|
|
The solving of ordinary differential equations by means of the Laplace transform method
Klimeš, Lubomír ; Tomášek, Petr (referee) ; Čermák, Jan (advisor)
The Laplace transform is a very powerful mathematical tool for solving of ordinary linear differential equations with constant coefficients. Its usage is wide - it can be applied to first order and also to higher order equations, it is very convenient for solving of differential equations with several forcing terms (including noncontinuous terms) and of course, it can be used for solving of systems of ordinary differential equations. The Laplace transform plays the key role in control theory, where the transformation of the differential equation of the control system enables to analyse the behavior of this system, e. g. its reaction to input values. Our aim was to present essentials of the Laplace transform theory and demonstrate this strong mathematical tool in the solving of concrete problems, including the usage of the software Maple.
|
|
|
Assessment of service conditions of the screw grips of testing machine MTS 810
Votroubek, Tomáš ; Čermák, Jan (referee) ; Náhlík, Luboš (advisor)
This diploma thesis is aimed to assessment of safety of screw grips of testing machine MTS 810. Some parts of grips are predisposed to damage at low temperature (-180°C), e.g. spacer, isolating ceramics lamellas, etc. To guarantee its perfect function under hard laboratory conditions the finite element analysis was performed and suitable modifications grips parts have been suggested with respect to maximum of application of recent parts. Part of the thesis is devoted to suggestion of suitable tightening torque of experimental sample under different temperatures. For necessary numerical computations FEM system Ansys was used.
|
|
| |
|
|
Research and development of bearings for traction motors
Prášilová, Alena ; Čermák, Jan (referee) ; Vrbka, Martin (advisor)
This master’s thesis deals with construction design of cylindrical roller bearing for traction motor and design of life test tool for designed bearing. At the thesis beginning there is an overview of new trends in design of cylindrical roller bearing, according to new trends is designed a new construction design of cylindrical roller bearing. Other part of thesis is strain stress analysis, which assesses an optimal inclination of collar faces and optimal raceway modification of hybrid bearing rings. At the end life test will be analyzed.
|
|
|
Apartment building Sadová
Čermák, Jan ; Janda, Lukáš (referee) ; Brzoň, Roman (advisor)
The subject of the Bachelor's thesis is an elaboration of documentation for construction of an apartment house in Brno, district of Brno-Sadová. This is a detached building on a slightly sloping ground with three floors above ground and one underground floor with 10 residential units. The basement floor is designed from forged blocks a lost shuttering. Ground floor consists of a design system of ceramic bricks. Ceiling construction are monolithic reinforced concrete and building roofing is solved by warm flat roof
|
|
|
The effect of texture geometry on friction and lubricating film formation in radial journal bearing
Katrincová, Tereza ; Čermák, Jan (referee) ; Šperka, Petr (advisor)
The aim of this diploma thesis is to find out how the geometric parameters of circular textures affect the friction and lubrication in a conformal contact. The configuration of a partial, radial, hydrodynamic bearing was investigated on a modified block on-ring device, where the block was replaced by a sapphire section. The device allows simultaneous measurement of friction and optical observation of processes in contact. The light induced fluorescence method was used for the measurement of film thickness. None of the studied texture combinations had a positive effect on the transition from hydrodynamic mode to mixed lubrication mode. Textures in the narrow band of the combination of diameter and depth have a positive effect, outside of them negative effect of texture on friction and film thickness was observed.
|
|
|
Calculations and applications of fractional calculus
Zemčíková, Michaela ; Nechvátal, Luděk (referee) ; Čermák, Jan (advisor)
This bachelor’s thesis deals with the calculations and applications of fractional calculus. The aim of this thesis is to mention some basic fundamentals, definitions and properties of fractional calculus, that will be used for calculations of fractional integrals and derivations of selected elementary functions focus on power functions. In next part thesis will be concerned with fractional diffusion equation, which describes subdiffusive processes. Its result will be compared with the standard diffusion.
|
|
|
The Qualitative and Numerical Analysis of Nonlinear Delay Differential Equations
Dvořáková, Stanislava ; Baštinec, Jaromír (referee) ; Šremr,, Jiří (referee) ; Čermák, Jan (advisor)
Disertační práce formuluje asymptotické odhady řešení tzv. sublineárních a superlineárních diferenciálních rovnic se zpožděním. V těchto odhadech vystupuje řešení pomocných funkcionálních rovnic a nerovností. Dále práce pojednává o kvalitativních vlastnostech diferenčních rovnic se zpožděním, které vznikly diskretizací studovaných diferenciálních rovnic. Pozornost je věnována souvislostem asympotického chování řešení rovnic ve spojitém a diskrétním tvaru, a to v obecném i v konkrétních případech. Studována je rovněž stabilita numerické diskretizace vycházející z $\theta$-metody. Práce obsahuje několik příkladů ilustrujících dosažené výsledky.
|
|
|
Voronoi cell constructions on the map
Čermák, Jan ; Hrdina, Jaroslav (referee) ; Pavlík, Jan (advisor)
This bachelor’s thesis deals with study of Voronoi cell and its representation in Voronoi diagrams and their construction on the model of Earth’s surface. At first, Voronoi diagrams and their characteristics are explained in a plane, we describe their construction using Fortune’s algorithm, then spherical geometry is explained. Then we take a look at some equations that are useful for calculating on a sphere, and we use them for calculating distances on Earth, which we approximate with a sphere. Finally we apply Fortune’s algorithm on a sphere, we explain the principles of construction of Voronoi diagrams with this algorithm on a sphere and changes compared to the planar case that must be taken care of. The goal of the thesis is to display Voronoi diagram on Google maps, thus we work with Google Maps API.
|
|
|
Apartment complex Netroufalky, building F - building technology project
Čermák, Jan ; Valenta, Michal (referee) ; Biely, Boris (advisor)
The subject of the diploma thesis is to elaborate a selected part of the construction technology project for an apartment building in the Campus residential complex II, situated in Brno – Bohunice. Specifically, an apartment building (object F, designated SO 204) was selected, on which monolithic structures of the substructure will be solved. The content of the work is a technical report to the construction technology project, evaluation of transport routes, elaboration of technological regulations for selected technological stages, time schedule for the selected stage and partial detailed section of a typical floor. Furthermore, the construction site equipment with drawing and text part, control and test plan, itemized budget with bill of quantities, design of machine assemblies and work safety solutions are elaborated.
|
guest ::
RSS feed.