Analysis of multiple frequency excitations of a cracked beam using nonlinear vibrations

Main Article Content

Mohammad Amin Motamedi
Saied Irani

Abstract

In this study, under harmonic multiple frequency excitations, the dynamic response of a cracked cantilever beam is investigated. The breathing crack model is assumed to show the nonlinear behaviour of a transverse crack. The first mode of vibration and the single degree freedom lumped system is considered to simplify the case study. Because of applying the multiple frequency excitations, the analysis is applied in a combinational resonance. Multiple time scales method is employed to solve the motion equation of the crack, and the nonlinear vibrational responses are obtained. Then, by changing the crack parameters and frequency of the excitations, the different dynamic responses of the crack are demonstrated. The proposed model shows that the crack parameters analysis in nonlinear vibration of multiple excitations could be an appropriate method to recognise the crack and the depth of the damage. Results indicate that the beam analysis under multiple frequency excitations is more sensitive than the single frequency excitation to illustrate the impacts of the crack parameters on its vibrational nonlinearity responses.

Article Details

How to Cite
Motamedi, M. A., & Irani, S. . (2020). Analysis of multiple frequency excitations of a cracked beam using nonlinear vibrations. International Journal of Advanced Engineering, Sciences and Applications, 1(1), 1-10. https://doi.org/10.47346/ijaesa.v1i1.16
Section
Articles