• 제목/요약/키워드: Topological Analysis

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확장 B-spline 기저 함수를 이용한 레벨셋 기반의 형상 최적 설계 (Level Set based Shape Optimization using Extended B-spline Bases)

  • 김민근;조선호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2008년도 정기 학술대회
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    • pp.391-396
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    • 2008
  • A level set based topological shape optimization using extended B-spline basis functions is developed for steady state heat conduction problems. The only inside of complicated domain is identified by the level set functions and taken into account in computation. The solution of Hamilton-Jacobi equation leads to an optimal shape according to the normal velocity field determined from the sensitivity analysis, minimizing a thermal compliance while satisfying a volume constraint. To obtain exact shape sensitivity, the precise normal and curvature of geometry need to be determined using the level set and B-spline basis functions. The nucleation of holes is possible whenever and wherever necessary during the optimization using a topological derivative concept.

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Highly Correlating Distance/Connectivity-Based Topological Indices. 1:QSPR Studies of Alkanes

  • Shamsipur, Mojtaba;Hemmateenejad, Bahram;Akhond, Morteza
    • Bulletin of the Korean Chemical Society
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    • 제25권2호
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    • pp.253-259
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    • 2004
  • Some new topological indices based on the distance matrix and Randic connectivity (as graph invariants) are proposed. The calculation of these indices is simple and they have good discriminating ability toward alkanes. Incorporating the number of carbon atoms to one of the calculated indices gives a highly correlating topological index (Sh index) which found to correlate with selected physicochemical properties of wide range of alkanes, specially, their boiling points. Most of the investigated properties are well modeled (with $r^2$> 0.99) by the Sh index. Meanwhile, the resulting regressions were compared with the results based on the well-established Randic and newly reported Xu indices and, in most cases, better results were obtained by the Sh index. Moreover, multiple linear regression analysis of the alkane properties via calculated indices gives highly correlating models with low standard errors.

A Topological Transformation and Hierarchical Compensation Capacitor Control in Segmented On-road Charging System for Electrical Vehicles

  • Liu, Han;Tan, Linlin;Huang, Xueliang;Guo, Jinpeng;Yan, Changxin;Wang, Wei
    • Journal of Power Electronics
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    • 제16권4호
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    • pp.1621-1628
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    • 2016
  • Experiencing power declines when the secondary coil is at the middle position between two primary coils is a serious problem in segmented on-road charging systems with a single energized segmented primary coil. In this paper, the topological transformation of a primary circuit and a hierarchical compensation capacitor control are proposed. Firstly, the corresponding compensation capacitors and receiving powers of different primary structures are deduced under the condition of a fixed frequency. Then the receiving power characteristics as a function of the position variations in systems with a single energized segmented primary coil and those with double segmented primary coils are analyzed comparatively. A topological transformation of the primary circuit and hierarchical compensation capacitor control are further introduced to solve the foregoing problem. Finally, an experimental prototype with the proposed topological transformation and hierarchical compensation capacitor control is carried out. Measured results show that the receiving power is a lot more stable in the movement of the secondary coil. It is a remarkable fact that the receiving power rises from 10.8W to 19.2W at the middle position between the two primary coils. The experimental are in agreement with the theoretical analysis.

공간에서 빛의 유형분류와 특성에 관한 연구 (A Study on the Categorization and Characterization of Light in Space)

  • 신문영;김주연
    • 한국실내디자인학회논문집
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    • 제19권4호
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    • pp.22-30
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    • 2010
  • Light has primary function to enlighten the darkness. However, as development and progresses in media has caused big change in our life, the range of usage and application of light is broadened. And these days, light is actively used as a communication tool in a space. This thesis is based on an idea that a new prospect of light is required and at the same time the theoretical foundation should be established to take active advantage of light. In Chapter two, analysis criteria are established to verify study hypothesis. The applied methodology is to analysis the contents based on literature review. Key words related light in space design are extracted and the frequency of those key words are quantitatively measured. Taking advantage of the result, the characteristics of light are divided into three categories, 'light as symbolic information', 'light as communication medium' and 'light as topological form'. In chapter three, analysis of cases is performed. The cases are selected based on space analyzing criteria established in Chapter two. Qualitative analysis is performed on the cases categorized into natural light and artificial light. Basic analysis elements are evaluated for each case. And each case is allocated to one of three categories, 'light as symbolic information', 'light as communication medium' and 'light as topological form'. Through this analysis, it is found that light in space has prevailing characteristics of 'light as symbolic information' and 'light as communication medium'.

위상학적 하중 재분배 방법을 이용한 부정정 트러스 구조 해석 (Indeterminate Truss Structure Analysis using Topological Load Redistribution Method)

  • 최원;김한중
    • 한국농공학회논문집
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    • 제57권6호
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    • pp.59-68
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    • 2015
  • Traditional structure analysis method is based on numerical matrix analysis to use the geometries consisting of the structure. The characteristics require a lot of computer memories and computational time. To avoid these weaknesses, new approach to analyze truss structure was suggested by adopting topological load redistribution method. The axial forces to be not structurely analyzed yet against outside loads were redistributed by using nodal equation of equilibrium randomly at each node without constructing global matrix. However, this method could not calculate the axial forces if structure is statically indeterminate due to degree of many indeterminacies. Therefore, to apply the method suggested in this research, all redundancies of truss structure were replaced by unit loads. Each unit load could make the deformation of a whole structure, and a superposition method was finally adopted to solve the simultaneous equations. The axial forces and deflections agreed with the result of commercial software within the relative error of 1 %, whereas in the case that the axial forces are relatively very smaller than others, the relative errors were increased to 2 %. However, as the values were small enough not to be considered, it was practically useful as a structural analysis model. This model will be used for structural analysis of truss type of large structure such as agricultural farming facility.

