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Processing of electromagnetic and acoustic emission signals during mechanical stressing of solids
Šopík, Martin ; Holcman, Vladimír (referee) ; Koktavý, Pavel (advisor)
Electromagnetic emission and acoustic emission are physical phenomena evoked in non-conductive material by the sudden release of energy that generate rising cracks in material structure. The significant is a fact that these emission signals are detected already in stadium of materials loading whereof can be used e.g. at non-destructive diagnostics of building materials and constructions. In the appropriate manner processing of the emitted signals then make possible to obtain valuable informations for study physical properties of cracks. Master’s thesis describes methods designed for important signal data ascertainment in time, frequency even time-frequency domain. It can be e.g. start time, maximum value, dominant frequency in spectrum etc. All these methods are implemented into main program. Next load is formularization of source signal transformation which is given by used measuring circuit. Analytical method is chosen for solving. It means finding out reserve electrical circuit with constant element values. Resultant circuit approaches original circuit with less square error than existing way. The signal transformation is described by differential equation of second order with constant coefficients. MATLAB software is used for all computations and projections.
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Semianalytical Computation of Fourier Series Coeficients
Hégr, Tomáš ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This bachelor thesis deals with semianalytical computation of the coefficients of the Fourier series. The aim of this work is to create a graphical user interface for program TKSL/C. The work contains the theory of Fourier series and Fourier transforms. The state of the art software is described in the following chapter. In the next parts the thesis describes the concept of the implementation of the user interface, some tutorial examples which were used and the summary of user testing.
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Electronic Circuits Simulation
Žabka, Michal ; Kocina, Filip (referee) ; Šátek, Václav (advisor)
The aim of this bachelor thesis is to introduce the most popular numerical methods for solving differential equation. Following part describe a electronic circuits and simulation programs. First part of this thesis is focused on the Taylor series method computation and its parallel solution. In another chapters, it will be describe the methods for solution of electronic circuits, the process of designing a model of CMOS inverter, CMOS NAND and CMOS NOR. The final part of this thesis is focused on simulation in various simulation programs and evaluation of the effectiveness of individual methods.
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Mathematical models of military conflicts
Skopal, Martin ; Potůček, Radovan (referee) ; Čermák, Jan (advisor)
This thesis discusses the mathematical models used in the theory of warfare. The aim is to build and describe the Richardson model of conict and selected Lanchester models of combat. The models are subsequently analysed with a focus on stability. A part of the thesis is also formed by application of real data onto the models and by the subsequent evaluation of their results.
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Real Time Dynamic System Control
Adamík, Pavel ; Kaluža, Vlastimil (referee) ; Kunovský, Jiří (advisor)
This thesis focuses on the methodology of controlling dynamic systems in real time. It contents a review of the control theory basis and the elementary base of regulators construction. Then the list of matemathic formulaes follows as well as the math basis for the system simulations using a difeerential count and the problem of difeerential equations solving. Furthermore, there is a systematic approach to the design of general regulator enclosed, using modern simulation techniques. After the results confirmation in the Matlab system, the problematics of transport delay & quantization modelling follow.
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REINFORCED CONCRETE CYLINDRICAL TANK
Chumová, Petra ; Podroužková, Božena (referee) ; Šulák, Pavel (advisor)
The Bachelor´s thesis focuses on a static solution of reinforced concrete cylindrical tank. The thesis comprises dimensioning of the bottom of the tank and its walls to selected load cases and processing a drawing documentation. The calculation of internal forces is done using the software Scia Engineer. The validation of results is performed by hand calculation using differential equations on a simplified model for the results of internal forces in the wall of the tank.
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Differential equations in models of motion of dislocations
Vydrová, Jana ; Řehák, Pavel (referee) ; Šremr, Jiří (advisor)
This thesis deals with the differential equation which appears in the mathematical model by thermally activated motion of dislocations. It’s focused on screw dislocations in bodycentred cubic metals. Especially solves derivation of the pertinent differential equaiton and then explores properties of their solutions. To research these properties are used knowledges and techniques of qualitative theory of differential equations.
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