空间可展开结构区间模型修正方法

传统的模型修正未考虑工程中存在的几何尺寸、材料参数、间隙等不确定性，修正后有限元模型预测精度较低。为提高有限元模型的预测精度，准确预测结构的静动力学特性，对考虑参数不确定性的模型修正进行了研究，提出了一种基于Kriging模型和泛灰数的区间模型修正方法。首先，通过灵敏度分析确定待修正参数，并以修正参数为变量，构造基于Kriging模型的区间响应目标函数；其次，引入泛灰数将区间优化问题转换为区间上限和区间直径两个全局优化问题；然后，利用Kriging模型结合遗传算法给出修正后的参数区间形式；最后，通过该方法对含铰链间隙的某空间可展开结构进行了模型修正。结果表明，修正后参数区间与真实区间重合度较高，修正后结构响应预测区间与实际区间吻合，验证了方法的有效性，为大型空间可展开结构的模型修正提供了一个有效可行的途径。

Interval model updating method for space deployable structure

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.