A multi-body coupled mathematical model of a tug–barge–rope system is developed to address the absence of comprehensive parameter design theories for synthetic fibre ropes in marine towing systems and the challenges associated with stability regulation under complex sea states. This study systematically examines the effects of three rope lengths (20, 80, and 120 m) and three fibre materials (nylon, polyester, and ultra-high-molecular-weight polyethylene) on the dynamic performance of a towing system. The mechanical coupling relationships between system components are explored by utilising a dynamic control model. Parametric analysis highlighted the mechanical properties, elongation deformation, and stiffness evolution of ropes of varying lengths and materials during towing operations. The results indicate that short ropes demonstrate high strain sensitivity and instantaneous stiffness, which can readily induce overloads in the power system of the tug. Medium-length ropes, benefiting from viscoelastic deformation, facilitate energy dissipation, thereby mitigating tension fluctuations and enhancing motion stability. In contrast, long ropes result in delayed barge responses owing to stiffness attenuation. This study also revealed that different fibre materials offer distinct advantages in terms of force transmission, vibration suppression, and load-bearing capacity. Based on model analysis and a parametric study, optimal selection schemes for synthetic fibre ropes are proposed. The findings provide a theoretical foundation and practical guidance for the performance optimisation and engineering application of synthetic fibre ropes in marine towing systems, contributing significantly to the advancement of ocean engineering.
Mooring ropes are essential components of ships and offshore floating structures and they are subjected to cyclic axial loads. This study investigates the evolution of the full-cycle stiffness of fibre polyester ropes under long-term static and dynamic loading. First, the static stiffness characteristics of the ropes, including the rope elongation properties at different stages, shrinkage rates, and creep coefficients after an idle period, are examined under static loads; an empirical formula for static stiffness is established. Second, the dynamic stiffness characteristics of the ropes are investigated under cyclic loads that are typical of platform production operations. The stabilities of the structure under different tensions are compared; the effects of mean tension, tension amplitude, and load cycle on the dynamic stiffness of the ropes are analysed and an empirical formula is established to predict the dynamic stiffness during the engineering design phase. The results of this study can be helpful for the rational design of deep-sea taut-leg mooring systems because they present the evolution of the full-cycle stiffness characteristics of mooring ropes.
To determine the loading conditions considering the action of both bending and torque moment for a passenger catamaran moving among waves, a method for calculating equivalent design waves under multiple load control parameters was derived based on wave load prediction results using three-dimensional potential flow theory. The method was developed by defining the wave amplitude discrepancy factors between the primary and second load of the combined bending and torquing equivalent design wave. The primary goal was to find a reasonable design wave. Finally, the design waves of a target passenger catamaran ship were calculated using the proposed method, and each load component of every design wave for the target hull was recalculated. The average error compared with the object load component was less than 1%, which verifies the effectiveness of the method and offers an effective engineering evaluation method for a catamaran.
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