• Wind and Structures
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• 제3권4호
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• pp.221-241
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• 2000

Structural dynamics usually applies modal transformation rules aimed at de-coupling and/or minimizing the equations of motion. Proper orthogonal decomposition provides mathematical and conceptual tools to define suitable transformed spaces where a multi-variate and/or multi-dimensional random process is represented as a linear combination of one-variate and one-dimensional uncorrelated processes. Double modal transformation is the joint application of modal analysis and proper orthogonal decomposition applied to the loading process. By adopting this method the structural response is expressed as a double series expansion in which structural and loading mode contributions are superimposed. The simultaneous use of the structural modal truncation, the loading modal truncation and the cross-modal orthogonality property leads to efficient solutions that take into account only a few structural and loading modes. In addition the physical mechanisms of the dynamic response are clarified and interpreted.

• Wind and Structures
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• 제38권1호
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• pp.1-13
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• 2024

In order to effectively simulate nonstationary stochastic turbulent wind fields, four separation hybrid (SEP-H) models are proposed in the present study. Based on the assumption that the lateral turbulence component at one single-point is uncorrelated with the longitudinal and vertical turbulence components, the fluctuating wind is separated into 2nV-1D and nV1D nonstationary stochastic vector processes. The first process can be expressed as double proper orthogonal decomposition (DPOD) or proper orthogonal decomposition and spectral representation method (POD-SRM), and the second process can be expressed as POD or SRM. On this basis, four SEP-H models of nonstationary stochastic turbulent wind fields are developed. In addition, the orthogonal random variables in the SEP-H models are presented as random orthogonal functions of elementary random variables. Meanwhile, the number theoretical method (NTM) is conveniently adopted to select representative points set of the elementary random variables. The POD-FFT (Fast Fourier transform) technique is introduced in frequency to give full play to the computational efficiency of the SEP-H models. Finally, taking a long-span bridge as the engineering background, the SEP-H models are compared with the dimension-reduction DPOD (DR-DPOD) model to verify the effectiveness and superiority of the proposed models.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 추계학술대회논문집B
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• pp.423-425
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• 2001

The Proper Orthogonal Decomposition (POD) technique was applied to investigate the effects of Reynolds number and the characteristics of the organized motions or coherent structures as a function of downstream position from x/D=2 to 6 in a turbulent axisymmetric shear layer at Reynolds numbers of 78,400, 117,600, and 156,800. Data were collected simultaneously using the 138 hot-wire probe used by Citriniti and George (2000). The POD was then applied to a double Fourier transform in time and azimuthal direction of the double velocity correlation tensor. The lowest azimuthal mode for all POD modes, which dominated the dynamics at x=D = 3 in the previous experiments, dies off rapidly downstream. This is consistent with a trend toward homogeneity in the downstream evolution, and suggests that some residual value may control the growth rate of the far jet. On the other hand, for the higher azimuthal modes, the peak shifts to lower mode numbers and actually increases with downstream distance. These mixing layer data, normalized by similarity variables for the mixing layer, collapse at all downstream positions and are nearly independent of Reynolds numbers.

• 한국전산구조공학회논문집
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• 제33권1호
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• pp.1-7
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• 2020

트윈 빌딩의 풍응답은 풍하중의 공력 특성과 트윈 빌딩 구조 시스템의 동적 특성에 영향을 받는다. 본 논문에서는 트윈 빌딩의 두 빌딩의 간격이 다른 두 경우에 대해서 풍응답에 영향을 주는 풍압의 특성을 풍동 실험과 적합 직교 분해 기법을 이용해 파악하고, 3차원 구조 시스템 모델링을 통해 동특성을 파악하였다. 그리고 이중 모달 변환 기법을 이용해서 각 풍압의 특성과 구조물의 동특성이 풍응답에 미치는 영향을 파악하였다. 적합 직교 분해 기법을 통해서 채널링과 와류 효과에 대해서 파악할 수 있었다. 풍 직각 방향의 풍하중은 두 빌딩의 간격에 영향을 많이 받았으며, 풍 방향의 풍하중은 간격에 영향을 적게 받았다. 마찬가지로, 이중 모달 변환 기법에서 교차 참여 계수는 풍 직각 방향에서는 두 빌딩의 간격에 따라 크게 달라진 반면, 풍 방향은 영향이 적었다. 이에 따라 두 빌딩의 간격이 풍 방향의 풍응답 보다 풍 직각 뱡향의 풍응답에 중요한 역할을 하는 것을 알 수 있었다.