Hybrid uncertainty quantification for the multibody system dynamics based on bivariate polynomial dimension reduction

Uncertainty analysis has been gained increasing attention due to indispensable acquirement of robust simulation and reliability evaluation in the life-cycle management of system. Hybrid uncertainty quantification for dynamics of multibody system can provide truthful response prediction and is needed to be explored in depth. In this paper, an efficient hybrid stochastic and interval uncertainty analysis method is proposed for the multibody system dynamic analysis. This novel method is delivered by a combination of bivariate response decomposition and orthogonal polynomial approximation, in which the hybrid uncertain response of system is decomposed into a series of univariate and bivariate responses and orthogonal polynomials are used to approximate associated response with lower computational cost. Numerical examples are illustrated to demonstrate the accuracy and efficiency of the proposed method.