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Flow in channels with open water level
Palička, Miroslav ; Štigler, Jaroslav (referee) ; Haluza, Miloslav (advisor)
This bacherol thesis deals with steady water flow, in open channels with different cross-sections. The main aim was mathematical derivation of relations for the most favorable water level, graphic representation of those relations and numerical confirmation of results. Practical use and evaluation of results are summarized in conclusion.
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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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Optimal Parameters Of Generalized Laguerre Functions
Kárský, Vilém
This article concentrates on the Laguerre functions and on choosing optimal values of their free parameters. On an example there are compared errors in approximation using the Laguerre functions with different values of their free parameters. These free parameters were at first firmly selected, then they were calculated using mathematical moments, and in the end, their values were further corrected using the Newton’s method.
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Flow in channels with open water level
Palička, Miroslav ; Štigler, Jaroslav (referee) ; Haluza, Miloslav (advisor)
This bacherol thesis deals with steady water flow, in open channels with different cross-sections. The main aim was mathematical derivation of relations for the most favorable water level, graphic representation of those relations and numerical confirmation of results. Practical use and evaluation of results are summarized in conclusion.
|
|
|
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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