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Computational analysis of the influence of initial defects on the ceramic foam failure upon mechanical loading
Papšík, Roman ; Majer, Zdeněk (referee) ; Ševeček, Oldřich (advisor)
The thesis deals with computational modelling of ceramic foams and analysis of influence of structural manufacturing defects (like broken struts, closed pores and material clumps) have on foam strength. Model of foam geometry was discretized using beam elements in order to decrease computational cost. In place where several struct join, rigid beam element was used so that the increased stiffness is better modelled. Closed walls of pores were modelled and discretised by shell elements. Influence of loading direction was analysed on foams containing no defects and then influence of amount of defects in foam on strength was further analysed. Highest strength show foams created by cells whose structs are oriented in direction of loading. These were losing strength most rapidly. Foam with structure of rhombic dodecahedral cell was least influenced by presence of closed pore defects but it also showed lowest strength even without defects. Cells with struts oriented in direction of loading experienced biggest drop in strength. Kelvin cell is a compromise. It was shown that difference in strength of strut with constant and varying cross-section is tenths of percent.
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Voronoi cell constructions on the map
Čermák, Jan ; Hrdina, Jaroslav (referee) ; Pavlík, Jan (advisor)
This bachelor’s thesis deals with study of Voronoi cell and its representation in Voronoi diagrams and their construction on the model of Earth’s surface. At first, Voronoi diagrams and their characteristics are explained in a plane, we describe their construction using Fortune’s algorithm, then spherical geometry is explained. Then we take a look at some equations that are useful for calculating on a sphere, and we use them for calculating distances on Earth, which we approximate with a sphere. Finally we apply Fortune’s algorithm on a sphere, we explain the principles of construction of Voronoi diagrams with this algorithm on a sphere and changes compared to the planar case that must be taken care of. The goal of the thesis is to display Voronoi diagram on Google maps, thus we work with Google Maps API.
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Procedural Generation of Voxel Models
Hypeš, Tomáš ; Matýšek, Michal (referee) ; Milet, Tomáš (advisor)
This thesis deals with procedural generation techniques and its use in the creation of voxel models. The techniques that have been used are Perlin Noise, Voronoi diagram, L-systems etc. This knowledge is then used to create a world generator for computer game with open world. This game provides players with the ability to modify this world and use its creativity, for example, in building construction. The game, however, will not give to the player all options for free, but for example for build, he or she will first have to find and mine the material. The game has been written in programming language C++ with the use of libraries Boost, SDL and OpenGL.
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Modelling of the randomly formed ceramic foam structure for FEM simulations
Papšík, Roman ; Navrátil, Petr (referee) ; Ševeček, Oldřich (advisor)
This bachelor thesis deals with construction of ceramic foam model with various levels of (ir)regularity for finite element simulations in Ansys. The main objective is to substitute the complex structure of the open cell foam using the beam elements, enabling to perform FE analysis on much larger volumes of foams than the realistic foam models composed of solid elements. In this work, the technique of the model creation is based on the Voronoi tessellation and enables choice of arbitrary (ir)regularity of the modelled structure. The created source codes generate the model data directly in the syntax of APDL language for FEM system Ansys. The first part of the work describes several methods of the space partitioning and methods for substitution of the real foam structure by simplified “wire” model. The second part defines the Voronoi tessellation (diagram) as a key technique for creation of the foam model and describes its algorithms. The next part of the work deals with possibilities and utilizations of various software and libraries, describes creation of the own code in mathematical software Matlab and way how to transfer the model data into the system Ansys. The last part of the work demonstrates functionality of the created model on several FEM simulations, studying response of the ceramic foam on the external mechanical loading, upon consideration of various levels of the foam structure irregularity.
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Map Generator for Fantasy RPG
Pagáč, Antonín ; Charvát, Lukáš (referee) ; Smrčka, Aleš (advisor)
The aim of this work is to develop a generator of maps used in fantasy role-playing games. The issues of map processing and map creation in real world are described. The work also discuss a number of approaches to map generation in computer games, mind games or board games. Next, a program based on generation of Voronoi diagram is presented, which serves as map creation software. The generator has the means to place objects on map randomly, using user commands, or place objects to specific place using graphical user interface. Generator is implemented in Javascript, which enables the program to be run in web browser on many different devices.
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Game in a Shader
Ivanecký, Ján ; Milet, Tomáš (referee) ; Polok, Lukáš (advisor)
This thesis deals with design and implementation of a simple strategic game using OpenGL, whose game logic is realized by the graphics card and rendering is realized by the graphics card in one shader. It also contains introduction to OpenGL, overview of techniques used for generating procedural textures and overview of rendering methods based on Ray Casting.
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Data mining analysis of chemical bonds in alloys
Nechutová, Vendula ; Šeda, Miloš (referee) ; Roupec, Jan (advisor)
The thesis deals with aplication of data mining methods for the analysis of two Ni3Si supercells, one with a stable grain boundary and the second one with unstable grain boundary. DOS and COHP curves are examined using selected curve matching methods. The surroundings of the individual atoms are examined by the Voronoi diagram. This information was used to reveal the differences in binding between stable and unstable supercell.
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Application of Voronoi Diagrams in Robot Motion Planning
Chaloupka, Luděk ; Dvořák, Jiří (referee) ; Šeda, Miloš (advisor)
This bachelor thesis is focused on the theme of robot motion planning. The motion of dimensionless (i.e. point) robot without any restriction of motion and on the stage with static obstacles (also point) forms the fundamental issue of the thesis. The thesis also contains the implementation of presented algorithm of given level of exercises and definition of appropriate method.
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Advanced simulation methods for reliability analysis of structures
Gerasimov, Aleksei ; Lehký, David (referee) ; Vořechovský, Miroslav (advisor)
The thesis apply to reliability problems approach of Voronoi tessellation, typically used in the field of samples designs evaluation and for Monte Carlo samples reweighing. It is shown, this general technique estimation converges to that of Importance Sampling method despite it does not rely on Importance Sampling's auxiliary density. Consequently, reliability analysis could be divided into sampling itself and assessment of simulation results. As an extension of this idea, adaptive statistical sampling using QHull library was attempted.
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