A Empirical Tire Model of Non-Steady State Cornering Properties Considering Carcass Elasticity

2000 ◽  
Author(s):  
Yongping Hou ◽  
Yujin Hu ◽  
Chenggang Li ◽  
Konghui Guo
Keyword(s):  
Steady State ◽  
High Precision ◽  
Test Data ◽  
Vehicle Dynamics ◽  
Low Frequency ◽  
Frequency Region ◽  
Tire Model ◽  
Yaw Angle ◽  
Tire Models

Abstract The purpose of this paper is to present two empirical tire models of non-steady state cornering property with respect to yaw angle input in low frequency region on the basis of existing tire model and considering the elasticity of the carcass. Verified by test, theoretical values meet well with test data. Comparing with existing tire models, the models described in the paper have more advantages, and they also have high precision. They can be applied for vehicle dynamics studies.

A Modified Dugoff Tire Model for Combined-slip Forces

2010 ◽  
Vol 38 (3) ◽  
pp. 228-244 ◽  
Author(s):  
Nenggen Ding ◽  
Saied Taheri
Keyword(s):  
Vehicle Dynamics ◽  
Tire Model ◽  
Magic Formula ◽  
Model Based ◽  
Proposed Model ◽  
Road Friction ◽  
On Line ◽  
Double Lane Change ◽  
Tire Forces ◽  
Tire Models

Abstract Easy-to-use tire models for vehicle dynamics have been persistently studied for such applications as control design and model-based on-line estimation. This paper proposes a modified combined-slip tire model based on Dugoff tire. The proposed model takes emphasis on less time consumption for calculation and uses a minimum set of parameters to express tire forces. Modification of Dugoff tire model is made on two aspects: one is taking different tire/road friction coefficients for different magnitudes of slip and the other is employing the concept of friction ellipse. The proposed model is evaluated by comparison with the LuGre tire model. Although there are some discrepancies between the two models, the proposed combined-slip model is generally acceptable due to its simplicity and easiness to use. Extracting parameters from the coefficients of a Magic Formula tire model based on measured tire data, the proposed model is further evaluated by conducting a double lane change maneuver, and simulation results show that the trajectory using the proposed tire model is closer to that using the Magic Formula tire model than Dugoff tire model.

Radial-Interradial Spring Tire Models

1988 ◽  
Vol 110 (1) ◽  
pp. 70-75 ◽  
Author(s):  
J. M. Badalamenti ◽  
G. R. Doyle
Keyword(s):  
Test Data ◽  
Close Agreement ◽  
Tire Model ◽  
Drag Forces ◽  
Tire Models

Two radial-interradial spring tire models are developed to predict vertical and drag forces produced by a tire as it rolls over an obstacle. Interradial springs are used to interconnect radial linear or quadratic springs to make each tire element’s deflection dependent upon its adjacent element’s deflections. Forces predicted by these two models are compared with a previously developed quadratic radial spring tire model and test data. The newly developed quadratic radial-linear interradial spring tire model predicts vertical and drag forces that are in close agreement with the test data.

Weighted Orthogonal Distance Regression for Tire Models Parameters Identification

2015 ◽  
Author(s):  
JoseLuis Olazagoitia ◽  
Alberto López
Keyword(s):  
Test Data ◽  
Measured Data ◽  
Model Parameters ◽  
Tire Model ◽  
Optimum Parameters ◽  
Ordinate Axis ◽  
Orthogonal Distance Regression ◽  
Independent Variable ◽  
Tire Models ◽  
Least Squares Techniques

Determining the parameters in existing tire models (e.g. Magic Formula (MF)) for calculating longitudinal and lateral forces depending on the tire slip is often based on standard least squares techniques. This type of optimization minimizes the vertical differences in the ordinate axis between the test data and the chosen tire model. Although the practice is to use this type of optimization in adjusting those model parameters, it should be noted that this approach disregards the errors that have been committed in the measurement of tire slips. These inaccuracies in the measured data affect the optimum parameters of the model, producing non optimum models. This paper presents a methodology to improve the fitting of mathematical tire models on available test data, taking into account the vertical errors together with errors in the independent variable.

scholarly journals An Advanced Shell Theory Based Tire Model

2005 ◽  
Vol 33 (4) ◽  
pp. 227-238 ◽  
Author(s):  
D. Bozdog ◽  
W. W. Olson
Keyword(s):  
Vehicle Dynamics ◽  
Shell Theory ◽  
Finite Difference Methods ◽  
Integrated Approach ◽  
Tire Model ◽  
Element Analysis ◽  
Friction Forces ◽  
Dynamic Analyses ◽  
Tire Models ◽  
Elastic Substance

Abstract The objective of this paper is to investigate a class of general tire models that provides results suitable for usage in vehicle dynamics. Tire models currently used for vehicle dynamic analyses are overly simplistic (springs, a spring and damper combination or semi-elastic substance) or based on curve fits of experimental data. In contrast, the tire models used by major tire companies are extremely complex with solutions possible only by finite element analysis. Between these two extremes exists the potential for an elasticity based shell theory tire model. Micro-mechanics and composite laminate theories provide an integrated approach to the macroscopic behavior of the tire carcass and the tread support plies. This methodology has the capability of including centrifugal and friction forces. Finite difference methods are applied that produce reliable and accurate solutions of the tire response.

