This is an open access article distributed under the CC BY 4.0
Volume 20 article 1018 pages: 1133-1142
The rollover stability of the tank truck was quite poor compare with others due to the influence of the oscillating liquid inside the tank. In addition, it was also affected by road excitation during driving. Therefore, the paper presents the impact of the road profiles in turning and lane change maneuvers on the rollover stability characteristics of a liquid tank truck. Firstly, the study applies the quasi-static method and the roll model to built the dynamic model of a circular cross-section tank truck. After that, the Lagrange method and the D'Alembert's principle are used to set up the differential equations which are then used to investigate rollover stability of vehicle corresponding with each liquid level. The research used the value of the load transfer ratio (LTR), crest factor of LTR and the roll angle of suspension to evaluate vehicle stability in the time domain and the transfer function magnitude of LTR in the frequency domain. The simulation results had shown that the tank truck tends to a rollover phenomenon at the fluid level in tank of 50% and 75% (0.8m and 1.2m) when the vehicle ran survey road profiles in a steady state turning maneuver and in a lane change maneuver as there was not the road excitation. The research results can provide recommendations when operating liquid tank truck, developing control systems and warning of rollover.
1. National Center for Statistics and Analysis (2021). Early Estimates of Motor Vehicle Traffic Fatalities and Fatality Rate by Sub-Categories in 2020. National Highway Traffic Safety Administration, Report no. DOT HS 813 118.
2. Douglas BP., Kate H., Nancy M., et al. (2007). Cargo tank roll stability study: final report. Washington, DC: US Department of Transportation, Report GS23-0011L.
3. Vidas Žuraulis, Loreta Levulytė and Edgar Sokolovskij (2014). The impact of road roughness on the duration of contact between a vehicle wheel and road surface. Transport, vol. 29, no. 4, pp. 431-439, DOI: 10.3846/16484142.2014.984330.
4. Roberto Spinola Barbosa (2010). Vehicle dynamic safety in measured rough pavement. Journal of Transportation Engineering, vol. 137, no. 5, pp. 305-310, DOI: 10.1061/(ASCE)TE.1943-5436.0000216.
5. Levulytė L., Žuraulis V. and Sokolovskij E. (2014). The research of dynamic characteristics of a vehicle driving over road roughness. Eksploatacja i Niezawodnosc - Maintenance and Reliability, vol.16, no. 4, pp. 518-525.
6. Randy Whitehead, William Travis, David M. Bevly and George Flowers (2004). A study of the effect of various vehicle properties on rollover propensity. SAE International, no. 2004-01-2094, DOI: 10.4271/2004-01-2094.
7. Zbigniew Lozia (1998). Rollover thresholds of the biaxial truck during motion on an even road. Vehicle System Dynamics, vol. 29, no. sup1, pp. 735-740, DOI: 10.1080/00423119808969601.
8. Ram Prabhu Marimuthu, Bong-Choon Jang and Seung Jun Hong (2006). A study on SUV parameters sensitivity on rollover propensity. SAE International, no. 2006-01-0795, DOI: 10.4271/2006-01-0795.
9. Takano S., Nagai M., Taniguchi T. and Hatano T. (2003). Study on a vehicle dynamics model for improving roll stability. JSAE Review, vol. 24, no. 2, pp. 149-156, DOI: 10.1016/S0389-4304(03)00012-2.
10. Z. L. Jin, J. S. Weng and H. Y. Hu (2007). Rollover stability of a vehicle during critical driving manoeuvres. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 221, no. 9, pp. 1041-1049, DOI: 10.1243/09544070JAUTO343.
11. Chris Winkler (2000). Rollover of heavy comercials vehicles. University of Michigan Transportation Research Institute (UMTRI), Vol. 31, no. 4.
12. Alexandr O. Shimanovsky, Maryna G. Kuzniatsova аnd Volha I. Yakubovich (2018). Dynamics of tank trucks with baffles for transportation of viscous liquids. International Journal of Mechanical Engineering and Robotics Research, vol. 7, no. 4, pp. 438-443, DOI: 10.18178/ijmerr.7.4.438-443.
13. Xue-lian Zheng, Hao Zhang, Yuan-yuan Ren, Ze-hongWei and Xi-gang Song (2017). Rollover stability analysis of tank vehicles based on the solution of liquid sloshing in partially filled tank. Advances in Mechanical Engineering, vol. 9, no. 6, pp. 1-26, DOI: 10.1177/1687814017703894.
14. G. Popov, S. Sankar, T. S. Sankar and G. H. Vatistas (1992). Liquid sloshing in rectangular road containers. Computers & Fluids, vol. 21, no. 4, pp. 551-569, DOI: 10.1016/0045-7930(92)90006-H.
15. G. Popov, S. Sankar, T. S. Sankar and G. H. Vatistas (1993). Dynamics of liquid sloshing in horizontal cylindrical road containers. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 207, no. 6, pp. 399-406, DOI:10.1243/PIME_PROC_1993_207_147_02.
16. Salem M., Mucino V., Gautam M., and Aquaro M. (1999). Review of parameters affecting stability of partially filled heavy-duty tankers. SAE International, no. 1999-01-3709, DOI: 10.4271/1999-01-3709.
17. R. Ranganathan, S. Rakheja and S. Sankar (1990). Influence of liquid load shift on the dynamic response of articulated tank vehicles. Vehicle System Dynamics, vol. 19, no. 4, pp. 177-200, DOI: 10.1080/00423119008968941.
