MATHEMATICAL MODELLING OF THE PNEUMATIC SYSTEM OF DEVICES FOR MASSAGE OF THE UDDER OF HEIFERS OF TWO-CHAMBER TYPE

Abstract

The paper presents the results of mathematical modeling of pneumatic devices for a combined massage of the udder of heifers two-chamber type. In the first stage of theoretical studies the mathematical model of the process of the flow of air from the chamber with a constant volume through the hole with the same diameter. More sophisticated is the design the device to massage the udder of heifers includes a power pneumatic chamber with variable volume, which can be performed at the same time or separately with a massage bell and connect periodically or on a continuous basis through one or several calibrated holes. In this case, the device is in the form of a two-chamber design described by a more complex mathematical model. Thus, a principled approach to modeling of pneumatic devices for massage of the udder of heifers two-chamber type is to develop a mathematical apparatus, allowing to carry out theoretical research work is relatively simple is the design of devices and based on the synthesis of these dependencies to simulate the operation of more complex structures massage devices.