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Machine learning through geometric mechanics and thermodynamics
Šípka, Martin ; Pavelka, Michal (advisor) ; Monmarché, Pierre (referee) ; Maršálek, Ondřej (referee)
30. prosinec 2023 This thesis studies novel approaches to learning of physical models, incorporat- ing constraints and optimizing path dependent loss functions. Recent advances in deep learning and artificial intelligence are connected with established knowl- edge about dynamical and chemical systems, offering new synergies and improv- ing upon existing methodologies. We present significant contributions to sim- ulation techniques that utilize automatic differentiation to propagate through the dynamics, showing not only their promising use case but also formulating new theoretical results about the gradient behavior in long evolutions controlled by neural networks. All the tools are carefully tested and evaluated on exam- ples from physics and chemistry, thus proposing and promoting their further applications. 1
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Mechanics in Physics Olympiad tasks
PEŠTA, Adam
The subject of the Bachelor's thesis is the analysis of the contents of tasks from all categories of Physics Olympiads and the creation of a statistical perspective on the number of tasks from the field of mechanics and its subfields in individual categories. The analysis deals with selected ten retrievable years of Physics Olympiads. Based on the participants' results, category D was further analyzed in detail.
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Stiffness estimation at the machining head and the strength analysis of the moving parts of the machining center MCV 1220.
Zbožínek, Martin ; Houfek, Martin (referee) ; Vrbka, Jan (advisor)
Main objective of the work was to estimate the possibilities and the limits of elementary stress and strain analysis of the construction. At the beginning it was necessary to simplify the problem to the 1-D bar problem. The calculation was performed for three typical loading cases, namely for the middle and the border position of the machining head. The contact forces and momentums and the displacements at the machining head have been calculated. The obtained results were then used for the stiffness evaluation of the construction at the machining head. The strength analysis of the moving parts of the machinig center has been done, too. Modern software products (Autodesk Inventor, ProENGINEER, ANSYS Workbench, Maple, Mathcad, etc.) were used for the calculation. The results were compared with The Finite Element Method results.
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Mechanical/Physical Simulation of Solid Objects
Bureš, Jaroslav ; Maršík, Lukáš (referee) ; Široký, Adam (advisor)
This work deals with simulation of launching a golf ball. Here are described simulation techniques which can be used for computer simulations. In addition, physical laws are discussed, that need to be understood to create a valid golf ball launch model. These include aerodynamic laws for calculating ball's flight trajectory, as well as events occurring while ball moves on the ground. After this is analyzed implementation of the program using C++ and OpenGL graphics library. The work is completed with comparison of measured simulation results with analytical solution and values of other applications.
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Mutual interaction of multiple cracks growing in the particulate composite with brittle matrix under conditions of sub-critical crack growth
Slávik, Ondrej ; Ševeček, Oldřich (referee) ; Majer, Zdeněk (advisor)
In the first part of the submitted diploma thesis, the knowledge in the sphere of the fracture mechanics, related to the practice part of this thesis are summarized. In that the 2D parametrical numerical model of the particle composite with multiple cracks was created, using the finite elements method. Thanks to this model it is possible to find specific configurations which are showing the existance of multiple mutual interactions between these cracks, just by simple manipulation of the input data. In the calculations the influence of the residual stresses was considered which are formed during production of the material. The effect of the subcritical crack growth was taken into account as well in this thesis.
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Robot for MiniSumo
Marvan, Aleš ; Orság, Filip (referee) ; Drahanský, Martin (advisor)
This thesis deals with the subject of a mobile robot design for an international competition Minisumo. The work includes both a theoretical presentation of the robot design as well as the documentation of its realization. The development process starts with a creation of a theoretical basis, which is functioning as a source of information for the consecutive design of the mechanics, electronics and final production of the robot. The work also includes the development of control software necessary for the correct operation of the robot.
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Complex simulation model of vibration power generator
Harapát, Jan ; Ondrůšek, Čestmír (referee) ; Hadaš, Zdeněk (advisor)
This work is focusing on analysis of current development in energy harvesting projects in aerospace industry field, and on analysis of current development in vibration generator field. It is also concentrating on establishment of a complex simulation model of vibration generator. It deals with modeling of magnetic field of generator and its cross connection with a mechanic and an electronic model.
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Computational analysis of the steel-composite carrier of the machining center TM 2000
Zbožínek, Martin ; Obdržálek, Vít (referee) ; Vrbka, Jan (advisor)
The main objective of the work was to perform a computational analysis of the hybrid (steel-composite) carrier and compare the results with the original metal carrier. Static analysis, modal analysis and frequency response were solved. Computation was performed for three different relative positions of the carrier. Static stiffness, natural frequencies and dynamic compliance have been calculated. The results were verified by an experiment performed on a scaled-down model of the carrier. Modern software products, namely MSC Patran, MD Nastran, Matlab and ProENGINEER, were used for the calculation.
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Modeling of Elastic Mechanisms
Slaný, Jan ; Keršner, Zbyněk (referee) ; Frantík, Petr (advisor)
The thesis deals with constructing and solving a discrete mechanical model from the point of view of dynamics. As an example of a real-world problem which can be approximated in this way, the dynamical behaviour of a bow and arrow during loose have been chosen. In order to solve this particular type of model, a specialized piece of software has been developed. This method and software have been deployed to simulate shooting a straight bow of specific parametres. Two variants for the shape of the bowstaff have been evaluated.
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Simulation of a Golf Ball Trajectory from Video
Hlobil, Marek ; Ševcovic, Jiří (referee) ; Chmelař, Petr (advisor)
This work deals with the golf ball flight simulation based on video recordings. The way how to determine the trajectory of a golf ball using several initial points is described here. For the ball recognition there are used computer vision techniques, particulary pattern recognition. The work covers physics of the golf ball, it deals with physical influences that occurs during the ball flight and it tries to describe the trajectory approximation.
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