Psychological-Physical Force Model for Bicycle Dynamics

Abstract The core challenge in modeling bicyclist behavior dynamics is how to tackle the interaction between the lateral and the longitudinal movements. Further the bicycle transportation could be considered as multi-particle self-driven system. The combined dynamic model, psychological-physical force model (PPFM) and trajectories choice model (TCM), is proposed as a multi agent model to describe bicycle microscopic behavior dynamics. The PPFM is a continuous force model, which obeyed to the Newton's second law. By introducing the trajectories choice behavior in the tactical level, the TCM is modeled to describe the ability to individual autonomous thinking and to respond to changes ambient conditions for predefined behavior tank. Through designing computational experiments, the simulation data is collected to calibrate and validate the models. The simulation results show that the fundamental diagram obtained by simulation is dovetail into the empirical data. The PPFM is capable of describing the nonlinear interaction between individuals and the microscopic behavior of the proposed bicycle dynamic model with reasonable traffic.