• 제목/요약/키워드: Matrix Analytic Methods

검색결과 31건 처리시간 0.029초

산란 음향 홀로그래피의 구현 방법론 (Realization of Acoustic Scattering Holography)

  • 김양한
    • 한국소음진동공학회논문집
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    • 제14권11호
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    • pp.1101-1106
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    • 2004
  • There are many difficulties to get the scattered field generated by obstacle which has arbitrary shape or irregular surface impedance by using analytic solution or numerical methods. In this study, we propose a method of which makes acoustic scattering holography that can predict the far-field scattered field based on nearfield measurements. This method provides the scattered fields of each wave-number components of incident fields. We express the relationship of wave-number components between incident fields and scattered fields using scattering matrix which is transfer matrix of wave-number components. Lastly, we prove the relation between wave-number components of incident and scattered field by experiments. The errors which are caused by measurements and decomposition methods are also analyzed.

산란 음향 홀로그래피의 구현 방법론 (Realization of acoustic scattering holography)

  • 이상협;김양한
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.640-644
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    • 2003
  • There are many difficulties to get the scattered field generated by obstacle which has arbitrary shape or irregular surface impedance by using analytic solution or numerical methods. In this study, we propose experimental method of acoustic scattering holography that can predict the far-field scattered field based on nearfield measurements. In particular we can get the scattered fields of each wave-number components of incident fields. We express the relationship of wave-number components between incident fields and scattered fields using scattering matrix which is transfer matrix of wave-number components. Lastly, we prove the relation between wave-number components of incident and scattered field by experiments. The errors which are caused by measurements and decomposition methods are also analyzed.

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이유체 이상유동 모델과 HLL 스킴을 이용한 캐비테이션 유동 해석 (Cavitating Flow Simulation Using Two-Fluid Two-Phase Flow Model and HLL Scheme)

  • 염금수;장근식
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2005년도 춘계 학술대회논문집
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    • pp.219-222
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    • 2005
  • A compressible two-fluid two-phase flow computation model using the stiffened-gas equation of state is formulated. Since the conservation equation system is of mixed type, it gives complex eigenvalues. The sonic speeds obtained from the individual single phase have been simply used in the literature for the fastest wave speeds necessary in the HLL scheme. This method has worked fine but proved to be quite diffusive according to our test. To improve the accuracy, we here propose to utilize the analytic eigenvalues evaluated from an approximate Jacobian matrix lot the fastest wave speeds. The interfacial transfer terms were dropped in constituting the Jacobian matrix for this purpose. The present scheme proved efficient, robust and accurate in comparison with other existing methods. We solved the cavitating flow problem using the present scheme. The result shows more detailed wave structure in the cavitating process caused by the strong expansion waves.

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구조화 마코프체인을 이용한 이종 구성품을 갖는 k-out-of-n 시스템의 수명분포 모형 (Lifetime Distribution Model for a k-out-of-n System with Heterogeneous Components via a Structured Markov Chain)

  • 김흥섭
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제17권4호
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    • pp.332-342
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    • 2017
  • Purpose: In this study, the lifetime distribution of a k-out-of-n system with heterogeneous components is suggested as Markov model, and the time-to-failure (TTF) distribution of each component is considered as phase-type distribution (PHD). Furthermore, based on the model, a redundancy allocation problem with a mix of components (RAPMC) is proposed. Methods: The lifetime distribution model for the system is formulated by the structured Markov chain. From the model, the various information on the system lifetime can be ascertained by the matrix-analytic (or-geometric) method. Conclusion: By the generalization of TTF distribution (PHD) and the consideration of heterogeneous components, the lifetime distribution model can delineate many real systems and be exploited for developing system operation policies such as preventive maintenance, warranty. Moreover, the effectiveness of the proposed RAPMC is verified by numerical experiments. That is, under the equivalent design conditions, it presented a system with higher reliability than RAP without component mixing (RAPCM).

Analysis of a Queueing Model with Time Phased Arrivals

  • 김제숭
    • 한국산업정보학회논문지
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    • 제12권4호
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    • pp.107-118
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    • 2007
  • A single-server queueing model with infinite buffer and batch arrival of customers is considered. In contrast to the standard batch arrival when a whole batch arrives into the system at one epoch, we assume that the customers of an accepted batch arrive one-by one in exponentially distributed times. Service time is exponentially distributed. Flow of batches is the stationary Poisson arrival process. Batch size distribution is geometric. The number of batches, which can be admitted into the system simultaneously, is subject of control. Analysis of the joint distribution of the number batches and customers in the system and sojourn time distribution is implemented by means of the matrix technique and method of catastrophes. Effect of control on the main performance measures of the system is demonstrated numerically.

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택시통행패턴에 따른 광주시 기능지역 분석 (Functional Areas of Kwang-ju City through Analysis of the Taxi-flow Pattern)

