Shape Reconstruction Method for Monitoring Large Deformed Beam Structures
Publication: Journal of Engineering Mechanics
Volume 150, Issue 8
Abstract
Shape sensing refers to the deformation reconstruction of structures using measured surface strain. However, there is currently a lack of research on the shape sensing of large deformations, especially for beam structures. To address this issue, this paper proposes a new method called the rotation angle approximation (RAA) for reconstructing large deformations of beam structures. This method utilizes theoretical and actual curvatures to create a least-squares error functional. By minimizing this functional, the rotation angles of the corresponding beam can be obtained, avoiding the accumulation of errors that occurs when using traditional computation methods. The deformed shapes can be predicted utilizing the boundary conditions and the rotation angles along the beam. This method can reconstruct the large deformation of a beam without requiring prior knowledge about the material properties or external loads. The accuracy and effectiveness of this method were validated through numerical simulations and experiments. The results indicate that this method can accurately predict the different deformations of a beam induced by various loading conditions.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request. The available items include experimental data and numerical models.
Acknowledgments
This research work was jointly supported by the National Natural Science Foundation of China (Grant Nos. 52008236 and 52078284), Guangdong Basic and Applied Basic Research Foundation (2022A1515010812 and 2021A1515011770), and Shantou University Scientific Research Foundation (Grant No. NFT19039). These grants are greatly appreciated.
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© 2024 American Society of Civil Engineers.
History
Received: Aug 24, 2023
Accepted: Mar 19, 2024
Published online: May 30, 2024
Published in print: Aug 1, 2024
Discussion open until: Oct 30, 2024
ASCE Technical Topics:
- Approximation methods
- Beams
- Construction engineering
- Construction management
- Continuum mechanics
- Deformation (mechanics)
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Material mechanics
- Material properties
- Materials engineering
- Measurement (by type)
- Methodology (by type)
- Motion (dynamics)
- Rotation
- Sensors and sensing
- Solid mechanics
- Structural engineering
- Structural mechanics
- Structural members
- Structural systems
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