This thesis, within a long-term project at the Institute of automotive engineering at FME BUT, aspires to prepare a motorcycle for analysis of its dynamic riding behavior. A multi-body model of a motorcycle is created based on the measured parameters and a system for measuring driving conditions is designed. The necessary motorcycle parameters were measured using a 3D scanner and through experiments aided by computer technology and CAD software. This laid the foundation for the follow-up research and development work.

This thesis deals with mathematical modelling of water flow through the safety object. It explains the principle of mathematical modelling and its laws. There is also present-ed the mathematical models used by numerical modelling. The results of mathemati-cal model Koryčany are included in this thesis compared with hydraulic calculations and physical model.

This master’s thesis deals with the design of a simulator for measuring the response of a human operator in the MATLAB program and the Simulink extension. The first part summarizes the theory of mathematical models of human operator, which is followed by a description of a simulator for response measurement with a graphical user interface. In the last part, the basic measurement of human operator response to different scenarios, comparison of quality of control for different operators and identification of model for individual operators are performed.

The goal of this work is modelling and design of an inverted pendulum prototype. The work presents a mathematical model of a rotary pendulum, modelling of a BLDC motors and also a 3D model of the pendulum prototype is present. The work mentions design of the state space controller and swing up control of the inverted pendulum. Dynamics obtained from the mathematical model is used to create a 3D dynamic model of a pendulum, with the use of the Simscape toolbox. The work deals with control of a BLDC motors with use of vector control. The algorithm is implemented on the CompactRIO platform. Later, hardware is developed, containing STMicroelectronis microcontroller, capable of replacing the CompactRIO platform.

Mathematical models of gasification are suitable for predicting gas composition and its properties. The aim of the diploma thesis is to compile a mathematical model for biomass gasification. The first part deals with the description of gasification and the technologies used. Theoretical part consists of the search of modeling methods. Other theoretical part is devoted to the description of the model and equations presented in the thesis. Part of the assignment is a parametric study that shows changes in gas production and its properties when changing the parameters. Finally, the model is compared with the data obtained in the experiment on the fluid reactor biofluid 2.

The topic of this master‘s thesis is the axle Limited-slip Differential. The first part is devoted to the description of types of differentials open, locked or self-locking. The next part describes the procedure of creating a mathematical model for the simulation of vehicle movement based on input parameters and subsequent comparison of vehicle behavior with open and locked differential. The final part of the work based on data obtained from the model with a Limited-slip Differential is devoted to the design of a differential for a vehicle with one driven axle.

This diploma thesis is focused on sensorless DC motor control based on its mathematical model. This solution will be used for Honyewell actuators (type ML5410 and N10010/N05010). The aim of this thesis is to find out if there is a possibility to use this type of motor control for future to replace the existing type of motor control using Hall sensor for measuring speed of motor.

Diploma thesis deals with using microtunneling method in Pardubice-city. Evaluate construction of sewer and assessing the posibilities of furthert use of this technology. The work include static assessment of jacking pipes. Mathematical modeling is used in software Plaxis 8.2.

Solární sušení je mimo jiné energeticky nenáročná a tudíž vysoce ekologická cesta pro zpracování kalů z malých čistíren odpadních vod. Výsledkem tohoto procesu je produkt, který je velmi dobře použitelný v zemědělství jako přírodní hnojivo. V rámci této práce bude sestaven zjednodušený dynamický model sušení vrstvy kalu s jednou prostorovou souřadnicí. Tento model bude diskretizován pomocí vhodné numerické metody a bude provedena jeho implementace do výpočtového programu v prostředí MATLAB.

Tato práce se zabývá buněčným cyklem kvasinky Saccgaromyces cerevisiae. Oblastí našeho zájmu je přechod mezi G1 a S fází, kde je naším cílem identifikovat velikosti buňky v době počátku DNA replikace. Nejprve se věnujeme nedávno publikovanému matematickému modelu, který popisuje mechanismy vedoucí k S fázi. Práce poskytuje detailní popis tohoto modelu, stejně jako časový průběh některých důležitých proteinů či jejich sloučenin. Dále se zabýváme pravděpodobnostním modelem aktivace replikačních počátků DNA. Nově uvažujeme vliv šíření DNA replikace mezi sousedícími počátky a analyzujeme jeho důsledky. Poskytujeme také senzitivní analýzu kritické velikosti buňky vzhledem ke konstantám popisujícím dynamiku reakcí v modelu G1/S přechodu.