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Computation of the eigenvalues and eigenvectors of Hermitian matrix
Štrympl, Martin ; Bohrn, Marek (referee) ; Fujcik, Lukáš (advisor)
This project deals with computation of eigenvalues and eigenvectors of Hermitian positive-semidefinite complex square matrix of order 4. The target is an implementation of computation in language VHDL to field-programmable gate array of type Xilinx Zynq-7000. This master project deals with algorithms used for computation of eigenvalues and eigenvectors of positive-semidefinite symmetric real square and positive-semidefinite complex Hermitian matrix and the analysis of algorithms by AnalyzeAlgorithm program assembled for this purpose. The closing part of this project describes implementation of the computation into field-programmable gate array with use of IP core Xilinx® Floating-Point \linebreak Operator and SVAOptimalizer, SVAInterpreter and SVAToDSPCompiler programs.
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Use of FRP Composites as Reinforcing Material for Concrete
Kratochvílová, Denisa ; Prokeš,, Jan (referee) ; Bodnárová, Lenka (advisor)
Because FRP composites have high fiber strength and good durability, they are increasingly used for repairs, modernisation and reconstruction of concrete structures. In practice, however there is a risk of premature separation of FRP reinforcement from concrete. This can be avoided by appropriate selecting the fibers and the matrix and the appropriate shape of the reinforcement. The actual materials and consistency of FRP reinforcement with concrete are also covered by this diploma thesis.
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Matrix headphone amplifier for studio monitoring
Štěrba, Václav ; Petržela, Jiří (referee) ; Kratochvíl, Tomáš (advisor)
This bachelor´s thesis describes the design of a matrix headphone amplifier for studio monitoring. The proposed amplifier is a purpose-built device to be used in studio sound recording for the mixing of multiple audio channels directed to the interpreters´or performers´ headsets. The device is basically composed of the following parts: An input section for the audio line, a mixing section which secures the setting of individual input levels for each output, an amplifier section allowing the setting of the output signal level for each output, and an output section enabling the connection of headphones. The equipment utilizes a connection to a multi-channel audio signal bus; this bus also provides for remote power supply to all the connected devices. The solution described in the thesis can be defined as alternative monitoring that facilitates quick and easy connection of a required number of monitoring points (in other cases, such monitoring is usually realized by means of individual small mixing consoles).
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Mechanical properties of fiber reinforced composites for automotive applications
Bayer, Adam ; Žídek, Jan (referee) ; Jančář, Josef (advisor)
Bachelor’s thesis deals with studying mechanical features of fiber composites. As a matrix was chosen PMMA and as reinforcement was chosen glass fabric. Theoretical part sums up contemporary issues of polymer composites in automotive industry such as their production techniques and methods of impregnation. In experimental part were prepared samples by block polymerization of 30 % solution PMMA in monomer with initiator by 65° Celsius warmth oath, when was fabric directly unfolded in pre-polymer solution. On these samples were executed tensile tests by testing device Zwick and these samples were compared with results of theoreticaly calculated values.
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Manufacturing Process and Applications of Composite Materials for buses parts
Rusek, Jan ; Julišová, Martina (referee) ; Němec, Karel (advisor)
The aim of the bachelor’s thesis is the evaluation and demonstration of the usability of composite materials in the bus industry. The first chapter provides an overview of selected types of composite materials, basic classification, description of their parts and demonstrations of methods of production. The second part of the bachelor’s thesis is focused on the evaluation of the advantages and disadvantages of using composite materials. The last part is focused on the producion of the sample from fiberglass.
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Selected Extensions of the Albegraic System Octave
Salač, Radek ; Smrčka, Aleš (referee) ; Vojnar, Tomáš (advisor)
This work deals with issues linked to solving system of linear equations in the environment of numerical computer. It describes the fundamental algorithms emphasizing their positive as well as negative sides. The work is devoted to general issues such as time complexity and memory demandingness of given algorithms. In the last part, the process of implementation of selected procedures into the algebraic system Octave is described.
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Design of laminate handlebars for mountain bikes
Hanák, Jiří ; Ševeček, Oldřich (referee) ; Polzer, Stanislav (advisor)
This bachelor’s thesis describes design of laminate handlebars for mountain bikes. The first part describes the mechanical properties of composite materials, with the emphasis on fiber composites. The algorithm for acquiring material characteristics of fiber composite by analytical method is presented. In the next part, it is shown how to control the direction of fibers in lam-inate in the finite element calculations and its impact to resulting stresses in the material. The aim of the last part is design geometry model of laminate handlebars for mountain bikes with following stress – strain analysis by FEM and software ANSYS. The analysis is performed for static loading.
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The Red Queen
Králík, Martin ; Zálešák, Jan (referee) ; Gabriel, Michal (advisor)
Red Queen is a chess piece on the story of Alice in Wonderland, which is constantly running to hold it in place, because the world around it is constantly in motion. Therefore, it is a symbol of the theory of evolution, a constant necessity innovation and the eternal escape from competitors. Red Queen's Race is constructed into a miniature civilization, or rather one growing superorganism, which constantly oscillates between the digital and the physical world. The main consciousness of this association is black majestically looking server that supplies with his computing power and energy all attached printers. They are designed specifically for this purpose, such as abstraction of robotics industry, with an emphasis on a functionally aesthetic form, in yellow-orange color of heavy industrial machinery. The most important and largest part of this system, are entities which printers materialize. They are created according to a living creature of this world, generated by computer, based on a unique code, which is the result of calculating the evolutionary recombination, processed by the server, depending on the reactions of outside observers at the objects which are already created. Sense of each entity is attract attention. How much more, the greater is the chance to continue their code in future generations.
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Possibilities of dispersed reinforcement for lightweight concrete
Novotná, Aneta ; Žítt, Petr (referee) ; Láník, Jaromír (advisor)
Master´s thesis deals with some problems associated with utilisation of lightweight concrete from the porous aggregates in the load – carrying structures. The thesis focuses on the possibilities of the increase of the cement composites toughness using dispersed reinforcement. Lightweight concretes were reinforced with a combination of different lengths of polypropylene fibers Forta Ferro. There were used polypropylene fibers of three lengths 19, 38, 54 mm. The thesis is divided into theoretical, experimental and static part.
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Enhanced mathematical library for C++
Temel, Aleš ; Macho, Tomáš (referee) ; Petyovský, Petr (advisor)
I create a library for storing matrices and working with matrices in this bachelor’s thesis. In this case, the issues concern mainly so-called sparse matrices. C++ do not provide among the standard libraries tools for easy working with sparse matrices. The most frequent alternative is the application of two-dimensional array (2D array). 2D array may be realized as a double pointer representing the rows and the columns of the matrix. The basic problem is that behavior of 2D array is identical both to the sparse, and to the full non-zero matrix. 2D array ignores the possibility to store matrices more favorable. The library for storing matrices designed by me takes into account the storing of sparse matrices by several different ways. It offers the sparse format CSR (Compressed sparse rows), as well as alternatives to save the specially structured matrices. In the course of creating library the main emphasis first of all I put on the amount of memory that is necessary for storing matrices. Because it is a mathematical library, it contains different functions suitable for working with matrices, such as determinant calculation, inverse matrix calculation and so. When calculate these functions it is necessary to take into account used memory size as well. Intermediate results are stored also in sparse format, and removed as soon as possible after their use. I created also the second library that deals with the floating point numbers stored with greater precision than standard data types like float and double. The size of occupied memory increases according to precision of floating point number.
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