In-Plane Rigid Ring-Based Tire Model: Parameter Identification, Sensitivity Analyses, and Effect on Ride Comfort

Author(s):  
Bin Li ◽  
Ning Li ◽  
Xiaobo Yang ◽  
James Yang

The tire is the main interface between the vehicle and road, and all maneuvers controlled by a driver to road vehicle are achieved by the interaction force between tire and road. In modern vehicle design, tire modeling plays an important role in effectively assessing vehicle handling, ride comfort, and road load analysis. The long term goal of this research is to develop a three-dimensional robust tire model that can be used for road load durability simulation. This work is the first step to the long term goal. This paper presents a new simplified in-plane tire model based on a traditional rigid ring tire model. The interaction between the tire and road is assumed to be patch contact. Optimization technique is used to obtain all key tire parameters of the tire model by minimizing the vertical and horizontal contact forces between the model simulation results and road test data when a tire passes a road bump. After the parameters are identified, a full factorial design of experiments with three levels for each of 8 parameters (horizontal spring stiffness and damper coefficient, vertical spring stiffness and damper coefficient, rotational spring stiffness and damper coefficient between the rim and ring, ring radius, ring residual spring stiffness) is conducted for parameter sensitivity analysis. The three levels for each parameter except the ring radius are 50% increase, 50% decrease, and nominal values. Sensitivity analysis has shown that several parameters are critical to the peak value of the vertical and horizontal contact forces. A quarter-car model is then used to assess ride comfort of the vehicle suspension system. The quarter-car model with the proposed tire model can more accurately predict the ride comfort subject to random road inputs than the one with point contact tire model.

1997 ◽  
Vol 25 (3) ◽  
pp. 187-213 ◽  
Author(s):  
F. Mancosu ◽  
G. Matrascia ◽  
F. Cheli

Abstract A rigid ring model of the tire for the study of in-plane dynamics and a new technique for determining the parameters of the model are presented in this paper. This model can be used for studying the comfort of vehicles, problems of driving, and braking problems in the longitudinal direction. Comparison with finite element models shows that the rigid ring model of the tire is capable of describing the in-plane eigenmode shapes in the frequency range of 0–130 Hz. The well-known “brush model,” integrated into the tire model, is introduced to take into account the slide phenomena in the contact patch. The parameters of the model can be correlated with the physical properties of the tire so that designers can take advantage of such a correlation in the development of new tires in terms of time, cost, and performance. The technique used to determine the parameters of the model for some automobile tires include the direct measurements of some physical properties (mass, moment of inertia, stiffness) and a method of identification applied on the results from a dynamic test. The model is able to predict experimental data in terms of natural frequencies and relative dampings. Results from the application of this technique on two tires are reported.


Transport ◽  
2019 ◽  
Vol 34 (3) ◽  
pp. 193-203 ◽  
Author(s):  
Bohuš Leitner ◽  
Martin Decký ◽  
Matúš Kováč

One of the requirements concerning pavement quality is the evenness of its surface. Pavement unevenness has a random character and has an adverse influence to rolling resistance, tyre–pavement coherence, safety and the driving comfort. Knowledge of “longitudinal unevenness” has been long recognized as an important criteria of road performance, not only for safety by causing vehicle vibrations and affecting ride comfort but also as a major factor in pavement deterioration and working conditions of vehicles. The paper presents two original devices for the measurement of pavement longitudinal unevenness designed as a reaction to results and experiences gathered from a few years’ research activities, measurements and evaluations of road pavement evenness carried out in the authors' work place (University of Žilina – UNIZA). The first equipment has been designed as a single-wheel trailing vehicle and has been constructed on the Double-mass Measuring Set (DMS) principle and it is referred to as UNIZA single-wheel vehicle JP VSDS. The main reason for designing the device were authors’ findings that the reference quarter car model (used for calculation of International Roughness Index – IRI) can provide evaluation, which can be in contradiction with ride safety. This fact is determined by overvaluation of the short wavelengths and undervaluation the longer wavelengths by reference model. The second one is a profiler with very high resolution of surface scanning using mathematical models for unevenness evaluation. The device is referred to as Dynamic Road Scanner (DRS). The reason for designing of this equipment was in the first place insufficient repeatability of transversal unevenness measurements of device used by Slovak Road Administration, but for the purpose of correctness and measurements accuracy verifying were also results of longitudinal unevenness measurements compared. The paper presents results of evaluation by international established dynamic quantifiers of longitudinal unevenness based on measurements performed by these devices on three selected road sections in Slovakia. In the next part of the paper are compared IRI values obtained by mathematical calculations using reference quarter car model “driving” on road section profile measured by geodetic survey with IRI values obtained by conversion of the unevenness degree C (measured by UNIZA single-wheel vehicle JP VSDS) and IRI values measured by profilometer DRS.


