A single degree of freedom model for cracked beam

This paper presents a simplified model of cracked beam by single-degree-of-freedom system. Equivalence between the and SDOF models means that they have same fundamental natural frequency similar response functions (FRFs). Similarity FRFs is checked using frequency-domain assurance criterion acknowledged herein as spectral similarity index (SSI). Finally, both its been examined versus crack location depth so-called damage (SDI). Numerical results show SDI significantly sensitive to could be used novel indicator for detection in measurements functions.