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.
Random Vibration Response of a Spur Gear Pair With Periodic Stiffness and Backlash
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Wen, Y, Yang, J, & Yang, P. "Random Vibration Response of a Spur Gear Pair With Periodic Stiffness and Backlash." Proceedings of the ASME 2013 International Mechanical Engineering Congress and Exposition. Volume 4B: Dynamics, Vibration and Control. San Diego, California, USA. November 15–21, 2013. V04BT04A012. ASME. https://doi.org/10.1115/IMECE2013-62996
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