Author(s):  
Avesta Goodarzi ◽  
Amir Jalali

Ride comfort is one of the most important criteria by which people judge the total quality of the car. Traditionally to investigate the vehicle ride comfort, some well-known classical lumped-mass models are used. In these models such as quarter car model, half car model and full vehicle model, body flexibility has been ignored and sprung mass (vehicle body) assumed to be rigid. This assumption can reduce the model accuracy, specially in the case of long vehicles such as vans, buses and trucks. To impose body flexibility in the ride analysis, recently some numerical FEM-based models have been introduced, but they are complex and non-parametric. In this paper the effects of body flexibility on the vehicle vibration behavior has been studied based on an analytical approach. For this purpose, a new simple and parametric lumped-mass 8 DOF model has been developed. Comparison of the results of natural frequency analysis and forced vibration analysis for this model with the corresponding results of so called “rigid model” or “classic model” is very informative. As the results are shown, body flexibility strongly influenced on the acceleration and displacement responses of the vehicle so that it is necessary to considering this term at the early stages of the vehicle design.


Author(s):  
H. Ansari Ardeh ◽  
M. Tupy ◽  
D. Negrut

This study outlines an approach for speeding up the simulation of the dynamic response of vehicle models that include hysteretic nonlinear tire components. The method proposed replaces the hysteretic nonlinear tire model with a surrogate model that emulates the dynamic response of the actual tire. The approach is demonstrated via a dynamic simulation of a quarter vehicle model. In the proposed methodology, training information generated with a reduced number of harmonic excitations is used to construct the tire hysteretic force emulator using a Neural Network (NN) element. The proposed approach has two stages: a learning stage, followed by an embedding of the learned model into the quarter car model. The learning related main challenge stems from the attempt to capture with the NN element the behavior of a hysteretic element whose response depends on its loading history. The methodology is demonstrated in conjunction with a simple nonlinear quarter vehicle system as well as an ADAMS based model that uses a complex tire element. The results obtained with the surrogate model prove to be accurate and are obtained at a fraction of the CPU time required to handle the original models. The approach proposed is anticipated to be useful for reducing the duration of vehicle simulations, or when a tire model is not available but experimental data can be used to generate a surrogate model.


Author(s):  
N.M. Ghazaly ◽  
A.S Ahmed ◽  
A.S Ali ◽  
G.T Abd El- Jaber

In recent years, the use of active control mechanisms in active suspension systems has attracted considerable attention. The main objective of this research is to develop a mathematical model of an active suspension system that is subjected to excitation from different road profiles and control it using H∞ technique for a quarter car model to improve the ride comfort and road handling. Comparison between passive and active suspension systems is performed using step, sinusoidal and random road profiles. The performance of the H∞ controller is compared with the passive suspension system. It is found that the car body acceleration, suspension deflection and tyre deflection using active suspension system with H∞ technique is better than the passive suspension system.


Author(s):  
Bin Li ◽  
Xiaobo Yang ◽  
Ankang Jin ◽  
Yunqing Zhang ◽  
James Yang

This paper presents the validation for the newly developed in-plane flexible ring tire model by using ADAMS FTire model simulation. The developed in-plane model is unique in two aspects: (1) the neighboring belt segments are connected through normal and tangential directions by springs and dampers, each belt segment is a rigid body and its mass is accumulated at its geometric center. Each belt segment is always perpendicular to the line formed by the wheel center and the belt geometric center, thus there is no rotational constrains between the neighboring belt segments; (2) the representation of the tangential friction force between the tire and the road is defined through the multiplication of the normal contact force and the friction coefficient. And the friction coefficient is obtained based on an empirical model of the tire slip. For validation, a quarter-car model first runs on a flat road with a constant velocity (40km/h) and then rides over a rectangular shape obstacle to identify the tire parameters based on the virtual tests of Gipser’s FTire model in ADAMS. Then the quarter-car model runs on a flat road with 4–5 different conditions to ride over each obstacle: rectangular shape, triangular shape, half circle, and trapezoid. Simulation results for the new in-plane flexible ring model are compared with virtual test results from ADAMS FTire model on the same road and velocity condition for the tire patch contact forces in horizontal and longitudinal directions respectively based on the SAE standard J2812. Note that this study is the first time that the new SAE standard J2812 is used for model validation. After the validation, two important aspects have been investigated: (1) What is the minimum height of each obstacle shape so that the parameter identification will have minimum equipment loads? (2) What should the minimum number of belt segments be for each obstacle shape? The above two aspects are useful for tire model end users and tire experimental experts in real world applications.


2019 ◽  
Vol 25 (12) ◽  
pp. 1866-1882 ◽  
Author(s):  
Devdutt Singh

In this paper, a four degrees of freedom biodynamic human body model is used for ride comfort analysis, which is coupled with a three degrees of freedom quarter car model. The random road profile is generated in a simulation environment using the ISO 8608:2016 standard. In order to suppress the adverse effects of road induced vibrations on the human body, a super-twisting sliding mode control (STSMC) and adaptive neuro-fuzzy inference system (ANFIS) based super-twisting sliding mode control (ASTSMC) strategy is used in the main suspension of the active quarter car model. The ride comfort response of the human body segments is compared for passive and active suspension systems using the ISO 2631-1:1997 standard. Based on the simulation results in time and frequency domain related to acceleration and displacement response for head and neck, upper torso, viscera and lower torso, it is shown that the ride comfort provided by the ASTSMC controller is much improved compared to the STSMC and passive control method. It can be finalized from the present research work that active suspension with the ASTSMC control strategy can successfully reduce the adverse effects of road induced vibrations on human body health and safety.


2017 ◽  
Vol 4 (2) ◽  
pp. 2425-2430 ◽  
Author(s):  
Trupti P. Phalke ◽  
Anirban C. Mitra

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