A piecewise constant level set method for damage identification of continuum structures based on natural frequencies

被引:9
|
作者
Zhang, Zhengfang [1 ]
Dai, Xiaoxia [2 ]
Chen, Weifeng [3 ]
机构
[1] Hangzhou Dianzi Univ, Coll Sci, Hangzhou 310018, Zhejiang, Peoples R China
[2] Zhejiang Univ City Coll, Sch Comp Sci, Hangzhou 310015, Zhejiang, Peoples R China
[3] Zhejiang Univ Finance & Econ, Sch Informat, Hangzhou 310018, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Piecewise constant level set method; Linearized elasticity system; Sensitivity analysis; Restarted conjugate gradient algorithm; Inverse eigenvalue problem; TOPOLOGY OPTIMIZATION; COEFFICIENTS; SHAPE;
D O I
10.1007/s00158-019-02336-1
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The damage identification of continuum structures from the observation of its natural frequencies is investigated. The piecewise constant level set (PCLS) method is applied to represent the shape and topology of the damaged region. The functional derivative of the objective function with respect to PCLS function is derived with the application of the continuum sensitivity analysis. A regularized restarted conjugate gradient algorithm is proposed. Identifications of single and multiple damaged regions in 2D cantilever structures are discussed, illustrating the validity of the proposed algorithm.
引用
收藏
页码:2477 / 2491
页数:15
相关论文
共 50 条
  • [41] New Implementation of Piecewise Constant Level Set for Micrographic Image Segmentation
    Ramou, N.
    Chetih, N.
    Boutiche, Y.
    Halimi, M.
    PROCEEDINGS OF 2018 INTERNATIONAL CONFERENCE ON COMPUTING AND PATTERN RECOGNITION (ICCPR 2018), 2018, : 102 - 105
  • [42] Topology optimization of steady Navier-Stokes flow via a piecewise constant level set method
    Dai, Xiaoxia
    Zhang, Chengwei
    Zhang, Ye
    Gulliksson, Marten
    STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2018, 57 (06) : 2193 - 2203
  • [43] Shape and topology optimization for elliptic boundary value problems using a piecewise constant level set method
    Zhu, Shengfeng
    Wu, Qingbiao
    Liu, Chunxiao
    APPLIED NUMERICAL MATHEMATICS, 2011, 61 (06) : 752 - 767
  • [44] Topology optimization of steady Navier-Stokes flow via a piecewise constant level set method
    Xiaoxia Dai
    Chengwei Zhang
    Ye Zhang
    Mårten Gulliksson
    Structural and Multidisciplinary Optimization, 2018, 57 : 2193 - 2203
  • [45] Evolutionary topological optimization of vibrating continuum structures for natural frequencies
    Huang, X.
    Zuo, Z. H.
    Xie, Y. M.
    COMPUTERS & STRUCTURES, 2010, 88 (5-6) : 357 - 364
  • [46] Topological shape optimization design of continuum structures via an effective level set method
    Li, Hao
    Gao, Liang
    Xiao, Mi
    Gao, Jie
    Chen, He
    Zhang, Fan
    COGENT ENGINEERING, 2016, 3 (01):
  • [47] A level set method for shape and topology optimization of both structure and support of continuum structures
    Xia, Qi
    Wang, Michael Yu
    Shi, Tielin
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2014, 272 : 340 - 353
  • [48] On piecewise constant level-set (PCLS) methods for the identification of discontinuous parameters in ill-posed problems
    De Cezaro, A.
    Leitao, A.
    Tai, X-C
    INVERSE PROBLEMS, 2013, 29 (01)
  • [49] An approach based on level set method for void identification of continuum structure with time-domain dynamic response
    Zhang, Lixuan
    Yang, Gang
    Hu, Dean
    Han, Xu
    APPLIED MATHEMATICAL MODELLING, 2019, 75 : 446 - 480
  • [50] Damage assessment in periodic structures from measured natural frequencies by a sensitivity and transfer matrix-based method
    Zhu, HP
    Li, L
    Wang, DS
    STRUCTURAL ENGINEERING AND MECHANICS, 2003, 16 (01) : 17 - 34