期刊
OPTICS COMMUNICATIONS
卷 484, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.optcom.2020.126689
关键词
Adaptive Nelder-Mead algorithm; Non-uniform strain distribution; Spectral analysis; Finite element method; Penalty function; Deflection-intensity ratio
类别
资金
- Fund of Aeronautics Science, China [20170252004, 20185644006]
- Shanghai Academy of Spaceflight Technology, China [SAST2018-015]
- Key Research and Development Plan of Jiangsu Province, China-Industrial Foresight and Common Key Technology (Competition Project) [BE2018047]
- Natural Science Research Project of Colleges in Anhui Province, China [KJ2018A0042]
This paper presents an adaptive Nelder-Mead algorithm for inversely reconstructing non-uniform strain fields from fiber grating sensor reflected intensity spectra. Numerical examples and experimental investigations demonstrate the advantages and effectiveness of the algorithm in complex strain distribution reconstruction.
This paper presents an adaptive Nelder-Mead algorithm to inversely reconstruct the non-uniform strain field from the reflected intensity spectrum of the fiber grating sensor. In this algorithm, the standard operating parameters are modified to adapt to the variable strain profiles, and an improved transfer matrix method is adopted to rapidly calculate the reflected intensity spectrum with a high precision. Thus, the performance of high-dimensional optimization involved in the reconstruction of complex strain distributions is significantly improved. Several numerical examples firstly demonstrate the advantages of the proposed algorithm compared with the standard Nelder-Mead algorithm. Then, experimental investigations are conducted on aluminum alloy plates with central circular hole under tensile and bending loading. A penalty function is added to the objective function to meet the constraints of the optimization variables under experimental conditions. The experimental results are compared with the finite element analysis results, which verifies the effectiveness and accuracy of the proposed algorithm. Finally, we provide some insights about the strain distribution and the resulting spectral distortion. Based on the measured spectrum, a spectral feature parameter (slope of the deflection-intensity ratio) is proposed as an indicator to reveal the size of the hole.
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