• Title/Summary/Keyword: Collocation method

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Analysis of a Crack Approaching Two Circular Holes in an Orthotropic Infinite Plate (직교이방성 무한평판 내부의 두 원공사이에 존재하는 균열의 해석)

  • Cheong, S.K.;Hong, C.S.
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.7 s.94
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    • pp.1710-1718
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    • 1993
  • This paper investigates the problem of a crack approaching two circular holes in an orthotropic infinite plate. The stress intensity factors were obtained by using the modified mapping-collocation method. The present results show excellent agreement with existing solutions for a crack approaching two circular holes in an isotropic infinite plate. In the numerical examples, various types of cross-ply laminated composites were considered. To investigate the effect of orthotropy and geometry(d/R and a/(d-R)) on crack tip singularity, stress intensity factors were considered as functions of the normalized crack length. It is expected that the modified mapping-collocation method can be applied to the analysis of various kinds of cracks existing around the stress-concentration region of composite laminate.

A study of stress intensity factors at the crack tips in a finite plate (평판내의 직선 crack tip에서의 응력확대계수에 관한 연구)

  • 조선휘;조희복
    • Journal of the korean Society of Automotive Engineers
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    • v.4 no.1
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    • pp.31-39
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    • 1982
  • In this paper, the stress intensity factors at the crack tips in a finite plate having a straight crack with arbitrary lengths and directions are analyzed by means of Boundary Collocation Method in Cartesian coordinates under the following two cases. A) Case of only considering stress components at the boundary collocation points B) Case of considering stress resultant at the boundary, in addition to case of )A) and analyzed by means of F.E.M. To certify the Boundary Collocation Method the solutions of B.C.M. are compared with the solutions of F.E.M. demonstrates the simplicity of input data preparation and the reduction of cpu time against F.E.M.

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Stress Analysis of Linear Elastic Solid Problems by using Enhanced Meshfree Method based on Fast Derivatives Approximation (고속 도함수 근사화에 의해 개선된 무요소법을 이용한 선형탄성 고체문제의 응력해석)

  • 이상호;김효진;윤영철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.583-590
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    • 2002
  • Point collocation method based on the fast derivatives approximation of meshfree shape function is applied to solid mechanics in this study. Enhanced meshfree approximation with approximated derivative of shape function is reviewed, and formulation of linear elastic solid mechanics by point collocation method is presented. It implies that governing equation of solid mechanics with strong form is directly formulated without no numerical integration cells or grid. The regularity of weight function is not required due to a use of approximated derivative, so we propose the exponential type weight function that is discontinuous in first derivative. The convergence and stability of the proposed method is verified by passing the generalized patch test. Also, the efficiency and applicability of the proposed method in solid mechanics is verified by solving types of solid problems. Numerical results show that not only a use of proposed weight function leads lower error and higher convergence rate than that of the conventional weight functions, but also the improved collocation method with derivative approximation enables to compute the derivatives of shape function very fast and accurately enough to replace the classical direct derivative calculation.

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A Study on the Interaction of Segmented Hydraulic Fractures (다중으로 분할된 수압파쇄균열의 상호작용에 관한 연구)

  • Sim Young-Jong;Kim Hong-Taek
    • Journal of the Korean Geotechnical Society
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    • v.21 no.9
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    • pp.45-52
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    • 2005
  • Recent observations based on geological evidence and laboratory tests confirm that complex segmentation of hydraulic fractures is common phenomena. It is expected that the segmentation causes mechanical interaction between the fractures and affects fracture opening and measured net pressure. In this study, therefore, the opening of the fractures is computed using boundary collocation method to evaluate the mechanical interaction quantitatively. Also, improved boundary collocation method is suggested to evaluate the displacement of the fracture wall accurately and the reliability of this method is confirmed by comparing with that of the finite element method.

