• IE interfaces
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• v.8 no.3
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• pp.171-185
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• 1995

유한 요소 시스템 행렬의 프로파일을 줄일 수 있는 새로운 절점 번호 자동부여 알고리즘을 개발하였다. 이 알고리즘은 절점 연결 행렬 압축 기법과 웨이브 프론팅 개념에 의한 번호 부여 기법을 복합한 방법으로 알고리즘이 간단, 명료하다. 대표적인 유한 요소 모델을 선정하여 본 알고리즘과 기존 알고리즘을 비교하였다. 새로운 알고리즘의 번호 부여 시간은 기존의 우수한 알고리즘과 비슷하였으나 프로파일 크기는 작았다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.14 no.1
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• pp.29-34
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• 2001

구조물설계에 있어서 영향선은 최대반력, 최대전단력, 최대휨모멘트 등을 계산하는데 아주 유용하게 사용된다. 모멘트분배법, 인도행렬법, 전달행렬법, 그리고 Muller-Breslau 원리에 의한 단순보와 연속보의 영향선은 잘 알려져 있고 또 교량공학에서 널리 사용되고 있다. 그러나 변위를 허용하는 특별한 구조물의 영향선을 계산할 경우에는 약간의 어려움이 있다. 이 연구에서는 절점변위를 허용하는 문형라멘의 영향선을 전달행렬법에 의하여 구하고 유한요소법에 의하여 얻은 영향선과 비교하였고 그 결과는 좋은 일치를 보이고 있다.

• Journal of the Korean Society of Manufacturing Technology Engineers
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• v.7 no.6
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• pp.110-116
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• 1998

For the vibration analysis of 3-dimensional piping system containing fluid flow, a transfer matrix method is presented. The fluid velocity and pressure were considered, that coupled to longitudinal and flexural vibrations. Transfer matrices and point matrices were derived from direct solutions of the differential equations of motion of pipe conveying fluids, and the variations of natural frequency with flow velocity for 3-dimensional piping system were investigated.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.12 no.1
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• pp.1-8
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• 1992

A method analizing contact pressure between plate and elastic half space is presented by using F.E.M. With the method, the pressure intensities at surface nodes of half space cae be directly calculated by using flexibility matrix of half space. The method is originally presented by Y.K. Cheung et al.(3) Insted of Y.K. Cheung's method, which use a conception of equi-contact pressure area around each surface nodes of half space in the noded rectanqular element area. We use the equi-contact pressure area around the Gaussian integration points of half space surface in the noded isoparametric element area. Numarical examples are presented and compared with other's studies.

• Journal of Korean Society of Steel Construction
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• v.18 no.3
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• pp.349-359
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• 2006

This paper presents a new block stiffness matrix for the analysis an orthogonal Cartesian coordinate system. The displacement fields are defined using the first order shear deformable beam theory. The longitudinal displacement can be expressed as the sum of the projected plane deformation of the cross-section due to Timoshenko's beam theory and axial warping deformation due to modified Vlasov's thin-waled beam theory. The derived element takes into account flexural shear deformation and torsional warping deformation. Three different types of beam elements, namely, the two-noded, three-noded, and four-noded beam elements, are developed. The quadratic and cubic elements are found to be very efficient for the flexural analysis of laminated composite beams. The versatility and accuracy of the new element are demonstrated by comparing the numerical results available in the literature.

• Journal of Korean Society of Steel Construction
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• v.18 no.6
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• pp.727-735
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• 2006

In this paper, a geometric nonlinear analysis procedure of the beam-column element including multi-noded cable element in extension of companion paper (Kim et al., 2005) is presented. First, a stiffness matrix was derived about the beam-column element that considers the second effect of the initial force supposing the curved shape at each time-step, with Hermitian polynomials as the shape function. Second, the multi-noded cable element was also subjected to the tangent stiffness matrix. To verify the geometric nonlinearity of this newly developed multi-noded cable-truss element, the Innovative Prestressed Support (IPS) system using this theory was analysed by geometric nonlinear method and the results were compared with those produced by linear analysis.

• Proceedings of the Korea Society for Industrial Systems Conference
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• 1999.05a
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• pp.53-57
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• 1999

본 논문에서는 입출력간의 연관관계가 트리구조로 표현되는 DTG(Directed tree graph)에 의한 고속병렬다치논리회로를 설계하는 알고리즘과 DTG의 각 절점에 코드를 할당하는 알고리즘을 제안한다. 임의의 절점을 갖는 DTG에 대하여 본 논문에서는 절점들이 매개변수에 의하여 표현될 때 양의 정수로 표현되도록 논리레벨 P를 할당하고 각 레벨에 각기 다른 잉여절점을 추가하여 회로를 설계한다. 또한, 절점들의 입출력 관계를 단지 하나의 매개변수 m$_{i}$를 이용하여 전달행렬 A를 구하기 때문에 더 빠르고 간단하게 회로를 설계할 수 있다. 본 논문에서 제안한 알고리즘은 Nakajima 등에 의해 제안된 알고리즘으로는 설계가 가능하지 않았던 임의의 절점을 가지는 DTG에 대해서도 회로를 설계할 수 있는 장점이 있다. 또한, 자연수 내에서 선형성, 정규성, 및 가시적인 장점을 가지며 절점수의 감소를 통한 처리속도의 향상, 회로 구성의 간략화 및 비용절감등의 장점등이 있다.

• Journal of the Korea Society of Computer and Information
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• v.17 no.9
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• pp.9-16
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• 2012

In this paper, we propose the two dimensional variable-length vector storage format which can be used for efficient storage of sparse matrix in the FEM (finite element method). The proposed storage format is the method storing only actual needed non-zero values of each row on upper triangular matrix with the total rows N, by using two dimensional variable-length vector instead of $N{\times}N$ large sparse matrix of entire equation of finite elements. This method only needs storage spaces of the number of minimum 1 to maximum 5 in 2D grid structure and the number of minimum 1 to maximum 14 in 3D grid structure of analysis target. The number doesn't excess two times although involving index number. From the experimental result, we can find out that the proposed storage format can reduce the memory space more effectively, as the total number of nodes increases, than the existing skyline storage format storing maximum column height.

• 전기의세계
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• v.14 no.4
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• pp.28-35
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• 1965

Kirchhoff는 유향성 선형 graph에 포함되어 있는 입상기하학적인 특성, 즉 주어진graph의 모든 정점과 변들의 연결상태를 0, +1, -1의 세가지 수자로 된 소위 incidence행렬란 개념으로 집약시켰다. 본 고에서는 Incidence Matrix, Tie-set Matrix과 연결지 전류(link current), Cut-set Matrix과 절점대 전압(Node pair voltage), Tie-set및 cut-set행렬의 선형변환, Duality(쌍대성)

• Journal of Korean Society of Steel Construction
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• v.17 no.4 s.77
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• pp.449-457
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• 2005

A multi-noded cable element allowing sliding at its nodes without frictions was introduced in this paper, and its elastic stiffness matrix was derived. A two-node truss element was briefly summarized and extended to multi-node, cable-truss elements that keep their tension constant but are connected without frictions through several nodes. The element elastic stiffness matrix of the multi-node,cable-truss elements was consistently derived. The steel wales pre-stressed externally in the IPS system were chosen as numerical examples and analyzed under various loading conditions. The cable tensions calculated using the present element were compared with the results of the flexibility method and those using the two-node truss element, respectively.