Damage detection in structures through nonlinear excitation and system identification
2008
Variations in parameters representing natural frequency, damping and effective nonlinearities before and after
damage initiation in a beam carrying a lumped mass are assessed. The identification of these parameters is
performed by exploiting and modeling nonlinear behavior of the beam-mass system and matching an approximate
solution of the representative model with quantities obtained from spectral analysis of measured vibrations. The
representative model and identified coefficients are validated through comparison of measured and predicted
responses. Percentage variations of the identified parameters before and after damage initiation are determined
to establish their sensitivities to the state of damage of the beam. The results show that damping and effective
nonlinearity parameters are more sensitive to damage initiation than the system's natural frequency. Moreover,
the sensitivity of nonlinear parameters to damage is better established using a physically-derived parameter
rather than spectral amplitudes of harmonic components.
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