• Title/Summary/Keyword: triangular elements

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Laminar Convective Heat Transfer in Vertical Square Duct with Variational Symmetric Heat Flux (비균일 대칭성 열Flux인 수직 사각 닥트내의 층류조합대류 열전달 효과)

  • 김시영
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.18 no.1
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    • pp.47-53
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    • 1982
  • An analysis of convection, in a fully developed laminar steady flow through the vertical square duct under the condition of variational symmetric heat flux, is considered. Finite element solution algorithm by Galerkin's method with triangular elements and linear interpolation polynominals for the temperature and velocity profiles are derived for the vertical square duct. The comparison of temperature distribution due to variational symmetric heat flux in the duct were made with available the other data when the condition of peripheral heat flux were uniform and zero. Numerical values for the dimensionless temperatures and Nusselt numbers at selected Rayleigh numbers and pressure gradient parameters were obtained at a few nodal points for the vertical square ducts and effects of corner in the duct were investigated.

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Petrological Study on the Jecheon granite mass (제천(提川) 화강암체(花崗岩體)에 대(對)한 암석학적(岩石學的) 연구(硏究))

  • Kim, Yong Jun
    • Economic and Environmental Geology
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    • v.12 no.3
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    • pp.115-126
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    • 1979
  • The Jecheon granite mass has turtle-shape exposure of about $190km^2$ at vicinity of Jecheon-eup, and is elongated in the direction of NEE-SWW. It discordantly intrudes the Bakdalryong metamorphic rocks and the great limestone series(Samtaesan and Hungwolri formation) which belong to the pre-Cambrian and Ordovician, respectively. The mass is composed of five facies of different grain size; texture and charecteristic minerals. The five facies are (1) coarse grained biotite granodiorite, (2) fine grained hornblende biotite granodiorite, (3) coarse grained pink feldspar granodiorite (4) leucogranite, and (5) porphyritic biotite granite. The mutual relationship between each facies is intrusion in (1)-(2) and (2)-(3), but unknown in (3)-(4) and (4)-(5). 22 modal analyses and and 10 chemical analyses on more than a hundred of representative samples taken from the mass are listed as tables. Triangular plot of modal and normative Q-Kf-Pl of this mass show a continuous differentiation products from certain common magma by change of chemical composition and anorthite contents in plagioclase. The metamorphic facies of contact aureole in surrounding rocks adjacent to the granite body are corresponded to hornblende hornfels facies with mineral assemblages of wollastonite-diopside-calcite in calcareous rocks, and of quartz-biotite-muscovite-cordierite in argillaceous rocks. Variation of silica versus oxides of major elements shows that the mass is similar to the trend of Daly's average basalt-andesite-dacite-rhyolite which shows the trend of the fractional crystallization of magma, and is equivalent to the calc-alkali rock series by Peacock. AMF diagram shows that Jecheon granite mass is equivalent to normal diffentiation products such as skaergaard intrusion. The above evidences suggest that the Jecohon granite mass is normal differentiation products formed by fractional crystallization under relatively slow cooling condition.

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Analysis for Torsion of Hollow Beam by Least Squares and Boundary Elements Method (최소자승법 및 경계요소에 의한 중공단면 보의 비틀림 해석)

  • Kim, Chi-Kyung;Bae, Joon-Tai
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.2
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    • pp.175-182
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    • 2012
  • In this paper we are concerned with the performance of structural stability of torsion in square cross section of a beam with holes. The critical load is defined as the smallest load at which the equilibrium of the structure fails to be stable as the load is slowly increased from zero. The beams subjected to torsion are frequently encountered in general structures and these forces influence to the stability of structure. The boundary element method is found to be very efficient and accurate for the analysis of torsion problems including complex boundary conditions with respect to its simplicity and generality. In this paper, it is required to derive the boundary element formulation for torsion problem and integrate directly on the discrete boundary. To investigate the validity of the developed computer program, three distinctly solid cross-sections which are elliptical, rectangular and triangular one are analyzed, and comparisons are made with analytical approaches where these can also be used.

