Abstract
Purpose
Rollover of a semi-trailer vehicle is a common type of instability that can occur when turning at high speeds on roads with high adhesion coefficients, or when colliding with other vehicles. In order to design effective early warning and anti-roll control systems, it is important to accurately determine the rollover thresholds. This research aims to determine the dynamic rollover thresholds of a tractor semi-trailer vehicle during turning maneuvers based on a dynamic model.
Methods
A full dynamic model of a semi-trailer vehicle with 48 degrees of freedom has been established using the Multibody Dynamic analysis method and Newton Euler equations. The non-linear tire model is used to determine tire-road interaction forces when affected by tire-road deformation, adhesion coefficient of road, road wheel angle, and vehicle velocity. To validate the accuracy of the model, experiments were conducted on a road with a radius of 40 m. The verified model was then used to investigate the vehicle’s dynamics during turning maneuvers at velocities ranging from 40 to 80 km/h and the magnitude of steering wheel angles ranging from 12.5 to 300 deg.
Results
The results show the combined impact of the magnitude of the steering wheel angle and initial velocity on the rollover condition of the tractor semi-trailer vehicle. The 3D maps and table of maximum values for load transfer ratio and lateral acceleration of the vehicle bodies reveal the regions of roll stability and rollover. The dynamic rollover instability threshold for the tractor ranges from 4.382 to 4.838 m/s2, while that of the semi-trailer ranges from 4.022 to 4.433 m/s2.
Conclusions
The article presents a method for determining the dynamic rollover threshold of tractor semi-trailer vehicles based on a full dynamic model. The dynamics rollover thresholds are the boundaries that separate the rollover region from the stability region of the lateral acceleration of the tractor and semi-trailer bodies. The research findings in this article serve as a basis for determining input parameters for early warning and anti-rollover control systems in tractor semi-trailer vehicles. These results will be further discussed in the next articles.
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Abbreviations
- DVRES:
-
Drive vehicle road environment system
- LTR:
-
Load Transfer Ratio of the whole vehicle
- LTRi :
-
Load Transfer Ratio of the axle i
- RSF:
-
Roll Safety Factor
- DRT:
-
Dynamic rollover threshold
- RRI:
-
Rollover Risk Indicator
- SWA:
-
Steering wheel angle
- PRS:
-
Preventing rollover systems
- SRT:
-
Static rollover threshold
- SMC:
-
Sliding mode control
- TTC:
-
Truck-Trailer Combination
- DOFs:
-
Degrees of freedom
- CS:
-
Coordinate system
- CoG:
-
Center of gravity
- RSM:
-
Ramp Steer Maneuver
References
Hung TT, Khanh DN, Huong VV (2022) Study on effects of road conditions on the lateral instability of tractor semi-trailer vehicle during turning maneuver. JST Eng Technol Sustain Dev 32(2):074–080. https://doi.org/10.51316/jst.157.etsd.2022.32.2.10
Fancher PS, Ervin RD, Winkler CB, Gillespie TD (1986) 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, Michigan, USA. https://deepblue.lib.umich.edu/handle/2027.42/118
Guixian Q, Yulong H, Xiaoduan S, Jingjing T (2018) Modeling of lateral stability of tractor-semi-trailer on combined alignments of freeway. Discret Dyn Nat Soc 2018:001–017. https://doi.org/10.1155/2018/8438921
Li P, He J (2016) Geometric design safety estimation based on tire-road side friction. Transport Res Part C: Emerg Technol 63:114–125. https://doi.org/10.1016/j.trc.2015.12.009
Ikhsan N, Saifizul A, Ramli R (2021) The effect of vehicle and road conditions on rollover of commercial heavy vehicles during cornering: a simulation approach. Sustainability 13:6337. https://doi.org/10.3390/su13116337
Jin LQ, Chuan XS (2011) A Parameterized Simulation Model for Multi-Axle Vehicle. Adv Mater Res 186:170–175. https://doi.org/10.4028/www.scientific.net/amr.186.170
Adam B, Bengt J, Simone S (2022) High speed driving stability of road vehicles under crosswinds: an aerodynamic and vehicle dynamic parametric sensitivity analysis. Veh Syst Dyn 60(7):2334–2357. https://doi.org/10.1080/00423114.2021.1903516
Shen YH, Gao Y, Xu T (2016) Multi-axle vehicle dynamics stability control algorithm with all independent drive wheel. Int J Automot Technol 17:795–805. https://doi.org/10.1007/s12239-016-0078-x
Zhang Y, Khajepour A, Huang Y (2018) Multi-axle/articulated bus dynamics modeling: a reconfigurable approach. Vehicle Syst Dyn. https://doi.org/10.1080/00423114.2017.1420205
Chondros TG, Michalos G, Michaelides P, Fainekos E (2007) An approximate method for the evaluation of the roll stiffness of road tankers. Proc Inst Mech Eng Part D J Autom Eng 221(12):1499–1512. https://doi.org/10.1243/09544070JAUTO446
Papadogiannis AS, Farmakopoulos AG, Chondros TG (2009) Road-tankers axles load share design. Int J Heavy Veh Syst 17(3/4):256–275. https://doi.org/10.1504/IJHVS.2010.03599
Tung NT, Van LV (2023) The effect of velocity on the ability to rollover of the tractor semi-trailer when turning. Eng Solid Mech 11:427–436. https://doi.org/10.5267/j.esm.2023.5.001
