Abstract
Mathematical models are given for determining the transverse vibrations of variable mass units (trailed and semi-trailer tanks) when performing transport work as a part of a machine-tractor unit. In the mathematical model the redistribution of liquid in the tank, which is caused by transverse vibrations of the shell, is taken into account using the characteristics of Rayleigh surface waves. It is established that in a uniaxial semi-trailer tank at the transport speed the effect of the transverse vibrations of the liquid on the transverse displacements of the axis is negligible. The reason is that the center of mass of the tank is located in front of the wheel axle, which ensures its lateral stability of movement. It was determined that the lateral stability of the trailer tank is significantly affected by the redistribution of masses in the tank, this is especially noticeable when studying the wobble of the rear axle of the tank.
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