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Frequency and Transient Responses Based on Differential Equations
Turoňová, Lenka ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This bachelor thesis deals with the investigation of amplitude and phase frequency responses of linear electrical circuits. It compares classical methods of investigation using a symbolic-complex method with investigation using differential equations. For graphical representation of the responses in the case of the symbolic-complex method there was used for demonstration of examples programs MATLAB and Maple. The aim of this work was also to create graphical user interface over TKSL/C, which allows input of differential equations and plotting amplitude and phase frequency responses.
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Evaluation of risk of buckling in bimaterial columns
Benešovský, Marek ; Návrat, Tomáš (referee) ; Burša, Jiří (advisor)
Bachelor’s thesis contains the principle of determining the critical load of buckling of column with nonconstant parameters. There is a solution for the column composed of one and two materials and solutions for the column with two different cross-sections. An essential part of this work is the numerical solution, which is used for solving nonlinear equations in implicit form. In this work, these equations occur when solving columns of two materials and two different cross-sections. For the numerical solution, it is necessary to set an initial approximation. Initial aproximation and numerical solution are solved by a program, which was created for this work. In the final part, are stated several graphs. The most important graph represents relation of the ratio of approximate critical load obtained by interpolation of Euler's relation and critical load gained numerically on the ratio of Young’s modules of both materials.
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Frequency and Transient Responses Based on Differential Equations
Turoňová, Lenka ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This bachelor thesis deals with the investigation of amplitude and phase frequency responses of linear electrical circuits. It compares classical methods of investigation using a symbolic-complex method with investigation using differential equations. For graphical representation of the responses in the case of the symbolic-complex method there was used for demonstration of examples programs MATLAB and Maple. The aim of this work was also to create graphical user interface over TKSL/C, which allows input of differential equations and plotting amplitude and phase frequency responses.
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|
|
Evaluation of risk of buckling in bimaterial columns
Benešovský, Marek ; Návrat, Tomáš (referee) ; Burša, Jiří (advisor)
Bachelor’s thesis contains the principle of determining the critical load of buckling of column with nonconstant parameters. There is a solution for the column composed of one and two materials and solutions for the column with two different cross-sections. An essential part of this work is the numerical solution, which is used for solving nonlinear equations in implicit form. In this work, these equations occur when solving columns of two materials and two different cross-sections. For the numerical solution, it is necessary to set an initial approximation. Initial aproximation and numerical solution are solved by a program, which was created for this work. In the final part, are stated several graphs. The most important graph represents relation of the ratio of approximate critical load obtained by interpolation of Euler's relation and critical load gained numerically on the ratio of Young’s modules of both materials.
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