The invention relates to a detection method for the quick
estimation based on the inherent frequency of a damaged beam. The method comprises the steps: proposing an
estimation formula for estimating the inherent frequency of a structure through the inherent frequency of a good beam structure and a vibration model by employing the Rayleigh quotient during a single damage or multiple damages according to the theory of
fracture mechanics; just employing the inherent frequency
estimation formula to complete the building of a
relation database of the inherent frequency of the damaged beam, the position of the single damage, the positions of the damages and the damage degree, and completing the direct problem solving based on a model; employing an exciting hammer shock excitation
modal experiment to obtain the inherent frequency of an actual damaged beam structure as the input, solving the
relation database through a back-propagating neural
network method, and quantitatively detecting the damage position and degree of the beam structure. The method solves a problem that a conventional damaged beam structure detection method based on a model is complex in calculation of the inherent frequency of the damaged beam structure, quickly gives the
relation database of the inherent frequency of the damaged beam, the position of the single damage, the positions of the damages and the damage degree, and brings great convenience to the detection of the damaged beam
structure based on the model.