Abstract

The objective of this paper is to perform free vibration analysis of a cracked cantilever and to analyze the relation between the modal natural frequency with crack depth, modal natural frequency with crack location. Also the relation among the crack depth, crack location and natural frequency has been analyzed. Only single cracks at different depths and at different locations 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 cracks 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 ALGOR software. Modal natural frequency was found to be decreasing with increases in crack depth. And the same was found to be increasing with increases in crack location from the fixed end.

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