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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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Fir Filter Resonance Compensation For Random Vibration Generation
Kunz, Jan
This paper deals with a random vibration generation on vibration shakers using a FIR filter. Every shaker has its resonances and anti-resonances which causes troubles in random vibration generation, for instance in presented shaker the difference between maximum and minimum in frequency characteristic is nearly 50 dB. Therefore, we decided to create a FIR filter with inverse characteristic with respect to the shaker to minimize those differences. To design such a filter a freqeuncy characteristic of the shaker has to be measured, then the characteristic is simplified using Ramer–Douglas–Peucker algorithm. Finally, the characteristic is inverted and FIR filter is designed using Remez algorithm. Using this FIR filter the difference in frequency characteristic drops from 50 dB to less 2 dB.
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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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Measurement, analysis and identification of complex modulus of elasticity of a ruber segment pressed onto a rubber-damped whell
Pešek, Luděk ; Šulc, Petr ; Bula, Vítězslav ; Cibulka, Jan
The aim of this study was to measure, analyze and identify the complex modulus of elasticity of rubber segments pressed onto the "Hong Kong" rubber-damped railway wheels in relation to the deformation nodes of wheel vibrations. The main goal was to improve the description of the frequency dependence of the material constants of the rubber segments pressed between the disk and the rim with large pre-stress (about 20%) during the production of the rubber-damped wheel. The solution consists of two parts: a) the modal analysis of the railway wheel, b) the identification of the frequency dependence of Youngś modulus and the loss factor of the wheel rubber by the finite element method. The obtained results are in good accordance with the behavior of hard synthetic rubber.
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