18. R. Ranganathan (1993). Rollover threshold of partially filled tank vehicles with arbitrary tank geometry. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, vol. 207, no. 3, pp. 241-244, DOI: 10.1243/PIME_PROC_1993_207_185_02.
19. S. Rakheja, S. Sankars and R. Ranganathan (1998). Roll plane analysis of articulated tank vehicles during steady turning. Vehicle System Dynamics, vol. 17, no. 1-2, pp. 81-104, DOI:10.1080/00423118808968896.
20. Amir Kolaei (2014). Dynamic liquid slosh in moving containers. PhD Dissertation, Concordia University, Quebec, Canada.
21. Xian-sheng Li, Xue-lian Zheng, Yuan-yuan Ren, Yu-ning Wang and Zhu-qing Cheng (2013). Study on driving stability of tank trucks based on equivalent trammel pendulum for liquid sloshing. Discrete Dynamics in Nature and Society, vol. 2013, pp. 1-15, DOI: 10.1155/2013/659873.
22. Saad Bin Abul Kashem (2013). Modeling and simulation of electromagnetic damper to improve performance of a vehicle during cornering. PhD Dissertation, Swinburne University of Technology, Hawthorn, Melbourne.
23. Gonzalo Moreno, Rodrigo Vieira and Daniel Martins (2018). Highway designs: effects of heavy vehicles stability. DYNA, vol.85, no. 205, pp. 205-210, DOI: 10.15446/dyna.v85n205.69676.
24. Nathaniel H. Sledge, Jr. and Kurt M. Marshek (1997). Comparison of ideal vehicle lane-change trajectories. SAE International, no. 971062, DOI: 10.4271/971062.
25. Peter Gaspar, Zoltan Szabo and Jozsef Bokor (2009). Active suspension in integrated vehicle control. Janusz Kleban, Switched Systems, IntechOpen, pp. 83-104, DOI: 10.5772/7036.
26. Peter Gaspar, Zoltan Szabo and Jozsef Bokor (2005). The design of an integrated control system in heavy vehicles based on an LPV method. Proceedings of the 44th IEEE Conference on Decision and Control, pp. 6722-6727, DOI: 10.1109/CDC.2005.1583242.
27. P.J. Liu, S. Rakheja and A. K. W. Ahmed (1997). Detection of dynamic roll instability of heavy vehicles for open-loop rollover control. SAE International, no. 973263, DOI: 10.4271/973263.
28. Chad Larish, Damrongrit Piyabongkarn, Vasilios Tsourapas and Rajesh Rajamani (2013). A new predictive lateral load transfer ratio for rollover prevention system. IEEE Transactions on Vehicular Technology, vol. 62, no. 7, pp. 2928-2936, DOI: 10.1109/TVT.2013.2252930.
29. Alicja Kowalska-Koczwara and Krzysztof Stypuła (2018). Influence of crest factor on evaluation of human perception of traffic vibration. Journal of Measurements in Engineering, vol. 6(4), pp. 250-255, DOI:10.21595/jme.2018.20421.
30. S. Kopylov, Z.B. Chen and Mohamed A.A. Abdelkareem (2020). Acceleration based ground-hook control of an electromagnetic regenerative tuned mass damper for automotive application. Alexandria Engineering Journal, vol. 59(6), pp. 4933-4946, DOI:10.1016/j.aej.2020.09.010.
31. Mohamed A.A. Abdelkareem, Lin Xu, Xuexun Guo, Mohamed Kamal Ahmed Ali, Ahmed Elagouz, Mohamed A. Hassan, F.A. Essa and Junyi Zou (2018). Energy harvesting sensitivity analysis and assessment of the potential power and full car dynamics for different road modes. Mechanical Systems and Signal Processing, vol. 110, pp. 307-332, DOI:10.1016/j.ymssp.2018.03.009.
32. S. P. Chavan, S. Sawant and D. A. Tamboli (2013). Experimental Verification of Passive Quarter Car Vehicle Dynamic System Subjected to Harmonic Road Excitation with Nonlinear Parameters. IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE), pp. 39-45.
33. S. H. Sawant, Mrunalinee V. Belwalkar, Manorama A. Kamble, Pushpa B.Khot & Dipali D.Patil (2012). Vibrational analysis of quarter car vehicle dynamic system subjected to harmonic excitation by road surface. International Journal of Instrumentation, Control and Automation (IJICA), vol.1, no 3-4, DOI:10.47893/IJICA.2012.1042.
34. Van Tan Vu, Olivier Sename, Luc Dugard and Peter Gaspar (2017). Enhancing roll stability of heavy vehicle by LQR active anti-roll bar control using electronic servo-valve hydraulic actuators. Vehicle System Dynamics, vol. 55, no. 9, pp.1405-1429, DOI: 10.1080/00423114.2017.1317822.
35. Van Tan Vu (2017). Enhancing the roll stability of heavy vehicles by using an active anti-roll bar system. PhD Dissertation, Grenoble Alpes University, France.
36. Van-Tan Vu, Olivier Sename, Luc Dugard and Peter Gaspar (2016). H∞ active anti-roll bar control to prevent rollover of heavy vehicles: a robustness analysis. IFAC-PapersOnLine, vol. 49, iss. 9, pp. 99-104, DOI: 10.1016/j.ifacol.2016.07.503.
37. Yechen Qin, Changle Xiang, Zhenfeng Wang and Mingming Dong (2017). Road excitation classification for semi-active suspension system based on system response. Journal of Vibration and Control, vol. 24, iss.13, pp. 2732-2748, DOI:10.1177/1077546317693432.