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Van der Pol oscillator analysis
Huf, Milan ; Hadraba, Petr (referee) ; Rubeš, Ondřej (advisor)
This thesis describes study of nonlinear systems, especially the Van der Pol oscillator. The theoretical part of this thesis is devoted to the basic theory of nonlinear oscillation. The aim of the practical part of this thesis is to describe the behaviour of the forced and unforced Van der Pol oscillator.
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Analýza Duffingova oscilátoru
Sosna, Petr ; Hadraba, Petr (referee) ; Rubeš, Ondřej (advisor)
This thesis analyses the simplest model of nonlinear oscillations, the Duffing oscillator. Methods of nonlinear dynamics are used for analysis of the Duffing equation which describes such oscillations. Numerical solution focuses on the dynamics of twin-well potencial oscillations. The effect of all the parameters of the Duffing equation on the system is shown. Coexisting periodic and chaotic attractors are discussed as well as possible bifurcations of the system. A bifurcation diagram for a specific system is created. The thesis concludes with simulation of basins of attraction for different values of excitation force and frequency.
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Nonlinear Energy Harvesting Devices
Rubeš, Ondřej ; Singule, Vladislav (referee) ; Maga, Dušan (referee) ; Hadaš, Zdeněk (advisor)
This thesis is focused on vibration energy harvester, which is a device converting kinetic energy of vibrations into electrical energy. The approximate dimensions of the device are ten centimeters, and the output power is in milliwatts. A device that generates such amount of power can function as a power source for communication modules and can be used for wireless sensors, which can be utilized for example in the Internet of Things. Existing devices are based on a simple linear oscillator, but they have a narrow operating frequency bandwidth, where they can operate effectively. The bandwidth extension of vibration energy harvesters using nonlinear characteristics is the main aim of this thesis. It leads to a design of a nonlinear device with wide operating frequency bandwidth that provides higher implementation in industry.
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Nonlinear Energy Harvesting Devices
Rubeš, Ondřej ; Singule, Vladislav (referee) ; Maga, Dušan (referee) ; Hadaš, Zdeněk (advisor)
This thesis is focused on vibration energy harvester, which is a device converting kinetic energy of vibrations into electrical energy. The approximate dimensions of the device are ten centimeters, and the output power is in milliwatts. A device that generates such amount of power can function as a power source for communication modules and can be used for wireless sensors, which can be utilized for example in the Internet of Things. Existing devices are based on a simple linear oscillator, but they have a narrow operating frequency bandwidth, where they can operate effectively. The bandwidth extension of vibration energy harvesters using nonlinear characteristics is the main aim of this thesis. It leads to a design of a nonlinear device with wide operating frequency bandwidth that provides higher implementation in industry.
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Van der Pol oscillator analysis
Huf, Milan ; Hadraba, Petr (referee) ; Rubeš, Ondřej (advisor)
This thesis describes study of nonlinear systems, especially the Van der Pol oscillator. The theoretical part of this thesis is devoted to the basic theory of nonlinear oscillation. The aim of the practical part of this thesis is to describe the behaviour of the forced and unforced Van der Pol oscillator.
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Analýza Duffingova oscilátoru
Sosna, Petr ; Hadraba, Petr (referee) ; Rubeš, Ondřej (advisor)
This thesis analyses the simplest model of nonlinear oscillations, the Duffing oscillator. Methods of nonlinear dynamics are used for analysis of the Duffing equation which describes such oscillations. Numerical solution focuses on the dynamics of twin-well potencial oscillations. The effect of all the parameters of the Duffing equation on the system is shown. Coexisting periodic and chaotic attractors are discussed as well as possible bifurcations of the system. A bifurcation diagram for a specific system is created. The thesis concludes with simulation of basins of attraction for different values of excitation force and frequency.
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Strong non-linear oscillators modelling
Kocanda, Lubomír
Several basic features of soft impact oscillators were invented and proved by means of experiment, numerical simulation and theoretical solution. The strong and soft impact phenomena and stable grazing bifurcation crossing were explained by means of the analytical solution, as well. New methods of piecewise linear system stability investigation were designed and compare with conventional methods. Some basic piecewise linear system features were found.
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