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Modelling of vibration of dynamic systems with n-degrees of freedom
Horák, Petr ; Hadaš, Zdeněk (referee) ; Dušek, Daniel (advisor)
The aim of this work is to assemble mathematical model for given system of point masses. Compute the natural frequencies and their corresponding modes of vibration. Differentiations of vibration by various points of view are written in this work. The given system is analyzed and the equations of motion using two most common methods are written. Calculation procedure of mentioned physical quantities is written in order from simplified to complete system of point masses. This procedure is used in command file to express values numerical. The frequency response of the system and the displacement-time plots are shown. The impact of constant variability entering the calculation is described.
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Comparision of methods for nonlinear dynamic sytems solution
Krejčí, Jaroslav ; Lošák, Petr (referee) ; Dušek, Daniel (advisor)
The aim of this work is to make a solution of nonlinear dynamic system with one degree of freedom using various approximate analytical methods and perform their comparison. The beginning of the work describes the basic characteristics of nonlinear dynamic systems, methods of modelling and a description of the basic analytical methods of solution. In the following part is the solution of the system using described methods and comparing of results. In conclusion the methods are compared with final element method by program ANSYS.
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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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Experimental analysis of a fixed beam dynamic behavior
Poduška, Jan ; Houfek, Lubomír (referee) ; Březina, Lukáš (advisor)
This thesis is dealing with analysis of dynamic behavior of a fixed beam. An analysis of the applied mathematical model is proposed in the work. The mathematical model is then realized in MATLAB programming environment. Modal frequencies and mode shapes are con- sequently computed and results are compared to those obtained from the experimental modal analysis.
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Comparision of methods for nonlinear dynamic sytems solution
Krejčí, Jaroslav ; Lošák, Petr (referee) ; Dušek, Daniel (advisor)
The aim of this work is to make a solution of nonlinear dynamic system with one degree of freedom using various approximate analytical methods and perform their comparison. The beginning of the work describes the basic characteristics of nonlinear dynamic systems, methods of modelling and a description of the basic analytical methods of solution. In the following part is the solution of the system using described methods and comparing of results. In conclusion the methods are compared with final element method by program ANSYS.
|
|
|
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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|
|
Experimental analysis of a fixed beam dynamic behavior
Poduška, Jan ; Houfek, Lubomír (referee) ; Březina, Lukáš (advisor)
This thesis is dealing with analysis of dynamic behavior of a fixed beam. An analysis of the applied mathematical model is proposed in the work. The mathematical model is then realized in MATLAB programming environment. Modal frequencies and mode shapes are con- sequently computed and results are compared to those obtained from the experimental modal analysis.
|
|
|
Modelling of vibration of dynamic systems with n-degrees of freedom
Horák, Petr ; Hadaš, Zdeněk (referee) ; Dušek, Daniel (advisor)
The aim of this work is to assemble mathematical model for given system of point masses. Compute the natural frequencies and their corresponding modes of vibration. Differentiations of vibration by various points of view are written in this work. The given system is analyzed and the equations of motion using two most common methods are written. Calculation procedure of mentioned physical quantities is written in order from simplified to complete system of point masses. This procedure is used in command file to express values numerical. The frequency response of the system and the displacement-time plots are shown. The impact of constant variability entering the calculation is described.
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