Transient Motion of an Elastic Cable Immersed in a Fluid
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the cable has been replaced by a series of masses mj, attached to weightless elastic links) has again been used as in the original formulation of the problem. This is considered to be the simplest approach, since the method of finite differences, both in space and time dimensions, is used in the solution. Before listing the equations we also restate the generalized conditions which are used as the basis for the formulation of the problem: a. The motion is transient (time-dependent) and takes place in two space dimensions. b. The occurrence of large displacements from the equilibrium configuration of the cable is permitted. c. The cable is elastic. d. The cable is immersed in a fluid, requiring the inclusion of forces due to buoyancy, virtual inertia and drag. e. The extremities of the cable may be at different levels with the cable sagging between the positions of support. Weight of the cable is taken into account. f. Finally, provision is made for nonuniformity of the cable and for the suspension of concentrated loads, such as an anchor, at one or more positions along the
[1] T. Walton,et al. Calculation of transient motion of submerged cables , 1960 .