New Application of Dynamics in the Mixed Vehicle Flow Theory Research

A new approach based on dynamics and kinematics presented to solve the mixed vehicle flow theory can't describe the overtaking phenomenon in this paper. The approach adopts a spring to describe the characteristics of the acceleration and deceleration of the following vehicle under the known condition of front vehicle moving. When the distance between the front vehicle and following vehicle is greater than the balance distance of the spring, the acceleration behavior is considered as the spring extension. Contrarily, when the distance is less than the balance distance, the decelerated behavior is considered as the spring compression. Upon the analogy, a dynamics-kinematics model for mixed vehicle flow is developed.