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Modelling of dynamics systems with multi degrees of freedom
Ondra, Václav ; Donát, Martin (referee) ; Dušek, Daniel (advisor)
The aim of this work is for a dynamic system with multiple degrees of freedom to assemble and solve the equations of motion. In the beginning of work are summarized the basic knowledge about the dynamic oscillating systems, their distribution, method of mathematical description etc. In the following part of work are for the given set of particles assembled equations using Lagrange equations of the second kind. The solution of equation is made in mathematical system MAPLE for frequency domain. To determine the position of particles in time was used MATLAB. Research results are graphs of amplitude and frequency characteristics and graph of positions of particles in time. There is discussion on the influence of systems parameters on oscillation. The conclusion is a comparison of analytical solution with the solution of finale elements conclusion in ANSYS.
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Modelling of dynamics systems with multi degrees of freedom
Světnický, Tomáš ; Lošák, Petr (referee) ; Dušek, Daniel (advisor)
The goal of this thesis is to create a mathematical model of multi-degree-of-freedom vibrating system based on motion equations. The introduction describes the theoretical distribution of dynamic vibrating systems and their main characteristics. The next part deals with the analysis of assigned system and the motion equations are constructed by using Lagrange equations of the second kind. The process of system solving is provided together with equations which were used for obtaining the natural frequencies, eigenmodes and amplitudes of objects in time. The actual solution is carried out in MAPLE software; graphs of amplitude characteristics, phase characteristics and objects amplitude in time are constructed. Influence of parameters entering the calculation is discussed. At the end is verified the accuracy of the analytical solution by the finite element method in ANSYS software.
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Analysis of model operation of multi-degree-of-freedom energy harvester
Witassek, Tomáš ; Rubeš, Ondřej (referee) ; Hadaš, Zdeněk (advisor)
The first part of this bachelor’s thesis is an overview of vibration energy harversters with multiple degrees of freedom. Several options of broadening the usefull frequency bandwidth thanks to multiple degrees of freedom are described in the overview. The following part is a model in Matlab & Simulink analyzing behaviour of a vibration-powered generator with a harmonic excitation and another one with a real excitation. The main focus is on the output electrical power and energy in relation to geometrical parameters and electromagnetic damping.
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Analysis of model operation of multi-degree-of-freedom energy harvester
Witassek, Tomáš ; Rubeš, Ondřej (referee) ; Hadaš, Zdeněk (advisor)
The first part of this bachelor’s thesis is an overview of vibration energy harversters with multiple degrees of freedom. Several options of broadening the usefull frequency bandwidth thanks to multiple degrees of freedom are described in the overview. The following part is a model in Matlab & Simulink analyzing behaviour of a vibration-powered generator with a harmonic excitation and another one with a real excitation. The main focus is on the output electrical power and energy in relation to geometrical parameters and electromagnetic damping.
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|
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Modelling of dynamics systems with multi degrees of freedom
Světnický, Tomáš ; Lošák, Petr (referee) ; Dušek, Daniel (advisor)
The goal of this thesis is to create a mathematical model of multi-degree-of-freedom vibrating system based on motion equations. The introduction describes the theoretical distribution of dynamic vibrating systems and their main characteristics. The next part deals with the analysis of assigned system and the motion equations are constructed by using Lagrange equations of the second kind. The process of system solving is provided together with equations which were used for obtaining the natural frequencies, eigenmodes and amplitudes of objects in time. The actual solution is carried out in MAPLE software; graphs of amplitude characteristics, phase characteristics and objects amplitude in time are constructed. Influence of parameters entering the calculation is discussed. At the end is verified the accuracy of the analytical solution by the finite element method in ANSYS software.
|
|
|
Modelling of dynamics systems with multi degrees of freedom
Ondra, Václav ; Donát, Martin (referee) ; Dušek, Daniel (advisor)
The aim of this work is for a dynamic system with multiple degrees of freedom to assemble and solve the equations of motion. In the beginning of work are summarized the basic knowledge about the dynamic oscillating systems, their distribution, method of mathematical description etc. In the following part of work are for the given set of particles assembled equations using Lagrange equations of the second kind. The solution of equation is made in mathematical system MAPLE for frequency domain. To determine the position of particles in time was used MATLAB. Research results are graphs of amplitude and frequency characteristics and graph of positions of particles in time. There is discussion on the influence of systems parameters on oscillation. The conclusion is a comparison of analytical solution with the solution of finale elements conclusion in ANSYS.
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