A simple and efficient algorithm for the static and dynamic analysis of flexible marine risers
Copyright policy )A simple and efficient algorithm for the static and dynamic analysis of flexible marine risers
Summary: The lumped mass discretization method is used to derive the equations of motion of flexible risers in three dimensional space. Nodal shear forces and bending moments are included in the formulations and fluid loading on the structure is calculated using the Morison equation. A simple model of the sea bed contact for catenary risers is given and tested. Nonlinear equations describing the riser motions are solved in the time domain using the tangent stiffness incremental approach combined with the Wilson-theta numerical integration algorithm. Computational efficiency is improved via a compact `profile storage' technique, used for the assembly of element matrices, given by \textit{R. L. Taylor} [Computer procedures for finite element analysis, in The Finite Element Method (Ed. by O. C. Zienkiewicz), 3rd Ed. (1977; Zbl 0435.73072)]. Consideration is also given to natural periods and mode shapes for small oscillations about the static equilibrium position of the riser. Comparison of results with experimental values, analytical solutions and independent results from the published literature show very good agreement.
- Cranfield University United Kingdom
Numerical computation of eigenvalues and eigenvectors of matrices, flexible risers, Morison equation, fluid loading, Wilson-theta numerical integration algorithm, lumped mass discretization method, mode shapes, Nodal shear forces, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Vibrations in dynamical problems in solid mechanics, Other matrix algorithms, sea bed contact for catenary risers, equations of motion, Nonlinear equations, Other numerical methods in solid mechanics, bending moments, natural periods, three dimensional space, Thin bodies, structures, compact profile storage technique, small oscillations, tangent stiffness incremental approach
Numerical computation of eigenvalues and eigenvectors of matrices, flexible risers, Morison equation, fluid loading, Wilson-theta numerical integration algorithm, lumped mass discretization method, mode shapes, Nodal shear forces, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Vibrations in dynamical problems in solid mechanics, Other matrix algorithms, sea bed contact for catenary risers, equations of motion, Nonlinear equations, Other numerical methods in solid mechanics, bending moments, natural periods, three dimensional space, Thin bodies, structures, compact profile storage technique, small oscillations, tangent stiffness incremental approach
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