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Mechanics of Composite Materials
Erschienen in: Mechanics of Composite Materials 4/2018

18.09.2018

Mathematical Model for Diagnosing Strains by an Optical Fiber Sensor with a Distributed Bragg Grating According to the Solution of a Fredholm Integral Equation

verfasst von: A. A. Pan’kov

Erschienen in: Mechanics of Composite Materials | Ausgabe 4/2018

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Abstract

A mathematical model for the diagnostics of strain distribution along a optical fiber sensor (light guide) with a base distributed weakly reflecting fiber Bragg grating is developed. In the initial, undeformed state, the base Bragg grating has a constant period along the light guide. The base uniform Bragg grating is transformed to a nonuniform one as a result of emergence of nonuniform axial strains along the light guide. These changes in the period of Bragg grating lead to corresponding informative changes in reflection coefficients for various lengths of the waves entering into the optical fiber. As a result, the problem on finding the required density distribution function of axial strains along the optical fiber is reduced to solution of the Fredholm integral equation of the 1st kind by using the measured values of derivatives of reflection coefficients at the exit of the light guide. The results of numerical modeling of the spectra of coefficients of reflection from the nonuniform deformed Bragg grating are presented for various model and real distribution laws of diagnosed strains along the light guide.
Vorheriger Artikel Refined Model of the Dynamic Behavior of Flexible Reinforced Shallow Shells Made from Nonlinear Elastic Materials
Nächster Artikel Minimum Principle for a Composite Modeled as Two Interacting Dipolar Continua

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Metadaten
Titel
Mathematical Model for Diagnosing Strains by an Optical Fiber Sensor with a Distributed Bragg Grating According to the Solution of a Fredholm Integral Equation
verfasst von
A. A. Pan’kov
Publikationsdatum
18.09.2018
Verlag
Springer US
Erschienen in
Mechanics of Composite Materials / Ausgabe 4/2018
Print ISSN: 0191-5665
Elektronische ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-018-9760-6

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