An Experimental Study on an Effective Word Sense Disambiguation Model Based on Automatic Sense Tagging Using Dictionary Information (사전 정보를 이용한 단어 중의성 해소 모형에 관한 실험적 연구)

  • Lee, Yong-Gu;Chung, Young-Mee
    • Journal of the Korean Society for information Management
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    • v.24 no.1 s.63
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    • pp.321-342
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    • 2007
  • This study presents an effective word sense disambiguation model that does not require manual sense tagging Process by automatically tagging the right sense using a machine-readable and the collocation co-occurrence-based methods. The dictionary information-based method that applied multiple feature selection showed the tagging accuracy of 70.06%, and the collocation co-occurrence-based method 56.33%. The sense classifier using the dictionary information-based tagging method showed the classification accuracy of 68.11%, and that using the collocation co-occurrence-based tagging method 62.09% The combined 1a99ing method applying data fusion technique achieved a greater performance of 76.09% resulting in the classification accuracy of 76.16%.

Far-Field Sound Field Estimation from Near-Field Sound Field Data Using Boundary Collocation Method ; Decision of Optimum Points of Measurement (경계 배치법(Boundary Collocation Method)에 의한 근거리 음장 자료로부터 원거리 음장의 예측 ; 최적 측정점 개수의 결정)

  • 김원호;윤종락
    • The Journal of the Acoustical Society of Korea
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    • v.18 no.6
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    • pp.31-37
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    • 1999
  • This paper describes the far-field estimation using the near-field measurement data. Measurement in far-field region gives us the acoustical characteristics of the source but in general measurement is made in near-field such as acoustic water tank or anechoic chamber, so far-field acoustical characteristics of the source should be predicted from near-field data. In this case, the number of measurement points in the near field which relates to the accuracy of the predicted field and the amount of data processing, should be optimized. Existing papers say that measurement points is proportional to kL and depends on geometry and directivity of the source. But they do not give us any definite criterion for the required number of measurement points. Boundary Collocation Method which is one of the far-field prediction methods, is analyzed based on Helmholtz integral equation and Green function and it has been found that the number of measurement points is optimized as 0.54kL which is about one half of the existing results.

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Analysis of 2-D Potential Problem with L-shape Domain by p-Convergent Boundary Element Method (p-수렴 경계요소법에 의한 L-형 영역을 갖는 2차원 포텐셜 문제 해석)

  • Woo, Kwang-Sung;Jo, Jun-Hyung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.1
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    • pp.117-124
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    • 2009
  • The p-convergent boundary element method has been proposed to analyze two-dimensional potential problem on the basis of high order Legendre shape functions that have different property comparing with the shape functions in conventional boundary element method. The location of nodes corresponding to high order shape function are not defined along the boundary, called by nodeless node, similar to the p-convergent finite element method. As the order of shape function increases, the collocation point method is used to solve linear simultaneous equations. The collocation patterns of p-convergent boundary element method consist of non-symmetric hierarchial or symmetric non-hierarchical. As the order of shape function increases, the number of collocation point increases. The singular integral that appears in p-convergent boundary element has been calculated by special numeric quadrature technique and semi-analytical integration technique. The L-shape domain problem including singularity in the vicinity of reentrant comer is analyzed and the numerical results show that the relative error is smaller than $10^{-2}%$ range as compared with other results in literatures. In case of same condition, the symmetric p-collocation point pattern shows high accuracy of solution.

