A Mathematical Model of Rectilinear Rolling of Elastic Wheels on an Uneven Deformable Support Base

Currently, there are technical, economic and social needs to develop and utilize vehicles with pneumatic propulsion, including those of ultra-low pressure, for the development of northern and north-eastern parts of Russia. In Russia, the fleet of energy efficient vehicles of high passability is insufficient, therefore the task of predicting the off-road ability of wheeled vehicles on a surface with poor load-bearing properties is relevant. The authors developed a mathematical model of rectilinear rolling of an elastic wheel on an uneven deformable support base, taking into account the deformation of the contact patch and the change in the direction of the radial and tangential reactions. The efficiency of the developed mathematical model was proved by simulation methods.

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