The Study of Localized Crack-Induced Effects of Nonlinear Vibro-Acoustic Modulation

The nonlinear interaction of longitudinal vibration and ultrasound in beams with cracks is investigated. The central focus is on the localization effect of this interaction, i.e., the locally enhanced nonlinear vibro-acoustic modulation. Both numerical and experimental investigations are undertaken. The finite element (FE) method is used to investigate different crack models, including the bi-linear crack, open crack, and breathing crack. A parametric study is performed considering different crack depths, locations, and boundary conditions in a two-dimensional beam model. The study shows that observed nonlinearities (i.e., nonlinear crack-wave modulations) are particularly strong in the vicinity of the crack, allowing not only for crack localization but also for the separation of the crack-induced nonlinearity from other sources of nonlinearity.

Automated summary

The nonlinear interaction between longitudinal vibration and ultrasound in beams with cracks is studied. The focus is on the localized enhancement effect of this interaction, known as locally enhanced nonlinear vibro-acoustic modulation. Numerical and experimental investigations are conducted, exploring different crack models and considering various parameters such as crack depths, locations, and boundary conditions. The study reveals that strong nonlinearities, indicating nonlinear crack-wave modulations, occur near the crack, allowing for crack localization and differentiation from other sources of nonlinearity.