• Title/Summary/Keyword: Diagonal Matrix

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Augmented D-Optimal Design for Effective Response Surface Modeling and Optimization

  • Kim, Min-Soo;Hong, Kyung-Jin;Park, Dong-Hoon
    • Journal of Mechanical Science and Technology
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    • 제16권2호
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    • pp.203-210
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    • 2002
  • For effective response surface modeling during sequential approximate optimization (SAO), the normalized and the augmented D-optimality criteria are presented. The normalized D-optimality criterion uses the normalized Fisher information matrix by its diagonal terms in order to obtain a balance among the linear-order and higher-order terms. Then, it is augmented to directly include other experimental designs or the pre-sampled designs. This augmentation enables the trust region managed sequential approximate optimization to directly use the pre-sampled designs in the overlapped trust regions in constructing the new response surface models. In order to show the effectiveness of the normalized and the augmented D-optimality criteria, following two comparisons are performed. First, the information surface of the normalized D-optimal design is compared with those of the original D-optimal design. Second, a trust-region managed sequential approximate optimizer having three D-optimal designs is developed and three design problems are solved. These comparisons show that the normalized D-optimal design gives more rotatable designs than the original D-optimal design, and the augmented D-optimal design can reduce the number of analyses by 30% - 40% than the original D-optimal design.

부분 포물형 Navier-Stokes 방정식을 이용한 비압축성 이차원 박리유동 계산 (Calculation of two-dimensional incompressible separated flow using parabolized navier-stokes equations)

  • 강동진;최도형
    • 대한기계학회논문집
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    • 제11권5호
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    • pp.755-761
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    • 1987
  • 본 연구에서는 익형 위에 발생하는 박리기포 주위를 사용한 박리기포 주위 유 동해석에 목적을 두고, 원시변수(primitive variable)를 사용한 부분 포물형 Navier -Stokes 방정식을 사용하여 층류유동에 관한 간단한 기본계산을 통해 비교적 박리기포 가 큰 외부유동(external flow)에도 부분 포물형 방정식이 적용될 수 있음을 보이고자 한다.수치해법은 Galpin 등 이 이차원 관유동(channel flow)에 완전 Navier-Stokes 방정식의 해법으로 사용한 CELS(coupled equation line solver) 방법을 부분 포물형 방정식에 적합하게 수정하여 사용하였다.

이동하는 소음원 위치 추정을 위한 다양한 빔형성 기법 적용 (Localization of Moving Sound Source Using Various Beamforming Methods)

  • 고영주;이재형;최종수;하재현
    • 한국소음진동공학회논문집
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    • 제26권5호
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    • pp.501-510
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    • 2016
  • Capabilities of several beamforming techniques are compared for estimating the position of a moving source. Beamforming has enabled to widen our perspective of aeroacoustics in wind tunnel experiments and has provided useful approach in array measurements. Meanwhile beamforming techniques have been developed in a way to improve estimation accuracy and to save ing effort at the same time. In order to achieve reasonable outcome from aeroacoustic measurement, it is important to identify the spectral characteristics of source and to select an appropriate beamformer. Though aeroacoustic sources normally generates broadband noises, many array signal processing have been focused on narrowband processing which makes calculation numerically efficient. However, calculation in frequency-domain requires selection of single frequency of interest which affects spatial resolution and sidelobe level as a consequence. To be able to localize broadband noise source, it is proposed to use broadband beamforming. The formulas implements the deletion of diagonal term from cross spectral matrix. In this study, trajectory of flying source emitting broadband noise was simulated and several beamformers are applied.

