Interval analysis of uncertain structural systems using random model

The uncertain parameters of the structures are expressed by interval variables, and the governed equations of the structural system are obtained with the finite element method. Then interval analysis is used to model the uncertainty in the static structural analysis and design. After the interval arithmetic integrated with random theory is studied, the confidence interval of structural response is achieved, and the approximate calculation is used with the method of Monte Carlo. Furthermore, comparing the interval variable of the structural response with confidence interval, an analysis method of uncertain structural systems is proposed based on the random model. The presented method can restrain expanding interval, and easy to engineering due to its convenient calculation.