Most of the research on damage tracking has concentrated on the development of heuristic methods, but none of them can estimate the damage state continuously. In this paper, we focus on damage tracking, particularly the detection and quantification of damage of teeth in reducers and the influence of meshing stiffness on detecting damage. A formulation of an analytical and numerical model of a reducer is proposed into which, it is possible to introduce tooth damage in the gears. Vibratory behavior is analyzed using the wavelet transform. Functional relationships between the feature vector and the damage state are provided at the end of the paper. These functions can be used to perform full tooth damage detection and the model set up can be used to track damage as it occurs and predict its future progression in rotating machines.

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