Analytical methods for predicting the response of marine risers, communicated by W.T. Koiter

A Marine riser, which links a floating oil or gas production system to a sea-bed manifold, can be modelled as a tensioned beam, the hydrodynamic transverse forces being described by the relative velocity form of Morison's equation. To analyse the response of the riser to random waves and floater motions, a number of characteristic regions has been identified along the riser. For each of these regions, the riser differential equation is reduced to an approximate form and analytical solutions, in terms of known time- and position-dependent functions, are given. The solutions hold asymptotically for slender (tension-dominated) risers in deep water and compare favourably with numerical results for a typical rise