• 한국항해항만학회지
• /
• 제34권5호
• /
• pp.367-373
• /
• 2010

수치해석을 수행할 경우 좀 더 정확한 수치모의를 위하여 해석영역의 특성에 따라 적절하게 요소를 배치하는 것이 필요하다. 본 연구에서 사용한 개별요소법(DEM)은 입자의 마찰력 및 항력을 제외한 반발력과 인장력만을 적용하였다. 초기 쿼드트리(Quad-tree)형식으로 충진된 입자들을 DEM을 이용하여 재배치할 경우 입자의 형상이 원형이기 때문에 입자사이에 존재하는 빈 공간을 최소화 할 수 있다. 결국 입자 중심점의 배치가 정삼각형에 가깝게 되는 특징을 보여준다. 이 재배치된 입자를 대상으로 Delaunay 삼각기법을 이용하여 삼각망을 구성하고, Laplace 보간을 수행하여 격자 품질을 향상시켰다. Laplace 보간 전 후의 형상비(Aspect Ratio: AR)를 비교한 결과 DEM을 이용하여 작성한 격자의 품질도 우수하지만, Laplace보간을 수행한 이후 보다 높은 품질의 격자가 생성되는 것을 확인하였다. 본 연구에서 개발한 기법은 기존의 삼각격자망 생성기법에 비해 다소 계산시간이 오래 걸리는 단점이 있지만, 복잡한 형상과 정확한 지형의 재현을 필요로 하는 파랑 해석용 유한요소 격자망 작성 및 다양한 수치모의 분야에서 그 적용 가능성이 매우 높다고 사료된다.

• Journal of applied mathematics & informatics
• /
• 제25권1_2호
• /
• pp.17-33
• /
• 2007

Suppose F is an arbitrary field. Let ${\mid}F{\mid}$ be the number of the elements of F. Let $T_{n}(F)$ be the space of all $n{\times}n$ upper-triangular matrices over F. A map ${\Psi}\;:\;T_{n}(F)\;{\rightarrow}\;T_{n}(F)$ is said to preserve idempotence if $A-{\lambda}B$ is idempotent if and only if ${\Psi}(A)-{\lambda}{\Psi}(B)$ is idempotent for any $A,\;B\;{\in}\;T_{n}(F)$ and ${\lambda}\;{\in}\;F$. It is shown that: when the characteristic of F is not 2, ${\mid}F{\mid}\;>\;3$ and $n\;{\geq}\;3,\;{\Psi}\;:\;T_{n}(F)\;{\rightarrow}\;T_{n}(F)$ is a map preserving idempotence if and only if there exists an invertible matrix $P\;{\in}\;T_{n}(F)$ such that either ${\Phi}(A)\;=\;PAP^{-1}$ for every $A\;{\in}\;T_{n}(F)\;or\;{\Psi}(A)=PJA^{t}JP^{-1}$ for every $P\;{\in}\;T_{n}(F)$, where $J\;=\;{\sum}^{n}_{i-1}\;E_{i,n+1-i}\;and\;E_{ij}$ is the matrix with 1 in the (i,j)th entry and 0 elsewhere.

• 한국전산구조공학회:학술대회논문집
• /
• 한국전산구조공학회 1998년도 가을 학술발표회 논문집
• /
• pp.251-257
• /
• 1998

Spherical space frame structure with triangular network pattern, which has the various characteristics for the mechanic property, a funtional property, an aesthetic property and so on, has often been used as one of the most efficient space structures. It is expected that this type will be used widely in large-span structural roofs. But because this structure is made of network by combination of line elements there me many nodes therefore, the structure behavior is very complicated and there can be an overall collapse of structure by buckling phenomenon if the external force reaches a limitation. This kind of buckling is due to geometric shape, network pattern, the number of layer and so on, of structure. Therefore spherical space frame with triangle network pattern have attracted many designers and researchers attention all over the world. The number of layer of space frame is divided in to the simgle, double, multi layer. That is important element which is considered deeply in the beginning of structural design. The buckling characteristics of single-layer model and double-layer model for the spherical space frame structure with triangular network pattern are evaluated and the buckling loads of these types are compared with investigation their structural efficiency in this study.

• 한국정밀공학회:학술대회논문집
• /
• 한국정밀공학회 2004년도 추계학술대회 논문집
• /
• pp.886-889
• /
• 2004

A simple macro triangle with drilling d.o.f.'s is proposed for plane stress problems based on IET(Individual element test) and finite element template. Three-node triangular element has geometrical advantages in preprocessing but suffers from bad performance comparing to other shapes of elements -especially quadrilateral. Main purpose of this study is to construct a high-performance linear triangular element with limited supplementary d.o.f.'s. A triangle is divided by three sub-triangles with drilling d.o.f.'s. The sub-triangle stiffness come from IET passing force-lumping matrix, so this assures the consistency of the element. The macro element strategy takes care of the element‘s stability and accuracy like higher-order stiffness in the F.E. template. The resulting element fits on the uses of conventional three-node. Benchmark examples show proposed element in closed form stiffness from CAS (Computer algebra system) gives the improved results without more computational efforts than others.

