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Mathematical modelling of mechanical systems
Kamarýt, Petr ; Čermák, Jan (referee) ; Šremr, Jiří (advisor)
This bachelor thesis deals with mathematical modelling of mechanical systems. In the first two chapters Lagrangian mechanics and system of ordinary differential equations are summarized. In the third chapter equations of motion of double pendulum are derived. Approximative system, special cases and sensitivity of solution to non-linear system on initial conditions change are further analysed.
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Design of automatic drive for church bells
Zajíc, Jiří ; Březina, Lukáš (referee) ; Krejsa, Jiří (advisor)
The Diploma thesis describes the design, manufacture and testing of a universal automation machine for church bells. The research section summarizes the bell, way of use and properties. The drives and their starting and power switching characteristic are analyzed. The chain drive based on the selected engine and the whole assembly is designed and tested by using PLC. Unique controller based on a modular design was designed. Sensors based on magnetic rotary encoder were also created for this unit. The entire circuit was tested on three evangelical church bells in the town Klobouky u Brna.
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Analysis of chaotic behavior in double pendulum
Brázda, Tomáš ; Lošák, Petr (referee) ; Sosna, Petr (advisor)
This thesis deals with the presentation of basic knowledge regarding chaos theory. There are mentioned several basic methods of dimension calculation as well as the overall use of this theory in various scientific disciplines. The main part is devoted to the complete analysis of a double pendulum. To initiate into the issue, this situation was outlined on a simple mathematical basis pendulum. There is derived a numeral system of two differential equations of second order to work with the double pendulum. Thanks to computer program Matlab there was created a fractal that represents chaotic behavior of the double pendulum. Knowledge acquired from dimension calculation was used here to classify the fractal and to work out its dimension. In addition there was analyzed impact of parameters of behavior in system. This overall chaotic behavior has been verified by the largest Lyapunov exponent and the 0–1 test, which identified areas, where this system behaves chaotically and where it is stable.
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Mathematical modelling of mechanical systems
Kamarýt, Petr ; Čermák, Jan (referee) ; Šremr, Jiří (advisor)
This bachelor thesis deals with mathematical modelling of mechanical systems. In the first two chapters Lagrangian mechanics and system of ordinary differential equations are summarized. In the third chapter equations of motion of double pendulum are derived. Approximative system, special cases and sensitivity of solution to non-linear system on initial conditions change are further analysed.
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|
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Design of automatic drive for church bells
Zajíc, Jiří ; Březina, Lukáš (referee) ; Krejsa, Jiří (advisor)
The Diploma thesis describes the design, manufacture and testing of a universal automation machine for church bells. The research section summarizes the bell, way of use and properties. The drives and their starting and power switching characteristic are analyzed. The chain drive based on the selected engine and the whole assembly is designed and tested by using PLC. Unique controller based on a modular design was designed. Sensors based on magnetic rotary encoder were also created for this unit. The entire circuit was tested on three evangelical church bells in the town Klobouky u Brna.
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