Desempenho de elementos finitos de viga com formulação completa e simplificada na análise dinâmica de risers

Abstract

The use of computational systems to solve engineering problems is increasingly present practical in the design offices. The Finite Element Method is one of the numerical techniques used in many of these systems, like the DOOLINES, a framework developed in objectoriented language, that allows a time domain dynamic analysis of the mooring lines and risers. In DOOLINES, until this work, the mooring lines and risers were discretized in onedimensional finite elements using a simplified formulation with six degrees of freedom (translational) element, with the consideration of only the axial and bending stiffness, when desirable, being this indirectly. This work incorporates into the DOOLINES class structure a new complete formulation element type that uses the co-rotational theory, with twelve degrees of freedom (translational and rotational) element, able to represent the axial, bending and torsional stiffness. The lumped-mass matrix is used in both formulations. This paper makes a comparative study of these elements about the quality of the response and the time required for simulation.