Two dimensional variable-length vector storage format for efficient storage of sparse matrix in the finite element method (유한요소법에서 희소행렬의 효율적인 저장을 위한 2차원 가변길이 벡터 저장구조)

  • Boo, Hee-Hyung;Kim, Sung-Ho
    • 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.

An efficient Decision-Making using the extended Fuzzy AHP Method(EFAM) (확장된 Fuzzy AHP를 이용한 효율적인 의사결정)

  • Ryu, Kyung-Hyun;Pi, Su-Young
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.6
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    • pp.828-833
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    • 2009
  • WWW which is an applicable massive set of document on the Web is a thesaurus of various information for users. However, Search engines spend a lot of time to retrieve necessary information and to filter out unnecessary information for user. In this paper, we propose the EFAM(the Extended Fuzzy AHP Method) model to manage the Web resource efficiently, and to make a decision in the problem of specific domain definitely. The EFAM model is concerned with the emotion analysis based on the domain corpus information, and it composed with systematic common concept grids by the knowledge of multiple experts. Therefore, The proposed the EFAM model can extract the documents by considering on the emotion criteria in the semantic context that is extracted concept from the corpus of specific domain and confirms that our model provides more efficient decision-making through an experiment than the conventional methods such as AHP and Fuzzy AHP which describe as a hierarchical structure elements about decision-making based on the alternatives, evaluation criteria, subjective attribute weight and fuzzy relation between concept and object.

The Relation between Place and Identity in Korea: A Preliminary Study for the Korean Studies (한국인(韓國人)의 장소(場所)와 정체성(正體性): 한국학(韓國學)을 위한 시론(試論))

  • Ryu, Je-Hun
    • Journal of the Korean Geographical Society
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    • v.47 no.1
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    • pp.1-12
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    • 2012
  • Based on the study of the lineage groups around Gyeongju City and the migrants from North Korea, it is recognized that any one of Korean group identities has not been naturally formed over a long time, but socially constructed. One of the project for the Korean human geography orienting toward Korean Studies is to examine, from the place perspective, the complicated and contested identities that modern Koreans are today sharing individually as well as in a group. From such an examination. it can explore specifically the future shape of the Korean identity upon which everybody can agree. To make the project successful, Korean Human Geography needs to start from the study of a specific place that would expose the triangular relations among the three elements: identity, place, ideology or power.

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A Study on the Therapeutic Mechanism of Line Drawing's Movement in Art Therapy (미술치료에서 선화(Line Drawing)의 운동성이 갖는 치료적 메커니즘 고찰)

  • Lee, Hyun-Jee;Chung, Yeo-Ju
    • The Journal of the Korea Contents Association
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    • v.22 no.9
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    • pp.497-509
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    • 2022
  • Lines are the oldest visual elements in human history and are closely related to human life and drawings and symbols drawn with lines on cave paintings and rocks have existed as alternative images for human survival. In arts the line reveals the core of the object within a short period of time and in art therapy it becomes a medium that can diagnose the client's psychological state and intervene therapeutically. However although line drawing has therapeutic importance in the process as well as diagnosis studies on its effectiveness and therapeutic characteristic have not been actively conducted. Therefore in this study the characteristics related to line art in art therapy are first derived through 'Triangular Verification of Theory', 'Qualitative Content Analysis', and 'Finding Common Parts' in domestic and foreign literature. As a result I will examine the Movement which is a key therapeutic element of line drawing in connection with the brain structure. Through this I will examine the therapeutic mechanisms that affect the body, brain and mind of the movement of line drawing and examine and suggest how it can be used in art therapy.

