Construction of a Rational Tire Model for High Fidelity Vehicle Dynamics Simulation Under Extreme Driving and Environmental Conditions

Author(s):  
S. C¸ag˘lar Bas¸lamıs¸lı ◽  
Selim Solmaz

In this paper, a control oriented rational tire model is developed and incorporated in a two-track vehicle dynamics model for the prospective design of vehicle dynamics controllers. The tire model proposed in this paper is an enhancement over previous rational models which have taken into account only the peaking and saturation behavior disregarding all other force generation characteristics. Simulation results have been conducted to compare the dynamics of a vehicle model equipped with a Magic Formula tire model, a rational tire model available in the literature and the present rational tire model. It has been observed that the proposed tire model results in vehicle responses that closely follow those obtained with the Magic Formula even for extreme driving scenarios conducted on roads with low adhesion coefficient.


Author(s):  
Shinhoon Kim ◽  
Nasser L. Azad ◽  
John McPhee

The development and validation of a high-fidelity dynamics model of an electric vehicle is presented. The developed model is comprised of two subsystems: i) the vehicle dynamics model, and ii) the electrical powertrain subsystem consists of the alternating-current (AC) induction motor, the 3-phase pulse-width-modulation (PWM) inverter, and the motor controllers. At each stage of the development, the developed models are verified by studying their simulation results. Also, vehicle testing is performed using a reference electric vehicle and experimental powertrain data is measured from the vehicle’s electrical powertrain controller area network (CAN) bus. The experimental motor torque-speed curves are used to tune the AC electric motor model parameters. Once the individual components are developed and validated, the high-fidelity electric vehicle system model is created by assembling the MapleSim vehicle dynamics model and the electrical powertrain subsystem. The simulation results, such as the vehicle’s longitudinal speed and developed motor torque and currents, are presented and studied to verify that the electric vehicle system can operate under different driving scenarios. The high-fidelity electric vehicle model will be used in future work to test and validate new power management controllers.



2010 ◽  
Vol 38 (3) ◽  
pp. 228-244 ◽  
Author(s):  
Nenggen Ding ◽  
Saied Taheri

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.



Author(s):  
Sina Milani ◽  
Hormoz Marzbani ◽  
Ali Khazaei ◽  
Milan Simic ◽  
Reza N. Jazar


2013 ◽  
Vol 380-384 ◽  
pp. 1746-1749
Author(s):  
Jun Zhan ◽  
Jiang Li Lu ◽  
Liang Xu ◽  
Wei Zhang

At present, the performance of the vehicle dynamics model is mainly evaluated objectively through offline simulation. In this paper, a vehicle dynamics model was implemented in dSPACE, which was applied to the Automotive Performance Simulator and the preliminary study was made for the realization of the subjective evaluation of the performance of vehicle dynamics model through the real-time closed-loop online simulation. The dSPACE interface library was used to write a Clib program to operate and control the Carsim RT model running on the dSPACE platform, which realized the communication between the external hardware and the real-time hardware of dSPACE.



2021 ◽  
Author(s):  
Junning Zhang ◽  
Shaopu YANG ◽  
Yongjie LU

Abstract In the study of vehicle dynamics, the accurate description of tire mechanical characteristics is the basis and key of vehicle dynamics simulation. An innovative tire model is proposed based on fuzzy algorithm and a sinusoidal membership function is used to design fuzzy rules. In order to ensure the accuracy of tire behavior calculation, this model is driven by a small amount of experimental data of tire mechanical characteristics. This tire model consists of four layers of fuzzy systems, each of which has a knowledge base. The data in knowledge base I is obtained by experiments, and the data of knowledge base II is computed by the upper system, and so is the later system. Then, the input signal, the change rate of side slip angle and slip rate, is considered to improve the calculation accuracy of the model. The proposed fuzzy tire model can accurately predict the longitudinal force, lateral force and self-aligning torque of the tire under unknown conditions. Finally, by comparing the fuzzy tire model with the experimental data, it is found that the maximum RRMSE (Relative Root Mean Square Error) value is not more than 0.14. It is proved that the model can accurately describe the tire
mechanical characteristics under combined conditions.



