• Journal of Welding and Joining
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• 제7권1호
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• pp.36-41
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• 1989

Among various calculation methods for residual stresses, inherent strain method can be useful one for its simplicity. In comparison with finite element method, it is more economical and efficient. First, inherent strain is assumed, and then incompatibility can be calculated from this inherent strain. Based on collocation method, incompatibility equation is solved assuming stress functions which satisfies boundary conditions. Assumed inherent strain can be determined through iterations on the condition that longitudinal residual stress in centerline is yield stress and transverse distortion is the same as predicted one from other method. Calculated results according to this analytic method yield good agreement with experimental ones.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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• pp.474-477
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• 1996

In this paper, a numerical method is developed to solve the 2 dimensional missile/target persuit-evasion game. The numerical solver for the problem is composed of two parts: parametrization of the kinematic equations of motion using collocation and optimization of the parametrized minimax problem using a nonlinear programming. A numerical example is solved to verify the performance of the proposed numerical scheme.

• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 1995년도 춘계학술대회 논문집
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• pp.573-577
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• 1995

An integration method for the hypersingular kernels, in the boundary integralequations used for the solution of crack-like problems in elasticity, has been developed. To isolate the stronger singularities, the actual boundaries are replaced by the smoothly curved auxiliary boundaries which provide the detoured, non-singular integration paths. The auxiliary boundary can be interpreted as a contracted form of the actual boundaries except for the singular element where the collocating point is located. For an optimal integration path for every singular collocation point, the auxiliary boundary may have different shape depending on the position of the collocation point on the singular element.

• 정보과학회 논문지
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• 제44권11호
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• pp.1165-1177
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• 2017

소프트웨어 개발 진행 시 개발자는 다양한 방법으로 API의 사용 방법을 검색하지만, 원하는 검색 결과를 얻지 못하는 경우가 많다. 이러한 문제를 해결하기 위해, 본 연구에서는 추상구문트리의 연어 관계를 이용하여 API 패턴을 추출하고 이를 추천하는 시스템 JACE(Java AST Collocation-pattern Extractor)를 개발하였다. JACE는 자바 추상구문트리를 분석하여 API 호출 노드를 추출한 후, 노드 간 연어 관계를 분석하고 연어 관계 사전을 구축한다. 구축된 연어 관계 사전을 이용하여 연어 관계 리스트를 생성하고 이것을 패턴으로 정의한다. 정의된 패턴은 이클립스 플러그인으로 제작된 테스트 프로그램을 통하여 사용자 요청 시 추천된다. 실험을 위해 794개의 오픈소스 프로젝트를 분석하였고, 약 1천 5백만개의 API 호출 노드를 추출하여 실험하였다. 결과적으로, 기존 검색 시스템들보다 더 유용한 예제 코드 및 사용법을 제시하였다.

• Structural Engineering and Mechanics
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• 제66권5호
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• pp.557-568
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• 2018

An investigation is made in the present work on the post-buckling and geometrically nonlinear behaviors of moderately thick perfect and imperfect rectangular plates made-up of functionally graded materials. Spectral collocation approach based on Legendre basis functions is developed to analyze the functionally graded plates while they are subjected to end-shortening strain. The material properties in this study are varied through the thickness according to the simple power law distribution. The fundamental equations for moderately thick rectangular plates are derived using first order shear deformation plate theory and taking into account both geometric nonlinearity and initial geometric imperfections. In the current study, the domain of interest is discretized with Legendre-Gauss-Lobatto nodes. The equilibrium equations will be obtained by discretizing the Von-Karman's equilibrium equations and also boundary conditions with finite Legendre basis functions that are substituted into the displacement fields. Due to effect of geometric nonlinearity, the final set of equilibrium equations is nonlinear and therefore the quadratic extrapolation technique is used to solve them. Since the number of equations in this approach will always be more than the number of unknown coefficients, the least squares technique will be used. Finally, the effects of boundary conditions, initial geometric imperfection and material properties are investigated and discussed to demonstrate the validity and capability of proposed method.

