• Title/Summary/Keyword: vector-matrix method

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Inelastic vector finite element analysis of RC shells

  • Min, Chang-Shik;Gupta, Ajaya Kumar
    • Structural Engineering and Mechanics
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    • v.4 no.2
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    • pp.139-148
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    • 1996
  • Vector algorithms and the relative importance of the four basic modules (computation of element stiffness matrices, assembly of the global stiffness matrix, solution of the system of linear simultaneous equations, and calculation of stresses and strains) of a finite element computer program for inelastic analysis of reinforced concrete shells are presented. Performance of the vector program is compared with a scalar program. For a cooling tower problem, the speedup factor from the scalar to the vector program is 34 for the element stiffness matrices calculation, 25.3 for the assembly of global stiffness matrix, 27.5 for the equation solver, and 37.8 for stresses, strains and nodal forces computations on a Gray Y-MP. The overall speedup factor is 30.9. When the equation solver alone is vectorized, which is computationally the most intensive part of a finite element program, a speedup factor of only 1.9 is achieved. When the rest of the program is also vectorized, a large additional speedup factor of 15.9 is attained. Therefore, it is very important that all the modules in a nonlinear program are vectorized to gain the full potential of the supercomputers. The vector finite element computer program for inelastic analysis of RC shells with layered elements developed in the present study enabled us to perform mesh convergence studies. The vector program can be used for studying the ultimate behavior of RC shells and used as a design tool.

SDP-Based Adaptive Beamforming with a Direction Range (방향범위를 이용한 SDP 기반 적응 빔 형성)

  • Choi, Yang-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.39A no.9
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    • pp.519-527
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    • 2014
  • Adaptive arrays can minimize contributions from interferences incident onto an sensor array while preserving a signal the direction vector of which corresponds to the array steering vector to within a scalar factor. If there exist errors in the steering vector, severe performance degradation can be caused since the desired signal is misunderstood as an interference by the array. This paper presents an adaptive beamforming method which is robust against steering vector errors, exploiting a range of the desired signal direction. In the presented method, an correlation matrix of array response vectors is obtained through integration over the direction range and a minimization problem is formulated using some eigenvectors of the correlation matrix such that a more accurate steering vector than initially given one can be found. The minimization problem is transformed into a relaxed SDP (semidefinite program) problem, which can be effectively solved since it is a sort of convex optimization. Simulation results show that the proposed method outperforms existing ones such as ORM (outside-range-based method) and USM (uncertainty-based method).

Design and Implementation of Matrix Converter Based on Space Vector Modulation (SVM를 적용한 매트릭스 컨버터의 설계 및 구현)

  • Yang Chun-Suk;Yoon In-Sik;Kim Kyung-Seo
    • The Transactions of the Korean Institute of Power Electronics
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    • v.10 no.6
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    • pp.550-559
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    • 2005
  • The matrix converter provides sinusoidal input and output wave forms, bidirectional power flow, controllable input power factor and a long life, compared to the VSI(Voltage Source Inverter) with diode rectification stage at the input. However it has tasks, such as complexity of the control method, ride-through problem and low voltage-ratio limitation, to overcome for commercializing, This paper describes the design, construction and implementation of matrix converter based on space vector modulation technique. The implemented prototype of matrix converter is built using the exclusive IGBT module and control circuit constituted with DSP and CPLD and it has an input filter, overvoltage protection circuit and commutation means for overcoming practical issues. The good results tested using an induction motor are also presented.

Optical Implementation of Bipolar Hopfield Neural Network Model by using EX-NOR Logic Operation (EX-NOR 논리 연산을 이용한 Bipolar Hopfield 신경 회로망 모델의 광학적 실현)

  • 박성철;김은수;양인응;박한규
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.10
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    • pp.1591-1597
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    • 1989
  • Through the matematical alaysis of EX-NOR logic relation between the input vector and the memory matrix, we propose a new method for optical implementation of the bipolar Hopfield neural network model based on the optical vector-matrix multiplier.

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An Implementation of Digital Neural Network Using Systolic Array Processor (영어 수계를 이용한 디지털 신경망회로의 실현)

  • 윤현식;조원경
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.2
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    • pp.44-50
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    • 1993
  • In this paper, we will present an array processor for implementation of digital neural networks. Back-propagation model can be formulated as a consecutive matrix-vector multiplication problem with some prespecified thresholding operation. This operation procedure is suited for the design of an array processor, because it can be recursively and repeatedly executed. Systolic array circuit architecture with Residue Number System is suggested to realize the efficient arithmetic circuit for matrix-vector multiplication and compute sigmoid function. The proposed design method would expect to adopt for the application field of neural networks, because it can be realized to currently developed VLSI technology.

