USE OF SINUSOIDAL FUNCTION FOR MODELING OF RAISING AND BRAKING OF THE SHIP OF BRIDGE CRANE IN THE MODE OF GAUGE OF VIBRATIONS

Abstract

For a dynamical system of a plane pendulum with vibration damping, describing the oscillations of the load of a bridge crane on a flexible cable suspension in a separate vertical plane, it is proposed to use a sinusoidal function with an offset to determine the time dependence of the deviation angle of the cargo rope from the gravitational vertical. Varying the acceleration time with a change in the rope deflection angle according to the proposed analytical dependence allows to achieve different speeds of cargo movement in the absence of cargo oscillation mode, as well as various maximum acceleration of the suspension point. An analytical solution is obtained for the problem of suppressing residual oscillations of the bridge crane load that arise after the full acceleration or deceleration of the suspension point of the load on the freight trolley. To derive the dependencies, a method is used to recalculate known analytical dependencies of the angle of deviation of the load line of a bridge crane from the gravitational vertical, depending on the acceleration, speed, and displacement of the suspension point of the load.

Keywords

• bridge crane
• vibration damping
• controller
• load sway