Pendulation of Pipes and Cables in Water

A finite-difference formulation is given for the transverse motions in a fluid of a heavy, nonuniform, flexible string under variable tension. The resistance (drag) of the fluid is made proportional to the square of the string velocity. The formulation is intended for automatic computation on digital computers. Various end conditions are considered and several numerical results given for heavy pipes and cables in water more than 12,000 ft deep.