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Mathematical models of linear and nonlinear oscillators
Lovas, David ; Opluštil, Zdeněk (referee) ; Čermák, Jan (advisor)
This bachelor thesis deals with mathematical models of linear mechanical oscillators, which represent one of basic applications of ordinary differential equations. There are explained harmonic oscillators, damped oscillators and driven oscillators. The thesis discusses also superposition of oscillators and coupling of oscillators, including their synchronization.
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Mutual interaction of pressure pulsations and pulsations of undirect pipe
Hrazdíra, Zdeněk ; Pochylý, František (referee) ; Habán, Vladimír (advisor)
This thesis deals with mathematical modeling of multiphysics FSI (fluid-structure interaction) problem, describing mutual interaction of pressure pulsations and vibrations of indirect pipe in a 2D region. Firstly, physical partial differential equations are derived separately for both media, which are in turn coupled and solved analytically. Results of mentioned models include natural frequency values, amplitude-frequency characteristics and both natural and driven damped oscillations of pipe and liquid.
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Mathematical models of linear and nonlinear oscillators
Lovas, David ; Opluštil, Zdeněk (referee) ; Čermák, Jan (advisor)
This bachelor thesis deals with mathematical models of linear mechanical oscillators, which represent one of basic applications of ordinary differential equations. There are explained harmonic oscillators, damped oscillators and driven oscillators. The thesis discusses also superposition of oscillators and coupling of oscillators, including their synchronization.
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|
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Mutual interaction of pressure pulsations and pulsations of undirect pipe
Hrazdíra, Zdeněk ; Pochylý, František (referee) ; Habán, Vladimír (advisor)
This thesis deals with mathematical modeling of multiphysics FSI (fluid-structure interaction) problem, describing mutual interaction of pressure pulsations and vibrations of indirect pipe in a 2D region. Firstly, physical partial differential equations are derived separately for both media, which are in turn coupled and solved analytically. Results of mentioned models include natural frequency values, amplitude-frequency characteristics and both natural and driven damped oscillations of pipe and liquid.
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