Reconstruction of Displacement, Velocity and Acceleration from Measured Dynamic Strain for Bernoulli-Beam Type Girders of Bridges

This paper presents a new approach for reconstructing displacement, velocity and acceleration from measured strain in Bernoulli-beam type girders of bridges. A minimization problem is defined using the L 2 -norm of the strain-displacement relation of the Bernoulli beam with a regularization function...

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Bibliographic Details
Published in:KSCE journal of civil engineering 2023, 27(5), , pp.2104-2115
Main Authors: Park, Kwang-Yeun, Jeon, Sang-Bum, Park, Yeun Chul, Lee, Hae Sung
Format: Article
Language:English
Subjects:
Acceleration
Civil Engineering
Engineering
Fourier transforms
Geotechnical Engineering & Applied Earth Sciences
Girder bridges
Girders
Industrial Pollution Prevention
Mathematical analysis
Mathematical models
Optimization
Regularization
Spatial filtering
Strain
Structural Engineering
Velocity
토목공학
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Summary:This paper presents a new approach for reconstructing displacement, velocity and acceleration from measured strain in Bernoulli-beam type girders of bridges. A minimization problem is defined using the L 2 -norm of the strain-displacement relation of the Bernoulli beam with a regularization function to form a low-cut, spatial filter converting measured strain into displacement. A standard finite element procedure is applied to discretize the minimization problem. Fundamental characteristics of the spatial filter are discussed using the spatial Fourier transform. A temporal filter is adopted to filter out temporal noise in the displacement reconstructed by the spatial filter and to reconstruct velocity. Acceleration is calculated by the 1 st -order central finite difference of the reconstructed velocity by the temporal filter. The validity of the proposed approach is demonstrated through a numerical simulation and field measurement on two-span continuous Bernoulli beams. It is shown that the proposed approach yields a good estimation of displacement and its temporal derivatives even for sparsely measured strain in the spatial domain. Detailed results of the numerical study are presented and discussed.
ISSN:1226-7988
1976-3808
DOI:10.1007/s12205-023-1278-3