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Large model simulations in molecular dynamics problems
Pelikán, Vladimír ; Hora, Petr ; Machová, Anna
Molecular dynamics simulation is a well-established techniquefor modelling complex many-particle systems in diverse areas of physics andchemistry. The computational requirements of simulations of large systems,especially when taking into account long-range interactions, are enormous.Two basic tasks in molecular dynamics simulation are surface relaxation andheating. Both of these tasks are studied in this contribution.
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Dimensional transmutation in quantum theory
Ebr, Jan ; Hořejší, Jiří (advisor) ; Novotný, Jiří (referee)
This work deals with two models - from the quantum eld theory it is the massless scalar electrodynamics (the so-called Coleman-Weinberg model) and from quantum mechanics it is the contact (-function) potential (in two dimensions) - that are apparently invariant under some sort of scale transformations and thus they, in suitably chosen units, contain only dimensionless parameters. It turns out that even in the quantum-mechanical case one has to add an additional procedure to the formal denition of the model and that the use of dierent physical regulators leads to the same results, that furthermore agree with the predictions of the mathematically rigorous method of self-adjoint operator extensions. In this work, we present detailed calculations supporting this result. Contrary to the common literature, we do so in a straightforward manner, which can be followed step by step (with all the necessary elements of functional analysis summarised in the Appendix). In quantum eld theory we apply a similar approach, when we "rediscover" the results of the abstract functional methods in the ordinary perturbation theory. In its framework, we further show how to obtain predictions also for other quantities than particle masses.
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Thermal Effects in Physics and Dynamics of Small Bodies of the Solar System
Čapek, David
Thermal Effects in Physics and Dynamics of Small Bodies of the Solar System Abstract of the Ph.D. thesis \s David Capek It has been shown, that the thermal effects are very important in the dynamics of small Solar System bodies. A phenomenon which is known as the Yarkovsky effect is able to secularly change the semimajor axis of an orbit, while the YORP effect affects the rotation state of a body. The Yarkovsky effect and the YORP effect were previously calculated with many constraining assumptions like spherical shapes of asteroids, circular orbits, small variations of the surface temperature, principal axis rotation, constant thermal parameters, etc. We developed a sophisticated numerical model of the Yarkovsky/YORP effect without such simplifications. With this model, we have been able to describe the shape, the orbit, the rotation and the thermal behaviour of an asteroid in a very precise way. The YORP effect was studied on a sample of artificially generated shapes, roughly resembling Main Belt asteroids, and also on several shapes of real asteroids. The depen- dence of YORP on the obliquity and the thermal parameters of the surface were studied (Vokrouhlicky and Capek, 2002; Capek and Vokrouhlicky, 2004). A wide variety of pos- sible YORP evolution paths of the spin state was found. The possibility of...
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Cutting force analysis when 5-axis milling
Dvořáček, Jan ; Kalivoda, Milan (referee) ; Polzer, Aleš (advisor)
The diploma thesis is focused on machining using the ball-end shank mill. Content of the preliminary part of the work is a shank mill characteristic and a consequent part shows a splitting of ball-end milling cutters, its application, the cutting tool geometry and a characteristic signs of machining. The cutting force model of the ball-end mill is presented as well. A part of proposed model is the conversion of the resultant force too. Practical part is aimed at cutting force analysis of the ball-end mill and the main purpose of this part is a quantification of the cutting force for different work piece tilt angles while milling is performed.
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Modeling and Simulation of Mobile working machine Powertrain
Zavadinka, Peter ; Věchet, Stanislav (referee) ; Kriššak,, Peter (advisor)
Táto diplomová práca sa zaoberá vytvorením dynamického modelu mobilného pracovného stroja. Ciežom práce je vytvorenie blokového modelu pohonu štvorkolesového mobilného pracovného stroja. Model hydrostatického prevodu bol dodaný firmou Sauer-Danfoss. Model mobilného pracovného stroja bol vytvorený v programe MATLAB-Simulink. Dalšou časťou práce je výber typu riadenia hydrostatického prevodu a návrh riadiaceho algoritmu hydrostatického prevodu. Výstupom práce je blokový matematicko-fyzikálny model pohonu štvorkolesového mobilného pracovného stroja spolu s riadiacim algoritmom hydrostatického prevodu v prostredí MATLAB-Simulink.
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Modelling of linear power drive with DC motor for control purposes
Vrbka, Michal ; Březina, Lukáš (referee) ; Houška, Pavel (advisor)
In my diploma thesis, I developed the model of a linear actuator for the control purposes. The first part summarizes the literature research of currently available linear actuator systems. The work further describes some of the capabilities of the simulation environment Matlab which was used for the creation of the computer model of linear actuators. In the last part, this theoretical model is compared with already available physical model of the system.
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Comparison of two models of forest transpiration
Šír, Miloslav ; Čermák, J. ; Naděždina, N. ; Naděždin, V. ; Tesař, Miroslav
Two transpiration models were tested in the paper, one is with plant control, and another without plant control. Principle of the (1) model with plant control was, that physical mechanism of transpiration is evaporation actively controlled by plants. The supposed mechanism is: part of the heat (heat equivalent of the energy absorbed from solar radiation), which would cause overheating the plant above 25 ºC is dissipated by evaporation. The model has five physical parameters, which are in principle measurable. (2) The model without plant control is based on the assumption, that transpiration dissipates a constant fraction of the heat from the heat equivalent of absorbed solar radiation (about 45 %). The model needs only one measurable physical parameter. Both models were tested by comparing their results with results actually measured daily totals of transpiration (via sap flow) in the floodplain forest Pohansko (near the town of Břeclav, southernmost Moravia), which was typical with almost non-limiting soil water supply over the period May 1 to Sept. 30, 1998. Results of both models were almost equal. We discussed their physical differences evaluating their goals and weak points and specified a program for further testing the physical mechanism of transpiration.
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