and aims to introduce a simple and transparent optimization algorithm, which could serve to the practical engineering purposes.
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