Abstract
A numerical model to study the towing maneuver for floating and submerged bodies has been developed. The proposed model is based on the dynamic study of a catenary line moving between two bodies, one body with imposed motion, and the other free to move. The model improves previous models used to study the behavior of mooring systems based on a finite element method by reducing the noise of the numerical results considering the Rayleigh springs model for the tension of the line. The code was successfully validated using experimental results for experimental data from different authors and experiments found in the literature. Sensitivity analysis on the internal damping coefficient and the number of elements has been included in the present work, showing the importance of the internal damping coefficient. As an example of the application of the developed tool, simulations of towing systems on a real scale were analyzed for different setups. The variation of the loads at the towed body and the position of the body were analyzed for the studied configurations. The reasonable results allow us to say that the proposed model is a useful tool with several applications to towing system design, study or optimization.
Highlights
The rapid development of floating structures such as wave energy converters, floating wind turbines and aquaculture structures has increased the use of the marine space
There are different alternatives in the literature to study the mooring systems of floating bodies. These methods are based in the study of the cable dynamics using a finite element method (FEM) [1,2] and lumped mass models (LM) [3,4]
In Reference [1], first-order FEM is used to solve Equation (1) as follows—the partial differential equation (PDE) is transformed into the generalized problem, the Galerkin method is used, and the cable is discretized in n + 1 points r(s, t) = (r0, r1, ..., rn), where rn is the position of the top support of the cable at the fairlead of the body, and r0 is the position of the opposite end of the cable, the position of a fixed anchor in Reference [1] and the position of the towed body in this research
Summary
The rapid development of floating structures such as wave energy converters, floating wind turbines and aquaculture structures has increased the use of the marine space. There are different alternatives in the literature to study the mooring systems of floating bodies These methods are based in the study of the cable dynamics using a finite element method (FEM) [1,2] and lumped mass models (LM) [3,4]. All these authors use Morison equation for the fluid-cable interaction, neglecting viscous effects as the Vortex Induced Vibrations [5,6].
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