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Design and analysis of membrane roof of a stadium.
Lang, Rostislav ; Kytýr,, Jií (referee) ; Němec, Ivan (advisor)
This diploma thesis deals with problem of design and calculation of membrane structure of stadium roof. This is a complex engineering problem, which includes many partial problems: finding of initial form of membrane, statically and architecturally suitable arrangement of catenaries, economical solution of boundary conditions (foundations). All components affect each other and cannot be dealt without mutual coordination. It always greatly depends on the experience and intuition of engineer who design such structure. Task which cannot be resolved according to the theory of the first order. Equilibrium forces on the deformed structure, which in many projected structures gives satisfactory results, did not correspond to reality. It is therefore necessary to consider equilibrium of forces on the deformed structure according to the theory of large deformations. Diploma thesis was entered with regard to the intention of the companies Ing. Software Dlubal s.r.o. and FEM consulting s.r.o., working together to develop software RFEM. These companies plan to complement this program system with a module MEMBRANE for searching of initial shapes of membrane structures. This work is a contribution to the creation of this module.
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Analog system SW simulator
Košta, Ondřej ; Kaczmarczyk, Václav (referee) ; Bradáč, Zdeněk (advisor)
This Master’s Thesis focuses on development and realization of analog system software simulator for simulation of various kinds and orders systems and for function verification of microcontrollers’ control systems. The development and realization of PSD controller is part of this thesis as well. The simulator is written in C++/CLI programming language which combines fast execution of native code and provides an advantage of managed code which has its execution managed by the .NET Framework. The data acquisition is performed via National Instrument’s USB multifunctional DAQ. The PSD regulator is realized by using modern ARM processor architecture.
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Mesh Generator for the Finite Element Method
Ščišľak, Tomáš ; Čapek, Miloslav (referee) ; Kadlec, Petr (advisor)
The paper describes basic principles of the finite element method. Further, basic properties of triangulation are discussed. The thesis is primarily focused on the Delaunay and Greedy triangulation. Greedy triangulation is simple to implement, but may not produce the optimal shape of triangles. Delaunay method is used due to its robustness in a wide range of fields especially in computer graphics. This method is relatively easy to implement and provides triangles with high quality.
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Economic Scenario Generator Analysis (short rates)
Šára, Michal ; Janeček, Martin (advisor) ; Sitař, Milan (referee)
The thesis is concerned with a detailed examination of the most familiar short-rate models.Furthermore,it contains some author's own derivations of formulas for prices of interest rate derivatives and some relationships between certain discretizations of these short-rate models. These formulas are then used for calibration of ceratain chosen models to the actual market data.All the calculations are performed in R using author's own functions,which are along with the other more involved derivations placed in the appendix.
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Slightly generalized regular space decompositions
Kolcun, Alexej
Space decomposition methods represent an important part of numerical modelling process. In many applications it is suitable to use the simplest case of decomposition { regular rectangular grid: the whole raster graphic concept can be seen from this point of view. Dierent raster concept, based on regular hexagonal mesh, is analyzed e.g. in [18]. Generalized task { decomposition of the space to the set of the identical elements have been presented in various research areas since a long time, and it is connected with Hilbert's 18th problem [9], [10].
Fulltext: content.csg - PDF Plný tet: UGN_0425285 - PDF
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Notes on approximation of stochastic programming problem
Šmíd, Martin
In stochastic optimization problems, expectation of random function is often being minimized. Since the expectation can rarely be evaluated exactly an approximation has to be done. In the present paper, three types of approximation are dealt with: discretization, Monte Carlo and Quasi Monte Carlo. Convergence rate of the approximation error is evaluated and some upper bounds of the error are given.
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