AN ANALYTICAL APPROACH FOR OBTAINING THE LOCATION AND DEPTH OF AN ALL-OVER PART-THROUGH CRACK ON EXTERNALLY IN-PLANE LOADED RECTANGULAR PLATE USING VIBRATION ANALYSIS

In this paper, an analytical approach to the crack detection of rectangular plates under uniform external loades by vibration analysis is established. The damage is considered as an all-over part-through crack parallel to one edge of the plate. Avoiding non-linearity, it is assumed that the crack, at all dynamical conditions, is open. In addition, it is assumed that the plate is simply supported at the two parallel sides, and it has arbitrary boundary conditions at the two other edges. The presence of an all-over part-through crack on the plate introduces considerable local flexibility at the location of the crack. This flexibility is modelled by the stress-intensity factor and compliance. Consideration of important parameters, like, location and depth of an all-over part-through crack, geometry and boundary conditions, magnitude of the external loades, and plate mechanical characteristics on the change of natural frequencies of the cracked plate are the first step for establishing the damage detection method. Vibration analysis of the cracked plate with an all-over part-through crack results in an eigenvalue problem, for which, the solution method is established and is carried out. The solution results are presented by the appropriate charts.