Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis

Geomji Choi, Juhwan Lee () and Seongmin Chang ()
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Geomji Choi: School of Mechanical Engineering, Chungnam National University, Daejeon 34134, Republic of Korea
Juhwan Lee: Genesis Electrified Propulsion NVH Test Team, Hyundai Motor Group, Seoul 06797, Republic of Korea
Seongmin Chang: School of Mechanical Engineering, Chungnam National University, Daejeon 34134, Republic of Korea

Mathematics, 2024, vol. 13, issue 1, 1-23

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.

Keywords: reduced order modeling; dynamic reduction method frequency analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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