In the paper the discrete-continuous model of a single gear transmission with nonlinear forces occurring between gear teeth is studied. It is assumed that gear teeth have nonlinear stiffhess having softening characteristics described by the function. Considerations are performed by means of the wave method which enables to determine nonlinear dynamie loads in steady as well as in transient states. The numerical analysis focuses on the investigation of the effect of the assumed nonlinearities on amplitude-frequency curves for dynamic loads.
In the paper, four nonlinear functions describing forces occurring between the teeth in a single gear transmission are discussed. It is assumed that gear teeth can have characteristics of a soft as well as of a hard type. In the study, a discrete-continuous model consisting of two ponderable shafts torsionally deformed and four rigid bodies is used. Considerations are performed by means of the wave method which enables to determine nonlinear dynamic loads in steady as well as in transient states.
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