Stress Resultant–Based Approach to Mass Assumption–Free Bayesian Model Updating of Frame Structures
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 10, Issue 4
Abstract
Bayesian model updating facilitates the calibration of analytical models based on observations and the quantification of uncertainties in model parameters such as stiffness and mass. This process significantly enhances damage assessment and response predictions in existing civil structures. Predominantly, current methods employ modal properties identified from acceleration measurements to evaluate the likelihood of the model parameters. This modal analysis-based likelihood generally involves a prior assumption regarding the mass parameters. In civil structures, accurate determination of mass parameters proves challenging owing to the significant uncertainty and time-varying nature of imposed loads. The resulting inaccuracy potentially introduces biases while estimating the stiffness parameters, which affects the assessment of structural response and associated damage. Addressing this issue, the present study introduces a stress resultant–based approach for Bayesian model updating independent of mass assumptions. This approach uses system identification on strain and acceleration measurements to establish the relationship between nodal displacements and elemental stress resultants. Employing static analysis to depict this relationship aids in assessing the likelihood of stiffness parameters. Integrating this static-analysis–based likelihood with a modal-analysis–based likelihood facilitates the simultaneous estimation of mass and stiffness parameters. The proposed approach was validated using numerical examples on a planar frame and experimental studies on a full-scale moment-resisting steel frame structure.
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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.
Acknowledgments
The dynamic loading test in this study was part of a research conducted in collaboration with Prof. Satoshi Yamada and Prof. Tsuyoshi Seike at the University of Tokyo and was supported by JSPS KAKENHI (Grant-in-Aid for Scientific Research) (B) Grant Number JP20H02293.
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Information & Authors
Information
Published In
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 10 • Issue 4 • December 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Jan 12, 2024
Accepted: May 17, 2024
Published online: Aug 2, 2024
Published in print: Dec 1, 2024
Discussion open until: Jan 2, 2025
ASCE Technical Topics:
- Analysis (by type)
- Bayesian analysis
- Continuum mechanics
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Frames
- Material mechanics
- Materials engineering
- Mathematics
- Models (by type)
- Motion (dynamics)
- Parameters (statistics)
- Solid mechanics
- Statistical analysis (by type)
- Statistics
- Steel frames
- Stiffening
- Stress (by type)
- Stress analysis
- Structural analysis
- Structural behavior
- Structural engineering
- Structural members
- Structural models
- Structural systems
- Uncertainty principles
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