A static three-dimensional analytical method for drilling risers exper
iencing large displacements and slip at the top joint is presented. Th
e riser is described in cylindrical coordinates as a three-dimensional
tensioned string, without bending or torsional stiffness. The vertica
l vessel displacement is not taken into account. The equilibrium confi
guration is obtained from the stationary condition of the total potent
ial energy functional. Kinematic boundary conditions are introduced fo
r the radial displacement only. The riser orientation at the top direc
tly follows from the natural boundary conditions based on the variatio
nal treatment of the energy functional. Copyright (C) 1997 Elsevier Sc
ience Ltd.