Faults detection of a single cracked beam by theoretical and experimental analysis using vibration signatures

In this work, fault detection in a single cracked beam has been worked out.The identification of location and the depth of crack in a beam containing single transverse crack is done through theoretical and experimental analysis respectively.It has come to noticed that a crack in a beam has great effect on dynamic behavior of beam.The strain energy density function also applied to examine the few more flexibility produced to because of the presence of crack.Considering the flexibility an additional stiffness matrix is taken away and consequently, it is used to find the natural frequency and mode shape of the cracked beam of different end conditions of beam.The difference of mode shapes of cantilever beam, simply supported beam and Clamped -Clamped beam in between the first three modes of cracked and un-cracked respectively beam with its amplified view at the zone of the crack locale are studied.The theoretical analyses are carried out of the crack structure.Finally for the validation result are compared with the results of both theoretical and experimental analysis.It is found that the contract agreed between their results is excellent.