Determine the dynamic rollover threshold and roll safety thresholds of tractor semi-trailer vehicles when turning maneuver based on the yaw rate parameters: A simulation approach
Restricted accessResearch articleFirst published online December, 2025
Determine the dynamic rollover threshold and roll safety thresholds of tractor semi-trailer vehicles when turning maneuver based on the yaw rate parameters: A simulation approach
The article aims to evaluate the dynamic rollover threshold and roll safety threshold of a tractor semi-trailer vehicle when turning maneuver, based on the vehicle body’s yaw rate parameters. A full dynamics model with the Burckhardt tire model is presented, using the Multibody System method and the Newton-Euler equation system. The model is used to simulate and investigate the motion state of a tractor semi-trailer vehicle when turning maneuver on dry asphalt roads. The survey results show the stability zone and rollover zone for initial velocities ranging from 40 to 80 km/h and the magnitude of steering wheel angles ranging from 12.5 to 300 deg. Using the proposed load transfer ratio, rollover and roll safety zones have been established. The Dynamic Rollover Threshold (DRT) and Roll Safety Thresholds (RSTs) based on the yaw rate parameter are presented. This article demonstrates that vehicle speed and steering wheel angle are key factors that affect the yaw rate dynamic rollover threshold and yaw rate roll safety thresholds of a tractor semi-trailer vehicle. At a speed of 70 km/h, the Dynamic Rollover Threshold based on the yaw rate parameter (YDRT) for tractor and semi-trailer is 13.932 and 13.116 deg/s, respectively. When selecting Proposed Load Transfer Ratio (LTRprop) = 0.8, Roll Safety Threshold based on the Yaw rate parameter (YRST) are 11.286 and 11.028 deg/s for the tractor and semi-trailer, respectively. LTRprop = 0.7, the YRST are 10.176 and 10.058 deg/s for the tractor and semi-trailer, respectively. The results of this study can serve as a basis for designing early warning and anti-roll control systems of tractor semi-trailer when turning maneuver.
MustafaAEMüminTEBasarO.Lateral stability control of articulated heavy vehicles based on active steering system. Int J Mech Eng Rob Res2022; 11(8): 575–582.
2.
YannaYHuiyingWLuS, et al. Study on the influence of road geometry on vehicle lateral instability. J Adv Transp2020; 2020: 7943739.
XiujianYJuntaoSJinG.Fuzzy logic based control of the lateral stability of tractor semi-trailer vehicle. Math Probl Eng2015; 2015: 692912.
5.
JinZLiJWangH, et al. Rollover prevention and motion planning for an intelligent heavy truck. Chin J Mech Eng2021; 34: 87.
6.
ChenMZhouLChooS, et al. Analysis of risk factors affecting urban truck traffic accident severity in Korea. Sustainability2022; 14(5): 2901.
7.
TrigellASRothhämelMPauwelussenJ, et al. Advanced vehicle dynamics of heavy trucks with the perspective of road safety. Veh Syst Dyn2017; 55(10): 1572–1617.
SaeediMAKazemiRAzadiS.Liquid sloshing effect analysis on lateral dynamics of an articulated vehicle carrying liquid for various filled volumes. IJE Trans B Appl2015; 28(11): 1671–1679.
13.
SaeediMAKazemiRAzadiS.Analysis of roll control system to eliminate liquid sloshing effect on lateral stability of an articulated vehicle carrying liquid. IJE Trans C Aspects2016; 29(3): 386–393.
ChokorATaljRCharara, et al. Rollover prevention using active suspension system. In: 20th IEEE international conference on intelligent transportation systems (ITSC 2017), Yokohama, Japan, October 2017, pp.1706–1711. New York: IEEE.
16.
TanVVSenameOGáspárP.Improving roll stability of tractor semi-trailer vehicles by using H∞ active anti-roll bar control system. Proc IMechE, Part D: J Automobile Engineering2021; 235(14): 3509–3520.
17.
BuiDTSenameOVuVT. Designing an active anti-roll bar control system for a semi-trailer. In: ConteGSenameO (eds) Proceedings of 10th international conference on mechatronics and control engineering. ICMCE 2021. Lecture Notes in Mechanical Engineering. Singapore: Springer, pp.173–183.
18.
StoneEJCebonD.Control of semi-active anti-roll systems on heavy vehicles. Veh Syst Dyn2010; 48(10): 1215–1243.
19.
XuXZhangLJiangY, et al. Active control on path following and lateral stability for truck–trailer combinations. Arab J Sci Eng2019; 44: 1365–1377.
20.
ZhanshengSLongWYunmengL, et al. Actively steering a wheeled tractor against potential rollover using a sliding-mode control algorithm: scaled physical test. Biosyst Eng2022; 213: 13–29.
21.
HuangKXiaWShaoK, et al. Adaptive sliding mode control for vehicle active anti-roll system based on property adjustable barrier function. IEEE Trans Intell Veh. Epub ahead of print 21August2024. DOI: 10.1109/TIV.2024.3446874.
22.
ImineHDolcemascoloV.Rollover risk prediction of heavy vehicle in interaction with infrastructure. Int J Heavy Veh Syst2007; 14(3): 294–307.
23.
DahlbergEStenssonA.The dynamic rollover threshold-a heavy truck sensitivity study. Int J Veh Des2006; 40(1/2/3): 228–250.
