2012/10/23 by Mahdi Heydari, Heydari, M., Alireza Ebrahimi +3
Engineering · #Fatigue and fracture mechanics #Galerkin’s method #Seismic Performance and Analysis #Structural Health Monitoring Techniques #Timoshenko beam #continuous model #cracked beam #vibration analysis
paper · doi:10.24423/aom.849
openalex publication_date 2012/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/01
In this paper, a continuous model for vibration analysis of a beam with an open edge crack including the effects of shear deformation and rotary inertia is presented. A displacement field is suggested for the beam and the strain, and stress fields are calculated. The governing equation of motion for the beam has been obtained using Hamilton’s principle. The equation of motion is solved with a modified Galerkin method and the natural frequencies and mode shapes are obtained. A good agreement has been observed between the results of this research and the results of previous work done in this fiels. The results are also compared to results of a similar model with Euler-Bernoulli assumptions to confirm the advantages of the proposed model in the case of short beams.