On non-linear analysis of the geared drive systems by means of the wave method

In the paper non-linear torsional vibrations of the geared drive systems are investigated. There are considered effects of backlashes in the gear stages, variations of the tooth stiffnesses, wear and manufacture errors of teeth as well as effects of various models of damping application. Considerations are performed using a discrete-continuous mechanical model. An application of the d'Alembert solutions of the wave motion equations leads to an appropriate system of linear and non-linear ordinary differential equations with a ''shifted'' argument. Numerical integration of these equations is very efficient, stable and accurate.