• Title/Summary/Keyword: 수치적 반복법

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An efficient technique to generate reusable matrix to solve a problem in the engineering field (공학문제 해결을 위한 프로그램에서의 재사용이 가능한 Matrix의 효율적 자동생성기법)

  • Lee, Mi-Young
    • The KIPS Transactions:PartD
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    • v.10D no.7
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    • pp.1145-1148
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    • 2003
  • We show the mixed finite element method which induces solutions that has the same order of errors for both the gradient of the solution and the solution itself. The technique to construct an efficient reusable matrix is suggested. Two families of mixed finite element methods are introduced with an automatic generating technique for matrix with my order of basis. The generated matrix by this technique has more accurate values and is a sparse matrix. This new technique is applied to solve a minimal surface problem.

A study on unequal probability sampling over two successive occasions in time series (시계열 계속 표본조사에서 불균등확률 추출법 연구)

  • 박홍래;이계오
    • The Korean Journal of Applied Statistics
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    • v.6 no.1
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    • pp.145-162
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    • 1993
  • We review sampling schemes on successive occasions with partial replacement of units and propose a Rao-Hartley-Cochran(RHC) type's sampling scheme over two successive occasions with probability proportionate to observations on the previous occasion. For comparison of the reviewed and proposed sampling schemes, optimal estimator of population mean on second occasion and its variance are derived. The relative efficiency of the proposed sampling scheme is compared with other equal and unequal probability sampling scheme by theoretical and numerical simulation study. For simulation study, three artificial populations are generated by a time series model. It is observed that RHC type's sampling scheme has small variance and deviation in general.

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An Analysis of Coupled Wind-Structure Interaction (바람과 구조물의 상호작용 해석)

  • 이재석;김종대
    • Computational Structural Engineering
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    • v.7 no.2
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    • pp.4-10
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    • 1994
  • 컴퓨터 성능과 전산유체역학 분야는 지속적으로 발전하고 있으므로 이에 따라 유체의 유동장은 더욱 정확하고 상세히 묘사할 수 있게 될 것이며, 더불어 ALE유한요소법 등과 같은 유체-구조 상호작용해석 기법이 발전해 나갈 것이다. 따라서, 현재 수행되고 있는 풍동실험은 다양한 모형제작으로 인한 비용문제와 완성된 모형의 정밀도 문제, 각 모형에 대한 반복적인 실험과정 등 적절한 설계형상을 선택하는 과정에서 효율성이 낮은 경우가 많으므로 수치해석에 의한 내풍안정성 평가과정을 병행함으로써 실험의 효율성이 낮은 부분을 보완, 최소화할 수 있을 것이다. 특히 적은 비용 및 시간내에 개략적인 내풍안정성 파악이 요구되는 개념설계 및 초기설계단계에 근사적인 내풍안정성 검토 기술로서 결과적으로 활용될 수 있을 것이다. 또한 수치해석기법의 가장 큰 장애요인었던 유체 유동장의 모사정도가 향상됨에 따라 수치해석에 의한 장대구조물의 내풍안정성해석은 앞으로 상당한 발전이 있을 것으로 전망된다.

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Structural Layout Design for Concrete Structures Based on the Repeated Control Method by Using Micro Lattice Truss Model (마이크로 격자트러스모델을 이용한 반복강성제어법에 의한 콘크리트 구조형태의 최적화)

  • Choi, Ik-Chang;Ario, Ichiro
    • Journal of the Korea Concrete Institute
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    • v.20 no.6
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    • pp.705-712
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    • 2008
  • This study carried out simulation for structural layout design for concrete structures by using the models of the ground structure method. The micro lattice truss is modeled as assemblage of a number of unit cells. The progress of analysis repeat to undergo finite element analysis to feed-back results of stress to the stiffness of each member. Through the repeated this analysis, truss model is represented to form the topological materials and the structural shape with the use of the local stress condition without mathematical optimum tools. It is successful to analyse the shape-layout problem as numerical samples on the lattice truss model.