선체 구조 모델의 위상 정보 재구성을 통한 구조 해석 모델 생성 (Generation of the Structural Analysis Model Through the Reconstruction of the Topological Information of the Hull Structural Model)

  • 노명일;유성진;이규열
    • 대한조선학회논문집
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    • 제43권2호
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    • pp.246-257
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    • 2006
  • In the ship building industry, the generation of a structural analysis model, that is, a finite element model of a hull structure, has been manually performed by a designer and thus has required lots of time as compared with that of a mechanical part, because of many constraints, the complexity, and the huge size of the hull structure. To make this task automatic, a generation method of the structural analysis model is proposed through the reconstruction of the topological information of a hull structural model in this study. The applicability of the proposed method is demonstrated by applying it to the generation of the structural analysis model of a deadweight 300,000ton VLCC(Very Large Crude oil Carrier).

Measuring the Impact of Supply Network Topology on the Material Delivery Robustness in Construction Projects

  • Heo, Chan;Ahn, Changbum;Yoon, Sungboo;Jung, Minhyeok;Park, Moonseo
    • 국제학술발표논문집
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    • The 9th International Conference on Construction Engineering and Project Management
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    • pp.269-276
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    • 2022
  • The robustness of a supply chain (i.e., the ability to cope with external and internal disruptions and disturbances) becomes more critical in ensuring the success of a construction project because the supply chain of today's construction project includes more and diverse suppliers. Previous studies indicate that topological features of the supply chain critically affect its robustness, but there is still a great challenge in characterizing and quantifying the impact of network topological features on its robustness. In this context, this study aims to identify network measures that characterize topological features of the supply chain and evaluate their impact on the robustness of the supply chain. Network centrality measures that are commonly used in assessing topological features in social network analysis are identified. Their validity in capturing the impact on the robustness of the supply chain was evaluated through an experiment using randomly generated networks and their simulations. Among those network centrality measures, the PageRank centrality and its standard deviation are found to have the strongest association with the robustness of the network, with a positive correlation coefficient of 0.6 at the node level and 0.74 at the network level. The findings in this study allows for the evaluation of the supply chain network's robustness based only on its topological design, thereby enabling practitioners to better design a robust supply chain and easily identify vulnerable links in their supply chains.

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영상 분할의 가능성 및 초기값 배정에 대한 위상적 분석 (Topological Analysis of the Feasibility and Initial-value Assignment of Image Segmentation)

  • 도상윤;김정국
    • 정보과학회 논문지
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    • 제43권7호
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    • pp.812-819
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    • 2016
  • 본 논문에서는 기존의 영상분할에서 발생하는 초기값 배정문제와 영상분할 가능여부를 확인할 수 있는 방법에 대한 이론적 근거를 분석하고 제시한다. 본 논문의 앞 부분에서는 위상수학의 이론에 근거한 수학적 논증을 바탕으로 적절한 초기값 배정의 대한 위상적 근거와 방법론을 제시한다. 이어서 위상수학의 분리공리 이론에 근거하여 영상이 영역 분할되기 위한 최소의 위상조건을 확인하고 해당 조건을 이용하여 영상분할을 위해 사용된 모델의 유효성을 검증하는 방법론을 제시한다. 즉, 본 논문은 기존의 통계적 분석과 달리, 위상적 분석을 통해 영상 영역 분할의 수학적 근거를 제시한 것에 그 특징이 있다. 마지막으로 기존의 가우시안 랜덤 필드 모델 기반 영상 분할에 본 논문에서 제시한 이론과 방법론을 적용하여 가우시안 랜덤 필드 모델의 유효성을 확인한다.

3차원 네트워크 기반 위상학적 데이터 모델을 이용한 3차원 인접성 공간질의 (3D Adjacency Spatial Query using 3D Topological Network Data Model)

  • 이석호;박세호;이지영
    • Spatial Information Research
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    • 제18권5호
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    • pp.93-105
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    • 2010
  • 근린 공간(Spatial Neighborhoods)이란 특정 공간과 상호 관계성을 가지는 주위의 공간들이다. 공간 관계성이 있는 근린 지역을 찾는 3차원 공간질의는 공간을 분석함에 있어서 기본적인 기능이다. 이와 관련하여 다양한 공간 관계성을 갖는 근린 공간을 찾는 연구 방법들이 제안되어 왔으며, 본 연구에서는 인접성에 기반을 둔 근린 지역을 찾는 연구 방법을 제안한다. 제안된 방법은 인접성을 표현하는 위상학적 데이터를 다양한 위상학적 데이터 모델 중 네트워크 기반 위상학적 데이터 모델을 적용하여 구축하고, 이에 Dijkstra 알고리즘을 기반으로 한 3차원 인접성 공간질의 알고리즘을 적용하여 하여 인접성 기반의 근린 공간을 찾는 방법이다. 이를 토대로 특정 공간으로부터 인접성에 관한 순차 분석 (Order Analysis) 결과를 가시화 하고 활용 방안을 모색하였다. 본 연구는 3차원 공간에서 인접성에 관한 특정 공간객체를 찾기 위한 3차원 인접성 공간질의(3D Spatial Query) 연산자를 구현하는데 목적이 있으며, 연구의 목표는 효율적인 3차원 인접성 공간질의를 위해 1) 네트워크 기반 위상학적 데이터 모델을 이용하여 인접성을 표현한 3차원 네트워크 데이터를 구축하고, 이에 2) 3차원 인접성 공간질의 알고리즘을 적용하여 인접성 기반 근린 공간을 찾는 3차원 공간질의 연산자를 구현하는 것이다.