2011
DOI: 10.1088/0964-1726/20/3/035011
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Shape estimation with distributed fiber Bragg grating sensors for rotating structures

Abstract: This study investigates shape estimation of rotating structures using displacement–strain relationships and strain data measured with distributed fiber Bragg grating (FBG) sensors. A displacement–strain transformation based on a modal approach is applied to a beam model, and the locations of the strain sensors are optimized by minimizing the condition number of the displacement–strain transformation matrix. In a numerical simulation of a rotating beam, the beam shapes are successfully estimated using the propo… Show more

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Cited by 87 publications
(52 citation statements)
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“…In the literatures [6,7], the global or piecewise continuous basis function methods were employed to fit the surface measured strain into a structure strain field. Consequently, the deformation of the structure was obtained through the strain-displacement relationship.…”
Section: Introductionmentioning
confidence: 99%
“…In the literatures [6,7], the global or piecewise continuous basis function methods were employed to fit the surface measured strain into a structure strain field. Consequently, the deformation of the structure was obtained through the strain-displacement relationship.…”
Section: Introductionmentioning
confidence: 99%
“…Dynamic strain is the numerical summation of the results of strain mode shapes multiplied by modal coordinates, while dynamic deflection is the numerical summation of the results of displacement mode shapes multiplied by modal coordinates. Hence dynamic deflection can be obtained by strain mode shapes [11][12][13][14][15]. Moreover [16], investigated the displacement estimation of a two-dimensional plate based on the modal approach.…”
Section: Introductionmentioning
confidence: 99%
“…These methods are easy to implement, but the reconstruction accuracy of deformation estimation depends on the appropriate selection of basis function and weight coefficients. Mode shapes have been used as basis function in [12,13]. The deformation displacements are reconstructed from measured strains by using the modal transformation method.…”
Section: Introductionmentioning
confidence: 99%