An Iterative Approach for Steady State Handling Analysis of Vehicles

2008 ◽  
Author(s):  
Indrasen Karogal ◽  
Beshah Ayalew ◽  
E. Harry Law
Keyword(s):  
Steady State ◽  
Test Data ◽  
Lateral Force ◽  
Lateral Acceleration ◽  
Iterative Approach ◽  
Tire Model ◽  
Passenger Car ◽  
Lateral Forces ◽  
Simulation Results ◽  
Weight Transfer

In this paper, we present an iterative approach for analyzing the steady state handling behavior of a two-axled vehicle. This approach computes lateral forces iteratively from two separate submodels. The first submodel is an appropriate tire model that computes per wheel lateral forces as functions of slip angles, from formulations preferably expressed in a non-dimensional format. The second is a lateral weight transfer submodel that computes per-axle lateral force contributions for a given lateral acceleration. The combination then allows for the estimation of the required steer angles for the prevailing lateral acceleration. Subsequent corrections are then applied to take into account steer effects such as roll steer, lateral force compliance steer and aligning moment compliance steer. The usefulness of the approach is demonstrated by comparing simulation results with test data for a small passenger car.

scholarly journals Neural Network Identification of a Racing Car Tire Model

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Jianfeng Wang ◽  
Yiqun Liu ◽  
Liang Ding ◽  
Jun Li ◽  
Haibo Gao ◽  
...  
Keyword(s):  
Neural Network ◽  
High Precision ◽  
Degrees Of Freedom ◽  
Lateral Force ◽  
Dynamics Simulation ◽  
Force Model ◽  
Tire Model ◽  
Feed Forward Neural Network ◽  
Magic Formula ◽  
Tire Models

In order to meet the demands of small race car dynamics simulation, a new method of parameter identification in the Magic Formula tire model is presented in this work, based on an analysis of the Magic Formula tire model structure. A high-precision tire model used for vehicle dynamics simulation is established via this method. It is difficult for students to build a high-precision tire model because of the complexity of widely used tire models such as Magic Formula and UniTire. At a pure side slip condition, building a lateral force model is an example, which illustrate the utilization of a multilayer feed-forward neural network to build an intelligent tire model conveniently. In order to fully understand the difference between the two models, a two-degrees-of-freedom (2 DOF) vehicle model is established. The advantages, disadvantages, and applicable scope of the two tire models are discussed after comparing the simulation results of the 2 DOF model with the Magic Formula and intelligent tire model.

A Dynamic Tire Model for ABS Maneuver Simulations

2010 ◽  
Vol 38 (2) ◽  
pp. 137-154 ◽  
Author(s):  
Francesco Braghin ◽  
Edoardo Sabbioni
Keyword(s):  
Steady State ◽  
Order Differential Equation ◽  
Transient Behavior ◽  
Slip Angle ◽  
Tire Model ◽  
Relaxation Length ◽  
Steady State Condition ◽  
First Order ◽  
Significant Parameter ◽  
Tire Models

Abstract Due to the dimensions of the tire-road contact area, transients in a tire last approximately 0.1 s. Thus, in the case of abrupt maneuvers such as ABS braking, the use of a steady-state tire model to predict the vehicle’s behavior would lead to significant errors. Available dynamic tire models, such as Pacejka’s MF-Tire model, are based on steady-state formulations and the transient behavior of the tire is included by introducing a first order differential equation of relevant quantities such as the slip angle and the slippage. In these differential equations the most significant parameter used to describe the transient behavior is the so-called relaxation length, i.e., the distance traveled by the tire to settle to a new steady-state condition once perturbated. Usually this parameter is assumed to be constant.

Analysis of Tire Models for Rolling on a Deformable Substrate

2002 ◽  
Vol 30 (3) ◽  
pp. 180-197 ◽  
Author(s):  
S. Shoop ◽  
I. Darnell ◽  
K. Kestler
Keyword(s):  
Finite Element ◽  
Vehicle Dynamics ◽  
Three Dimensional ◽  
Element Model ◽  
Tire Model ◽  
Terrain Model ◽  
Vehicle Mobility ◽  
Conventional Models ◽  
Dynamics Simulations ◽  
Tire Models

Abstract The objective of this research is to produce a finite element model of tire-terrain interaction that can be used to explore the effects of tire and terrain variables on vehicle mobility and terrain deformation. Such a model would need to account for the deformable nature of both the tire and the terrain and be fully three-dimensional. Thus, it is important that the tire model be very efficient at rolling yet retain realistic surface contact and deformation related to contact. A promising methodology was developed by Darnell for efficiently modeling a tire for vehicle dynamics simulations. The performance of the Darnell model was examined with respect to measured tire deformation as well as to conventional models of the same tire. The Darnell tire model was then rolled across a soil simulating the sand used in off-road vehicle experiments. The combined tire-terrain model presented is fully operational, but optimization and validation are in progress.

A Double Interaction Brush Model for Snow Conditions

2019 ◽  
Vol 47 (2) ◽  
pp. 118-140
Author(s):  
Artem Kusachov ◽  
Fredrik Bruzelius ◽  
Mattias Hjort ◽  
Bengt J. H. Jacobson
Keyword(s):  
Low Complexity ◽  
Large Set ◽  
Tire Model ◽  
Vehicle Handling ◽  
Real Time Applications ◽  
Snow Conditions ◽  
Double Interaction ◽  
Tire Models ◽  
Force Characteristics ◽  
Model Approach

ABSTRACT Commonly used tire models for vehicle-handling simulations are derived from the assumption of a flat and solid surface. Snow surfaces are nonsolid and may move under the tire. This results in inaccurate tire models and simulation results that are too far from the true phenomena. This article describes a physically motivated tire model that takes the effect of snow shearing into account. The brush tire model approach is used to describe an additional interaction between the packed snow in tire tread pattern voids with the snow road surface. Fewer parameters and low complexity make it suitable for real-time applications. The presented model is compared with test track tire measurements from a large set of different tires. Results suggest higher accuracy compared with conventional tire models. Moreover, the model is also proven to be capable of correctly predicting the self-aligning torque given the force characteristics.

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