Study of torsion oscillations of pumping unit shafts

[摘要] The method of detuning from resonant frequencies is an effective method of reducing the vibration activity of the HA at the design stage, which allows selecting the necessary operating mode for the HA, which will provide the necessary reliability of operation. In this connection, works in the field of increasing the vibration protection of NA are relevant. All calculations are based on the dynamic model of free torsional vibrations of the pumping unit, for which the oscillation equation was derived on the basis of Lagrange equations of the second kind, where the angle of rotation of the rotor was taken as the generalized coordinate. Next, expressions were obtained for the determination of the potential and kinetic energies that take into account all the characteristics of the shaft and the disk of the rotor HA; in particular, for the first time the mass of the shaft is taken into account. Then an expression was obtained for determining the frequencies of free torsional oscillations and the equation of motion of the rotor HA. Knowing the parameters of the oscillatory motion makes it possible to estimate the stresses that arise when the shaft rotates. The following is a case of a sudden stop of the shaft, for example, when the support is destroyed, and a graph is obtained from which the main conclusions are drawn.

[发布机构] Industrial University of Tyumen, 38 Volodarskogo St., Tyumen; 625000, Russia^1;State Agrarian University of the Northern Trans-Urals, 5 Repablic St., Tyumen; 625003, Russia^2

[效力级别] 运输工程

[关键词] Angle of rotation;Equation of motion;Generalized coordinates;Lagrange equation;Operating modes;Oscillatory motion;Torsional oscillation;Torsional vibration