![Pacejka Pacejka](/uploads/1/2/5/5/125580081/662302722.jpg)
The Pacejka / Magic Formula (MF) equations were conceived to fit the data gathered from experimental tests with real tires. The equations can then predict the behavior of each specific real tire with great precision. Real Pacejka/MF data sets are heavily protected intellectual property of the tire manufacturers.
However, when used in video games where gameplay is important, the Pacejka curves can be fine tuned in a variety of ways in order to achieve the desired result. This guide explains how each parameter of the Pacejka ’94 specification affects the resulting curve, as well as the typical range for the values. Longitudinal Force Pacejka ’94 Longitudinal Force parameters: Parameter Role Units Typical range Sample b0 Shape factor 1.4. 1.8 1.5 b1 Load influence on longitudinal friction coefficient (.1000) 1/kN -80. +80 0 b2 Longitudinal friction coefficient (.1000) 900. 1700 1100 b3 Curvature factor of stiffness/load N/%/kN^2 -20.
The tyre models selected for this study are; the Magic Formula Tyre model of Pacejka, the TMeasy tyre model of Rill and Hirschberg, the TreadSim tyre model originally developed by Pacejka and extended by researchers of Eindhoven University of Technology and finally the dynamic tyre friction model of Deur based on the LuGre friction model.
+20 0 b4 Change of stiffness with slip N/% 100. 500 300 b5 Change of progressivity of stiffness/load 1/kN -1. +1 0 b6 Curvature change with load^2 -0.1. +0.1 0 b7 Curvature change with load -1. +1 0 b8 Curvature factor -20. +1 -2 b9 Load influence on horizontal shift%/kN -1.
+1 0 b10 Horizontal shift% -5. +5 0 b11 Vertical shift N -100. +100 0 b12 Vertical shift at load = 0 N -10.
+10 0 b13 Curvature shift -1.
Purohit, Vasudev and Utkarsh,. And Pai, Dayananda (2017) Pacejka magic formula parameter estimation through genetic algorithm. In: International Conference on Research in Mechanical Engineering Sciences, MIT, Manipal.
PDF 1057.pdf - Published Version Restricted to Registered users only Abstract The purpose of this study is to create a tire model using Pacejka Magic Formula. Tire is the fundamental component to determine vehicle dynamics and handling of the car.
Improving vehicle performance keeping in mind the lateral and longitudinal dynamics can be done with the help of tire properties. The concept of understeer and oversteer are based on tire properties. Tire modeling is important to understand the longitudinal and lateral dynamics of a tire. Hence in this study, data from an actual tire stimulation was used to understand the tire behavior which will be used for suspension tuning to obtain the maximum output out of the tire. In this report the four coefficients pertaining to the Pacejka Magic Formula have been estimated for the Hoosier 18.0x6.0-10 tires at a given pressure, inclination angle and the load conditions given in the data. To find the parameters, the fitness function is optimized by iterating it with the raw data using the optimization techniques available in the MATLAB optimization toolbar.
Here, the genetic algorithm has been used to optimize the fitness function. Item Type: Conference or Workshop Item (Paper) Uncontrolled Keywords: FSAE, Pacejka Tire modeling, Genetic algorithm, MATLAB Subjects: Depositing User: MIT Library Date Deposited: 05 Feb 2018 10:58 Last Modified: 05 Feb 2018 10:58 URI: Actions (login required) View Item.