Study on Stability of a Bicycle Using Multibody Dynamics

Abstract

This paper presents stability of bicycles using multibody dynamics. Mathematical model of bicycles was usual developed as a liner system that has four degrees of freedom. In this paper, the model is developed as a multibody system that has nine degrees of freedom. The nine equations of motion are derived by the application of variational formed D'Alembert' equation. In this study, the effect of rear frame inertia on bicycle's stability is investigated using this multibody system model. As a result of simulation analysis, it becomes clear that the rear frame parameters, e.g. center of gravity, inertia moment and so on, effect on stability of bicycles.