Regime optimization of a horizontal gibbet radius varying mechanism of a tower crane

Abstract

A regime optimization of the mechanism of horizontal gibbet radius varying mechanism of a
tower crane has been implemented. It allows to increase the productivity and the reliability of the
researched mechanism.
An integral functional has been chosen as an optimization criterion. It reflects the mean
square value of the change rate in the pulling rope. A minimum condition of the above criterion has
been found – the Euler-Poisson equation.
The solution of the Euler-Poisson equation with the corresponding boundary conditions has
allowed to reduce undesirable dynamic loads and energy losses in the mechanism. Moreover, for
the obtained optimal regime of the movement the acceleration duration has been determined. It
allows to avoid the reverse of the asynchronous electric motor.
The obtained results should be used both during the modernization of the existing and in the
development of new control systems of horizontal gibbet radius varying mechanism of a tower crane.