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Modelling and Optimization of Complex Fiber Diffractive Structures
Helán, Radek ; Lazar,, Josef (referee) ; Tománek, Pavel (referee) ; Urban, František (advisor)
The thesis discusses the fiber Bragg gratings simulations, analysis and design. In the present time, there are several methods to simulate fiber gratings response based on the stated parameters that define their dimensions and material features. However, this work deals with a different issue, that is the synthesis of the input parameters for demanded spectral responses. The main aim of the work is to achieve a synthesis method that would help to discover parameters describing advanced grating structure, based on the required spectral reflectivity. The basic demand for the parameter synthesis is an achievement of the real values in terms of the consequent production of the suggested structure. The described synthesis method considers advanced fiber grating structure as a structure of several uniform grating sections. The input parameters are estimated in steps, using the well-known direct methods in order to obtain grating responses and feedback to establish the parameters changes. The principle methods involve establishment of initial input parameter values and necessary subsequent algorithm leading to optimize the required spectral response. The initial values are calculated by a simplified model based on the coupled theory equations that are handled for the periodic disturbances in cylindrical waveguide. The following optimization uses the multiple thin film stack and transfer matrix methods. The properties of grating structure spectral reflectivity are step by step calculated while using these direct methods. Input parameters are established in the next several steps. Establishment of input parameters is done subsequently, based on the demanded and calculated output spectral reflectivity properties. Optimizing process is limited by possibilities of the grating manufacture technology. It is possible to assemble arbitrary fiber grating structure taking in term the demanded spectral response. Nevertheless, the calculated input parameters are real for the following manufacture. This method could be used to design optical band stop filter, high-pass and low-pass filters or filters for special applications.
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Using of Transfer Matrix Method for Modal Characteristics of Vocal Tract
Meisner, Patrik ; Švancara, Pavel (referee) ; Hájek, Petr (advisor)
The first part of the bachelor thesis describes anatomy of the vocal tract, voice creation and its modification. Some pathologies are listed at the end of the first part. The contents of second part are previously published computational models of the vocal tract followed by the method of transfer matrices for the Czech vowel [u:]. Modal analysis is performed by the transfer matrix method. The output are first three natural frequencies. Obtained frequencies are compared to values in the literature and to values calculated by the finite element method.
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Analysis of transfer matrix method using for calculation of electrical machines rotor with influence of magnetic pull
Tobiáš, Jan ; Majer, Zdeněk (referee) ; Vlach, Radek (advisor)
This master thesis is dealing with modeling of the rotor system based on the numerical transfer matrix calculations. This method is suitable for fast analysis of beam bodies to observe the resulting deflection and critical speed in regard to the initial circumstances. The bearing stiffness is a significant input factor that affects the outcomes of the analysis, especially the critical speed the rotor system. First of all,the available approaches to analyze the bended beam bodies are discussed focused on explanation of the transfer matrix algorithm. After that, the approach to estimate the bearing stiffness based on the Hertz contact theory is presented. Further, a brief explanation is given about the heat arising in the rotor bearings. The following chapters are focused on description of the software solver for rotor system analysis based on the transfer matrix method, considering the bearing stiffness estimation based on Hertz contact theory, with possible calculations of the induced bearing heat losses. In the end, the practical use of the developed software is presented with the analysis of the obtained results of the rotor deflection, critical speed, and bearing power loss. There is also discussed a comparison of the different bearing stiffness estimation with the impact to the computation outcomes, especially on the rotor critical speed, followed by comparison conclusion implementation into rotor system analysis.
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Programme for calculation of electric machine shaft deflexion with respect magnetic traction
Blahút, Lukáš ; Houfek, Martin (referee) ; Vlach, Radek (advisor)
Primary aim of work is to develop a computer program for calculating the deflection of the rotors of electrical machines. Introductory section describes the simple deflection and possibilities of calculating it. Further, there is defined magnetic pull and his impact on the calculation of shaft deflection. The theoretical part is completed by a detailed description of the method of transfer matrices. The practical part deals with the creation and description of the program created in C++/CLI. Each part is described in terms of user and programmer. In conclusion, prime example is evaluated by created program and given results of calculation are discussed.
