Transient Response Analysis in a Cylindrical Viscoelastic Waveguide Using a Nonlinear Model

Abstract

AbstractThe purpose of this paper is to establish a platform for calculating the time-transient response of waveguide for propagating acoustic emission (AE) signal using a semi-analytical finite element (SAFE) method. The time-transient response analysis is carried out in the frequency domain, which combines the Fourier transform and Cauchy residue theorem. For the numerical investigation, an axisymmetric SAFE method simulates the AE signal propagating in infinitely long, high-strength steel wire with a diameter of 5 mm. The time-dependent load used in the numerical investigation for analyzing time-transient response is narrowband excitation. A nonlinear model for transient response analysis is developed to consider the contact state and friction effects of the surrounding steel wires in the multi-wire environment. A nonlinear device consisting of contact springs and friction type dampers is considered to account for the contact state and friction effects of the surrounding steel wires. The investigations are carried out with a single set of nonlinear devices, under various stiffness values and preload conditions to understand the response characteristics. The proposed nonlinear model for analyzing the preload condition in the axisymmetric viscoelastic waveguide showed a possible way for guided wave propagation-based health monitoring applications for prestressed bridge cables and overhead transmission line conductors.KeywordsGuided wave propagationCylindrical waveguideNonlinear model