• Title/Summary/Keyword: 요소 간 연속성

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A Study on the Selective Use of Higher Order Elements (고차 요소의 선택적 사용에 대한 연구)

  • Kim, Jin-Whan
    • Journal of Ocean Engineering and Technology
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    • v.13 no.4 s.35
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    • pp.1-9
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    • 1999
  • 일차원 및 이차원의 단순한 문제에 대하여 계층 요소를 사용한 혼합 차수 유한 요소해의 정확성 및 수렴성을 조사하였다. 이러한 작업은 임의의 차수를 가진 블록들을 조합하여 요소를 구성함으로서 이루어질 수 있다. 블록간의 연결성이 유지될 수 있는 블록의 구성과 요소 생성에 대하여는 코드개발과 관련하여 설명하고 있으며, 서로 다른 차수를 가진 인접 블록간의 해의 연속성에 대하여는 계층 요소의 구성과 관련하여 서술되었다. 수치적 결과는 블록의 차수를 잘 선택함으로서 유한 요소해의 수렴성과 정확성을 증가시킬 수 있음을 보여주고 있으며, 고차 요소 영역을 너무 많이 할당하여 선형 요소의 영역이 너무 적을 경우에는 경계 조건에 따라 오차가 내부로 전파됨을 보여준다. 또한 세분화된 요소에 대한 고차 보간의 경우, 해의 수렴성이 저해될 수 있음이 발견되었다.

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Study on Application of Isogeometric Analysis Method for the Dynamic Behavior Using a Reduced Order Modeling (축소 모델의 동적 거동 해석을 위한 등기하해석법 적용에 대한 연구)

  • Kim, Min-Geun;Kim, Soo Min;Lee, Geun-Ho;Lee, Hanmin
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.5
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    • pp.275-282
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    • 2018
  • Using isogeometric analysis(IGA) gives more accurate results for higher order mode in eigenvalue problem than using the finite element method(FEM). This is because the FEM has $C^0$ continuity between elements, whereas IGA guarantee $C^{P-1}$ between elements for p-th order basis functions. In this paper, a mode based reduced model is constructed by using IGA and dynamic behavior analysis is performed using this advantage. Craig-Bampton(CB) method is applied to construct the reduced model. Several numerical examples were performed to compare the eigenvalue analysis results for various order of element basis function by applying the IGA and FEM to simple rod analysis. We have confirmed that numerical error increases in the higher order mode as the continuity between elements decreases in the IGA by allowing internal knots multiplicity. The accuracy of the solution can be improved by using the IGA with high inter-element continuity when high-frequency external force acts on the reduced model for dynamic behavior analysis.

결함허용 실시간 시스템 구조에대한 설계 및 신뢰성 평가

  • 유종상;신인철
    • Journal of Korea Society of Industrial Information Systems
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    • v.3 no.1
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    • pp.1-11
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    • 1998
  • 본 논문에서는 "실행 프로세서 " , "대기 프로세서" 그리고 "프로세서 절체"와 같은 향상된 개념과 기법을 사용하여 실시간 시스템에 의한 이중화 구조를 설계하고 신뢰성을 평가한다. 이중화구조는 동일한 두 개의 하드웨어 요소로 구성되며, 신속한 결함검출과 결함분리를 위한 유용한 여러 복구단계로 구성되었기 때문에 하드웨어와 소프트웨어의 부가로 인한 시스템의 부담을 최소화 시키고, 시스템이 연속성을 유지하도록한다. 기존의 결함허용 기법과 비교해서, 제안한 구조는 삼중화 구조(TMR) 보다 신뢰성이 향상됨을 보인다. 삼중화 구조(TMR) 보다 신뢰성이 향상됨을 보인다.

Single Level Adaptive hp-Refinement using Integrals of Legendre Shape Function (적분형 르장드르 형상함수를 이용한 단일 수준 적응적 hp-체눈 세분화)

  • Jo, Jun-Hyung;Yoo, Hyo-Jin;Woo, Kwang-Sung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.23 no.3
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    • pp.331-340
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    • 2010
  • The basic theory and application of new adaptive finite element algorithm have been proposed in this study including the adaptive hp-refinement strategy, and the effective method for constructing hp-approximation. The hp-adaptive finite element concept needs the integrals of Legendre shape function, nonuniform p-distribution, and suitable constraint of continuity in conjunction with irregular node connection. The continuity of hp-adaptive mesh is an important problem at the common boundary of element interface. To solve this problem, the constraint of continuity has been enforced at the common boundary using the connectivity mapping matrix. The effective method for constructing of the proposed algorithm has been developed by using hierarchical nature of the integrals of Legendre shape function. To verify the proposed algorithm, the problem of simple cantilever beam has been solved by the conventional h-refinement and p-refinement as well as the proposed hp-refinement. The result obtained by hp-refinement approach shows more rapid convergence rate than those by h-refinement and p-refinement schemes. It it noted that the proposed algorithm may be implemented efficiently in practice.

