Abstract
In the present paper the motion of a lifting mechanism of crane is considered. The unloading procedure is analyzed when the mass of the mechanism is varying. Due to the mass variation a reactive force appears. The influence of the reactive force on the motion of the system is investigated. The mechanical model of the mechanism is a simple pendulum with the variable mass and length. Some special cases are considered: (i) the relative mass variation rate is constant; (ii) the damping is varying and the relative length variation rate is constant and the wind force is present. The values of mechanism parameters, for which beside the regular also nonregular motion may appear, are obtained. The method of Melnikov is applied.
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