An updated Lagrangian finite element formulation for large displacement dynamic analysis of three-dimensional flexible riser structures

Abstract An updated Lagrangian finite element formulation of a three-dimensional annular section beam element is presented for large displacement and large rotation dynamic analyses of flexible riser structures. In this formulation a new linearization method is used to avoid inaccuracies normally associated with other linearization schemes. The effects of buoyancy force as well as steady state current loading are considered in the finite element solution for riser structures response. The formulation has been implemented in a nonlinear finite element code and the results are compared with those obtained from other schemes reported in the literature.

[1]  Reza Naghdabadi,et al.  Basis free relations for the conjugate stresses of the strains based on the right stretch tensor , 2003 .

[2]  J. F. McNamara,et al.  Practical Modeling for Articulated Risers and Loading Columns , 1984 .

[3]  M. A. Crisfield,et al.  Non‐linear dynamic behaviour of flexible marine pipes and risers , 2002 .

[4]  Carlos A. Felippa,et al.  Nonlinear Static Analysis of Deep Ocean Mining Pipe—Part I: Modeling and Formulation , 1981 .

[5]  J. F. McNamara,et al.  3D Frequency Domain Analysis of Offshore Structures , 1992 .

[6]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[7]  S. M. Calisal,et al.  Analytical and numerical analysis of the dynamics of a marine riser connected to a floating platform , 1997 .

[8]  John Argyris,et al.  Nonlinear finite element analysis of elastic systems under nonconservative loading—natural formulation part II. Dynamic problems , 1981 .

[9]  A. P. Zielinski,et al.  On linearization in non-linear structural finite element analysis , 2001 .

[10]  Carl M. Larsen.  Flexible riser analysis — comparison of results from computer programs , 1992 .

[11]  Klaus-Jürgen Bathe,et al.  A Simple and Effective Pipe Elbow Element—Linear Analysis , 1980 .

[12]  K. Bathe,et al.  FINITE ELEMENT FORMULATIONS FOR LARGE DEFORMATION DYNAMIC ANALYSIS , 1975 .

[13]  S. A. Hosseini Kordkheili,et al.  Non-linear finite element analysis of flexible risers in presence of buoyancy force and seabed interaction boundary condition , 2008 .

[14]  Walter Lacarbonara,et al.  Nonlinear Modeling of Cables with Flexural Stiffness , 2008 .

[15]  J. F. McNamara,et al.  Three-Dimensional Nonlinear Motions of Risers and Offshore Loading Towers , 1988 .

[16]  K. S. Varyani,et al.  Three-dimensional Lump-Mass formulation of a catenary riser with bending, torsion and irregular seabed interaction effect , 2002 .

[17]  Reza Naghdabadi,et al.  A geometrically nonlinear finite element formulation for shells using a particular linearization method , 2008 .

[18]  Clifford Goodman,et al.  American Society of Mechanical Engineers , 1988 .