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Computational tool for a stress-strain analysis of the mechanically loaded circular and annular plate
Dohnal, Jakub ; Majer, Zdeněk (referee) ; Ševeček, Oldřich (advisor)
The bachelor's thesis primarily deals with the creation of a computational tool for stress-strain analysis of rotationally symmetric circular and intercircular plates. The commercial software MATLAB and its component APP DESIGNER were used for this purpose. The program uses analytical relationships of general solid mechanics to solve differential equations for several types of plates and loads. Part of the bachelor thesis is also a parametric study comparing the outputs of analytical and numerical model based on the finite element method, aimed at identifying the practical application of the analytical solution and its accuracy for a particular case of the plate.
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Influence of notches under cyclic high-frequency fatigue loading
Kozáková, Kamila ; Ševeček, Oldřich (referee) ; Klusák, Jan (advisor)
The diploma thesis deals with the evaluation of the lifetimes of smooth and notched specimens. The comparison of their lifetimes is focused on the case of high-frequency cyclic loading in the area of high-cycle and gigacycle fatigue of materials. The theory of critical distances is used to evaluate and recalculate the life curves of the notched specimens. The effect of the notch is quantified using the Line method. The critical length parameter is determined so that the life curve of the notched specimens corresponds to the curve measured on smooth specimens. The result is the dependence of the critical length parameter on the number of cycles to fracture. Knowledge of critical length parameters can be used to determine the lifetime of notched specimens as well as real notched components using the results of fatigue tests of smooth specimens.
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Modelling and analysis of auxetic materials response on the mechanical loading
Vítek, Tomáš ; Skalka, Petr (referee) ; Ševeček, Oldřich (advisor)
This bachelor’s thesis is focused on auxetic materials, especially on their response on the mechanical loading. Historical development, significant mechanical properties, different ways of modelling and possible practical applications of these materials are described in the research part of the thesis. The computational part deals with the detailed analysis of selected auxetic structures in order to evaluate their elastic properties depending on different geometric parameters and also on the magnitude of applied deformation. Computational modelling is primarily performed using the software ANSYS Mechanical APDL based on the finite element method (FEM). This method is briefly explained in one chapter. In the following part of the thesis the process of creating a parametric model and reducing the whole structure to a minimum geometry size (a part of a basic unit) is described. A detailed explanation of generating the mesh and setting appropriate boundary conditions is also included together with the results evaluation. Elastic properties obtained by numerical simulations are then compared to available analytical model. Dependencies of elastic properties are presented for a wide range of values of selected geometric parameters and applied deformations of the structure considering small and large deformation regimes. An influence of these parameters on a structure response during the mechanical loading is discussed based on these dependencies. At the end of the thesis the values of elastic properties computed using a finite element method are confronted to the experimental data available in the literature and the validity of the computational model is considered based on this comparison.
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Proposal of topology of piezoceramic composite sensor
Dostal, Vojtěch ; Ševeček, Oldřich (referee) ; Majer, Zdeněk (advisor)
This master thesis deals with design and numerical modelling of piezoceramic sensor, which is placed on a rail, in order to generate electrical energy, which can be used for wireless monitoring of railway traffic and to monitor the condition of the railway. The thesis is divided into three parts. Theoretically background of piezoelectric energy harvesting is described in first part, where some previous application of piezoelectric generator in railway area are shown. In the second part, parametric analysis of numerical model is performed, which directly leads to finding best location on a rail, where piezoelectric generator should be placed. For this analysis the homogenized model of MFC sensor was used. Results of the numerical model were then compared with the results of the conducted experiment. The third part presented own design of piezoceramic sensor, which is placed onto most suitable location on a rail. Results from numerical analysis shown eligibility of using piezoceramic sensor to monitor the railway traffic.