Studies of Interface Continuity in Isogeometric Structural Analysis for Multi-patch Shell Components (다중 패치 쉘 아이소 지오메트릭 해석의 계면 연속성 검토)

  • Ha, Youn Doh;Noh, Jungmin
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.31 no.2
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    • pp.71-78
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    • 2018
  • This paper presents the assembling of multiple patches based on the single patch isogeometric formulation for the shear deformable shell element given in the previous study. The geometrically exact shell formulation has been accomplished with the shell theory based formulation and the generalized curvilinear coordinate system directly derived from the given NURBS geometry. For the knot elements matching across adjacent surfaces, the zero-th and first parametric continuity conditions are considered and the corresponding coupling constraints are implemented by a master-slave formulation between adjacent patches. The constraints are then enforced by a substitution method for condensation of the slave variables, thereby reducing the model size. Through numerical investigations, the important features of the first parametric continuity condition are confirmed. The performance of the multi-patch shell models is also examined comparing the rate of convergence of response coefficients for the zero and first order continuity conditions and continuity in coupling boundary between two patches is confirmed.

Finite Element Solution of Ordinary Differential Equation by the Discontinuous Galerkin Method (불연속 갤러킨 방법에 의한 상미분방정식의 유한요소해석)

  • 김지경
    • Computational Structural Engineering
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    • v.6 no.4
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    • pp.83-88
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    • 1993
  • A time-discontinuous Galerkin method based upon using a finite element formulation in time has evolved. This method, working from the differential equation viewpoint, is different from those which have been generally used. They admit discontinuities with respect to the time variable at each time step. In particular, the elements can be chosen arbitrarily at each time step with no connection with the elements corresponding to the previous step. Interpolation functions and weighting functions are taken to be discontinuous across inter-element boundaries. These methods lead to a unconditional stable higher-order accurate ordinary differential equation solver.

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Dam Inflow Prediction using Deep Learning Model based on Continuous Simulation (연속형 모의 기반의 딥러닝 모델을 활용한 댐 유입량 예측 및 평가)

  • Heo, Jae-Yeong;Bae, Deg-Hyo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.122-122
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    • 2021
  • 전 세계적인 기후변화로 인해 태풍과 집중호우의 빈도와 규모가 증가하고 있으며 그로 인해 수재해 대응과 수자원 관리에 많은 어려움이 따른다. 댐 운영은 이러한 수자원 관리의 중요한 요소이며 정확한 댐 유입량의 예측은 효율적인 댐 운영과 관리의 필수적인 부분이다. 최근에는 여러 분야에서 활용되고 있는 딥러닝 모델을 활용하여 댐 유입량 예측에 관한 다수의 연구들이 수행되고 있다. 특히, 수문 시계열의 장기적인 특성과 비선형적인 관계를 고려하기 위해 연속형 모의를 기반으로 하는 딥러닝 모델의 적용 및 평가와 관련 연구의 필요성이 대두되고 있다. 본 연구에서는 연속형 모의를 기반으로 하는 딥러닝 모델을 활용하여 댐 유입량 예측을 수행하고자 하며 이의 적용성을 평가하고자 한다. 적용 대상 지역으로는 안동댐 상류 유역을 선정하였으며 2006년부터 2020년까지의 시 단위 강우 및 댐 유입량 자료를 활용하였다. 선행시간(1~6시간)별 예측 유입량과 관측 유입량의 비교를 통한 정량적 평가를 수행하였다. 또한 입력 자료에 대한 과거 기간, 모델 구성, 손실함수 등에 대한 조건별 평가를 통해 예측 정확도의 변화에 대한 분석을 수행하였다. 본 연구결과를 통해, 딥러닝 기반의 댐 유입량 예측 정확도에 대한 향상과 실시간 예측을 위한 딥러닝 모델의 활용성 증대에 기여할 것으로 기대된다. 향후, 강우 예보 자료를 연계한 딥러닝 기반의 실시간 댐 유입량 예측 기법을 제안하고 이의 활용성을 평가하고자 한다.

