This paper investigates the random dynamic response of a spur gear pair subjected to harmonic and white noise excitations. Periodic mesh stiffness and backlash are considered in the model. The backlash is simplified as soft cubic nonlinearity. Numerical path integration is applied to capture the evolution of the joint probability density of the displacement and velocity response. The short-time transition probability density is approximated as Gaussian distribution. Gaussian closure procedure is employed to obtain the mean and variance. The random response phenomenon of a gear pair with backlash nonlinearity and periodic stiffness are compared with deterministic case to illustrate the validity of path integration.

This content is only available via PDF.
You do not currently have access to this content.