Author(s):  
Isao Kuwayama ◽  
Fernando Baldoni ◽  
Federico Cheli

The accuracy of the recent vehicle dynamics simulation technology, represented by Multi-Body Simulations along with reliable tire models, has been remarkably progressing and provides reasonable simulation results not only for conventional passive vehicles but also for advanced active vehicles equipped with electronic components; however, when it comes to advanced vehicle applications with complex active systems, the complexity causes a longer simulation time. On the other hand, even though simple numerical vehicle simulation models such as single-track, two-track and a dozen degrees of freedom (dofs) models can provide less information than those of multi-body models, they are still appreciated by specific applications particularly the ones related to the development of active systems. The advantages of these numerical simulation models lie in the simulation platform, namely the Matlab/Simulink environment, which is suitable for modeling electronic components. In this paper, an 18 dofs vehicle model has been proposed for the development of a type of active suspension named Variable Camber which has an additional degree of freedom in camber angle direction and a description of the models and some preliminary results are reported: the control strategy for the variable camber suspension will be published ([3]). The model can reproduce a passive vehicle with a passive suspension as well; all the necessary dimensions, parameters, and physical properties are derived from a specific multi-body full vehicle model which has been fully validated with respect to a real one on the track. As for a tire model, Magic Formula 5.2 has been implemented on both the numerical and the multi-body vehicle models respectively so that the same tire model can be applied.



2010 ◽  
Vol 29-32 ◽  
pp. 750-755
Author(s):  
Shu Feng Wang ◽  
Hua Shi Li ◽  
Cui Hua He

In order to obtain accurate vehicle handling stability performance, 2 DOF nonlinear vehicle model and multi-body dynamics vehicle model are established. Selecting the same vehicle parameters, step steering angle input simulations of three vehicle model (include 2DOF linear vehicle model) are carried out under the same driving conditions, simulation results are analyzed and compared. The simulation results show that 2DOF linear model can characterize the steering states of vehicle when vehicle lateral acceleration is small, but when vehicle lateral acceleration is big, Nonlinear vehicle model and multi-body dynamics model is accurate.



2014 ◽  
Vol 554 ◽  
pp. 489-493
Author(s):  
Ahmad Fauzi ◽  
Saiful Amri Mazlan ◽  
Hairi Zamzuri

This manuscript provides modeling and validation of a quarter car vehicle model to study the wheel dynamics behavior in longitudinal direction. The model is consists of a longitudinal slip model subsystem, a quarter body dynamic and tire subsystems. The quarter vehicle model was then validated using an instrumented experimental vehicle based on the driver input from brake and throttle pedals. Vehicle transient handling dynamic tests known as sudden braking test was performed for the purpose of validation. Several behaviors of the vehicle dynamics were observed during braking maneuvers such as body longitudinal velocity, wheel linear velocity and tire longitudinal slip at a quarter of the vehicle. Comparisons of the experimental results and model responses with sudden braking imposed motions were made. Consequently, the trends between simulation results and experimental data were found almost similar with an acceptable level of error for the application at hand.



2013 ◽  
Vol 312 ◽  
pp. 167-171 ◽  
Author(s):  
Peng Zhang ◽  
Li Xin Cui ◽  
Le He ◽  
Qun Sheng Xia

The tire dynamics simulation was done for the different speeds on the dry and wet roads with Magic Formula tire model. The coefficients of Magic Formula tire model under different conditions were obtained by means of the tire test data based on the nonlinear least squares method. The Magic Formula has a good ability to fit the test data for the longitudinal, lateral force and align moment. The tire dynamics simulation results show that at 30mph the wet tire peak longitudinal and lateral forces are only slightly less than the dry peak forces. The wet tire peak longitudinal and lateral forces decreases as the tire speed increases. This shows that the speed has a larger impact on the tire force. The align moment is relatively small. So it can be ignored in the vehicle dynamics analysis.



Author(s):  
Mansour Ataei ◽  
Chen Tang ◽  
Amir Khajepour ◽  
Soo Jeon

A suspension system with the capability of cambering has an additional degree of freedom for changing camber angle to increase the maximum lateral tire force. This study investigates the effects of cambering on overall vehicle stability with emphasis on applications to urban vehicles. A full vehicle model with a reliable tire model including camber effects is employed to investigate the vehicle dynamics behavior under cambering. Besides, a linearized vehicle model is used to analytically study the effects of camber lateral forces on vehicle dynamics. Vehicle behavior for different configurations of camber angles in front and rear wheels is studied and compared. Then, an active camber system is suggested for improvement of vehicle lateral stability. Specifically, performances of active front camber, active rear camber, and their combination are investigated. The results show that a proper strategy for camber control can improve both yaw rate and sideslip angle, simultaneously. Finally, the active front camber system is compared with the well-known active front steering. It is shown that, utilizing more friction forces at the limits, active front camber is more effective in improving maneuverability and lateral stability than active front steering.



Sign in / Sign up

Export Citation Format

Share Document