A Two-Degree-of-Freedom Model for the Two-Dimensional Dynamic Motions of Suspended Extensible Cable Systems

摘要

A two-degree-of-freedom nonlinear model is presented for the two-dimensional dynamic motions of an extensible suspended cable system. The two degrees of freedom are the stretch and inclination of the cable. The dynamic and drag characteristics of the cable are carefully modeled. The equations of motion are derived by means of the Lagrange equations. The potential and kinetic energies of the cable are obtained by assuming that the cable stretches uniformly. In order to account for ocean wave particle velocities and current profiles which may vary with depth, the cable may be divided into an arbitrary number of segments to calculate normal and tangential drag. The phenomenon of cable slack is also modeled. Numerical results from the program compare favorably with some experimental measurements. (Author)