  • 김영기
    • 대한교통학회지
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    • 제6권2호
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    • pp.35-48
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    • 1988
  • Amongst various analytic methods of internal structure of city, the factor analysis method which uses O-D matrix data has some merits and characteristics compared to other methods. 1) It is possible to find one certain interaction and flow pattern between traffic zones with in a city through reanalyzing O-D data which is too complex to grasp specific meaning or pattern of flow systems. 2) It can be easily visualized the traffic flow pattern by using adequate graphic techniques, and also can clarify the functional areas whose interaction linkages are significantly strong enough between each other. In this study, the taxi traffic O-D data between 42 traffic zones in Kwang-ju city was reanalyzied by varimax rotated factor analysis methods. As a result, four factors that have significant level factor loading (over 0.5 ) and factor score (over 1.0) were sorted out. so to speak four different functional areas were clarified in Kwang-ju city, of the West, the East, the south, and the North functional areas whose interaction linkages are significantly strong enough between each other. In the study, the taxi traffic O-D data between 42 traffic zones in Kwang-ju city was reanalyzied by varimax rotated factor analysis methods. As a result, four factors that have significant level factor loading (over 0.5) and factor score 9over 1.0) were sorted out. so to speak four different functional areas were clarified in Kwang-ju city, of the West, the East, the South, and the North functional area, then these four functional areas are almost coincided with citizen's general conception of community division and administrative district. Accordingly the factor analysis methods using traffic data seems to proved to be very accurate and useful analytic instruments for analyzing flow pattern and clarifying functional areas of city, and believed to provide basic informations and criteria for practical urban land use planning and transportation planning.

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건물의 3차원 구조체에 대한 전열해석 프로그램 개발 중 서로 다른 열전도율을 갖는 복합재질 3차원 구조의 비정렬 격자에 대한 전산해석 방법 (Numerical heat transfer analysis methodology for multiple materials with different heat transfer coefficient in unstructured grid for development of heat transfer analysis program for 3 dimensional structure of building)

  • 이주희;장진우;이현균;이용준;이규성
    • KIEAE Journal
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    • 제16권1호
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    • pp.81-87
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    • 2016
  • Purpose: Heat transfers phenomena are described by the second order partial differential equation and its boundary conditions. In a three-dimensional structure of a building, the heat transfer phenomena generally include more than one material, and thus, become complicate. The analytic solutions are useful to understand heat transfer phenomena, but they can hardly be applied in engineering or design problems. Engineers and designers have generally been forced to use numerical methods providing reliable results. Finite volume methods with the unstructured grid system is only the suitable means of the analysis for the complex and arbitrary domains. Method: To obtain an numerical solution, a discretization method, which approximates the differential equations, and the interpolation methods for temperature and heat flux between two or more materials are required. The discretization methods are applied to small domains in space and time, and these numerical solutions form the descretized equations provide approximated solutions in both space and time. The accuracy of numerical solutions is dependent on the quality of discretizations and size of cells used. The higher accuracy, the higher numerical resources are required. The balance between the accuracy and difficulty of the numerical methods is critical for the success of the numerical analysis. A simple and easy interpolation methods among multiple materials are developed. The linear equations are solved with the BiCGSTAB being a effective matrix solver. Result: This study provides an overview of discretization methods, boundary interface, and matrix solver for the 3-dimensional numerical heat transfer including two materials.

Maxwell 방정식의 효율적인 풀이를 위한 경계요소법과 웨이브렛의 결합 (the Combination of Wavelet with Boundary Element Method for the Efficient Solution of Maxwell's Equations)

  • 김현준;이승걸;오범환;이일항
    • 전자공학회논문지CI
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    • 제39권6호
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    • pp.24-35
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    • 2002
  • Maxwell 방정식을 효율적으로 풀기 위해 웨이브렛 행렬 변환(wavelet matrix transformation)과 경계요소법(Boundary Element Method)을 결합하는 방법을 제안하였으며, 2차원 위상변이 마스크(phase- shifting mask) 문제에 적용하였다. 계산 결과를 해석적인 해 및 참고문헌의 결과와 비교함으로써 구현된 모듈의 정확도를 검증하였으며, 제안된 방법이 경계요소법만을 적용한 경우에 비해 연산 시간과 메모리 사용 측면에서 효율적임을 확인하였다.

저 복잡도를 갖는 효율적인 그래프 신호의 샘플링 알고리즘 (Efficient Sampling of Graph Signals with Reduced Complexity)

  • 김윤학
    • 한국전자통신학회논문지
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    • 제17권2호
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    • pp.367-374
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    • 2022
  • 그래프 노드상에서 발생하는 그래프 신호의 일부를 선택해서 만든 샘플링 신호로부터 원신호를 복원하기 위해, 복원오차를 최소화하기 위한 최적의 샘플링 집합을 선택하는 알고리즘에 관해 연구한다. 복잡도 개선을 위해 복원오차를 직접적으로 최소화하는 대신에, 복원오차의 상한값을 비용함수로 사용하고, QR분해 적용을 통해 발생하는 상삼각행렬의 대각선상에 위치하는 값으로 샘플링을 결정할 수 있게 하는, 저 복잡도를 갖는 반복적 탐욕알고리즘을 제안한다. 기존의 샘플링 선택 방법과 비교하여, 제안 알고리즘이 복원 성능 저하를 평균 5%미만으로 유지하면서, 약 3.5배 빠른 실행시간을 보임을 다양한 그래프 상황에서 실험을 통해 확인한다.

High-Speed Signaling in SDARM Bus Interface Channels : Review

  • Park, Hong-June;Sohn, Young-Soo;Park, Jin-Seok;Bae, Seung-Jun;Park, Seok-Woo
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제1권1호
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    • pp.50-69
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    • 2001
  • Three kinds of high-speed signaling methods for synchronous DRAM (SDRAM) bus interface channels (PC-133, Direct-Rambus, and SSTL-2) were analyzed in terms of the timing budget and the physical transmission characteristics. To analyze the SDRAM bus interface channels, loss mechanisms and the effective characteristic impedance method were reviewed and the ABCD matrix method was proposed as an analytic and yet accurate method. SPICE simulations were done to get the AC responses and the eye patterns of the three SDRAM bus interface channels for performance comparisons. Recent progress and future trend for SDRAM bus interface standards were reviewed.

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