Mathematical model of vibrating air pump unit

Abstract

Based on the laws of classical mechanics, in particular, the law of conservation of momentum, the paper describes the developed mathematical model of signal propagation during vibration diagnostics. At the beginning, the problem of signal propagation was investigated, which was reduced to solving the problem of wave propagation. According to the analysis of experimental results investigated, that the attenuated nature of the signals must be taken into account. For this purpose, a mathematical model has been developed, which allows to solve the problem of the propagation of damped signals. Comparative analysis allows to conclude that the constructed model is adequate.

Vibrodiagnostic method of water pump control

“…From the point of view of vibration strength in units, oscillations of a periodic nature are the most dangerous, resulting from mechanical, electromagnetic, and hydraulic processes with pronounced discrete components. Such dangerous vibrations are mainly strong diagnostic signals (that is, they stand out well against the background of vibration noise) [5,6].…”

Erosion processes during non-stationary cavitation of irrigation pumps

“…However, cavitation is most harmful through its wear and tear. Cavitation in the pumps is explained by the formation of discontinuities in those places where the pressure decreases to saturated vapor pressure at a given temperature, and water boils rapidly with the formation of vapor bubbles, which quickly decrease after passing to the high-pressure zone and the exhaustion of kinetic energy [15][16][17][18][19][20][21][22][23][24][25][26].…”

Achieving reliability and energy savings in operate of pumping stations

“…The centrifugal pump works on the principle of forced vortex flow, which means that of forced vortex flow, which means that when an external flow rotates a certain mass of liquid, the rise in pressure head of the rotating liquid takes place [13,14]. The rise in pressure head at any point of the rotating liquid is proportional to the square of tangential velocity of the liquid at that point [15,16].…”