To determine the stability of the road train with a partially filled tanker
Volodymyr Sakhno, Serhii Tsymbal, Denis PopelychWhen designing and manufacturing tanks for the transportation of liquid cargo, it is necessary to take into account the shape of the tank, the level of liquid filling and the natural frequency of splashing of the liquid in the tank, as they are important factors and affect the stability of the movement. Due to the uncertainty of the lateral forces acting in a partially filled tank, the maximum speed of the start of braking, at which the stability of the movement is still ensured, can be taken as the main indicator of the lateral stability of the tank train. When studying the stability of a road train, as a rule, plane-parallel movement of its links is considered. At the same time, it is considered that the normal reactions of the support surface on the starboard and port wheels are the same. Under this condition, stability of movement is considered for a flat model of a road train. However, when the road train is moving with a partially filled tank, the reactions of the support surface on the wheels of the road train links may change significantly. To determine this phenomenon, the equations of the road train were compiled both in plane-parallel motion and in the longitudinal vertical and transverse planes.
The integration of the equations of motion is performed for a road train consisting of a DAF XF95 tractor and a tank semitrailer filled to 50 % (8000 L) and the same road train with the same rigid load. As a result of the integration of the obtained system of equations, it was established that during braking of a road train with a partially filled tank, due to the movement of liquid in the tank itself, a lateral force arises, which depends on a large number of factors that cannot be determined analytically. This force leads to a change in the normal reactions of the support surface on the wheels of the axles and sides of the road train. At the same time, the reaction on the wheels of both sides of the tractor vehicle increases, and on the wheels of the semi-trailer - decreases. This is explained by the effect of liquid cargo on the walls of the tank. At the same time, it is shown that the generalizing parameter that characterizes the stability of the straight-line movement of a road train with a partially filled tank (50 % of the full volume) in the braking mode should be taken as the initial speed at which the tractor and semi-trailer do not exceed the width of the traffic lane. Based on the selected criterion, the initial braking speeds are obtained, at which the stability of the road train is ensured. These velocities, with a coefficient of adhesion of the wheels to the supporting surface in the range of = 0.6, were 16.1 and 26.9 m/s for the road train with hard and liquid cargo, respectively. Therefore, it is necessary to provide special devices in the tank structures, in particular internal partitions, which would increase the stability of the road train during the braking process
References
[1] Zheng, X., Zhang, H., Ren, Y., Wei, Z., & Song, X. (2017). Rollover stability analysis of tank vehicles based on the solution of liquid sloshing in partially filled tanks. Advances in Mechanical Engineering, 9(6). doi: 10.1177/1687814017703894.
[2] Treichel, Т.Т. et al. (2006). Safety per-formance of tank cars in accidents: Probabilities of ladingloss. Report RA-05e02. Washington: Association of American Railroads.
[3] Wang, W.H., Cao, Q., Ikeuchi, K., & Bubb, H. (2010). Reliability and safetyanalysis methodology for identification of drivers’ erro-neous actions. International Journal of Automotive Technology, 11, 873-881. doi: 10.1007/s12239-010-0104-3.
[4] Zheng, X., Zhang, H., Ren, Y., Wei, Z., & Song, X. (2017). Rollover stability analysis of tank vehicles based on the solution of liquid sloshing in partially filled tanks. Advances in Mechanical Engineering, 9(6). doi: 10.1177/1687814017703894
[5] Tran, V.N., Nguyen, X.N., Vu, V.T., & Dang, T.P. (2022). Rollover stability analysis of liquid tank truck taking into account the road profiles. Journal of Applied Engineering Science, 20(4), 1133-1142. doi: 10.5937/jaes0-36578.
[6] Khalifa, A.F., Arafa, M.H., & El-Sherbini, M.G. (2007). Numerical and experimental analysis of sloshingh in rectangular tanks. Journal of Engineering and Applied Science, 54, 501-516.
[7] Younes, M.F., Younes, Y.K., El-Madah, M., Ibrahim, I.M., & El-Dannanh, E.H. (2007). An experimental investigation of hydrodynamic damping due to vertical baffle arrangements in a rectangular tank. Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 221(3), 115-123. doi: 10.1243/14750902JEME59.
[8] Chen, Y., Deng, Z., & Wang, Y. (2020). Free liquid surface sloshing in a tank of a moving vehicle and its suppression. Interfacial Phenomena and Heat Transfer, 8(2), 147-163. doi: 10.1615/InterfacPhenomHeatTransfer.2020034199.
[9] Yu, D., Li, X., Liu, H., Ren, Y., Dong, J., & Wang, L. (2015). Theory and experiments on driving stability of tank trucks under dangerous working conditions. Journal of Vibroengineering, 17(5), 2521-2534.
[10] Sakhno, V.P., Poliakov, V.M., & Sharay, S.M. (2021). Articulated buses. Maneuverability and stability. Lutsk: Lutsk National Technical University.
[11] Popelysh, D.M. (2022). To determine the transverse stability of a tank car. Bulletin of the National Transport University. Series: Technical Sciences, 3(53), 291-300. doi: 10.33744/2308-6645-2022-3-53291-300.
[12] Popelysh, D.M., Seliuk, Y M., Tomchuk, S.M., & Nevidemska, N.M. (2019). To the stability of the tank truck in braking mode. Highway of Ukraine, 1(257), 27-32. doi: 10.33868/0365-8392-2019-1-257-27-32.
[13] Sakhno, V.P., Polyakov, V.M., Stelmashchuk, V.V., & Popelysh, D.M. (2022). To determine the stability of the movement of a three-link trailer train in braking mode. Modern Technologies in Mechanical Engineering and Transport: Scientific Journal, 1(18), 143-154.