A Method for Static Interval Analysis of Uncertain Structures with Interval Parameters

By representing the uncertain parameters as interval numbers, the static linear interval equations about the structural system were obtained in this paper by means of the finite element method. These equations are linear interval equations, for which some solution methods were discussed and a step-dividing method was presented. In this method, the independent uncertain parameters were given the discrete values within each interval, and the linear interval equations were changed into the corresponding certain ones. And then the boundaries of every interval solution components are determined by searching for the maximum and minimum values of the equation solutions. Some mathematical examples were used to examine the correctness and efficiency of the algorithm and which was applied to static interval analysis of engineering problems. Compared with other methods, the calculation results show that the algorithm of this paper is efficient and accurate.