Modeling of three-link road trains

Abstract

It is proposed to use graphs for developing the mathematical model of multi-link road trains with coupling devices of different designs. The calculation scheme is formed on the basis of the structure graph of the multi-link road train construction scheme. Next, the structure graph of the mathematical model generalized coordinates levels is written. This allows to develop the mathematical model of appropriate complexity depending on the research objectives. The developed mathematical motion model of a multi-link road train with an elastic-damping joints of their main elements was represented by a system of nonlinear inhomogeneous ordinary differential equations of the second order. The acceleration process for three-link road train with pneumatic coupling devices between train links was modeled.