• Title/Summary/Keyword: 적합 직교 분해

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Application of proper orthogonal decomposition on cylinder wake (원기둥 후류에 대한 적합 직교 분해법 적용)

  • Ree, Kwan Ho;Hwang, Jin Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.256-256
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    • 2022
  • 레이놀즈 분해법은 유속을 비롯한 변수를 평균 성분과 변동 성분으로 분해하는 분석 방법으로, 난류 분석의 기본이 되는 방법이다. 그러나 유체 내에 장애물이 존재할 경우, 흐름에 큰 와류가 존재하여 난류 변동 성분과 구분되는 고유 구조가 형성되는데, 이러한 경우에 레이놀즈 분해법을 적용하면 고유 구조의 변동 성분이 난류로 처리되어 난류 강도가 과다하게 책정될 수 있다는 한계점이 있다. 이에 대한 대안으로 제안된 것이, 변수를 평균 성분, 파동 성분, 변동 성분으로 분해하는 삼중 분해법이다. 삼중 분해법은 흐름 내의 고유 구조를 추출하는 것을 가능하게 하여 다양한 연구에서 사용되어왔다. 삼중 분해법을 구현하기 위해 이용되는 방법론 중 하나로, 공분산 행렬을 이용하여 유속장을 분해하는 방법인 적합 직교 분해법이 많이 사용된다. 본 연구에서는 원기둥 후류에 적합 직교 분해법을 사용하여 삼중 분해법을 시행하고, 후류의 흐름 구조를 분석하는 것을 목표로 하였다. 영상 유속계를 사용하여 실험을 통해 원기둥 후류의 수평 유속장을 측정하였고, 측정 자료에 적합 직교 분해법을 적용한 결과, 첫 두 모드에서 큰 규모의 와류가 파동 형태로 전파되는 것이 관찰되어 고유 구조의 존재를 확인할 수 있었다. 해당 성분을 삼중 분해법의 파동 성분으로 상정하였고, 푸리에 분석을 적용한 결과에서도 원기둥 후류의 고유 진동수가 뚜렷하게 나타나는 것을 확인하였다. 또한, 원기둥 후류의 에너지 전달 구조를 확인하기 위하여 에너지 방정식에 삼중 분해법을 적용하여 식을 유도하고, 실험 자료로부터 각 항을 계산하여 비교해보았다.

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Impact of the Aerodynamic Characteristics of Twin Buildings on Wind Responses (트윈 빌딩의 공력 특성이 풍응답에 미치는 영향 평가)

  • Kim, Bub-Ryur
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.1
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    • pp.1-7
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    • 2020
  • The wind responses of twin buildings are determined by the characteristics of wind loads and the dynamic characteristics of the structural systems of the buildings. In this study, the characteristics of wind pressure that influence wind responses were identified for two different spacings between the twin buildings using a wind tunnel test and the proper orthogonal decomposition (POD) method. Structural dynamic characteristics were also identified using 3D structural system modeling. The double modal transformation method was utilized to evaluate the characteristics of wind pressure for across-wind and along-wind conditions and the effect of the dynamic characteristics of each structure on the wind responses. The channeling and vortex effects were identified through the POD method. Across-wind loads were significantly affected by the spacings between the twin buildings, whereas along-wind loads were minimally affected. Similarly, while using the double modal transformation method, a significant difference was noticed in case of the cross-participation coefficients in the across-wind direction condition for the different spacings between the buildings; however, the along-wind direction condition showed negligible difference. Therefore, the spacing between the two buildings plays a more important role in across-wind responses compared to along-wind responses.

Evaluating Wind Load and Wind-induced Response of a Twin Building using Proper Orthogonal Decomposition (트윈 빌딩의 적합 직교 분해 기법을 이용한 풍하중 및 풍응답 평가)

  • Kim, Bub-Ryur
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.6
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    • pp.309-314
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    • 2018
  • The wind load and structural characteristics of a twin building are more complex than those of conventional high-rise buildings. The pressure load due to wind on a twin building was therefore measured via wind tunnel experiments to analyze such characteristics. The wind pressure pattern was then deduced from measured data using proper orthogonal decomposition. Channeling and vortex shedding were observed in the first and second modes, respectively. The along-wind loads on the two buildings featured a positive correlation and the cross-wind loads featured no correlation. Such a correlation affected the wind-induced displacement. The structural member connecting the two buildings had an insignificant effect on the positive correlation, but it notably reduced the wind-induced displacement with a negative correlation.

