• Title/Summary/Keyword: 반복 수렴성

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Study of a Mixed Finite Element Model for the Analysis of a Geometrically Nonlinear Plate (기하학적 비선형 판재 해석을 위한 혼합형 FE Model 연구)

  • Kim, Woo-Ram;Choi, Youn-Dae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.10
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    • pp.1427-1435
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    • 2010
  • A mixed finite element model was developed using the classical plate theory to analyze the nonlinear bending of a plate. The appropriate weight functions for the constraints integrated over the domain were determined by the Lagrange multiplier method by using the principle of minimum virtual energy; which provides the constitutive relations between force-like variables and strains. All of detail terms of element wise coefficient matrices and associate tangent matrices to be used in the Newton iterative method are presented. Then, the linear solutions of the current model and those of the traditional displacement model under the SS (simple support) boundary conditions were compared with the existing analytical solution. The post-processed images of the nonlinear results of the force-like variables are presented to show the continuity of the solutions at the joint of the element boundaries. Finally, the converged nonlinear finite element solutions of the current model are compared with those of existing traditional displacement model.

Plane Vertical Bvoyant Jets in Crossflow (가로흐름 수역에서 연직상향 평면부력\ulcorner)

  • Yun, Tae-Hun;Cha, Yeong-Gi;Kim, Chang-Wan
    • Proceedings of the Korea Water Resources Association Conference
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    • 1986.07a
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    • pp.131-145
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    • 1986
  • 흐름수역에서 연직상향으로 방류되는 평면부력\ulcorner의 거동이 연속방정식, 운동량방정식 및 추적물수송식의 기본방정식에 의하여 수치적으로 해석된다. 난류확산에는 Prandtld의 혼합거리이론을 도입한 난류수송모형이 이용된다. 수치해 과정은 기본방정식을 유함수(stream function)식, 와도수송(vorticity transport)식으로 변환한 후, \ulcorner방류속도와, 방류구폭 등으로 표현되는 변수와 흐름을 지배하는 무차원 매개변수를 도입하여 무차원 형태로 표현하는 부분과 successive under-relaxation과 Gauss-Seidel반복법으로 수행하는 부분으로 이루어진다. 적절한 relaxation 계수를 선정하므로써 안정되고 수렴성이 좋은 계산이 수행된다. \ulcorner방류 속도와 가로흐름 속도의 비가 속도비(Velocity ratio)로 정의되며 속도비가 8 - 15의 범위에서 부력\ulcorner으로 인한 주변흐름수역의 속도변화 온도상승범위, 흐름상태(유선) 및 와도가 조사되었으며 \ulcorner의 경로에 대하여 속도비와 방류밀도후르드수의 영향이 또한 조사되었다. \ulcorner중심선의 속도와 온도변화, 국부밀도후르드수의 변화가 구해지며 퍼짐율(dispersion ratio), 확산비(spreading rate)가 방류밀도후르드수, 국부밀도후르드수 및 방류구로부터의 경로의 항으로 해석되었다. 또한 속도와 온도 분포에 상사(similarity)가 존재함이 밝혀졌으며 본 연구와 같은 조건의 범위에서는 Gaussian분포를 이용한 적분형해석(intergal type analysis)이 가능한 것으로 사료된다.

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Comparison of Different Schemes for Speed Sensorless Control of Induction Motor Drives by Neural Network (신경회로망을 이용한 유도전동기의 속도 센서리스 방식에 대한 비교)