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A New SVM Method to Reduce Common-Mode Voltage of Five-leg Indirect Matrix Converter Fed Open-End Load Drives

  • Tran, Quoc-Hoan;Lee, Hong-Hee
    • Journal of Power Electronics
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    • v.17 no.3
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    • pp.641-652
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    • 2017
  • This paper proposes a cost-effective topology to drive a three-phase open-end load based on a five-leg indirect matrix converter (IMC) and a space vector modulation (SVM) method. By sharing an inverter leg with two load terminals, the proposed topology can reduce the number of power switches when compared to topologies based on a direct matrix converter or a six-leg IMC. The new SVM method uses only the active vectors that do not produce common-mode voltage (CMV), which results in zero CMV across the load phase and significantly reduces the peak value of the CMV at the load terminal. Furthermore, the proposed drive system can increase the voltage transfer ratio up to 1.5 and provide a superior performance in terms of an output line-to-line voltage with a three-level pulse-width modulation waveform. Simulation and experimental results are given to verify the effectiveness of the proposed topology and the new SVM method.

MVDR Beamformer for High Frequency Resolution Using Subband Decomposition (부대역을 이용한 MVDR 빔형성기의 주파수 분해능 향상 기법)

  • 이장식;박도현;김정수;이균경
    • The Journal of the Acoustical Society of Korea
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    • v.21 no.1
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    • pp.62-68
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    • 2002
  • It is well known that the MDVR beamforming outperforms the conventional delay-sum beamformer in the sense of noise rejection and bearing resolution. However, the MDVR method requires long observation time to achieve high frequency resolution. The STMV method uses the steered covariance matrix of sensor data, so it has an ability to form an adaptive weight vector from a single time-series snapshot. But it uses the same weight vector across all frequencies. In this paper, we propose an SSMV method. The basic idea of the SSMV method is to decompose a full frequency band into several subbands to acquire a weight vector for each subband, individually. Also the wrap may be divided into several subarrays in order to reduce a computational load and the bandwidth of each subband. Simulations using real sea trial data show that the proposed SSMV method has good performance with short observation time.

A Study of Geometric Modeling for Ship Hull Forms Using Open Uniform B-spline Surface (Open 균일 B-spline 곡면을 이용한 선체 곡면 표현에 관한 연구)

  • H.K. Shin;K.W. Park
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.21-27
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    • 1991
  • This paper outlines the method of formulating the bi-cubic B-spline surface of ship hull, employing the open uniform knot vector as well as the periodic uniform knot vector. An appropriate set of B-spline control vertices to generate the B-spline surface is determined by obtaining the pseudoinverse matrix of basis functions. The comparison between the given offsets and the resulting coordinates from the generated ship hull surface shows a good agreement. To check the fairness of the surface Gaussian curvature is calculated on many small subpatches and displayed on the black-and-white plot of the isoparametric net of the surface.

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Hierarchical State Feedback Control of Large-Scale Discrete-Time Systems with Time-Delays (시간지연이 있는 대규모 이산시간 시스템의 계층적 상태궤환제어)

  • 김경연;전기준
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.8
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    • pp.1161-1166
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    • 1989
  • In this paper, a hierarchical state feedback control method is proposed for the optimal tracking of large-scale discrete-time systems with time-delays. The state feedback gain matrix and the compensation vector are computed from the optimal trajectories of the state variables and control inputs obtained hierarchically by the open-loop control method based on the interaction prediction method. The resulting feedback gain matrix and the compensation vector are optimal for the given initial condition. Computer simulation results show that the proposed method has better control performance and fewer second level iterations than the Tamura method.

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A New Method for Generating Structural Configurations of Modular-Reconfigurable Machine Tool (모듈러 RMT의 구조형태 생성을 위한 새로운 방법)

  • Choi Y. H.;Park H. M.;Jang S. H.;Choi E. Y.;Kim I. S.;Park J. K.
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2005.05a
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    • pp.435-440
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    • 2005
  • This study describes a new method of constructing Reconfigurable machine tools configurations from a set of modules or components. This proposed method defines combinability vector for each module and mutual combinability coefficient matrix for adjacent two modules. All of machine configurations possible to be generated from any two adjacent modules can be determined by quadratic form of two associated combinability vectors. Furthermore, all of possible RMT configurations generating from a series of multiple modules also can be obtained by multiplying quadratic form of two adjacent conbinability vectors recursively. Our proposed RMT configuration generating method can be successfully applied to determining all of possible machine configurations from several modules or components at conceptual- or preliminary- design stage.

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