Wind-induced nonlinear oscillations of cables by Volterra approach

The nonlinear random oscillations of a cable induced by a turbulent wind are investigated proponing a two degree-of-freedom model, with quadratic-cubic nonlinearities and parametric excitation terms arising from geometric and aerodynamic effects. The solution is developed in the frequency domain through the Volterra series expansion technique. The power spectral density function and the probability density function of the cable response are determined. The comparison with Monte-Carlo numerical results points out an excellent convergence of the proposed procedure