RINGS WITH A RIGHT DUO FACTOR RING BY AN IDEAL CONTAINED IN THE CENTER

  • Cheon, Jeoung Soo;Kwak, Tai Keun;Lee, Yang;Piao, Zhelin;Yun, Sang Jo
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.3
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    • pp.529-545
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    • 2022
  • This article concerns a ring property that arises from combining one-sided duo factor rings and centers. A ring R is called right CIFD if R/I is right duo by some proper ideal I of R such that I is contained in the center of R. We first see that this property is seated between right duo and right π-duo, and not left-right symmetric. We prove, for a right CIFD ring R, that W(R) coincides with the set of all nilpotent elements of R; that R/P is a right duo domain for every minimal prime ideal P of R; that R/W(R) is strongly right bounded; and that every prime ideal of R is maximal if and only if R/W(R) is strongly regular, where W(R) is the Wedderburn radical of R. It is also proved that a ring R is commutative if and only if D3(R) is right CIFD, where D3(R) is the ring of 3 by 3 upper triangular matrices over R whose diagonals are equal. Furthermore, we show that the right CIFD property does not pass to polynomial rings, and that the polynomial ring over a ring R is right CIFD if and only if R/I is commutative by a proper ideal I of R contained in the center of R.

Development of 2D Finite Element Model for the Analysis of Shallow Water Flow (천수흐름 해석을 위한 2차원 유한요소모형의 개발)

  • Seo, Il Won;Song, Chang Geun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.2B
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    • pp.199-209
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    • 2010
  • A finite element model for analyzing surface water flow was developed. Shallow water equation was discretized and solved by Galerkin and Newton-Raphson method. Triangular or rectangular elements can be mixed together to construct meshes. The algebraic equation was solved by frontal method which is very efficient in finite element problem. The developed model was applied to rectangular meandering channel with two bends and transverse velocities and water depth distributions were examined. High velocity was located near the inner bank at the apexes of the bends and velocity distribution was symmetrical about the centerline at the midsection of two bend and super elevation also occurred. Simulation results showed very good agreement with measured data. Another numerical simulation was carried out in mild, steep, adverse and abrupt bottom change slope and channels with weir. 12 water surface profiles of gradually varied flow were correct in terms of hydraulic interpretation.

Effect of perforation patterns on the fundamental natural frequency of microsatellite structure

  • Ahmad M. Baiomy;M. Kassab;B.M. El-Sehily;R.M. El-Kady
    • Advances in aircraft and spacecraft science
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    • v.10 no.3
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    • pp.223-243
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    • 2023
  • There is a burgeoning demand for minimizing the mass of satellites because of its direct impact on reducing launch-to-orbit cost. This must be done without compromising the structure's efficiency. The present paper introduces a relatively low-cost and easily implementable approach for optimizing structural mass to a maximum natural frequency. The natural frequencies of the satellite are of utmost pertinence to the application requirements, as the sensitive electronic instrumentation and onboard computers should not be affected by the vibrations of the satellite structure. This methodology is applied to a realistic model of Al-Azhar University micro-satellite in partnership with the Egyptian Space Agency. The procedure used in structural design can be summarized in two steps. The first step is to select the most favorable primary structural configuration among several different candidate variants. The nominated variant is selected as the one scoring maximum relative dynamic stiffness. The second step is to use perforation patterns reduce the overall mass of structural elements in the selected variant without changing the weight. The results of the presented procedure demonstrate that the mass reduction percentage was found to be 39% when compared to the unperforated configuration that had the same plate thickness. The findings of this study challenge the commonly accepted notion that isogrid perforations are the most effective means of achieving the goal of reducing mass while maintaining stiffness. Rather, the study highlights the potential benefits of exploring a wider range of perforation unit cells during the design process. The study revealed that rectangular perforation patterns had the lowest efficiency in terms of modal stiffness, while triangular patterns resulted in the highest efficiency. These results suggest that there may be significant gains to be made by considering a broader range of perforation shapes and configurations in the design of lightweight structures.