An interval method for updating uncertain FE models

In this work a new method for updating FE models with uncertain parameters is proposed and called Interval Intersection Method. The method is based on the concepts of interval analysis, exploits the nature of interval numbers, that can be seen as both uncertain quantities and special kind of sets, and develops according to the fundamental property of interval computations, that is the inclusion property. Intervals are used to represent the uncertain parameters of FE models, to compute the uncertain system behaviour in the modal space and to compare the numerical and experimental uncertain responses in a proper interval space by using set intersection. The proposed method is validated by comparing the solution with that of the Hansen method according to a sample mechanical system.