ERRATA: Bifurcation Analysis of a Car Model Running on an Even Surface - A Fundamental Study for Addressing Automomous Vehicle Dynamics

Author(s):  
Giampiero Mastinu ◽  
Fabio Della Rossa ◽  
Massimiliano Gobbi ◽  
Giorgio Previati
Author(s):  
Xianbin Wang ◽  
Shuming Shi

The mechanism of vehicle dynamics steering bifurcation has almost been confirmed. But the present steering bifurcation mechanism cannot explain the bifurcation phenomena caused by the driving torque. As a result, the vehicle coupled bifurcation analysis of the steering angle and driving torque has not been studied. Based on the five degrees of freedom (5DOF) vehicle system dynamics model with driving torque involved, the vehicle dynamics equilibriums under different driving torque and driving mode were searched by a hybrid method in this paper. The hybrid method combined the real-coded Genetic Algorithm with Quasi-Newton gradient method. According to the definition of static bifurcation of nonlinear systems, the equilibrium bifurcation of 5DOF vehicle system was confirmed. Then, the 5DOF vehicle system model was transformed into autonomous equation with the front wheel steering angle as intermediate variable. From the two aspects of constant steering angle amplitude and constant driving torque, the bifurcation diagrams of different driving mode were calculated. The vehicle coupled bifurcation characteristics of steering angle and driving torque were analyzed. The results show that the values of the driving torque will directly affect the bifurcation characteristics of vehicle dynamics system. The coupled feature of the front wheel steering angle and driving torque effect on vehicle bifurcation is obvious.


Author(s):  
Long Wu ◽  
Lei Zuo

In vehicle dynamics researchers traditionally investigate the suspension performance based on a quarter car model and then reestablish a comprehensive model for the full car by considering additional degrees of freedom (DOF). Based on the derivation of the coupling ratios between the sprung mass of a full car and four sprung masses of quarter cars, the analysis of a full vehicle dynamics with fourteen DOFs in vertical and lateral directions is possible. The full car model can be expressed by four independent quarter car models. An analysis method will be investigated in order to provide a novel performance estimation for a full vehicle suspension. The case study shows that the vibrations of a full vehicle can be quantitatively obtained based on the test results of quarter suspensions.


2006 ◽  
Vol 2006 (0) ◽  
pp. _533-1_-_533-6_ ◽  
Author(s):  
Chiori ASADA ◽  
Masanori OHORI ◽  
Takahumi FUJITA ◽  
Takayoshi KAMADA ◽  
Nobuo MASAKI

Author(s):  
Jared Darius ◽  
Hector Medina

Abstract We present a bond graph analysis of a three-damper suspension system in a transverse half-car model. This is compared against the conventional two-damper system used in most commercial and racing vehicles. The transverse third damper system pioneered by the Koenigsegg Triplex suspension system is an innovative design said to improve straight-line tire contact during single-sided disturbance and help mitigate the adverse effects of squat and dive, while not inhibiting the function of the anti-roll bar’s lateral load transfer in cornering capability. No published literature exists exploring a transverse half-car model with effects of a third damper. We focused specifically on mathematical modeling of energy element relationships exploring vehicle dynamics frequency response behavior compared between transverse half-car models with and without the third damper. Calculated transfer functions explore first-order time derivative relationships of wheel-mass velocity to the harmonic input velocity of the road surface. The mathematical model demonstrated some ranges of resonance within typical driving and racing frequencies. Implementing the model to a Formula SAE race car, we explored the effects of manipulating spring stiffness, anti-roll bar stiffness, damping ratio, and mass in both two- and three-damper systems. Ultimately, it was observed that the addition of the third damper resulted in objective improvements in vehicle dynamics, shown by a reduction in amplitude ratio of both the left and right wheels compared to a conventional system. Interestingly, the left wheel (input side) experienced a greater reduction in amplitude ratio when it was hypothesized that the right wheel would be more affected.


Author(s):  
Yuzhe Chen ◽  
Bonan Qin ◽  
Sijing Guo ◽  
Liangyao Yu ◽  
Lei Zuo

Abstract This paper introduces a new form of energy-harvesting suspension that is integrated in a hydraulically interconnected suspension (HIS) system. The combined energy-harvesting and hydraulic interconnection features provide improved energy efficiency and vehicle dynamics performance. A half car model and a full car model are developed to validate the effectiveness of this design. Different dynamic input scenarios are used for model simulation, which includes single-wheel sinusoidal input, two-wheel sinusoidal input and double lane change test. The system performs better than a conventional suspension system in rolling dynamics in the cases of the single-wheel road input and double lane change test. The heaving dynamics is dependent on the frequency of the road input. The energy harvesting can generate up to 421 w at 4 Hz and 40 mm (peak to peak) road input.


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