  • 국윤상;김윤호;최원범
    • The Transactions of the Korean Institute of Power Electronics
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    • v.5 no.2
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    • pp.131-139
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    • 2000
  • 일반적으로 시스템 인식과 제어에 이용하는 다층 신경회로망은 기존의 역전파 알고리즘을 이용한다. 그러나 결선강도에 대한 오차의 기울기를 구하는 방법이기 때문에 국부적 최소점에 빠지기 쉽고, 수렴속도가 매우 늦으며 초기 결선강도 값들이나 학습계수에 민감하게 반응한다. 이와 같은 단점을 개선하기 위하여 확장된 칼만 필터링 기법을 역전파 알고리즘에 결합하였으나 계산상의 복잡성 때문에 망의 크기가 증가하면 실제 적용할 수 없다. 최근 신경회로망을 선형과 비선형 구간으로 구분하고 칼만 필터링 기법을 도입하여 수렴속도를 빠르게 하고 초기 결선강도 값에 크게 영향을 받지 않도록 개선하였으나, 여전히 은닉층의 선형 오차값을 역전파 알고리즘에 의해서 계산하기 때문에 학습계수에 민감하다는 단점이 있다. 본 논문에서는 위에서 언급한 기존의 신경회로망 알고리즘의 문제점을 개선하기 위하여 은닉층의 목표값을 최적기법에 의하여 직접계산하고 각각의 결선강도 값은 반복최소 자승법으로 온라인 학습하는 알고리즘을 제안하고 이들 신경회로망 알고리즘과 비교하고자 한다. 여러 가지 시뮬레이션과 실험을 통하여 제안된 방법이 초기 결선강도에 크게 영향을 받지 않으며, 기존의 학습계수 선정에 따른 문제점을 해결함으로써 신경회로망 모델에 기초한 실시간 제어기 설계에 응용할 수 있도록 하였다. 또한, 유도전동기의 속도추정과 제어에 적용하여 좋은 결과를 보였다.

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Prediction of Steady Performance of a Propeller by Using a Potential-Based Panel Method (포텐셜을 기저로한 패널법에 의한 프로펠러의 정상 성능 해석)

  • Kim, Young-Gi;Lee, Jin-Tae;Lee, Chang-Sup;Suh, Jung-Chun
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.1
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    • pp.73-86
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    • 1993
  • This paper describes a potential-based panel method for the prediction of steday performance of a marine propeller operating in a uniform oncoming flow. An integral equation with unknown dipole strengths is formulated by distributing the normal dipoles and/or sources on the blade and hub surfaces and the wake sheet, and is solved numerically upon discretization. A hyperboloidal panel has been adopted to compute the potential induced by a normal dipole on a non-planar quadrilateral panel. The Kutta condition is satisfied by iteratively annulling the pressure jumps at the trailing edge. Extensive convergence tests are carried out, and the influence of the wake model upon performance is studied. Predicted performance is shown to correlate well with the experiments.

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Development of MLS Difference Method for Material Nonlinear Problem (MLS차분법을 이용한 재료비선형 문제 해석)

  • Yoon, Young-Cheol
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.3
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    • pp.237-244
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    • 2016
  • This paper presents a nonlinear Moving Least Squares(MLS) difference method for material nonlinearity problem. The MLS difference method, which employs strong formulation involving the fast derivative approximation, discretizes governing partial differential equation based on a node model. However, the conventional MLS difference method cannot explicitly handle constitutive equation since it solves solid mechanics problems by using the Navier's equation that unifies unknowns into one variable, displacement. In this study, a double derivative approximation is devised to treat the constitutive equation of inelastic material in the framework of strong formulation; in fact, it manipulates the first order derivative approximation two times. The equilibrium equation described by the divergence of stress tensor is directly discretized and is linearized by the Newton method; as a result, an iterative procedure is developed to find convergent solution. Stresses and internal variables are calculated and updated by the return mapping algorithm. Effectiveness and stability of the iterative procedure is improved by using algorithmic tangent modulus. The consistency of the double derivative approximation was shown by the reproducing property test. Also, accuracy and stability of the procedure were verified by analyzing inelastic beam under incremental tensile loading.

A Fault-Tolerant Linear System Solver in a Standard MPI Environment (표준 MPI 환경에서의 무정지형 선형 시스템 해법)

  • Park, Pil-Seong
    • Journal of Internet Computing and Services
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    • v.6 no.6
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    • pp.23-34
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    • 2005
  • In a large scale parallel computation, failures of some nodes or communication links end up with waste of computing resources, Several fault-tolerant MPI libraries have been proposed so far, but the programs written by using such libraries have a portability problem since fault-tolerant features are not supported by the MPI standard yet, In this paper, we propose an application-level fault-tolerant linear system solver that uses the asynchronous iteration algorithm and the standard MPI functions only, which does not have a portability problem and is more efficient by adopting a simplified recovery mechanism.

