Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis
In this paper, we propose a degree-of-freedom-based adaptive reduction method that ensures accuracy over a wide band. In the conventional dynamic condensation method, a single reduced model consisting of low-order modes is used throughout the analysis. This results in low accuracy in the high-frequency band because it does not reflect the characteristics of the frequencies. To address this issue, we implemented a reduced model for each frequency using a Taylor series. This method converts the transformation matrix into a frequency-independent form, which allows for a simple interpolation of the reduction model by updating the differences between frequencies. Numerical examples were adopted to examine the accuracy and efficiency of the proposed method.
Authors
- Seongmin Chang (ORCID: https://orcid.org/0000-0001-9105-2292)
- Geomji Choi
- J. C. LEE (ORCID: https://orcid.org/0000-0001-9213-7060)
Institutions
- Chungnam National University (KR)
- Hyundai Motor Group (South Korea) (KR)
Publication Details
- Journal
- Mathematics
- Published
- 2024-12-28
- DOI
- https://doi.org/10.3390/math13010081
- Primary Topic
- Structural Health Monitoring Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministry of Trade, Industry and Energy