Mathematical modelling of the pneumatic relay emergency valve for dual-line agricultural trailer braking systems

Abstract

A mathematical model of the trailer relay emergency valve used in the pneumatic braking systems of agricultural trailers has been presented. The differential equations of the model allow for the inertia of control elements, static and kinetic friction, and heat exchange in individual valve chambers. The developed mathematical valve model was used for simulation of the transient processes in the dual-line braking system of a single-axle agricultural trailer. The computer models for individual components of the braking system were made within the program MATLAB/Simulink in the form of S-function-type functional structural blocks based on original algorithms. The positive results of validation of the trailer braking system computer model show a potential for a wider use of dynamic computations in the computer-aided process of designing pneumatic vehicle braking systems.