Dynamic modeling and analysis of a mixing device when the drive link moves in a rotational mode

The dynamics of the mixing and whipping device based on the slider–crank mechanism under the rotary mode of the driving link movement are investigated. The equations of motion are highly nonlinear. An analysis of the speed characteristics shows that the device parameters and technological environment affect the amplitude of the oscillations of the angular velocity of the motor shaft and its average value. An increase in the crank length and density of the liquid is accompanied by an increase in these oscillation parameters and an increase in the number of holes in the piston and their radii with a decrease in these values. The mixing and whipping forces and their power (in modulus) greatly increase as the angular velocity of the crank increases and then steeply decrease in the downward movement area of the piston, having reached certain values. The longer the crank, the denser the liquid, and the smaller the radii of the holes and their number, the greater the dynamic characteristics. The stability of motion is considered for various system states, including in the phase plane, for the rotational and oscillation-damped modes of motion and at the boundary between these modes. The results of analytical, numerical and experimental studies are in good agreement.