Analysis on Tension Response of Mooring Line by Lateral Excitation (수평가진에 의한 계류라인의 장력응답 해석)

  • Jung Dong Ho;Kim Hyeon Ju;Moon Deok Su;Park Han Il;Choi Hak Sun
    • Journal of the Korean Society for Marine Environment & Energy
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    • v.7 no.4
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    • pp.185-191
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    • 2004
  • A mooring system can be applied to keep the position of a floating structures. In this study, the structural analysis is carried out to analyze the dynamic characteristics of a mooring line for a floating breakwater. A three-dimensional equations of motion for a submerged chain are derived. Bending stiffness is considered for the necessary restoring force in the regions of zero tension. A fortran program is to be developed by employing finite difference method. In the algorithm, an implicit time integration and Newton-Raphson iteration are adopted. The results of simulation show good agreement in tension response pattern with the experimental results of a reference. The results of this study can contribute for the design of mooring system for a floating breakwater.

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Numerically Stable Subspace Iteration Method (수치적으로 안정한 부분공간 반복법)

  • 정형조;김만철;박선규;이인원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.84-91
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    • 1998
  • A numerically stable technique to remove tile limitation in choosing a shift in the subspace iteration method with shift is presented. A major difficulty of the subspace iteration method with shift is that because of singularity problem, a shift close to an eigenvalue can not be used, resulting in slower convergence. This study selves the above singularity problem using side conditions without sacrifice of convergence. The method is always nonsingular even if a shiht is an eigenvalue itself. This is one of tile significant characteristics of the proposed method. The nonsingularity is proved analytically. The convergence of the proposed method is at least equal to that of the subspace iteration method with shift, and the operation counts of above two methods are almost the same when a large number of eigenpairs are required. To show the effectiveness of the proposed method, two numerical examples are considered

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The Mixed Finite Element Analysis for Porous Media using Domain Decomposition Method (영역 분할기법을 이용한 포화 다공질매체의 혼합유한요소해석)

  • Lee, Kyung-Jae;Tak, Moon-Ho;Kang, Yoon-Sik;Park, Tae-Hyo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.4
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    • pp.369-378
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    • 2010
  • The mixed finite element analysis is the most widely used method for saturated porous media. Generally, in this method, direct method and iterative method are proposed to obtain unknown variable, however, the iterative method is recommended because the method provide numerical stability and accuracy under the material properties for solid and fluid are different. In this paper, we introduce staggered method which has strong numerical stability, and FETI(Finite Element Tearing and Interconnecting) which is one of decomposition methods are applied into the method in order to obtain numerical efficiency. In which, Lagrange Multipliers and conjugated gradient method to solve decomposed domain are proposed, and then, the proposed method is verified numerical efficiency by point to point MPI(Message Passing Interface) library.

여명궤도의 반복지상궤적 유지를 위한 궤도최적화 S/W 개발

  • Yun, Jae-Cheol;Jeong, Ok-Cheol;Lee, Byeong-Seon;Hwang, Yu-Ra
    • Bulletin of the Korean Space Science Society
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    • 2009.10a
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    • pp.26.3-27
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    • 2009
  • 한 기의 영상레이더 위성을 이용하여 동일한 촬영지역에 대해 적절한 기선벡터(Baseline)을 유지하는 두 장(scene)의 영상을 획득하여 그 지역의 정밀 표고차를 추출하는 레이더 간섭계(Interferometry) 임무를 수행하기 위해서는 반복지상궤적을 유지하도록 위성의 궤도를 주기적으로 조정해 주어야 한다. 이 연구에서는 반복지상궤적 유지 정밀도를 극대화시키기 위하여 최적의 기준궤도를 생성하고 이를 유지하기 위한 속도증분 및 궤도 조정 일정을 산출할 수 있는 궤도최적화 S/W 를 개발하였다. 이 연구의 최적 궤도 설계 문제는 다음과 같다. "시작시간 $T_0$에서 초기 접촉궤도 상태벡터 (ECEF 위치 및 속도벡터) $x_0$이고, 지상궤적반복주기 p 이후의 시간 $T_0+p$에서도 초기 접촉궤도 상태벡터와 동일한$x_0$가 되도록 궤도를 유지하려고 할 때, 여명 궤도(dawn-dusk and sun-synchronous orbit)에서 운영되는 위성의 연료소모(또는 속도증분)를 최소화시키는 가상의 궤도조정(maneuver) 횟수, 시기, 크기를 찾아라." 이 연구에서는 궤도최적화 문제를 풀기 위하여 GRACE 중력모델(GGM02C)이 적용된 수치적 방법의 위성궤도예측 알고리즘을 시스템 설계에 적용하였고, 매개변수 최적화 방법 중 구속조건이 있는 비선형 최적화 기법의 하나인 연속 2차 계획법(sequential quadratic programming)을 사용하여 해를 구하였다. 개발된 궤도최적화 S/W의 성능을 분석하기 위하여 고도 550km의 여명궤도를 돌며 지상궤적반복주기가 28일인 영상레이더 위성에 대해 적용하였다. 해석 결과를 통해, 비록 시스템의 비선형이 큼에도 불구하고 최소의 속도증분으로 정밀한 반복지상궤적이 유지됨을 알 수 있었다.