Methods of estimating improved fusion evapotranspiration using Triple Collocation method (Triple Collocation 방법을 이용한 개선된 융합증발산 산정 방법 제시)

  • Baik, Jongjin;Choi, Minha
    • Proceedings of the Korea Water Resources Association Conference
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    • 2019.05a
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    • pp.315-315
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    • 2019
  • 증산과 증발의 합으로 나타내지는 증발산은 지구내에서의 수문 순환에 영향을 미치는 중요한 인자로써, 지표와 대기의 에너지 교환을 담당하고 있다. 정확한 관측을 위해서 오래전부터 증발산에 대해서 관측하기 위하여 직접관측 방법들인 증발산계를 이용한 관측방법, 에디 공분산 방법을 이용한 플럭스타워 관측 방법 등을 사용하였으며, 물리 및 경험적인 방법인 Penman (1948), Monteith (1965) 방법, PT (Priestley and Taylor, 1972) 방법 등을 이용함으로써 증발산과 관계를 가진 수문기상인자를 이용함으로써 증발산에 대해서 추정하여 왔다. 대부분 지상 관측에 의존하기 때문에 시공간적인 값의 표현이 어렵다는 문제를 가지고 있으며, 관측 장비의 관리 및 유지비용이 증대로 인하여 조밀한 관측망을 구축하기 어렵다. 이러한 단점을 개선하고자 인공위성 및 재분석 자료를 활용하여 여러 경험식을 통해서 증발산 자료가 제공되고 있다. 그러나 이러한 자료들의 문제점은 각기 다른 경험식 및 다른 입력자료를 제공하고 있을 뿐만 아니라, 자료별 지역별 정확성이 차이가 발생한다. 따라서, 최근 연구에서는 지점자료와 인공위성 자료 및 재분석 자료를 모두 사용함으로써 수문기상인자를 개선하고자 하는 연구가 진행되어왔으며, 정확성 또한 개선된 것을 확인 할 수 있다. 그러나, 이러한 방법들의 가장 큰 문제점은 관측 자료가 필수적으로 필요하다는 것에 있다. 대부분의 나라나 지역에서는 조밀한 구축망을 구축하기 어렵기 때문에 실질적으로 적용하기가 어렵다는데 있다. 따라서 본 연구에서는 이러한 문제를 해결하기 위하여 지점자료가 필요없는 융합방법을 triple collocation 방법을 이용함으로써 제안하고자 한다.

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Stress Fields for the V-notched Crack and Fracture Parameters by Boundary Collocation Method (V-노치균열의 응력장과 경계배치법에 의한 파괴변수)

  • Pae, Jung-Pae;Choi, Sung-Ryul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.1
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    • pp.66-76
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    • 2003
  • The arbitrary V-notched crack problem is considered. The general expressions for the stress components on this problem are obtained as explicit series forms composed of independent unknown coefficients which are denoted by coefficients of eigenvector. For this results eigenvalue equation is performed first through introducing complex stress functions and applying the traction free boundary conditions. Next solving this equation, eigenvalues and corresponding eigenvectors are obtained respectively, and finally inserting these results into stress components, the general equations are obtained. These results are also shown to be applicable to the symmetric V-notched crack or straight crack. It can be shown that this solutions are composed of the linear combination of Mode I and Mode II solutions which are obtained from different characteristic equations, respectively. Through performing asymptotic analysis for stresses, the stress intensity factor is given as a closed form equipped with the unknown coefficients of eigenvector. In order to calculate the unknown coefficients. based on these general explicit equations, numerical programming using the overdetermined boundary collocation method which is algorithmed originally by Carpenter is also worked out. As this programming requires the input data, the commercial FE analysis for stresses is performed. From this study, for some V-notched problems, unknown coefficients can be calculated numerically and also fracture parameters are determined.

Practical Target Word Selection Using Collocation in English to Korean Machine Translation (영한번역 시스템에서 연어 사용에 의한 실용적인 대역어 선택)

  • 김성묵
    • Journal of Korea Society of Industrial Information Systems
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    • v.5 no.2
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    • pp.56-61
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    • 2000
  • The quality of English to Korean Machine Translation depends on how well it deals with target word selection of verbs containing enormous ambiguity. Verb sense disambiguation can be done by using collocation, but the construction of verb collocations costs a lot of efforts and expenses. So, existing methods should be examined in the practical view points. This paper describes the practical method of target word selection using existing collocation and semantic distance computed from minimum semantic features of nouns.

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