Stochastic Finite Element for Nonlinear Vibration

When material property geometry parameters and applied loads of structure are assumed to be stochastic, four methods of nonlinear vibration are proposed. The Newton method is applied to nonlinear vibration. Taylor expansion is used to analyze nonlinear vibration. The perturbation technology is proposed to compute nonlinear vibration. A modified iteration formula by the homotopy perturbation method is presented to analyze nonlinear vibration.

Keywords: A modified iteration formula, Nonlinear vibration, The Newton method, Taylor expansion, The perturbation technology.