The author discuss a postulate that the intensity of nonlinear effects increases during a machine's operating time, and tries to look for a measure defining the deviation from the linear model. For this purpose he uses the signal-model relationship, which assumes that nonlinear phenomena are so weak, that it is possible to accept additive nonlinear "correction" to the linear model. The author is analyzing the problem of expansion of defects when the initial state of an object is described with sufficient precision by linear model and during wear and tear process the nonlinear effects increase. A method of solving the diagnostic task by using the amplitudes of nonlinear resonances (or another nonlinear effects) as a symptom is proposed. The first part of the paper is the proposal of model description. The second task is the identification problem and the example of modeling of the non-coaxiality errors as unknown nonlinear functions.
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