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Noise associated with the rail wheel
Mareš, Adam ; Řehák, Kamil (referee) ; Rec, Matouš (advisor)
The issue of noise associated with rail transport, focusing primarily on noise from the wheel – rail contact, is examined mainly in connection with rail transport, but also concerns tram transport in cities and, to a lesser extent, funicular railways. The noise of rail transport is one of the reasons why it is perceived negatively by the public, even though it offers many advantages over other modes of transport, such as environmental friendliness, travel comfort, travel speed and more. This is one of the reasons why it is necessary to focus on noise in rail transport and to understand, research and further develop and improve the whole issue as well, both in the area of passive and active noise control measures. For this reason, the aim of this work is to provide a comprehensive overview of the issue. The work therefore deals with the issue of noise in a comprehensive way, from the theoretical definition of noise, through noise sources and their distribution to noise measurement and the use of numerical methods for its evaluation and determination of appropriate preventive and anti-noise measures.
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Static Analysis of Textile Structures
Husáriková, Natália ; Gratza, Roman (referee) ; Kytýr, Jiří (advisor)
This work deals with the design and calculation of membrane structure for shelter placed above selected ground plan. The hyperbolic paraboloid was chosen as most optimal shape. Subsequently, three different sub-studies were conducted. In the first study, influence of mesh density on a finite element calculation model was studied. Second study deal with the effect of the geometry changes of the computational model. In the third study, deformations and tensions of membrane structure in relation to material formation calculation model was studied. For the static solution of those selected variant, structural analysis software RFEM and RF-FORM-FINDING add-on module was used. Geometric nonlinear solution was applied in the calculation.
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Combination of numerical mathematics and neural network for the model of breakout prediction
Srba, Jan ; Štětina, Josef (referee) ; Mauder, Tomáš (advisor)
This thesis deals with creation of breakout prediction model implemented via artificial neural network in MATLAB, hence it contains theoretical description of artificial neural networks and also presents how the networks were used for the breakout prediction problem. In addition, models of heat conduction through the mold wall were created and used for generating neccesary data for proper training of artificial neural network. The thesis contains proper description of used numerical methods for solving the heat conduction problems. In the thesis are presented partial results and also results of testing created artificial neural network with usage of real data.
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Autonomous Electronic Circuits Simulation Method
Minárik, Michal ; Konvalina, Jiří (referee) ; Kunovský, Jiří (advisor)
This work deals with a methodology of description of linear electrical circuits through the use of differential equations and autonomical method. It compares commom numerical methods with Taylor series method implemented in TKSL. It's focused on analysis of applicability of autonomical method to various circuits, complexity of circuit diagram transformation to system of equations and transcription to TKSL.
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Educational Simulator in WebAssembly Environment
Březina, Jaromír ; Janoušek, Vladimír (referee) ; Peringer, Petr (advisor)
This bachelor thesis focuses on the issue of simulation of timed stochastic Petri nets and continuous block diagrams for educational purposes. The resulting application consists of two sub-parts. The first is a simple graphical editor that provides tools to create the desired model in the form of a Petri net or block diagram and visualize the simulation results. The graphical user interface of the editor was created using the React library. The second part of the application consists of a simulator implemented in C++, which is used to simulate the created model and is integrated into the entire solution as a WebAssembly module. The application also includes a set of 10 examples that serve as a demonstration of simple models suitable for educational purposes.
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Multiple Integrals
Valešová, Nikola ; Veigend, Petr (referee) ; Šátek, Václav (advisor)
The problem of definite integral and differential equation computation is still a significant part of many scientific branches and the solution of integral calculus tasks can be found in many industrial fields too. During the computation of such tasks, the accuracy and high-speed requirements are often confronted. These requirements are crucial during the process of the suitable method choice. The aim of this thesis is to propose, describe, implement and test a new numerical method, which combines the solution of definite integrals by transforming them into differential equations solved by the Taylor series with the traditional methods, which use the Newton-Cotes formulas. As a result, a new application has been developed, that provides fast results of definite two-dimensional integrals and reaches at least the precision of MATLAB. The major accomplishment of this thesis is the development of a new numerical method and its comparison to other established ways of computation.
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Accelerated Sparse Matrix Operations in Nonlinear Least Squares Solvers
Polok, Lukáš ; Hartley, Richard (referee) ; Sojka, Eduard (referee) ; Smrž, Pavel (advisor)
Tato práce se zaměřuje na datové struktury pro reprezentaci řídkých blokových matic a s nimi spojených výpočetních algoritmů, jež jsem navrhl. Řídké blokové matice se vyskytují při řešení mnoha dílčích problémů jako například při řešení metody nejmenších čtverců. Nelineární metoda nejmenších čtverců (NLS) je často aplikována v robotice pro řešení problému lokalizace robota (SLAM) nebo v příbuzných úlohách 3D rekonstrukce v počítačovém vidění (BA), (SfM). Problémy konečných elementů (FEM) a parciálních diferenciálních rovnic (PDE) v oboru fyzikálních simulací můžou také mít blokovou strukturu. Většina existujících implementací řídké lineární algebry používají řídké matice s granularitou jednotlivých elementů a jen několik málo podporuje řídké blokové matice. To může být způsobeno složitostí blokových formátů, jež snižuje rychlost výpočtů, pokud bloky nejsou dost velké. Některé ze specializovaných NLS optimalizátorů v robotice a počítačovém vidění používají blokové matice jako interní reprezentaci, aby snížily cenu sestavování řídkých matic, ale nakonec tuto reprezentaci převedou na elementovou řídkou matici pro implementaci k řešení systémů rovnic. Existující implementace pro řídké blokové matice se většinou soustředí na jedinou operaci, často násobení matice vektorem. Řešení navržené v této disertaci pokrývá širší spektrum funkcí: implementovány jsou funkce pro efektivní sestavení řídké blokové matice, násobení matice vektorem nebo jinou maticí a nechybí ani řešení trojúhelníkových systémů nebo Choleského faktorizace. Tyto funkce mohou být snadno použity ke řešení systémů lineárních rovnic pomocí analytických nebo iterativních metod nebo k výpočtu vlastních čísel. Jsou zde popsány rychlé algoritmy pro hlavní procesor (CPU) i pro grafické akcelerátory (GPU). Navrhované algoritmy jsou integrovány v knihovně SLAM++ , jež řeší problém nelineárních nejmenších čtverců se zaměřením na problémy v robotice a počítačovém vidění. Je provedeno vyhodnocení na standardních datasetech kde navrhované metody dosahují výrazně lepších výsledků než dosavadní metody popsané v literatuře -- a to bez kompromisů v přesnosti či obecnosti řešení.
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Numerical Integration .NET Graphical Editor
Kučera, Martin ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This thesis deals with the numerical solution of systems of first-order differential equations with initial conditions, using chosen one-step methods. It describes the design, implementation and testing of the application that is able to use these methods to solve the tasks entered in form of block schemes. The first part is devoted to an introduction of the topic, it provides an example of calculation of several steps using chosen methods and compares the results. A substantial part of the report deals with form and function of each block used in the block schemes editor and the transformation process of input data to data usable for creating simulation. The penultimate chapter demonstrates the accuracy of the final application. It shows solutions of a few simple examples of practical usage. This chapter also includes comparison with other simulation systems.
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