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Determination of the elastic characteristics of highly-porous materials by means of the impulse excitation technique
Kollmann, Marek ; Lošák, Petr (referee) ; Ševeček, Oldřich (advisor)
The bachelor thesis dealt with the application of pulse excitation technique (IET) to determine the elastic characteristics of highly-porous materials. The first part explained the principle of this method together with the arguments for use outside the conditions given by the standard. In the next part, a model of foam structure with open porosity based on Kelvin cell was created in ANSYS software. The influence of porosity and cell size on its elastic characteristics was determined on the model. It was showed to agree with the theory according to Gibson and Ashby. The result of the work was the evaluation of the possibility of using IET to determine these characteristics, these results were then compared with the experimental values. It turned out that the IET provides the correct information about the stiffness of the model.
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Solution of General Stress Concentrators in Anisotropic Media by Combination of FEM and the Complex Potential Theory
Ševeček, Oldřich ; Kotoul, Michal (advisor)
Disertační práce se věnuje problematice obecných koncentrátorů napětí v anisotropních prostředích. Zejména se jedná o problém trhlin končících na rozhraní dvou různých materiálů, či problém obecného více-materiálového klínu. Cílem práce je vytvořit komplexní nástroj pro posuzování obecných koncetrátorů napětí tj, popis pole napětí v jeho okolí, zahrnutí případného vlivu přemostění trhliny do výsledného pole napětí a definici lomových kritérií pro obecný koncentrátor v anisotropním prostředí. U popisu pole napětí je využit tzv. Lechnického-Strohův formalismus a technika spojitě rozložených dislokací využívající teorii komplexních potenciálů. V práci je rovněž široce uplatněn tzv. dvoustavový "psí"-integrál (pro výpočet různých součinitelů asymptotického rozvoje pro napětí), založený na Bettiho recipročním teorému v kombinaci s metodou konečných prvků. Pro formulaci lomových kritérií je použita teorie tzv. „konečné lomové mechaniky“ a teorie sdružených asymptotických rozvojů. Studován je především vztah mezi ohybem trhliny podél rozhraní a její případnou pentrací do základního materiálu. Veškeré potřebné výpočty jsou prováděny v matematických softwarech MAPLE 10.0, MATLAB 7.1 a konečnoprvkovém systému ANSYS 10.0.
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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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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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Computational simulation of the compression test of the open cell metal foam
Homola, Václav ; Skalka, Petr (referee) ; Ševeček, Oldřich (advisor)
The thesis presents computational simulation of compression test of a nickel foam and the 3D reconstruction of micro-CT images was utilized to generate the foam’s model of geometry. Explicit FEM is used to simulate compression test using software tool LS-DYNA and the stress–deformation curve is obtained together with deformed model’s mesh used for subsequent analysis. Sensitivity analyses were performed to configure the model and ensure best fit with values obtained during real-life experiment. The ANSYS Classic environment was then used to simulate tensile test of the foam compressed to various thicknesses. The tensile moduli in three mutually perpendicular directions of nickel foam were computed and the results were compared to experimental values as well. The results of tensile test simulation revealed considerable anisotropy of the foam’s elastic behavior. It can be said that the measured experimental data correspond very well with the elastic properties obtained from simulation up to certain level of compression. Analysis of the relationship between the element size and tensile moduli showed a significant difference between fine and coarse mesh. The optimal level of discretization and the overall model configuration ensuring high level of accuracy is proposed in this thesis.
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Verification of operation of piezoelectric composite strain sensor
Kubiš, Juraj ; Ševeček, Oldřich (referee) ; Hadaš, Zdeněk (advisor)
The bachelor thesis deals with the use of piezoelectric elements as sensing elements in engineering practice. The work can be divided into three main parts. The first part describes the actual use of these elements in practice, either as sensing elements or as a source for energy harvesting. This section contains the selection of components for a given experiment, the creation of a model using FEM and the measurement process of the experiment. The third part is the evaluation of the obtained results and subsequent comparison with the obtained values from strain gauges and other sensors.
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