Tikhonov正则化
复合数
正规化(语言学)
反问题
壳体(结构)
反向
结构工程
摄动(天文学)
应用数学
数学
计算机科学
算法
材料科学
工程类
数学分析
物理
几何学
复合材料
人工智能
量子力学
作者
Linjun Wang,Yang Liu,Youxiang Xie,Baojia Chen
标识
DOI:10.1007/s00419-022-02116-2
摘要
Based on augmented Tikhonov regularization (ATR) method and matrix perturbation method, a new computational inverse method is proposed to reconstruct impact loads acting on composite laminated cylindrical shell with random characteristics. Firstly, the stability and effectiveness of augmented Tikhonov regularization method are investigated in solving deterministic inverse problem about impact load identification of composite laminated cylindrical shell structure. Secondly, exploiting the matrix perturbation method, the impact load identification of composite laminated cylindrical shell structure with uncertain factors is transformed into a range of traditional impact load identification with deterministic structure. Lastly, using the knowledge of statistical theory, the statistical features of identified impact force are also analyzed. Numerical simulations validate that the proposed algorithm in this paper successfully solves the impact load identification of composite laminated cylindrical shell with and without random characteristics.
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