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The As-removal Effects of Pyrite Including Arsenopyrite after Process for Use in Medicine. (유비철석을 함유하는 황철석 약광물의 수치 후 비소 제거효과)

  • Hwang, Jung;Heo, Soon-Do
    • Economic and Environmental Geology
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    • v.36 no.6
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    • pp.537-543
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    • 2003
  • As pyrite is commonly associated with arsenopyrite, the use of pyrite including arsenopyrite for medicine requires close attention on arsenic toxicity. The toxicity was reduced by traditional processing operations include heating and quenching in vinegar. To verify the scientific effects of this process, pyrite containing many crystals of arsenopyrite was processed at temperatures from 45$0^{\circ}C$ to 85$0^{\circ}C$ and through as many as 5 processing cycles. Arsenopyrite completely disappeared when processed only once at $650^{\circ}C$ while it remained even after 5 processing cycles at 45$0^{\circ}C$. Arsenic was most abundant in medicinal mineral samples processed at 45$0^{\circ}C$ and sharply decreased when processed at $650^{\circ}C$ or 85$0^{\circ}C$ And arsenic extraction test in water was carried out from the processed pyrite medicine on the assumption that pyrite medicines with the lowest As metal content would be most desirable. Arsenic were most abundant in water extracted from medicinal mineral samples processed at 45$0^{\circ}C$ and sharply decreased when processed at $650^{\circ}C$ or 85$0^{\circ}C$. But the extracted As concentrations in water exceeded drinking water standards even when processed at 85$0^{\circ}C$. Increasing temperature promoted elimination of arsenopyrite and reduction of As in medicinal minerals and the extraction solutions. But the effects of processing cycles at the same processing temperature were not clear. Heating temperature is more important than number of processing cycles for the removal of arsenic, and it is necessary to heat pyrite to over $650^{\circ}C$ to remove it.

고속선의 동적응답

  • 김사수
    • Bulletin of the Society of Naval Architects of Korea
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    • v.31 no.3
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    • pp.25-27
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    • 1994
  • 선박의 고속화, 경량화, 전문화 및 대형화의 촉진과 더불어 신형식 선박의 출현으로 기존의 해 석방법과 같은 개념으로는 새로운 문제점에 대한 해결이 불가능하다. 따라서 이와 같은 새로운 외력환경에 대한 신형식 선박에 구애받지 않고 범용으로 이용이 가능할 수 있게 하기 위해서는 하중의 공간적 분포와 시간적 변화에 대한 정보를 정도 높게 추정할 수 있는 방법이 바람직하 다고 본다. 이를 해결할 수 있는 유일한 방법은 우리가 지금까지 소흘하여 왔던 반복적 실험이 뒷받침되어, 수치이론의 모델화 과정에서나 물리현상 설정과정에서 내재하게 되는random한 불확실성을 정량적으로 파악해 두어야 신형식 선박 개발에 신뢰할 수 있는 동적 응답해석이 가 능해질 것이다.

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