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.

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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

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article

Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis

Seongmin Chang, Geomji Choi, J. C. LEE
Mathematics
Structural Health Monitoring Techniques
article

Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis

Seongmin Chang, Geomji Choi, J. C. LEE
article en

Abstract

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.

MathematicsVol. 13(1)
Chungnam National University (KR), Hyundai Motor Group (South Korea) (KR)
Ministry of Trade, Industry and Energy
Peace, Justice and strong institutions
Openalex Percentile: Top 72%
Structural Health Monitoring Techniques
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