Three-dimensional stochastic free vibration of the tire using generalized polynomial chaos expansion method
* Presenting author
In this paper, an analysis model of the three-dimensional stochastic free vibration of the tire using the generalized polynomial chaos (gPC) expansion method is given, and the model was applied to the stochastic vibration analysis of a radial tire. Considering the displacement model of the in-plane and out-of-plane bend and the out-of-plane torsion, the three-dimensional rings on elastic foundation (REF) model and the dynamic equations are given. Based on the REF tire model, the stochastic analysis under the uncertainties in geometrical parameters elasticity moduli and internal pressure is investigated. The uncertain geometrical and structural parameters of the tire are approximated by the truncated gPC expansions. The constructed gPC expansions for the uncertain parameters are used as inputs to a deterministic tire model to analyze the random natural frequencies of the tire. The probability density function (PDF) of the random natural frequencies derived from the PC expansion has reasonable accuracy in respect to the MC simulation.