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Mathematical models of tires
Straka, Tomáš ; Porteš, Petr (referee) ; Zháňal, Lubor (advisor)
This master‘s thesis describes problematics of mathematical models of tires for computer simulations. The goal of this thesis is to depict currently used models of tires and to compare them. Thesis describes brush type models, Fiala, Magic Formula (Pacejka), FTire, UA-Gim, 521 and DELFT. Those models are compared to each other by simulations carried out in software MSC ADAMS Car. The results are shown in figures with commentary and evaluation. This thesis serves as introduction to problematics of currently used mathematical models of tire in computer simulations.
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Identification of tire model parameters
Olišar, Petr ; Zháňal, Lubor (referee) ; Porteš, Petr (advisor)
The main goal of this thesis is to obtain lateral parameters of the Magic Formula tire model of a tire commonly used in Formula Student competition. Both the author and the supervisor of the thesis know the tire name and its specification, but the research company that did the tire testing and provided me with the date prohibits sharing this of data publicly, so the tire designation is not mentioned in this thesis. The first chapter covers main theoretical facts related to a tire, briefly describes some of the tire models and shows possibilities how to determine tire characteristics that are used in a tire model. The thesis describes how to process raw tire data measured during a laboratory experiment using scripts created in Matlab software. The inputs variables are slip angle, lateral force, normal force and inclination angle. Raw data are splitted into parts, main coefficients of the Magic formula model (B, C, D, E, Sh, Sv) are calculated and subsequently the lateral parameters are obtained using least square method to fit parameters into the measured data. The works gives two main outcomes. The first output is a set of Matlab scripts that can be used to determine lateral parameters of any tire that has the same input data format as presented. A TIR file of the Formula Student tire in case of lateral slip is the second result of the work. This can be used for vehicle dynamics simulation of Formula Student racing car. The thesis also offers a comparison between parameters, which I calculated, and those gained thanks to Optimum Tire software by Calspan research company. Additionally the work shows the effect of load and inclination angle on lateral force.
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Mathematical models of tires
Straka, Tomáš ; Porteš, Petr (referee) ; Zháňal, Lubor (advisor)
This master‘s thesis describes problematics of mathematical models of tires for computer simulations. The goal of this thesis is to depict currently used models of tires and to compare them. Thesis describes brush type models, Fiala, Magic Formula (Pacejka), FTire, UA-Gim, 521 and DELFT. Those models are compared to each other by simulations carried out in software MSC ADAMS Car. The results are shown in figures with commentary and evaluation. This thesis serves as introduction to problematics of currently used mathematical models of tire in computer simulations.
|
|
|
Identification of tire model parameters
Olišar, Petr ; Zháňal, Lubor (referee) ; Porteš, Petr (advisor)
The main goal of this thesis is to obtain lateral parameters of the Magic Formula tire model of a tire commonly used in Formula Student competition. Both the author and the supervisor of the thesis know the tire name and its specification, but the research company that did the tire testing and provided me with the date prohibits sharing this of data publicly, so the tire designation is not mentioned in this thesis. The first chapter covers main theoretical facts related to a tire, briefly describes some of the tire models and shows possibilities how to determine tire characteristics that are used in a tire model. The thesis describes how to process raw tire data measured during a laboratory experiment using scripts created in Matlab software. The inputs variables are slip angle, lateral force, normal force and inclination angle. Raw data are splitted into parts, main coefficients of the Magic formula model (B, C, D, E, Sh, Sv) are calculated and subsequently the lateral parameters are obtained using least square method to fit parameters into the measured data. The works gives two main outcomes. The first output is a set of Matlab scripts that can be used to determine lateral parameters of any tire that has the same input data format as presented. A TIR file of the Formula Student tire in case of lateral slip is the second result of the work. This can be used for vehicle dynamics simulation of Formula Student racing car. The thesis also offers a comparison between parameters, which I calculated, and those gained thanks to Optimum Tire software by Calspan research company. Additionally the work shows the effect of load and inclination angle on lateral force.
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