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

The figure shows that the response probability density functions yielded by HMCSM are included in the interval constrained by the lower and upper bounds of the response probability density function obtained by CVISPM. It indicates that the lower and upper bounds of the response probability density function yielded by CVISPM can be used to determine an interval in which the potential response probability density functions of the hybrid uncertain structural-acoustic system with random and interval variables are included.