Multi-cracks identification based on the nonlinear vibration response of beams subjected to moving harmonic load

Abstract

Abstract. The aim of this work is to investigate the nonlinear forced vibration of beams containing an arbitrary number of cracks and to perform a multi-crack identification procedure based on the obtained signals.Cracks are assumed to be open and modelled trough rotational springs linking two adjacent sub-beams. Forced vibration analysis is performed by a developed time differential quadrature method. The obtained nonlinear vibration responses are analyzed by Huang Hilbert Transform. The instantaneous frequency is used as damage vibration responses are analyzed by Huang Hilbert Transform. The instantaneous frequency is used as damage index tool for cracks detection.

Approximate analytical solution of buckling of multi-damaged column-like structures using a continuous diffused crack model by variational iteration method

“…When the length of the stiffness reduction zone is relatively small compared with the total span of the beam, the discrete spring crack model and the singularity model is acceptable, since the stiffness reduction near the crack is neglected [17]. Besides, it is inconvenient to relate the crack depth to the stiffness of the rotational spring directly [18].…”

Study of Multi-Cracked Cantilever Composite Beams Subjected to External Moving Load

“…The dynamic behaviour of the composite cracked beams under the moving loads is one of the most important issues for researchers. chouiyakh et al [1] developed the numerical method to study nonlinear response of multi-cracked beams subjected to moving load. The numerical method based on the differential quadrature was used to crack identification.…”