24.
HungTT.Simulation approach to determine dynamic rollover threshold of a tractor semi-trailer vehicle during turning maneuvers. J Vib Eng Technol. Epub ahead of print 16May2024. DOI: 10.1007/s42417-024-01402-3.
25.
DongXJiangYZhongZ, et al. Rollover threshold investigation of a heavy-duty vehicle during cornering based on multi-body dynamics. Adv Mech Eng2018; 10(7): 1687814018789505.
26.
YeZXieWYinY, et al. Dynamic rollover prediction of heavy vehicles considering critical frequency. Automot Innov2020; 3: 158–168.
27.
JinZLiJHuangY, et al. Study on rollover index and stability for a triaxle bus. Chin J Mech Eng2019; 32: 64.
28.
TaTHVoVHDuongNK. Study on the dynamic rollover indicators of tractor semi-trailer vehicle while turning maneuvers based on multibody system dynamics analysis and Newton-Euler equations. In: Proceedings of the international conference on advanced mechanical engineering, automation, and sustainable development 2021 (AMAS2021). Lecture Notes in Mechanical Engineering. Cham: Springer, pp.30–38.
29.
MiegeAJPCebonD. Optimal roll control of an articulated vehicle: theory and model validation. Veh Syst Dyn2005; 43(12): 867–884.
30.
SampsonDJMCebonD. Achievable roll stability of heavy road vehicles. Proc IMechE, Part D: J Automobile Engineering2003; 217(4): 269–287.
31.
TungNTVanLV.The effect of velocity on the ability to rollover of the tractor semi-trailer when turning. Eng Solid Mech2023; 11: 427–436.
32.
LundahlKLeeCFFriskE, et al. Analyzing rollover indices for critical truck maneuvers. SAE Int J Commer Veh2015; 8(1): 189–196.
33.
KamnikRBoettigerFHuntK.Roll dynamics and lateral load transfer estimation in articulated heavy freight vehicles. Proc IMechE, Part D: J Automobile Engineering2003; 217(11): 985–997.
34.
KazemianAHFooladiMDarijaniH.Rollover index for the diagnosis of tripped and untripped rollovers. Lat Am J Solids Struct2017; 14(11): 1979–1999.
35.
PeijunL.Analysis, detection and early warning control of dynamic rollover of heavy freight vehicles. PhD Thesis, Concordia University, Canada, 1999.
36.
ImineHDjemaiM.Switched control for reducing impact of vertical forces on road and heavy vehicle rollover avoidance. IEEE Trans Veh Technol2016; 65(6): 4044–4052.
FancherPSErvinRDWinklerCB, et al. A factbook of the mechanical properties of the components for single-unit and articulated heavy trucks. Technical report UMTRI-86-12, University of Michigan Transportation Research Institute, Ann Arbor, MI, USA, 1986.
39.
BlundellMHartyD.Multibody systems approach to vehicle dynamics. 2nd ed.Oxford: Butterworth-Heinemann, 2014.
40.
IkhsanNSaifizulARamliR.The effect of vehicle and road conditions on rollover of commercial heavy vehicles during cornering: a simulation approach. Sustainability2021; 13: 6337.
41.
CebonD.Handbook of vehicle-road interaction. London: Taylor & Francis, 1999.
42.
ShahramMCesarTSoheilN, et al. Impact of pavement roughness and suspension systems on vehicle dynamic loads on flexible pavements. Transp Eng2021; 3: 100045.
43.
JingPTieWTiantianY, et al. Research on the aerodynamic characteristics of tractor-trailers with a parametric cab design. Appl Sci2018; 8(5): 791.
44.
ZhangZLiJGuoW.Combined simulation of heavy truck stability under sudden and discontinuous direction change of crosswind with computational fluid dynamics and multi-body system vehicle dynamics software. Adv Mech Eng2018; 10(7): 1687814018786364.
45.
HungTTKhanhDNHuongVV.Study on effects of road conditions on the lateral instability of tractor semi-trailer vehicle during turning maneuver. JST Eng Technol Sustain Dev2022; 32(2): 74–80.
46.
SoltaniAAssadianF.New slip control system considering actuator dynamics. SAE Int J Passeng Cars Mech Syst2015; 8(2): 512–520.
47.
GuanHWangBLuP, et al. Identification of maximum road friction coefficient and optimal slip ratio based on road type recognition. Chin J Mech Eng2014; 27: 1018–1026.
48.
ShinDWooSParkM.Rollover index for rollover mitigation function of intelligent commercial vehicle’s electronic stability control. Electronics2021; 10: 1–9.
49.
SahinHAkalinO.Articulated vehicle lateral stability management via active rear-wheel steering of tractor using fuzzy logic and model predictive control. SAE Int J Commer Veh2020; 13(2): 115–128.
50.
FanLLiGYChenR.Speed calculation model and simulation of rollover prevention in condition of extreme turn based on lateral force coefficient. Trans Chin Soc Agric Eng2016; 32(3): 41–47.
51.
BarickmanFSElsasserDAlbrechtH, et al. Tractor semi-trailer stability objective performance test research-roll stability. NHTSA technical report DOT HS 811 467, National Highway Traffic Safety Administration, Washington, DC, USA, 2011.
