Dynamical modelling and analysis of aeolian vibrations of single conductors

Abstract

A dynamical model is presented for aeolian vibrations of single conductors. The exciting nonlinear forces acting on the conductor is deduced from known experimental data of a circular rigid cylinder mounted on an elastic suspension and oscillating transversally in a flowing fluid. The extrapolation from the rigid cylinder to the flexible structure leads to a nonlinear boundary value problem. Stability conditions and solution behaviour are studied by perturbation techniques. The finite difference method is applied to integrate the mathematical model. The model is able to predict the amplitudes of steady-state motion (limit-cycles) in any mode of vibration of the conductor.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>