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Paper treats the influence of vertical vibrations that occur in a tanker truck moving on a wavy or uneven road surface on the dynamics of the fluid inside the tank. It has been shown the interaction of the vehicle wheels with the road profile causes vertical accelerations that change the effective field of gravity and act as an additional mechanism for exciting vibrations of the free surface of the liquid. The purpose of the paper is to develop a mathematical model of the transporting hazardous liquids process, which takes into account the unevenness of the road surface to minimize the negative impact of liquids to the environment. Novelty: approaches to determine the effects of the road surface condition on the safety of storing and transporting hazardous liquids in tanks have been further developed. The practical significance of the results obtained is in using the developed mathematical model to assess safe modes of tanker truck movement, identify dangerous sections of the road and establish safe transportation routes and reduce the risk of emergency situations during the transportation of hazardous liquids. The results of calculations of the liquid movement in a rigid cylindrical shell at different amplitudes and frequencies of external influence have been presented, and the phase portraits of the movement of the free surface have been analyzed. It is established that certain combinations of the speed of the vehicle and the characteristics of road irregularities could cause increased sloshing even with insignificant unevenness of the surface. The conclusion is in the necessity to take into account the influence of vertical and combined vibrations when assessing the safety of tank trucks and the transportation of dangerous liquids. This also supports safer route choices.
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Volodymyr Holota (2026) studied this question.
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