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-freque...
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MDPI AG
2024-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/1/81 |
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| author | Geomji Choi Juhwan Lee Seongmin Chang |
| author_facet | Geomji Choi Juhwan Lee Seongmin Chang |
| author_sort | Geomji Choi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e8aaff39d50040daa5d6b212a92d2064 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-e8aaff39d50040daa5d6b212a92d20642025-01-10T13:18:11ZengMDPI AGMathematics2227-73902024-12-011318110.3390/math13010081Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency AnalysisGeomji Choi0Juhwan Lee1Seongmin Chang2School of Mechanical Engineering, Chungnam National University, Daejeon 34134, Republic of KoreaGenesis Electrified Propulsion NVH Test Team, Hyundai Motor Group, Seoul 06797, Republic of KoreaSchool of Mechanical Engineering, Chungnam National University, Daejeon 34134, Republic of KoreaIn 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.https://www.mdpi.com/2227-7390/13/1/81reduced order modelingdynamic reduction method frequency analysis |
| spellingShingle | Geomji Choi Juhwan Lee Seongmin Chang Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis Mathematics reduced order modeling dynamic reduction method frequency analysis |
| title | Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis |
| title_full | Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis |
| title_fullStr | Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis |
| title_full_unstemmed | Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis |
| title_short | Dynamic Condensation-Based Reduction Method for Precise Broadband Frequency Analysis |
| title_sort | dynamic condensation based reduction method for precise broadband frequency analysis |
| topic | reduced order modeling dynamic reduction method frequency analysis |
| url | https://www.mdpi.com/2227-7390/13/1/81 |
| work_keys_str_mv | AT geomjichoi dynamiccondensationbasedreductionmethodforprecisebroadbandfrequencyanalysis AT juhwanlee dynamiccondensationbasedreductionmethodforprecisebroadbandfrequencyanalysis AT seongminchang dynamiccondensationbasedreductionmethodforprecisebroadbandfrequencyanalysis |