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Calculation of the dynamic behavior of the rotor using the method of transfer matrices
Kratochvíl, Filip ; Hrstka, Miroslav (referee) ; Lošák, Petr (advisor)
The master‘s thesis deals with the modelling of a rotor using the transfer matrix method and the displacement method. Specifically, it addresses the response to static loading, the first natural bending oscillation shape and the response to imbalance. The focus of the review is on the transfer matrix method and its practical applications in various parts of dynamics. The method of rotor modelling and the various elements used for this purpose are also described. The first practical part focuses on the static response of the rotor to self-weight and external loads. This is solved based on the transfer matrix method. The next part deals with finding the rotor's natural speed based on the transfer matrix method and the displacement method. For this purpose, two different approaches have been used depending on the method. For the transfer matrix method, the interval halving approach was chosen and for the displacement method, the eigenvalue problem was solved. The last practical part is the solution of the response to imbalance. This was done based on the displacement method. At the end of the thesis, a control example is performed where the derived solution is compared with the solution using the finite element method.
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Magneto-optical gradient effect imaging of magnetic textures
Molnár, Tomáš ; Hamrle, Jaroslav (referee) ; Arregi Uribeetxebarria, Jon Ander (advisor)
Základy magnetooptiky (MO), oboru zkoumajícího vliv magnetických polí a magnetizace na šíření světla v hmotě, byly položeny před více než půldruhým stoletím. Od té doby se MO stala jednou z nejpoužívanějších metod magnetického zobrazování v mikroměřítku. Kromě MO Faradayova a Kerrova jevu, které jsou lineární v závislosti na magnetizaci, byly později objeveny efekty kvadratické v závislosti na magnetizaci (Voigtův nebo Cottonův-Moutonův jev) nebo závislé na gradientech magnetizace (gradientní jev). Zejména MO gradientní jev byl objeven jako poslední, ale protože zdobí pouze hranice magnetických domén, nepřitahoval zatím takový zájem jako Kerrův jev pro magnetické zobrazování. Tato práce zkoumá užitečnost magnetooptického gradientního jevu pro charakterizaci spinových konfigurací v nanorozměrech, jako jsou doménové stěny v kolmo zmagnetovaných materiálech. Představujeme nový experimentální přístup k odhalení vlastností MO gradientního jevu využitím jeho symetrie vzhledem k polarizaci světla. Dále analyticky vyjadřujeme odpovídající signál pomocí dostupného teoretického modelu. Porovnáním simulovaných signálů MO gradientního jevu získaných metodou přenosové matice a experimentálně získaných signálů zkoumáme možnost charakterizovat vnitřní spinovou strukturu magnetických doménových stěn v nanorozměrech.
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Analysis of transfer matrix method using for calculation of electrical machines rotor with influence of magnetic pull
Tobiáš, Jan ; Majer, Zdeněk (referee) ; Vlach, Radek (advisor)
This master thesis is dealing with modeling of the rotor system based on the numerical transfer matrix calculations. This method is suitable for fast analysis of beam bodies to observe the resulting deflection and critical speed in regard to the initial circumstances. The bearing stiffness is a significant input factor that affects the outcomes of the analysis, especially the critical speed the rotor system. First of all,the available approaches to analyze the bended beam bodies are discussed focused on explanation of the transfer matrix algorithm. After that, the approach to estimate the bearing stiffness based on the Hertz contact theory is presented. Further, a brief explanation is given about the heat arising in the rotor bearings. The following chapters are focused on description of the software solver for rotor system analysis based on the transfer matrix method, considering the bearing stiffness estimation based on Hertz contact theory, with possible calculations of the induced bearing heat losses. In the end, the practical use of the developed software is presented with the analysis of the obtained results of the rotor deflection, critical speed, and bearing power loss. There is also discussed a comparison of the different bearing stiffness estimation with the impact to the computation outcomes, especially on the rotor critical speed, followed by comparison conclusion implementation into rotor system analysis.
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Using of Transfer Matrix Method for Modal Characteristics of Vocal Tract
Meisner, Patrik ; Švancara, Pavel (referee) ; Hájek, Petr (advisor)
The first part of the bachelor thesis describes anatomy of the vocal tract, voice creation and its modification. Some pathologies are listed at the end of the first part. The contents of second part are previously published computational models of the vocal tract followed by the method of transfer matrices for the Czech vowel [u:]. Modal analysis is performed by the transfer matrix method. The output are first three natural frequencies. Obtained frequencies are compared to values in the literature and to values calculated by the finite element method.
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Programme for calculation of electric machine shaft deflexion with respect magnetic traction
Blahút, Lukáš ; Houfek, Martin (referee) ; Vlach, Radek (advisor)
Primary aim of work is to develop a computer program for calculating the deflection of the rotors of electrical machines. Introductory section describes the simple deflection and possibilities of calculating it. Further, there is defined magnetic pull and his impact on the calculation of shaft deflection. The theoretical part is completed by a detailed description of the method of transfer matrices. The practical part deals with the creation and description of the program created in C++/CLI. Each part is described in terms of user and programmer. In conclusion, prime example is evaluated by created program and given results of calculation are discussed.
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