Effect of crack on natural frequency for beam type of structures

Abstract

Detection of damage in early stages reduces chances of sudden failure of that structure which is important from safety and economic point of view. Crack or damage affects dynamic behavior of structure. In last few decades many researchers have been developing different approaches to detect the damage based on its dynamic behavior. This paper focuses on effect on natural frequency of cantilever beam due to the presence of crack at different locations and with different depths. Cantilever beam is selected for analysis because these beams are most common structures used in many industrial applications. In the present study, modeling of healthy and damaged cantilever beam is done using ANSYS© software. Crack at 38 different locations with 1 mm, 2 mm and 3 mm crack depth were created for each of these locations. The effect of these cracks on natural frequency were analyzed over the healthy beam for the first four mode shapes. It is found that the presence of crack decreases the natural frequency of the beam and at some particular locations, the natural frequency of the cracked beam is found to be almost the same as that of the healthy beam.Detection of damage in early stages reduces chances of sudden failure of that structure which is important from safety and economic point of view. Crack or damage affects dynamic behavior of structure. In last few decades many researchers have been developing different approaches to detect the damage based on its dynamic behavior. This paper focuses on effect on natural frequency of cantilever beam due to the presence of crack at different locations and with different depths. Cantilever beam is selected for analysis because these beams are most common structures used in many industrial applications. In the present study, modeling of healthy and damaged cantilever beam is done using ANSYS© software. Crack at 38 different locations with 1 mm, 2 mm and 3 mm crack depth were created for each of these locations. The effect of these cracks on natural frequency were analyzed over the healthy beam for the first four mode shapes. It is found that the presence of crack decreases the natural frequency of the beam an...