BRODA, D., 2016. Generation of higher harmonics in longitudinal vibration of beams with breathing cracks. Journal of Sound and Vibration, 381, pp. 206-219.
Classical nonlinear vibration methods used for structural damage detection are often
based on higher- and sub-harmonic generation. However, nonlinearities arising from sources other than damage – e.g. boundary conditions or a measurement chain – are a primary concern in these methods. This paper focuses on localisation of damage-related nonlinearities based on higher harmonic generation. Numerical and experimental investigations in longitudinal vibration of beams with breathing cracks are presented. Numerical modelling is performed using a two-dimensional finite element approach. Different crack depths, locations and boundary conditions are investigated. The results demonstrate that nonlinearities in cracked beams are particularly strong in the vicinity of damage, allowing not only for damage localisation but also for separation of crack induced nonlinearity from other sources of nonlinearities.
This paper was accepted for publication in the journal Journal of Sound and Vibration and the definitive published version is available at http://dx.doi.org/10.1016/j.jsv.2016.06.025.
The work presented in this paper was supported by The Foundation for Polish Science under the research WELCOME
Project no.2010-3/2. Theprogram operated within The Innovative Economy Operational Programme 2007–2013.