Oscillations of the Concrete Pump Boom in the Vertical Plane

The vibrations of a three-section boom of a concrete pump in the vertical plane on a three-mass dynamic system are considered separately from the torsional vibrations of the boom and its vibrations in the horizontal plane. The differential equations are based on the generalized Hooke law. The values of the periods of natural oscillations of the boom T₁ = 1.33 s, T₂ = 0.32 s, and T₃ = 0.132 s and the corresponding forms of these vibrations are given. It has been shown that when the pump performance is close to the maximum, resonance at a low frequency is possible. Some positions and modes of operation of the boom are considered, in which significant additional dynamic loads may arise in its middle section. Recommendations are given on ways to reduce the dynamics of a concrete pump boom in the vertical plane.