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A Study of optimal algorithm for high-speed process of image signal (영상신호의 고속처리를 위한 최적화 알고리즘에 대한 연구)

  • 권기홍
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.10
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    • pp.2001-2013
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    • 1994
  • In this paper, the method of processing a blurred noisy image has been researched. The conventional method of processing signal has faluts which are slow convergence speed and long time-consuming process at the singular point and or in the ill condition. There is the process, the Gauss Seidel's method to remove these faults, but it takes too much time because it processed singnal repeatedly. For overcoming the faults, this paper shows a image restoration method which takes shorter than the Gauss-Seidel's by comparing the Gauss Seidel's with proposed alogorithm and accelerating convergence speed at the singular point and/or in the ill condition. In this paper, the conventional process method(Gauss-Seidel) and proposed optimal algorithm were used to get a standard image($256{\times}56{\times}bits$). and then the results are simulated and compared each other in order to examine the variance of MSE(Mean Square Error) by the acceleration parameter in the proposed image restoration. The result of the signal process and the process time was measured at all change of acceleration parameter in order to verify the effectveness of the proposed algorithm.

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Study on Reducing Processing Time for Restoration Method (영상신호 복원의 처리 시간단축을 위한 알고리즘에 대한 연구)

  • 권기홍
    • Journal of the Korea Computer Industry Society
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    • v.2 no.6
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    • pp.817-826
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    • 2001
  • In this paper, the method of processing a blurred noisy signal has been researched. The conventional method of processing signal has faults which are slow-convergence speed and long time-consuming process at the singular point and in the ill condition. There is the process, the Gauss-Seidel's method to remove these faults, but it takes too much time because it processes signal repeatedly. For overcoming the faults, this paper shows a signal process method which takes shorter than the Tikhnov-Miller's by comparing the Tikhnov-Miller's with proposed algorithm and accelerating convergence speed at the singular point in the ill condition. In this paper, the conventional process method and proposed optimal algorithm were used to get a standard image (256 * 256 * 8bits),and then the results are simulated and compared each other in order to examine the variance of MSE ( Mean-Square Error ) by the acceleration parameter in the proposed two dimensional signal procedures. The result of the signal process and the processing time was measured at all change of acceleration parameter in order to verify the effectiveness of the proposed algorithm.

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Methods to Improve Convergence Rate of Statistical Reconstruction Algorithm in Transmission CT (투과형 CT에서 통계적 재구성 알고리즘의 수렴률 향상 방안)

  • Min-Gu Song
    • Journal of Internet of Things and Convergence
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    • v.10 no.3
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    • pp.25-33
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    • 2024
  • In tomographic image reconstruction, the focus is on developing CT image reconstruction methods that can maintain high image quality while reducing patient radiation exposure. Typically, statistical image reconstruction methods have the ability to generate high-quality and accurate images while significantly reducing patient radiation exposure. However, in cases like CT image reconstruction, which involve multi-dimensional parameter estimation, the degree of the Hessian matrix of the penalty function is very large, making it impossible to calculate. To solve this problem, the author proposed the PEMG-1 algorithm. However, the PEMG-1 algorithm has issues with the convergence speed, which is typical of statistical image reconstruction methods, and increasing the penalty log-likelihood. In this study, we propose a reconstruction algorithm that ensures fast convergence speed and monotonic increase in likelihood. The basic structure of this algorithm involves sequentially updating groups of pixels instead of updating all parameters simultaneously with each iteration.

Research about Urban Growth Model's Automation (도시성장모형의 시뮬레이션 자동화에 관한 연구)

  • Yun, Jeong-Mi;Park, Jeong-Wo
    • Journal of the Korean Association of Geographic Information Studies
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    • v.11 no.1
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    • pp.1-9
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    • 2008
  • Recently, various researches have been studied on the predict method of land change according to its development. The Cellular Automata(CA) is one of the most popular methods in the urban growth modeling. The basis principle of CA is to repeat operations, which convert the current cell into new cell state by the transaction rule. It will minimize the loss of data by using Fuzzy-AHP and it can lead the flexible urban growth modeling. However, AHP would have a disadvantage to repeat the procedure of the collecting intentions until it derives the weight. Also, it is necessary for the simulation of CA to repeat the operations and the test of data accuracy should be accompanied. The purpose of this study is to predict the Busan city growth model and analyze it according to the automated test method by applying CA as well as Fuzzy-AHP. This study shall improve the difficulties caused by complexity and repetitiveness in the urban grow modeling. The practical modeling could be derived from the verification, and the derived modules could be applied to the similar case studies.

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