평균오차를 이용한 멀티미디어 동영상 데이터를 위한 효율적인 장면전환 검출 (Effective Scene Change Detection Method for MuIUmedia Bata as Video Images using Mean Squared Error)

  • Jung, Chang-Ryul;Koh, Jin-Gwang;Lee, Joon
    • 한국정보통신학회논문지
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    • 제6권6호
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    • pp.951-957
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    • 2002
  • 동영상데이터의 대용량 검색을 할 때 사용자가 원하는 검색점을 추출하여 인덱싱과 재생하기 위해서는 동영상 데이터의 프레임 리스트 제공이 필요하다. 평균오차를 적용하여 프레임의 대각선으로부터 픽셀값을 추출한다. 각각의 프레임으로부터 추출된 픽셀의 RGB값은 행렬구조로 저장하고, 저장된 프레임은 두 지정을 비교하여 장면전환점을 추출한다 또한 동영상의 전체적인 구조를 파악할 수 있는 알고리즘과 장면전환설을 구현하였다. 본 연구에서는 제안한 방법의 성능 우수성을 기존연구와 비교하여 분석하고 증명했다

Blind Color Image Watermarking Based on DWT and LU Decomposition

  • Wang, Dongyan;Yang, Fanfan;Zhang, Heng
    • Journal of Information Processing Systems
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    • 제12권4호
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    • pp.765-778
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    • 2016
  • In watermarking schemes, the discrete wavelet transform (DWT) is broadly used because its frequency component separation is very useful. Moreover, LU decomposition has little influence on the visual quality of the watermark. Hence, in this paper, a novel blind watermark algorithm is presented based on LU transform and DWT for the copyright protection of digital images. In this algorithm, the color host image is first performed with DWT. Then, the horizontal and vertical diagonal high frequency components are extracted from the wavelet domain, and the sub-images are divided into $4{\times}4$ non-overlapping image blocks. Next, each sub-block is performed with LU decomposition. Finally, the color image watermark is transformed by Arnold permutation, and then it is inserted into the upper triangular matrix. The experimental results imply that this algorithm has good features of invisibility and it is robust against different attacks to a certain degree, such as contrast adjustment, JPEG compression, salt and pepper noise, cropping, and Gaussian noise.

새로운 분할법에 의한 회로망해석 (Analysis of Large-Scale Network using a new Network Tearing Method)

  • 김준현;송현선
    • 한국통신학회논문지
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    • 제12권3호
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    • pp.267-275
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    • 1987
  • 회로망내에 존재하는 절점과 가지를 분할하여 몇 개의 부분회로망으로 나누고 분할절점에서의 전압 및 전류관계식으로부터 회로망방정식을 정식화하여 각 부분회로망 별로 독립적으로 처리함으로서 대형회로망을 효율적으로 해석할 수 있도록 하였다. 본 논문에서 제안한 분할회로망에 대한 방정식은 분할하기 전의 단일회로망에 대한 방정식과 비교할 때 절점의 순서만 재 배열한 결과가 되므로, 종래의 단일회로망에 대한 산법을 그대로 분할법에 적용할 수 있다. 또한, 어드미턴스행렬의 블록대각형구조를 이용한 병렬계산 알고리즘을 제시하였다.

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HSVA 두 탱커 선형에 대한 점성유동 계산 (Numerical Calculation of Viscous Flows for Two HSVA Tankers)

  • 곽영기
    • 한국해양공학회지
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    • 제13권2호통권32호
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    • pp.138-146
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    • 1999
  • The viscous flow around a ship hull is calculated by the use of RANS(Reynolds-averaged Navier-Stokes) solver. Reynolds stresses are midelled by using the k-${epsilon}$ turbulence model and the law is applied near the body. Body fitted corrdinates are introduced for the treatment of the complex boundary of the ship hull form and the governing equations in the physical domain transformed into ones in the computational domain. The transformed equations are numerically solved by an employment of FVM(Finite Volume Method). SIMPLE(Semi-Implicit Pressure Linked Equation) method is adopted in the calculation of pressure and the solution of the sidcretized equation is obtained by the line-by-line method with the use of TDMA(Tri-Diagonal Matrix Algorithme). To assure the proprietty of this computing method, HSVA tanker and Dyne hull are calculated ar both model and ship scale Reynolds number. Their reaults of pressure distributions on fore and aft body, axial velocity contours and transverse velocity velocity vectors and viscous resistance coefficients are compared with other's experiments and calculations.