ISO/TC 22/SC 33, ISO 16333 (2011) Road vehicles—heavy commercial vehicle combinations and articulated buses—steady-state rollover threshold—tilt-table test method
Kamnik R, Boettiger F, Hunt K (2003) Roll dynamics and lateral load transfer estimation in articulated heavy freight vehicles. Proc Inst Mech Eng Part D J Autom Eng 217(11):985–997. https://doi.org/10.1243/095440703770383884
Imine H, Dolcemascolo V (2007) Rollover risk prediction of heavy vehicle in interaction with infrastructure. Int J Heavy Veh Syst 14(3):294–307. https://doi.org/10.1504/IJHVS.2007.015605
Ye Z, Xie W, Yin Y, Fu Z (2020) Dynamic rollover prediction of heavy vehicles considering critical frequency. Autom Innov 3:158–168. https://link.springer.com/article/10.1007%2Fs42154-020-00099-w
Qu G, He Y, Sun X, Tian J (2018) Modeling of lateral stability of tractor semi-trailer on combined alignments of freeway. Discret Dyn Nat Soc 2018:001–017. https://doi.org/10.1155/2018/8438921
Dahlberg E, Stensson A (2006) The dynamic rollover threshold-a heavy truck sensitivity study. Int J Veh Design 40(1/2/3):228–250. https://doi.org/10.1504/IJVD.2006.008463
Xiujian Y, Juntao S, Jin G (2015) Fuzzy logic based control of the lateral stability of tractor semi-trailer vehicle. Math Probl Eng 2015:001–016. https://doi.org/10.1155/2015/692912
Yin C, Wang S, Gao J, Li X (2023) Trajectory tracking for agricultural tractor based on improved fuzzy sliding mode control. PLoS ONE 18(4):e0283961. https://doi.org/10.1371/journal.pone.0283961
Sahin H, Akalin O (2020) Articulated vehicle lateral stability management via active rear-wheel steering of tractor using fuzzy logic and model predictive control. SAE Int J Commer Veh 13(2):115–128. https://doi.org/10.4271/02-13-02-0008.
Zhansheng S, Long W, Yunmeng L, Kangda W, Zhizhu H, Zhongxiang Z, Jiahao Q, Zhen L (2022) Actively steering a wheeled tractor against potential rollover using a sliding-mode control algorithm: scaled physical test. Biosys Eng 213(2022):13–29. https://doi.org/10.1016/j.biosystemseng.2021.11.015
Yang X, Xiong J (2013) Nonlinear yaw dynamics analysis and control for the tractor-semitrailer vehicle. Int J Heavy Veh Systems 20(3):253–288. https://doi.org/10.1504/IJHVS.2013.054787
Xu X, Zhang L, Jiang Y et al (2019) Active control on path following and lateral stability for truck-trailer combinations. Arab J Sci Eng 44:1365–1377. https://doi.org/10.1007/s13369-018-3527-1
Tremblay J, Ziernicki R, Railsback B, Kittel M (2009) Wind effects on dynamic stability of tractor trailer in winter conditions. SAE 2009 Commercial Vehicle Engineering Congress & Exhibition. https://doi.org/10.4271/2009-01-2915
Hung TT, Huong VV, Khanh DN (2022) Study on the dynamic rollover indicators of tractor semi-trailer vehicle while turning maneuvers based on multibody system dynamics analysis and newton-euler equations. Lecture Notes in Mechanical Engineering, pp 30–38. https://doi.org/10.1007/978-3-030-99666-6_5
Shahram M, Cesar T, Soheil N, Cesar C (2021) Impact of pavement roughness and suspension systems on vehicle dynamic loads on flexible pavements. Transp Eng. https://doi.org/10.1016/j.treng.2021.100045
Jing P, Tie W, Tiantian Y, Xiuquan S, Guoxing L (2018) Research on the aerodynamic characteristics of tractor-trailers with a parametric cab design. Appl Sci. https://doi.org/10.3390/app8050791
Zhang Z, Li J, Guo W (2018) 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 Eng. https://doi.org/10.1177/1687814018786364
Baslamisli SC, Solmaz S (2015) Design of a multiple-model switching controller for ABS braking dynamics, Sage Journals Home. Trans Inst Meas Control 37(5):582–595. https://doi.org/10.1177/014233121454652
Soltani A, Assadian F (2015) New slip control system considering actuator dynamics. SAE Int J Passenger Cars Mech Syst 8(2):512–520. https://doi.org/10.4271/2015-01-0656
Shin D, Woo S, Park M (2021) Rollover index for rollover mitigation function of intelligent commercial vehicle’s electronic stability control. Electronic 10:001–009. https://doi.org/10.3390/electronics10212605
Phanomchoeng G, Rajamani R (2013) New rollover index for the detection of tripped and untripped rollovers. IEEE Trans Industr Electron 60(10):4726–4736. https://doi.org/10.1109/TIE.2012.2211312
Kazemian AH, Fooladi M, Darijani H (2017) Rollover index for the diagnosis of tripped and untripped rollovers. Latin Am J Solids Struct 14(11):1979–1999. https://doi.org/10.1590/1679-78253576
Lundahl K, Lee CF, Frisk E, Nielsen L (2015) Analyzing rollover indices for critical truck maneuvers. SAE Int J Commer Veh 8(1):189–196. https://doi.org/10.4271/2015-01-1595
Fan L, Li GY, Chen R (2016) Speed calculation model and simulation of rollover prevention in condition of extreme turn based on lateral force coefficient. Trans Chin Soc Agric Eng 32(3):41–47. https://doi.org/10.11975/j.issn.1002-6819.2016.03.007
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Tuan Hung, T. A Simulation Approach to Determine Dynamic Rollover Threshold of a Tractor Semi-Trailer Vehicle during Turning Maneuvers. J. Vib. Eng. Technol. (2024). https://doi.org/10.1007/s42417-024-01402-3
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DOI: https://doi.org/10.1007/s42417-024-01402-3