Abstract
The variability and uncertainty of structural parameters have a large impact on the modal properties and need to be considered for an adequate assessment of the dynamic response. Recently, so-called modal meta-models were used to approximate the natural frequencies of structures modeled with finite elements when structural modifications are present. The present paper proposes a viable meta-modeling approach which, based on the approximation of the coefficients of the characteristic polynomial, succeeds in accurately predicting the natural frequencies of the system in presence of veering assuming stiffness variability. The meta-model is based on mp+p finite element analyses, where m denotes the number of analyzed modes and p the number of parameters. The number of required analyses is independent of the model or of the complexity of the evolution of the modal parameters. Furthermore, the obtained modal meta-model is used in combination with a procedure for efficient detection of veering and crossing phenomena without resorting to time-consuming mode tracking procedures.
Original language | English (US) |
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Title of host publication | ECCOMAS Thematic Conference - COMPDYN 2011 |
Subtitle of host publication | 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering: An IACM Special Interest Conference, Programme |
State | Published - 2011 |
Event | 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2011 - Corfu, Greece Duration: May 25 2011 → May 28 2011 |
Other
Other | 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2011 |
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Country/Territory | Greece |
City | Corfu |
Period | 5/25/11 → 5/28/11 |
Keywords
- Characteristic polynomial
- Meta-modeling
- Mode veering
- Structural dynamics
- Uncertainty analysis
ASJC Scopus subject areas
- Computers in Earth Sciences
- Geotechnical Engineering and Engineering Geology
- Computational Mathematics