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A statistical framework with stiffness proportional damage sensitive features for structural health monitoring

  • Balsamo, Luciana;Mukhopadhyay, Suparno;Betti, Raimondo
    • Smart Structures and Systems
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    • 제15권3호
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    • pp.699-715
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    • 2015
  • A modal parameter based damage sensitive feature (DSF) is defined to mimic the relative change in any diagonal element of the stiffness matrix of a model of a structure. The damage assessment is performed in a statistical pattern recognition framework using empirical complementary cumulative distribution functions (ECCDFs) of the DSFs extracted from measured operational vibration response data. Methods are discussed to perform probabilistic structural health assessment with respect to the following questions: (a) "Is there a change in the current state of the structure compared to the baseline state?", (b) "Does the change indicate a localized stiffness reduction or increase?", with the latter representing a situation of retrofitting operations, and (c) "What is the severity of the change in a probabilistic sense?". To identify a range of normal structural variations due to environmental and operational conditions, lower and upper bound ECCDFs are used to define the baseline structural state. Such an approach attempts to decouple "non-damage" related variations from damage induced changes, and account for the unknown environmental/operational conditions of the current state. The damage assessment procedure is discussed using numerical simulations of ambient vibration testing of a bridge deck system, as well as shake table experimental data from a 4-story steel frame.

셀 생산방식에서 기계-부품 그룹을 형성하는 발견적 해법 (A Heuristic Approach to Machine-Part Grouping Cellular Manufacturing)

  • 김진석;이종섭;강맹규
    • 산업경영시스템학회지
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    • 제28권1호
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    • pp.121-128
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    • 2005
  • This paper proposes the heuristic approach for the generalized GT(Group Technology) problem to consider the restrictions which are given the number of cell, maximum number of machines and minimum number of machines. This approach is classified into two stages. In the first stage, we use the similarity coefficient method which is proposed and calculate the similarity values about each pair of all machines and align these values in descending order. If two machines which is selected is possible to link the each other on the edge of machine cell and they don't have zero similarity value, then we assign the machines to the machine cell. In the second stage, it is the course to form part families using proposed grouping efficacy. Finally, machine-part incidence matrix is realigned to block diagonal structure. The results of using the proposed approach are compared to the Modified p-median model.

유사변환기법을 이용한 Galerkin-FEM모델 (A Three-Dimensional Galerkin-FEM Model Using Similarity Transform Technique)

  • 강관수;소재귀;정경태
    • 한국해안해양공학회지
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    • 제6권2호
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    • pp.174-185
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    • 1994
  • 본 논문에서는 수평유속의 연직방향 변화 결정에 유한요소기법(FEM)을 이용하고 수평방향으로는 유한차분기법을 사용하는 복합형 Galerkin 연직함수 전개모델에 새로이 유사변환기법을 추가한 3차원 해수유동모델의 개발에 대하여 기술하였다. 기본방정식의 연직방향으로 선형보간함수를 기저함수로 사용하여 Galerkin 기법을 적용하여 구성되는 행열 방정식에 유사변환기법을 적용, 각 절점의 유속값을 해석적으로 구하였다. 유사변환기법을 적용하여 최종 얻어지는 모우드 shape 방정식은 비연계된 방정식으로 구성되므로 역행렬 계산이 필요없어 계산시간이 절약된다. 또한 수립된 모델은 고유벡터행렬로 구성되는 모우드 shape가 도입됨으로써 모우드 shape 몇개만 사용하여도 거의 수렴된 값을 얻을 수 있어 계산시간을 절약할 수 있다. 등수심하 유한영역과 무한영역에서의 수치실험을 통하여 개발된 모델의 적용 가능성을 검증하였다.

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