• Title/Summary/Keyword: Nodal Integration

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The Study on the Determination of the Contact Area of the Circular Plate Resting on Elastic Half-space under Axisymmetric Loading (탄성지반 위의 축대칭 하중을 받는 원판의 접촉응력 해석에 관한 연구)

  • 조현영;정진환;김성철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.10a
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    • pp.87-94
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    • 1997
  • The circular plate resting on Boussinesq's half-space model under axisymmetric loading is studied by a finite element procedure to evaluate the distribution of contact pressure between plate and elastic half-space. The displacement of half-space due to axisymmetric surface loading can be evaluated by double integration of Boussinesq's solution. On that case the analytical integration can be executed for the radial direction but the analytical integration for the circumferential direction is impossible and the numerical integration should be considered. With the radial integration we can get non-dimensional function. Then the numerical integration for the formula is executed for the circumferential direction and the results are approximated 5th order Polynomials by using the least square method. With these 5th order approximate formula, the flexibility matrix of half-space is constructed as the coefficient matrix of nodal contact pressure by the finite element procedures. Iteration procedures are attempted by using this method to determine the separated region.

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Development of three dimensional variable-node elements and their applications to multiscale problems (삼차원 다절점 유한요소의 개발과 멀티스케일 문제의 적용)

  • Lim, Jae-Hyuk;Sohn, Dong-Woo;Im, Se-Young
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.172-176
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    • 2008
  • In this paper, three dimensional linear conforming variable-finite elements are presented with the aid of a smoothed integration (a class of stabilized conforming nodal integration), for mnltiscale mechanics problems. These elements meet the desirable properties of an interpolation such as the Kronecker delta condition, the partition of unity condition and the positiveness of interpolation function. The necessary condition of linear exactness is fully relaxed by employing the smoothed integration, which renders us to meet the linear exactness in a straightforward manner. This novel element description extend the category of the conventional finite elements space to ration type function space and give the flexibility on the number of nodes of element which are fixed in the conventional finite elements. Several examples are provided to show the convergence and the accuracy of the proposed elements, and to demonstrate their potential with emphasis on the multiscale mechanics problems such as global/local analysis, nonmatching contact problems, and modeling of composite material with defects.

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A Study on Spatial Characteristics of Indoor Rest Zones in the Campus Buildings (대학 캠퍼스 건물 내부휴게공간의 공간적 특성에 관한 연구)

  • Park, Joon-Soo;Kim, Sung-Ah;Suh, Ki-Young;Park, Chang-Hui;Yi, Seong-Chang
    • Journal of the Korean Institute of Educational Facilities
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    • v.10 no.3
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    • pp.37-43
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    • 2003
  • This study investigates the physical characteristics of indoor rest zones using the Space Syntax Method. A conceptual framework is based on analysis of design works presented in competitions(544 rest zones of 24 buildings on 7 campuses). The analysis on the unit type of rest zones showed that they were mostly available as open type, followed by semi-open type and outdoor rest places. On the other hand, by classifying the shape of whole building into traffic lines and nodal points, it was found that the buildings with 3 or more traffic lines have lower availability than others, because the buildings required more nodal points along a little higher complexity and zoning formed at increased nodal points between building masses. The analysis on the location of rest zones on traffic lines showed that hall type was most excellent in the level of availability. Finally, the analysis on the floor height showed that hall-like open rest places and outdoor places like rooftop garden functioned as a factor to enhance the integration of different spaces. In conclusion, this research will help the follow-up studies make spatial creation planning that may enhance the spatial efficiency and availability of Indoor rest zones on the campus.

FUNDAMENTALS AND RECENT DEVELOPMENTS OF REACTOR PHYSICS METHODS

  • CHO NAM ZIN
    • Nuclear Engineering and Technology
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    • v.37 no.1
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    • pp.25-78
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    • 2005
  • As a key and core knowledge for the design of various types of nuclear reactors, the discipline of reactor physics has been advanced continually in the past six decades and has led to a very sophisticated fabric of analysis methods and computer codes in use today. Notwithstanding, the discipline faces interesting challenges from next-generation nuclear reactors and innovative new fuel designs in the coming. After presenting a brief overview of important tasks and steps involved in the nuclear design and analysis of a reactor, this article focuses on the currently-used design and analysis methods, issues and limitations, and current activities to resolve them as follows: (1) Derivation of the multi group transport equations and the multi group diffusion equations, with representative solution methods thereof. (2) Elements of modem (now almost three decades old) diffusion nodal methods. (3) Limitations of nodal methods such as transverse integration, flux reconstruction, and analysis of UO2-MOX mixed cores. Homogenization and related issues. (4) Description of the analytic function expansion nodal (AFEN) method. (5) Ongoing efforts for three-dimensional whole-core heterogeneous transport calculations and acceleration methods. (6) Elements of spatial kinetics calculation methods and coupled neutronics and thermal-hydraulics transient analysis. (7) Identification of future research and development areas in advanced reactors and Generation-IV reactors, in particular, in very high temperature gas reactor (VHTR) cores.

