MODELS’ SUPERPOSITION AT MODELING THE SATURATION OF CARGO SPATIAL VIBRATIONS

Abstract

Introduction. A solution of the problem of moving the load to a given distance is proposed in the article with the fulfillment of the condition for complete quenching of the uncontrollable pendulum spatial oscillations for the plane pendulum dynamical system with oscillations’ damping describing the load oscillations of the bridge crane on a flexible cable suspension in a separate vertical plane. Materials and methods. The recalculation principle of the time dependences of the cargo rope deviation from the dependence of the vertical acceleration, speed and movement of the load suspension on the freight trolley in a separate bridge plane or the freight trolley. The kinematic restrictions on the movement of the cargo suspension point in the form of the maximum achievable accelerations, speeds of the bridge and the truck of the crane are taken into account in the research. Results. The principle hypothesis of the swings’ superposition in the joint cargo movement of two mutually perpendicular vertical planes is confirmed with small deviation angles’ values of the load rope from the vertical position. Discussion and conclusion. The accuracy of the superposition of the bridge crane pendulum system flat models is evaluated in the process of suppressing the spatial cargo swings. The spatial cargo movement in two mutually perpendicular vertical planes could be simulated with sufficient accuracy for practical purposes using a relatively simple flat mathematical model of the loaded bridge crane pendulum system.