Investigate the Relationship between the Vehicle Roll Angle and Other Factors When Steering

Abstract

Rollover is a dangerous phenomenon. It is closely related to the vehicle roll angle. The greater the roll angle, the greater the risk of rollover. The vehicle roll angle when steering depends on many factors, such as the size of the vehicle, speed of movement, steering angle, etc. In this paper, the author has simulated the oscillation of a car when steering using MATLAB® software with three specific cases. The purpose of the study is to evaluate the dependence of the roll angle on other factors. Each case handles two scenarios: vehicle speed change (fixed height) and vehicle height change (fixed speed). The model of a complex dynamic, a combination of many nonlinear components, is used to simulate vehicle oscillations. According to the study’s results, the roll angle will increase if the speed or the distance from the center of gravity (CG) to roll axis (RA) increases, respectively. Once the roll angle’s value rises, the roll index also increases, which causes the dynamic force at the wheel to decrease. If the vertical force at the wheel approaches zero, a rollover may occur. The rollover phenomenon occurred in the second case, corresponding to speeds v = 80 (km/h) and v = 85 (km/h). The peak values of the roll angle are 7.77° and 7.63°, respectively. This result helps to identify the factors affecting the rollover phenomenon more clearly.

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“…This is mentioned in Ref. 6 by Imine, and Nguyen and Nguyen 7 also demonstrate it. In Ref., 8 Azman et al mention the effect of anti-squat geometry in pitch dynamics with the 6 degrees of freedom (DOFs) model.…”

“…The calculation process can be seen in Refs. 7,57 Although the Pacejka tyre model is nonlinear, it is only suitable for steady states. Assume that the vehicle travels at a steady speed (not too high) and that the lateral acceleration is low.…”

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“…The linking Eqs from ( 6) to (10) help determine the unknowns in Eqs from (3) to (5). Some more detailed explanations should be consulted in [56,57].…”

“…The moments and forces of wheels are calculated based on tire models. In this study, the author uses the Pacejka tire model to determine the values of F x , F y , and M z [56]. The symbols for Eqs (12), (13), and ( 14) should be referred to in [56].…”

“…The vehicle rollover oscillations are described through a spatial dynamics model with 7 DOFs (Fig 2). Applying D'Alembert's principle, Eqs from ( 16) to (19) describe the car's PLOS ONE rollover oscillation (see in [56]). PLOS ONE…”