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Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis

Author

Listed:
  • 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)

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.

Suggested Citation

  • Geomji Choi & Juhwan Lee & Seongmin Chang, 2024. "Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis," Mathematics, MDPI, vol. 13(1), pages 1-23, December.
    • Handle: RePEc:gam:jmathe:v:13:y:2024:i:1:p:81-:d:1555519
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