Automatic Generation of Dynamic Models of Cables to Underwater Applications
Thiago A. Pouzada1; Sebastião Cícero Pinheiro Gomes1
1 Universidade Federal do Rio Grande - FURG
doi:10.20906/CPS/COB-2015-0322
Resumo
Dynamic modeling of cables is a research theme of great importance and practical application nowadays. However, due to non-linearity behavior present on cable dynamics, as well as the need to work with many degrees of freedom, to develop dynamic models for these systems becomes a hard task. To develop dynamic models of cables, this article uses the Lumped Mass Approach Method, which supposes the cable consisting of rigid links connected by fictitious elastic joints. The cables were considered with one of its endings articulated to a floating structure (ship or platform), while on the other ending were considered two cases: one free terminal loading; ending fixed to the ground. The cables are submersed and the hydrodynamic drag was considered from a simple model, proportional to the velocity's square. Using the Euler-Lagrange Formalism, the dynamic models for cables considering two, three and four links were developed. From these models algorithms have been developed to automatically generate dynamic models for any number of links considered. Simulations were performed, proving the results agreeing qualitatively with the physical expected results. We have developed a software to display animation showing frames each 0.005 s. This animation, based on data from numerical simulation, had allows to show that the developed dynamic model gives a great sense of reality.
Palavras-chave: cables ; modeling ; dynamic ; automatic generation ; underwater applications