采用基于 Chebyshev 多项式和区间重叠率的区间模型修正方法对对接圆柱壳结构进行了模型修正研究. 首先, 通过模态试验获取了结构固有频率, 运用核密度估计法得到了固有频率的区间范围; 然后, 采用薄层单元法模拟螺栓连接部件, 建立了对接圆柱壳结构的有限元模型, 分析了结构的模态特性; 之后, 采用确定性模型修正方法修正了圆柱壳和法兰的材料参数; 最后, 选择基于 Chebyshev 多项式和区间重叠率的区间模型修正方法对薄层单元中的不确定性参数进行了修正. 研究结果表明: 修正后参数区间上界和下界的误差满足工程精度要求, 修正后输出空间与试验输出空间吻合良好, 验证了所用区间模型修正方法的可行性和有效性.

An interval model updating method based on Chebyshev polynomials and the interval overlap ratio is used to study the model updating of a butted cylindrical shell structure. First, the natural frequencies of the structure are obtained through modal test, and the interval ranges of the natural frequencies are determined using the kernel density estimation method. The thin-layer element method is next used to simulate the boltconnected components, and a finite element model of the butted cylindrical shell structure is established to analyze the modal characteristics of the structure. A deterministic model updating method is then employed to update the material parameters of the cylindrical shell and flange. Finally, an interval model updating method based on the Chebyshev polynomials and the interval overlap ratio is used to update the uncertain parameters in the thin-layer elements. Results show that the errors in the upper and lower bounds of the updated parameter intervals satisfy engineering accuracy requirements. The updated output space aligns well with the experimental output space, confirming the feasibility and effectiveness of the interval model updating method.