Inverse thermoelastic analysis for thermal and mechanical loads identification using FBG data

Toshiya Nakamura, Yukihiro Kamimura, Hirotaka Igawa, Yoshiki Morino

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    Fiber Bragg Grating (FBG) sensors have widely been used to monitor temperature and strain distributions as a part of the structural health monitoring system. Since FBG has the sensitivity to the variations in both temperature and strain, a compensation is required to separate the strain or temperature data from the sensor output which is the shift of the grating's Bragg wavelength. The present study develops a computational inverse thermoelastic analysis method to separately identify the thermal and mechanical boundary conditions (loads) from the output of the FBG sensor. Numerical study has been made for a corrugate-core sandwich integral thermal protection system (TPS) to examine the method. The discussion is focused on the computational stability. The results reveal that the identification of the mechanical load is less stable than that of the heat flux. It is also shown that the condition number of a coefficient matrix serves as the index of the stability of the inverse analysis.

    Original languageEnglish
    Title of host publication10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014
    PublisherAmerican Institute of Physics Inc.
    Pages707-713
    Number of pages7
    Volume1637
    ISBN (Electronic)9780735412767
    DOIs
    Publication statusPublished - 2014 Dec 10
    Event10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014 - Narvik, Norway
    Duration: 2014 Jul 152014 Jul 18

    Other

    Other10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014
    CountryNorway
    CityNarvik
    Period14/7/1514/7/18

    Fingerprint

    Bragg gratings
    fibers
    sensors
    thermal protection
    structural health monitoring
    strain distribution
    output
    heat flux
    temperature distribution
    boundary conditions
    temperature
    sensitivity
    shift
    coefficients
    wavelengths

    Keywords

    • FBG
    • Integrated Thermal Protection System
    • Inverse Analysis
    • Load Identification
    • Thermoelasticity

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Nakamura, T., Kamimura, Y., Igawa, H., & Morino, Y. (2014). Inverse thermoelastic analysis for thermal and mechanical loads identification using FBG data. In 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014 (Vol. 1637, pp. 707-713). American Institute of Physics Inc.. https://doi.org/10.1063/1.4904642

    Inverse thermoelastic analysis for thermal and mechanical loads identification using FBG data. / Nakamura, Toshiya; Kamimura, Yukihiro; Igawa, Hirotaka; Morino, Yoshiki.

    10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014. Vol. 1637 American Institute of Physics Inc., 2014. p. 707-713.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Nakamura, T, Kamimura, Y, Igawa, H & Morino, Y 2014, Inverse thermoelastic analysis for thermal and mechanical loads identification using FBG data. in 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014. vol. 1637, American Institute of Physics Inc., pp. 707-713, 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014, Narvik, Norway, 14/7/15. https://doi.org/10.1063/1.4904642
    Nakamura T, Kamimura Y, Igawa H, Morino Y. Inverse thermoelastic analysis for thermal and mechanical loads identification using FBG data. In 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014. Vol. 1637. American Institute of Physics Inc. 2014. p. 707-713 https://doi.org/10.1063/1.4904642
    Nakamura, Toshiya ; Kamimura, Yukihiro ; Igawa, Hirotaka ; Morino, Yoshiki. / Inverse thermoelastic analysis for thermal and mechanical loads identification using FBG data. 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014. Vol. 1637 American Institute of Physics Inc., 2014. pp. 707-713
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    AB - Fiber Bragg Grating (FBG) sensors have widely been used to monitor temperature and strain distributions as a part of the structural health monitoring system. Since FBG has the sensitivity to the variations in both temperature and strain, a compensation is required to separate the strain or temperature data from the sensor output which is the shift of the grating's Bragg wavelength. The present study develops a computational inverse thermoelastic analysis method to separately identify the thermal and mechanical boundary conditions (loads) from the output of the FBG sensor. Numerical study has been made for a corrugate-core sandwich integral thermal protection system (TPS) to examine the method. The discussion is focused on the computational stability. The results reveal that the identification of the mechanical load is less stable than that of the heat flux. It is also shown that the condition number of a coefficient matrix serves as the index of the stability of the inverse analysis.

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