Abstract: The traditional model updating method does not take into consideration the uncertainties existing in engineering, such as geometric size, material parameters and gap error, so the prediction accuracy of the updated finite element model is low. In order to improve the prediction accuracy of the finite element model and accurately predict the static and dynamic characteristics of the structure, the model updating method considering the uncertainty of parameters was studied, and an interval model updating method based on Kriging model and universal grey number was proposed. Firstly, the parameters to be updated were determined by sensitivity analysis. Secondly, the interval response objective function based on the Kriging model was constructed with the updated parameters as variables, and the universal grey number was introduced to convert the interval response objective function into two objective functions of the upper limit of the interval and the diameter of the interval. Thirdly,the Kriging model combined with the genetic algorithm was used to give the updated parameter interval. Finally, the proposed method was used to update the model of a space deployable structure with hinge gap. The results show that the parameter interval obtained by the proposed method has a high degree of coincidence with the true interval, and the modified structural response interval is consistent with the true interval, which verifies the effectiveness of the proposed method. The research results provide an effective and feasible way for model updating of large space deployable structures.

Key words: space deployable structure, interval model updating, Kriging model, universal grey number, gap