On the use of Volterra series for modelling of nonlinear self-excited forces

In the following work, three different versions of the Volterra series models have been presented and evaluated for the modelling of nonlinear self-excited forces on bridge decks. Experimental data of a twin deck section model tested in a forced vibration rig has been used to evaluate the models' performance. Self-excited drag force from pitching is studied, and the models are evaluated considering accuracy, computational effort, and robustness. All three models performed sufficient for modelling of the self-excited forces, but the Laguerre model and the regularized model both had their strong points of computational effort and robustness compared to the pure least-squares model.