A Study on the Reasonable Standard of Location;allocation for a new administrative center in provincial area (광역지방행정중심지(廣域地方行政中心地)의 선정(選定)을 위한 합리적(合理的) 입지기준(立地基準)에 관(關)한 연구(硏究))

  • Yoon, Jun-Sang
    • Journal of Agricultural Extension & Community Development
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    • v.5 no.1
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    • pp.93-102
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    • 1998
  • The objectives of the study were 1) to make the reasonable standard, 2) to select the objective and scientific method and process for the location-allocation of a new provincial capital city. The Main standard of location-allocation were suggested as follows ; 1) Integration of province 2) Convenience of Administration service 3) Accomodations of new provincial capital city 4) Balanced development by region. The validity of location-allocation were reviewed the population potentials and nodal accessibilities. The population potential was examined to find the maximum point of administrative demand, and the locationallocation model was examined to find the minimum point of the aggregated travel-cost to a proposed provincial government office. The nodal accessibilities measured in travel-time distance and actual values. Two major concerns in locating public facilities are efficiency and equity.

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An adaptive analysis in the element-free Galerkin method using bubble meshing technique

  • 이계희;최창근;정홍진
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.04b
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    • pp.371-378
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    • 2000
  • In this study an adaptive node generation procedure in the Element-free Galerkin (EFG) method using bubble-meshing technique is proposed. Based on the error function that obtained by projected error estimation method, the initial node arrangement is defined along the background cell that is used in the numerical integration. To obtain the smooth nodal configuration, the nodal configuration are regenerated by bubble-meshing technique. This bubble meshing technique was originally developed to generate a set of well-shaped triangles and tetrahedra. Its basic idea is packing circles or spheres, called bubble, into the specified area or space naturally using some dynamic equations with attracting and repelling force. To demonstrate the performance of proposed scheme, the convergence behaviors are investigated for several problems.

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$F_N$-Based Nodal Transport Method in X-Y Geometry

  • Hong, Ser-Gi;Cho, Nam-Zin
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.11a
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    • pp.39-44
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    • 1996
  • A nodal transport method based on the F$_{N}$ method is developed for the transport calculation in x- y geometry and tested for benchmark problems. Using transverse integration, the two-dimensional transport equation is converted to one-dimensional equations for x, y-directions and the one-dimensional equations are integrated over azimuthal angle. With proper approximations for the transverse leakage, the one-dimensional equations are discretized by using the F$_{N}$ method without truncation error. At present, isotropic approximation of the transverse with a quadratic or flat shape in spatial variable is tested.ted.

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Extension of Source Projection Analytic Nodal $S_N$ Method for Analysis of Hexagonal Assembly Cores

  • Kim, Tae-Hyeong;Cho, Nam-Zin
    • Nuclear Engineering and Technology
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    • v.28 no.5
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    • pp.488-499
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    • 1996
  • We have extended the source projection analytic nodal discrete ordinates method (SPANDOM) for more flexible applicability in analysis of hexagonal assembly cores. The method (SPANDOM-FH) does not invoke transverse integration but instead solves the discrete ordinates equation analytically after the source term is projected and represented in hybrid form of high-order polynomials and exponential functions. SPANDOM-FH which treats a hexagonal node as one node is applied to two fast reactor benchmark problems and compared with TWOHEX. The results of comparison indicate that the present method SPANDOM-FH predicts accurately $k_eff$ and flux distributions in hexagonal assembly cores. In addition, SPANDOM-FH gives the continuous two dimensional intranodal scalar flux distributions in a hexagonal node. The reentering models between TWOHEX and SPANDOM were also compared and it was confirmed that SPANDOM's model is more realistic. Through the results of benchmark problems, we conclude that SPANDOM-FH has the sufficient accuracy for the nuclear design of fast breeder reactor (FBR) cores with hexagonal assemblies.

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Analysis of Progressive Fracture in Concrete using Finite Elements with Embedded Discontinuous Line (내부 불연속 요소를 사용한 콘크리트의 파괴진행해석)

  • 송하원;우승민;김형운
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10a
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    • pp.450-455
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    • 1998
  • In this paper, finite element with embedded discontinuous line is introduced in order to avoid the difficulties of adding new nodal points along with crack growth in discrete crack model. With the discontinuous element using discontinuous shape function, stiffness matrix of finite element is derived and dual mapping technique for numerical integration is employed. Using the finite element program made with employed algorithms, algorithm is verified and fracture analysis of simple concrete beam is performed.

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Analysis of Steady Vortex Rings Using Contour Dynamics Method for the Stream Function

  • Choi, Yoon-Rak
    • Journal of Ocean Engineering and Technology
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    • v.34 no.2
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    • pp.89-96
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    • 2020
  • In this study, the Norbury-Fraenkel family of vortex rings is analyzed using a contour dynamics method for the stream function, which significantly reduces the numerical burden in the calculation. The stream function is formulated as the integral along the contour of the vorticity core. The integration over the logarithmic-singular segment is evaluated analytically, and the positions of the nodal points of the contour are calculated directly. The shapes of the cores and the dividing stream surfaces are found based on the mean core radius. Compared with other studies, the proposed method is verified and found to be more efficient.