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Characteristics of Plastic Concept of Minimalism in Comtemporary Landscape Design (현대조경설계에서 미니멀리즘의 조형개념 특성)

  • Ahn, Seung-Hong
    • Journal of the Korean Institute of Landscape Architecture
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    • v.37 no.5
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    • pp.64-77
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    • 2009
  • In landscape architecture, the pursuit of pluralism requires diverse expression based on cultural and philosophical differences. Landscape architects impart social purposes and spatial relationships to the contemporary generation by providing particular environments that reflect the culture of the day. Particularly, landscape architects reflect contemporary art in their design works and express the characteristics of the arts of the day in real spaces. Historically they have sought motives from all fields of art. The plastic concept in landscape design is based specifically on paintings that directly influence spatial composition. Minimalism in landscape architecture contributes to the formation of artistic characteristics that can be explained to improve artistry in landscapes as aesthetic objects, which were eliminated in the modernist era, and to realize contemporary art. By interpretively studying design works, therefore, this study reveals plastic concepts' influence on landscape design affected by minimalist art. The characteristics of plastic concepts in minimalist landscape design can be summarized as follows. First, the reduction of Minimalist Landscape is meant for viewers to immediately understand a work's identity and to easily perceive its intention by using design language implied by the pure geometric forms such as circles, triangles and squares. Second, the extension intends to seek internal order by connecting design elements mutually and externally to provide visual direction by adopting linear expression. Third, the flatness that defines meaningless space tends to overlay additional elements on a flattened site to induce the perception of a sequence of landscapes and to patternize pavement to improve its visual image. Finally, seriality has two characteristics: to make centrality in space and to compose by repeating formative elements and materials based on the pursuit of a site's totality, rather than an individual space's originality.

A Study on the Quantitative Analysis for the Forest Landscape (삼림경관에 관한 계량적 분석에 관한 연구)

  • 서주환
    • Journal of the Korean Institute of Landscape Architecture
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    • v.15 no.1
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    • pp.39-67
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    • 1987
  • The purpose of this thesis is to suggest objective basic data for the environmental design through the quantitative analysis of the visual quality included in the physical environment of forest landscape. For this, landscape values of forest landscape have been evaluated by using the Iverson method, the images structure of forest landscape's main utilizing space have been analysed by the factor analysis algorithm, degree of visual preferences have been pleasured mainly by questionnaries and SBE method, and finally these thesis can be summarized as fallow LCP with high values of Iverson factors I and IV yield high landscape value. Specifically, Iverson factor IV has been found to play the dominant. For all experimental points, significant seasonal variations in S.D. scale values have been observed. In natural parks, where artificial structures are complementary to the natural landscape, main factors of image are S.D. scales such as the visual sequence, the formal simplicity of structures, the emphasis, the unification of heterogeneous factors and the assimilation. Factors covering the spatial image of natural parks have been found to be the overall evaluation, the individual characteristics, the tidiness, the potentiality, the dignity, the intimacy and the space volume. For all seasons, factors such as the individual characteristics, the dignity, the tidiness, the potentiality, yield high factor scores. As for factors determining the degree of visual preference, variables such as the summit, the skyline, rocks, the water and the degree of natural destruction by artificial structures yield high values for all seasons.

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Assessment of Rock Mass Strength Using Three-Dimensional Numerical Analysis with the Distinct Element Method (개별요소법 기반의 삼차원 수치해석을 통한 절리성 암반의 강도특성 평가)

  • Junbong Bae;Jeong-Gi Um;Hoyoung Jeong
    • The Journal of Engineering Geology
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    • v.33 no.4
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    • pp.573-586
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    • 2023
  • Joints or weak planes can induce anisotropy in the strength and deformability of fractured rock masses. Comprehending this anisotropic behavior is crucial to engineering geology. This study used plaster as a friction material to mold specimens with a single joint. The strength and deformability of the specimens were measured in true triaxial compression tests. The measured results were compared with three-dimensional numerical analysis based on the distinct element method, conducted under identical conditions, to assess the reliability of the modeled values. The numerical results highlight that the principal stress conditions in the field, in conjunction with joint orientations, are crucial factors to the study of the strength and deformability of fractured rock masses. The strength of a transversely isotropic rock mass derived numerically considering changes in the dip angle of the joint notably increases as the intermediate principal stress increases. This increment varies depending on the dip of the joint. Moreover, the interplay between the dip direction of the joint and the two horizontal principal stress directions dictates the strength of the transversely isotropic rock mass. For a rock mass with two joint sets, the set with the steeper dip angle governs the overall strength. If a rock bridge effect occurs owing to the limited continuity of one of the joint sets, the orientation of the set with longer continuity dominates the strength of the entire rock mass. Although conventional three-dimensional failure criteria for fractured rock masses have limited applicability in the field, supplementing them with numerical analysis proves highly beneficial.