Metastable Conditions in a Three-Wheeled Bicycle with Variable Front Wheel Spacing

The article concerns the problem of lateral stabilization of a tricycle with variable front wheel track. The vehicle can operate in two modes: with the front wheels folded out and connected. A bicycle designed for people with special needs. The element that requires elaboration is the stabilization while driving with the front wheels unfolded. In this mode, a metastable state is created. When the lateral angle of the slope exceeds the limit value, the lateral force causes the lateral tilt. This phenomenon should be treated as a disadvantage as it makes it difficult to smoothly tilt the bicycle, which can lead to disorientation of the rider and difficulty in maintaining balance. The article presents mathematical simulations that allow for the analysis of factors influencing the discussed phenomenon.