Motion of a two-wheel rigid body along a plane curve

The problems of motion of objects having wheels or rollers along planar curvilinear trajectories are very common in various branches of transport engineering and building structures. However, many of these problems are considered with significant simplifications that are not applicable for the calculation of vehicles of roller-coaster type. In this paper, the unsteady motion of a two-wheel rigid body along an arbitrary plane curve is investigated. Basic kinematic relationships and equations of motion are formulated, as well as the relationships for determining the load on the ground imposed by the object under study. The numerical algorithm is verified, and an example of calculations is considered. The influence of the radius of the wheels on the motion parameters is analyzed. The body impact on the structure is determined to evaluate the strength of the structure and the body overload needed for biomechanical analysis. The results will be useful in various branches of transport engineering.

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