Abstract
A holistic procedure is examined herein for the integration, the identification, and the assessment of systems with generalized damping models. The structural damage detection benefits of damping within the generalized modeling concept are also investigated. In this procedure, a matrix formulation is constructed for the system integration suitable for nonlinear operators, multiple models, and fractional order derivative models. The online and time-domain identification is provided by a modified unscented Kalman filter based on the integration analysis, while the online assessment of the various models is addressed using the Kullback–Leibler divergence.
| Original language | English |
|---|---|
| Article number | 116696 |
| Journal | Journal of Sound and Vibration |
| Volume | 523 |
| Early online date | 10 Jan 2022 |
| DOIs | |
| Publication status | Published - 14 Apr 2022 |
Acknowledgements
They would also like to thank John T. Katsikadelis for the discussion on benchmark integro-differential equation problemsFunding
The authors would like to acknowledge the support of the U.S. National Science Foundation, which partially supported this research under Grant No. CMMI-1563364.
Keywords
- Damage detection
- Fractional order derivative damping
- Generalized-nonviscous damping
- Integrodifferential equations
- Kalman filtering online identification
- Model selection-assessment
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanics of Materials
- Acoustics and Ultrasonics
- Mechanical Engineering
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