Analysis on Crack Identification of an Elastic Cantilever Beam by Harmonic Response

According to the problem of crack damage in the elastic cantilever beam, a damage identification method of cracked beam was discussed by harmonic response. Combined with the elastic continuum beam dynamics and the finite element method, the forced vibration equation of the cracked beam was set up. Then several finite element models of the cantilever beam with V type crack were constructed, and the harmonic response analysis were carried out through acting external force on the models to discuss the relation of the crack parameters and the harmonic response. The impacts of loading position on the response magnitude were also discussed in the end. Results indicate that the impacts of crack depth, crack position, crack number and loading position on the change law of harmonic response are obvious, and it provides a new idea for crack identification of cantilever beam.