Reduced-Order Model for the Nonlinear Dynamics of Cables

Abstract

Formulation of governing equations for an elastic cable have a long and dated history. A unified framework to detect the dynamics of such systems is detailed, justified, and assessed numerically. Modal analyses are performed in the Frenet basis, which describes the motion in the local frame and accounts accurately for the system’s physics. In this article, a methodology to produce arbitrary reduced-order models for cable nonlinear dynamics is provided. The results obtained from the latter via direct time integration are challenged numerically via a comparison with results of the nonlinear finite-element method.