On the Vibrational Characteristics of a Moving Wire via the KBM Asymptotic Method

The aim of this paper is to comprehensively study how continuous action factors influence the nature of changes in the amplitude and frequency oscillations in one-dimensional nonlinear elastic systems characterized by longitudinal motion. For a wire moving along its axis, the interdependence of amplitude and frequency of oscillation was considered in both resonant and non-resonant cases. The influence of the roller vibrations on the character of the frequency response of oscillatory processes is determined. The influence of the method when fixing the ends on the frequency response is analyzed. Based on the theoretical results of the experimental study, practical recommendations are proposed. A full-scale experiment was carried out to improve the operation of a machine for rewinding wire from non-ferrous and precious materials, and a comparison was made with the theoretical results.