A 2D Hopfield Neural Network approach to mechanical beam damage detection

The aim of this paper is to present a method based on a 2D Hopfield Neural Network for online damage detection in beams subjected to external forces. The underlying idea of the method is that a significant change in the beam model parameters can be taken as a sign of damage occurrence in the structural system. In this way, damage detection can be associated to an identification problem. More concretely, a 2D Hopfield Neural Network uses information about the way the beam vibrates and the external forces that are applied to it to obtain time-evolving estimates of the beam parameters at the different beam points. The neural network organizes its input information based on the Euler–Bernoulli model for beam vibrations. Its performance is tested with vibration data generated by means of a different model, namely Timonshenko’s, in order to produce more realistic simulation conditions.