Change-of-variable interval stochastic perturbation method for hybrid uncertain structural-acoustic systems with random and interval variables

Abstract

The response analysis from hybrid uncertain structural-acoustic systems with random and interval variables (HUSAS) plays an important role in the optimal design of structural-acoustic systems. In this work, a hybrid uncertain numerical method known as the change-of-variable interval stochastic perturbation method (CVISPM) is proposed to predict the interval of the response probability density function and the response confidence interval of a HUSAS. This method is based on perturbation analysis and the change-of-variable technique. In the proposed method, the response of a HUSAS is approximated as a linear function of random variables using the stochastic perturbation analysis. According to the approximated linear relationships between the response and the random variables, the change-of-variable technique is introduced to calculate the response probability density function. Based on the response probability density function, the interval perturbation approach is used to predict the interval of the response probability density function and the response confidence interval. A numerical example of a shell structural-acoustic system with random and interval variables was employed to verify the effectiveness and precision of the proposed method.