Abstract

This paper investigates the dynamic response of a circularly towed cable-body system with fluid drag loading. The system model includes non-linear steady state equations and linear vibrational equations about steady state. The steady state equations are linearized using Galerkin's method. Numerical results show the existence of multiple steady state solutions for fluid drag, large end mass, or high rotation speed. Divergently unstable solutions lead to jump phenomena. High rotation speed causes Hopf bifurcations and second mode flutter for small point mass radius or third mode flutter for a large point radius. Generally, increasing drag increases the stable regions. Stable single-valued solutions always exist for sufficiently low rotation speed.

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