Vibration Analysis of a V-Groove Edged Cracked Cantilever Beam

This paper describes the vibration analysis of a cracked cantilever aluminium beam and analyzes the relation between the modal natural frequencies with crack depth, modal natural frequency with crack location. Also the relation among the crack depth, crack location and natural frequency has been analyzed. Double cracks at different depth and at different location are evaluated. And the analysis reveals a relationship between crack depth and modal natural frequency. As we know when a structure suffers from damage its dynamic property can change and it was observed that crack caused a stiffness reduction with an inherent reduction in modal natural frequencies. Consequently it leads to the change in the dynamic response of the beam. The analysis was performed using CATIA software. Modal natural frequency was found to be increasing with increase in crack depth.