Static Behavior of a Pipe String Designed for Mining Manganese Nodules

Abstract

On the basis of linear beam theory, the static behaviour of a pipe string designed for mining manganese nodules is formulated as a singularly perturbed boundary-value problem. This problem is analysed by the method of matched asymptotic expansions and Galerkin's method. Static pipe deflections and bending moments are evaluated for the practical range of the towing speed of a ship. The pipe deflections obtained by Galerkin's method agree well with those obtained by the method of matched asymptotic expansions. However, it is found that Galerkin's method with the beam function is not effective in evaluating bending moments of the pipe string.