Psychological-Physical Force Model for Bicycle Dynamics

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.

摘要自行车微观行为动力学建模的关键是如何描述自行车横向和纵向的运动关系。本文将自行车交通系统视作具有自主性的多粒子系统，提出了由心理生理力模型和轨迹选择模型构成的、描述自行车微观行为动力学特性的多主体模型。心理生理力模型为连续力模型，自行车/骑行者个体被视作是受心理力和生理力作用的、服从牛顿力学的基本粒子。在轨迹选择模型中，通过在行为模型层面引入个体运动的轨迹选择行为，预定义个体面对不同交通状况时的行为库，描述组成自行车群体中的个体独立思考和对周围环境变化做出反应的能力。通过设计计算机模拟实验并收集数据，对模型进行有效性验证。模拟结果表明：模拟得到的自行车交通流的密度-速度关系与实测数据具有良好的一致性，认为本文提出的自行车微观行为动力学模型具有交通上的合理性。