• 대한기계학회논문집
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• 제11권6호
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• pp.895-903
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• 1987

본 연구에서는 참고문헌 (16)과 (17)에서 등방성과 이방성에 각각 처음으로 제시한 수정 사상 선점법(modified mapping-collocation method)을 이용해서 직교 이 방성 무한 평판 내부의 원공 주위 균열 문제에 대한 혼합모우드 응력 강도 계수를 구 하고자 한다. 본 문제는 기하학적으로 복잡하고 재료의 이방성이 강하기 때문에 해 가 아직 보고되어 있지 않다. 먼저 이론적 해석을 전개함으로써 규열 면에서의 무부 하 조건과 무한점에서의 경계 조건을 완전하게 만족시킨다. 그 후 나머지 원공 경계 에 최소 자승 선점 과정(least square collocation procedure)을 적용하여 근사해를 얻게 된다. 균열 선단 응력 특이성에 미치는 원공 경계 및 이방성의 효과를 알아보 기 위해서 여러가지 형태의 적층판에 대한 응력 강도 계수를 무차원화된 균열 길이의 함수로 나타내 보았다.

• 한국수자원학회:학술대회논문집
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• 한국수자원학회 2023년도 학술발표회
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• pp.180-180
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• 2023

To improve global risk management, understanding the characteristics and distribution of precipitation is crucial. However, obtaining spatially and temporally resolved climatic data remains challenging due to sparse gauge observations and limited data availability, despite the use of satellite and reanalysis products. To address this challenge, merging available precipitation products has been introduced to generate spatially and temporally reliable data by taking advantage of the strength of the individual products. However, most of the existing studies utilize all the available products without considering the varying performances of each dataset in different regions. Comprehensively considering the relative contributions of each parent dataset is necessary since their contributions may vary significantly and utilizing all the available datasets for data merging may lead to significant data redundancy issues. Hence, for this study, we introduce a site-specific precipitation merging method that utilizes the Quadruple Collocation (QC) approach, which acknowledges the existence of error-cross correlation between the parent datasets, to create a high-resolution global daily precipitation data from 2001-2020. The performance of multiple gridded precipitation products are first evaluated per region to determine the best combination of quadruplets to be utilized in estimating the error variances through the QC approach and computation of merging weights. The merged precipitation is then computed by adding the precipitation from each dataset in the quadruplet multiplied by each respective merging weight. Our results show that our approach holds promise for generating reliable global precipitation data for data-scarce regions lacking spatially and temporally resolved precipitation data.

• 대한기계학회논문집
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• 제16권10호
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• pp.1890-1899
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• 1992

본 연구에서는 이종재료간의 Ⅴ-노치균열의 노치각도 및 재료의 종류에 따른 응력특이성지수와 응력강도 계수 해석에 각각 뉴톤-랍슨법(newtonraphson method), 뉴톤-랍슨법과 최소자승법을 이용한 선점법(collocation method)인 수치해석적 방법을 응용하고, 광탄성 등색선 무늬를 컴퓨터 그래픽하여 응력특이성지수와 응력강도계수가 모우드(mode)에 미치는 특성과 경계요소법(boundary element method)으로 응력해석한 결과로써 선점법을 이용하여 응력강도계수를 해석하고 기존의 결과등과 비교, 검토하 고자 한다.

• Journal of applied mathematics & informatics
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• 제6권2호
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• pp.523-538
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• 1999

A new preconditioning method is investigated to reduce the roundoff error in computing derivatives using Chebyshev col-location methods(CCM). Using this preconditioning causes ration of roundoff error of preconditioning method and CCm becomes small when N gets large. Also for accuracy enhancement of differentiation we use a domain decomposition approach. Error analysis shows that for this domain decomposition method error reduces proportional to the length of subintervals. Numerical results show that using domain decomposition and preconditioning simultaneously gives super accu-rate approximate values for first derivative of the function and good approximate values for moderately high derivatives.

• 한국생산제조학회지
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• 제6권3호
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• pp.9-16
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• 1997

A numerical method based on the spectral collocation method is developed for the steady rotating flows in eccentric annulus. Steady flows between rotating cylinders are of interest on lubrication in large rotating machinery. Steady rotating flow is generated by the rotating inner cylinder with constant angular velocity. The governing equations for laminar flow are simplified from Navier-Stokes equations by neglecting the non-linear convection terms. Integrating the pressure round the rotating cylinder based on the half Sommerfeld method, the load on the cylinder is evaluated with eccentricity. The attitude angle and Sommerfeld variable are calculated from the load. It is found that those values are influenced by the eccentricity. The attitude and Sommerfeld reciprocal are decreased with eccentricity. As expected, the effect of the annular gap ratio on them is negligible.