Research on geometric features of phase diagram and crack identification of cantilever beam with breathing crack

Geometric features of the phase diagram of a cantilever beam with a breathing crack are investigated. Influences of crack properties on the phase diagram geometry are studied and a method for crack identification based on phase diagram features is proposed. The pixel method is used to estimate different phase diagram areas. Multiple crack identification indexes are defined under the conditions of primary and super-harmonic resonance. The effects of crack location and depth on each index are analyzed. The contour lines for multiple identification indexes are used to estimate crack parameters. Numerical calculations indicate that the phase diagrams for super-harmonic resonance are more sensitive to crack parameters and that the proposed method is both feasible and effective.