The paper presents the dynamic model of an A-frame, which is a kind of an offshore crane with a portal construction. The rigid finite element method (RFEM) has been used in discretization of the flexible substructure. An application of optimisation methods to define the drive function course of the hoisting winch is presented. The goal of the optimisation is to ensure stabilization of the load’s position. In order to achieve appropriate numerical effectiveness, the optimisation problem has been solved for a simplified model of an A-frame. Comparison of numerical results obtained for different types of objective functions and types of drive functions is presented in the paper as well.

The peculiarity of offshore cranes, i. e. cranes based on ships or drilling platforms, is not only a significant motion of their base, but also the taut-slack phenomenon. Under some circumstances a rope can temporarily go completely slack, while a moment later, the force in the rope can increase to nominal or even higher value. Periodic occurrence of such phenomena can be damaging to the supporting structure of the crane and its driver. In the paper, mathematical models of offshore cranes that allow for analysis of the taut-slack phenomenon are presented. Results of numerical calculations show that the method of load stabilization proposed by the authors in their earlier works can eliminate this problem.