• 대한수학회보
• /
• 제55권6호
• /
• pp.1713-1726
• /
• 2018

We study the one-sided regularity of matrices in upper triangular matrix rings in relation with the structure of diagonal entries. We next consider a ring theoretic condition that ab being regular implies ba being also regular for elements a, b in a given ring. Rings with such a condition are said to be commutative at regular product (simply, CRP rings). CRP rings are shown to be contained in the class of directly finite rings, and we prove that if R is a directly finite ring that satisfies the descending chain condition for principal right ideals or principal left ideals, then R is CRP. We obtain in particular that the upper triangular matrix rings over commutative rings are CRP.

• 대한기계학회논문집A
• /
• 제20권2호
• /
• pp.553-563
• /
• 1996

An algorithm for automatic mesh generation of two-dimensional arbitrary planar domain is proposed by using Delaunay triangulation algorithm. An efficient algorithm is proposed for the construction of Delaunay triangulation algorithm over convex planar domain. From the definition of boundary, boundary nodes are first defined and then interior nodes are generated ensuring the Delaunay property. These interior nodes and the boundary nodes are then linked up together to produce a valid triangular mesh for any finite element analysis. Through the various example, it is found that high-quality triangular element meshes are obtained by Delaunay algorithm, showing the robustness of the current method. The proposed mesh generation scheme has been extended to automatic remeshing, which is applicable to FE analysis including large deformation and large distortion of elements.

• 한국전자파학회:학술대회논문집
• /
• 한국전자파학회 2001년도 종합학술발표회 논문집 Vol.11 No.1
• /
• pp.140-144
• /
• 2001

This paper describes to extend the MLFMA(Multi-Level Fast Multipole Algorithm) for three-dimensional capacitance computation in the case of conductors embedded in an arbitrary dielectric medium. The triangular meshes are used and refined in the area which has heavy charge density. This technique is applied to the capacitance extraction of three-dimensional structures with multiple dielectrics. The results show good convergence with the comparable accuracy, and this adaptive technique coupled with MLFMA is useful to reduce computing time and the number of elements without additional computational efforts in large three dimensional problems.

• 한국소음진동공학회논문집
• /
• 제24권10호
• /
• pp.788-794
• /
• 2014

In this paper, the transient response analysis of the trapezoidal corrugated plate subjected to the pulse load is investigated by the theoretical method. Three types of pulse loads are considered: stepped, isosceles triangular and right triangular pulse loads. The corrugated plates can be represented as an orthotropic plate. Both the effective extensional and flexural stiffness of this equivalent orthotropic plate are considered in the analysis. The plate is stiffened by concentric stiffeners perpendicular to the corrugation direction. The stiffening effect is represented by the discrete stiffener theory. This theoretical results are validated by those obtained from 3D finite element analysis based on shell elements. Some numerical results are presented to check the effect of the geometric properties.

• 융합신호처리학회논문지
• /
• 제9권2호
• /
• pp.141-145
• /
• 2008

길이가 서로 다른 평행선로에 전류가 흐르는 경우, 커먼모드 전류(Common mode current)에 의한 전자파의 방사가 일어난다. 이러한 방사 원리를 이용하여 경량, 소형의 길이가 다른 2소자 선형 안테나가 제안되어 있다. 그러나 이 안테나의 경우 선으로 결합된 구조를 가지기 때문에 제작에 있어서 많은 제약이 따른다. 본 논문에서는 선형 안테나의 단점을 개선하고, 제작과 설계가 용이한 평면 기판에 길이가 다른 2소자 평면 안테나를 설계하고, 광대역(UWB: Ultra Wide Band)의 특성을 가지는 안테나를 설계하였다. 그리고 안테나 소자에 삼각형 패치 S, 노치, 테이퍼를 설계함으로서 방사특성은 다이 폴 안테나와 비슷하나 보다 넓은 대역에서 동작하는 안테나를 제작 할 수 있었다. 그 결과 비대역($VSWR{\le}2$)이 약 58%가 되었다.

• 자원환경지질
• /
• 제6권2호
• /
• pp.115-122
• /
• 1973

The writer intended to observe the relative mobility of elements in weathering process of granite, on the outskirts of IRI city at Jeollabukdo KOREA. He analysed fresh granites and weathered ones of Hwang-Dung granite mass and had following conclusions by the triangular diagrams and the oxidized variation diagrams of the analysis. 1) The increasing phenomena of $H_2O$ observed clearly in early and late stage of weathering processes. 2) Granites was weathered by physical weathering in early stage, and it was weathered by chemical weathering in late stage. 3) The ratio of $FeO/Fe_2O_3$, FeO/MgO, and $SiO_2/Al_2O_3$ decreased uniformly from early to late stage of weathering processes. 4) It was proved that weathering potential of granite was larger than that of basaltic rock. 5) The order of mobility in major elements was Ca, Na, K>Si>Mg>Fe, Al.