In this paper using the simply supported undamaged and damage beam analyzed under the free vibration with accelerometer device measure the acceleration. After Study the performed on the behavior of simply supported beam by using finite element analysis computer package known as “Abaqus” from the theoretical and practical points of view. Similar problem is also validating with numerically using wavelet transform method. The process of work in progress analysis on the experimental investigations of the consequences of cracks and damages on the integrity of structures, with a read to detect, quantify, and confirm their extents and locations. Damage is predicted in terms of the change in frequency. The results shows, both the experimental literature results and FE analysis results shows in good agreement. The damage detection schemes employed in this study trusted the measured changes within the first to third natural frequencies and also the corresponding amplitude of the measured acceleration frequency response function. Validation of modeling procedure and analysis is done by solving problems reported in standard literature.