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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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Determination of a rectangular plate deformation
Mácha, Tomáš ; Profant, Tomáš (referee) ; Hrstka, Miroslav (advisor)
The aim of the thesis is to derive the analytical equations for calculating the deformation of a rectangular plate using Kirchhoff and Mindlin theory and their subsequent application. The first section provides some basic relations in the theory of elasticity, on which this derivation is based. Both of the theories are solved using Navier method of Fourier series. By the following the results of these two methods can be compared. The comparison is carried out using Python where the derived relations with given input parameters are used. This is how the magnitude of deflection over the entire surface of the plate is obtained. Historical part includes a description of the gradual development from the second half of the 18th century, up to the invention of the finite element method. Finally, these theories have been applied to some specific examples and the results have been analyzed and consecutively compared with results from ANSYS. The limitations and suitability of these theories are then outlined.
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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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|
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Determination of a rectangular plate deformation
Mácha, Tomáš ; Profant, Tomáš (referee) ; Hrstka, Miroslav (advisor)
The aim of the thesis is to derive the analytical equations for calculating the deformation of a rectangular plate using Kirchhoff and Mindlin theory and their subsequent application. The first section provides some basic relations in the theory of elasticity, on which this derivation is based. Both of the theories are solved using Navier method of Fourier series. By the following the results of these two methods can be compared. The comparison is carried out using Python where the derived relations with given input parameters are used. This is how the magnitude of deflection over the entire surface of the plate is obtained. Historical part includes a description of the gradual development from the second half of the 18th century, up to the invention of the finite element method. Finally, these theories have been applied to some specific examples and the results have been analyzed and consecutively compared with results from ANSYS. The limitations and suitability of these theories are then outlined.
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