Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Reconstruction of Displacement, Velocity and Acceleration from Measured Dynamic Strain for Bernoulli-Beam Type Girders of Bridges
https://orcid.org/https://orcid.org/0000-0003-4940-2142
https://orcid.org/https://orcid.org/0000-0002-7842-9865
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 L2-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 1st-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.
Reconstruction of Displacement, Velocity and Acceleration from Measured Dynamic Strain for Bernoulli-Beam Type Girders of Bridges
https://orcid.org/https://orcid.org/0000-0003-4940-2142
https://orcid.org/https://orcid.org/0000-0002-7842-9865
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 L2-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 1st-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.
Reconstruction of Displacement, Velocity and Acceleration from Measured Dynamic Strain for Bernoulli-Beam Type Girders of Bridges
https://orcid.org/https://orcid.org/0000-0003-4940-2142
https://orcid.org/https://orcid.org/0000-0002-7842-9865
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 L2-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 1st-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.
Reconstruction of Displacement, Velocity and Acceleration from Measured Dynamic Strain for Bernoulli-Beam Type Girders of Bridges
KSCE J Civ Eng
Park, Kwang-Yeun (Autor:in) / Jeon, Sang-Bum (Autor:in) / Park, Yeun Chul (Autor:in) / Lee, Hae Sung (Autor:in)
KSCE Journal of Civil Engineering ; 27 ; 2104-2115
01.05.2023
12 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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