Mathematical modeling of oscillations of the associated transport and technological complex with the use of the graph theory

Abstract

The work of technological complexes is connected with specific operating conditions, especially when moving on temporary roads and off-road conditions. A new model was developed for the analysis of production machinery dynamical oscillation under attachable equipment influence. The developed model was divided into simple modules, which allowed us to use the graph theory for modeling. A special structure was created for the oscillation model which allowed us to take into consideration the main vehicle movement parts, objects of internal impact, and attachable equipment influence. The most important idea of a coupling transport oscillation model was the center of mass modeling. This approach showed that the most important role in decreasing of oscillation decay time is suspension characteristics. Using mainly the experimental technique of proelastic suspension properties and coupling active nodes, you can minimize the machine body frame oscillation decay time. As the calculation shows, the oscillation decay time can be reduced by more than two times with simple adding of the second trailer unit. A modular modeling principle of complex dynamic systems allows solving complicated technological transportation systems with any structure. This approach allows us to predict complex dynamic systems behavior and take into consideration different types of external dynamic forces without expensive experiments. © 2019, Springer Nature Switzerland AG.