Linearized Modeling Technique for Complex Dynamic Responses Using Proper Orthogonal Decomposition (적합직교분해법을 이용한 복잡한 동적응답의 선형화 모델링 기법)

  • Lee, Soo-Il;Hong, Sang-Hyuk
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.156-159
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    • 2008
  • Proper orthogonal decomposition is a statistical pattern analysis technique for finding the dominant components, called the proper orthogonal modes, in ensembles of spatially distributed data. We present recent ideas based on proper orthogonal decomposition (POD) and detailed experiments that yield new perspectives into the microscale structures. The linearized modeling technique based on POD is very useful to show the principal characteristics of the complex dynamic responses.

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Modal Analysis of the Tapping AFM Microcantilevers Using Proper Orthogonal Decomposition (적합직교분해법을 이용한 AFM 마이크로캔틸레버의 모드해석)

  • Hong, Sang-Hyuk;Cho, Hong-Mo;Lee, Soo-Il
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1773-1777
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    • 2008
  • The proper orthogonal decomposition(POD) is used to the modal analysis of microcantilever of dynamic mode atomic force microscopy(AFM). The proper orthogonal modes(POM) are extracted from vibrating signals of microcantilever when it resonates and taps the sample. We present recent ideas based on POD and detailed experiments that yield new perspectives into the microscale structures. The linearized modeling technique based on POD is very useful to show the principal characteristics of the complex dynamic responses.

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Vibration Analysis of the Tapping AFM Microcantilevers Using Proper Orthogonal Decomposition (적합직교분해법을 이용한 AFM 마이크로캔틸레버의 진동해석)

  • Hong, Sang-Hyuk;Lee, Soo-Il
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.20 no.4
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    • pp.414-421
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    • 2010
  • The proper orthogonal decomposition(POD) is used to the vibration analysis of microcantilever in tapping mode atomic force microscopy(AFM). The proper orthogonal modes (POM) are extracted from vibrating signals of microcantilever when it resonates and taps the sample. We present recent ideas based on POD and detailed experiments that yield new perspectives into the microscale structures such as the tapping cantilever. The linearized modeling technique based on POD is very useful to show the principal characteristics of the complex dynamic responses of the AFM microcantilever.

Analysis and Reconstruction of the 2-D Cylinder Wake Flow Using POD (적합직교분해를 이용한 2차원 실린더 후류 유동장 분석 및 재구성)

  • Rhee, Hui-Nam;Kim, Gi-Hee
    • Journal of the Korea Institute of Military Science and Technology
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    • v.13 no.1
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    • pp.164-169
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    • 2010
  • Proper Orthogonal Decomposition (POD) is applied to the analysis of 2-dimensional cylinder wake flow. Time histories of flow variables were obtained by the incompressible CFD analysis. By using the method of snapshots the correlation matrix was constructed, and then eigenvalues, POD modes and time coefficients were calculated. Finally the flow field was reconstructed by using a few of the lower POD modes, and compared to the original ones.

A study on the proper orthogonal decomposition of the structural dynamic system (구조진동시스템의 적합직교분해에 관한 연구)

  • Baek, Sung-Min;Cho, Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.171-174
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    • 2010
  • 적절한 근사화 과정을 통하여 구축된 축소 시스템은 전체 시스템의 거동을 적은 수의 정보를 통하여 효과적으로 표현할 수 있다. 효과적인 시스템 축소를 위하여 본 연구에서는 주파수 영역 Karhunen-Loeve (Frequency-domain Karhunen-Loeve, FDKL) 기법과 시스템 등가 확장 축소 과정(System equivalent expansion reduction process, SEREP)을 연동한 축소 기법을 제안한다. 적합직교분해(Proper orthogonal decomposition)의 한 방법인 FDKL기법을 통하여 최적모드(Optimal mode)를 구하고 이에 SEREP을 적용하여 자유도 변환 행렬을 구한다. 이때 주자유도 선정은 2단계 축소기법을 적용한다. 최종적으로 제안된 기법은 수치예제를 통하여 검증한다.

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Efficient Analysis of the Aerodynamic Characteristics of Rotor Blade Using a Reduced Order Model Based on Proper Orthogonal Decomposition Method (적합직교분해를 이용한 로터 블레이드의 차수축소모델 구축 및 공력특성 분석)

  • Jung, Sung-Ki;Duc, NgoCong;Yang, Young-Rok;Cho, Tae-Hwan;Myong, Rho-Shin
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.11
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    • pp.1073-1079
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    • 2009
  • The proper orthogonal decomposition (POD) method can identify principal modes that optimally capture the energy content from large multi-dimensional data set. In this study unsteady pressure fields on the rotor blade surface of a helicopter in forward flight are expressed by a reduced order model based on the POD method. Special modes containing high energy are analyzed to investigate the aerodynamic characteristics in more efficient way. The CFD simulation of flowfields around helicopter rotor blade in hovering motion is also conducted to validate its prediction with experimental result. In the process 7 modes containing energy ratio 99% from 240 snapshots information are identified and utilized to construct a reduced order model.