Effect of Depth and Location of cracks on the natural

Abstract

Abstract In this work , the influence of the location and depth of transvernce cracks on the natural frequency of cantilever beam was studied. The study of the cracked beam has been carried out theoretically, starting from derivation of equation for the additional strian energy in the presence of a crack .The equation of natural frequency change due to the presence of a crack can also be calculing for cantilever beam . The results showed that the presence of the crack causes a decrease in the values of the natural frequencies of beam as the decrease in the value of natural frequencies of the beam with cracks in the area nearer to the supports, was lesser than in areas away from the supports. Finally, the theroetical results were compared with the experimental results of previous researches, which were in a cloce agreement especially for the behavior of beam curves as function of the crack depth.Key Word : Beam , Crack , Natural Frequency, Depth , Location