dynamic processes

INVESTIGATION OF OSCILLATIONS IN A SYSTEM WITH NONLINEAR ELASTIC CHARACTERISTICS

Abstract. Goal of the work is to apply periodic Ateb-functions to investigate dynamic processes of strongly nonlinear systems with a finite number of degrees of freedom. Significance. Practically all problems in mechanics and engineering related to system oscillations, when strictly formulated, are nonlinear, as they are mathematically described by nonlinear differential equations. This often poses significant challenges in studying their behaviour, as finding a solution in exact form can be difficult.

Vibration diagnostic model of ball radial piston pump of hydraulic gear.

The universal mathematical model of dynamic processes in a radial plunger hydromashine pump with ball-pistons is created. This model takes into account inertial properties of piston balls, a stator, elastic liquid properties in a cylinder control, eccentricity, replenishment pressure and pressure in cavity pumping, and rotor frequency rotation. The law of pressure changes is established; this law takes into consideration its reproaches in pump cylinders.