• Title/Summary/Keyword: Topological Analysis

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Structural modal reanalysis using automated matrix permutation and substructuring

  • Boo, Seung-Hwan
    • Structural Engineering and Mechanics
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    • 제69권1호
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    • pp.105-120
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    • 2019
  • In this paper, a new efficient method for structural modal reanalysis is proposed, which can handle large finite element (FE) models requiring frequent design modifications. The global FE model is divided into a residual part not to be modified and a target part to be modified. Then, an automated matrix permutation and substructuring algorithm is applied to these parts independently. The reduced model for the residual part is calculated and saved in the initial analysis, and the target part is reduced repeatedly, whenever design modifications occur. Then, the reduced model for the target part is assembled with that of the residual part already saved; thus, the final reduced model corresponding to the new design is obtained easily and rapidly. Here, the formulation of the proposed method is derived in detail, and its computational efficiency and reanalysis ability are demonstrated through several engineering problems, including a topological modification.

반도체 세정용 플라즈마 발생장치의 모듈형 인버터 구성 방법에 따른 비교 및 분석 (Comparison and Analysis of Topological Configuration of Modular DC-AC Inverters for Plasma Generators)

  • 권만재;장은수;안효민;이병국
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2019년도 전력전자학술대회
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    • pp.236-238
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    • 2019
  • 본 논문에서는 반도체 세정용 플라즈마 발생장치의 인버터 구성에 따른 손실을 비교 및 분석한다. 플라즈마를 유지하기 위해 DC-AC 인버터는 고전압을 출력해야 한다. 따라서 고효율 동작을 위해 각 인버터 구성에 따른 trade-off를 고려한 회로 선정이 필요하다. 이를 위해 20 kW 급 시뮬레이션을 수행하고 이를 토대로 전력 반도체 소자 및 자성체에서 발생하는 손실, 부피, 가격 등 각 인버터 구성에 따른 장단점 분석을 진행한다. 또한 분석 결과를 통해 플라즈마 발생자치에 적합한 인버터 구성 방식을 제시한다.

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INERTIAL PICARD NORMAL S-ITERATION PROCESS

  • Dashputre, Samir;Padmavati, Padmavati;Sakure, Kavita
    • Nonlinear Functional Analysis and Applications
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    • 제26권5호
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    • pp.995-1009
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    • 2021
  • Many iterative algorithms like that Picard, Mann, Ishikawa and S-iteration are very useful to elucidate the fixed point problems of a nonlinear operators in various topological spaces. The recent trend for elucidate the fixed point via inertial iterative algorithm, in which next iterative depends on more than one previous terms. The purpose of the paper is to establish convergence theorems of new inertial Picard normal S-iteration algorithm for nonexpansive mapping in Hilbert spaces. The comparison of convergence of InerNSP and InerPNSP is done with InerSP (introduced by Phon-on et al. [25]) and MSP (introduced by Suparatulatorn et al. [27]) via numerical example.

COMMON FIXED POINT FOR RECIPROCALLY CONTINUOUS AND WEAKLY COMPATIBLE MAPS IN A G-METRIC SPACE

  • Swapna, P.;Phaneendra, T.;Rajashekar, M.N.
    • Nonlinear Functional Analysis and Applications
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    • 제27권3호
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    • pp.569-585
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    • 2022
  • A brief comparative survey of some generalizations of a metric space with three dimensional metric structures and different forms of the triangle inequality is done along with their topological properties. Then a common fixed point is obtained for reciprocally continuous and compatible self-maps in a G-metric space. Further, a common fixed point theorem is proved for a pair of weakly compatible self-maps on a G-metric space with the common limit range property.

DYNAMICAL AND STATISTICAL ASPECTS OF GRAVITATIONAL CLUSTERING IN THE UNIVERSE

  • SAHNI V.
    • 천문학회지
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    • 제29권spc1호
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    • pp.19-21
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    • 1996
  • We apply topological measures of clustering such as percolation and genus curves (PC & GC) and shape statistics to a set of scale free N-body simulations of large scale structure. Both genus and percolation curves evolve with time reflecting growth of non-Gaussianity in the N-body density field. The amplitude of the genus curve decreases with epoch due to non-linear mode coupling, the decrease being more noticeable for spectra with small scale power. Plotted against the filling factor GC shows very little evolution - a surprising result, since the percolation curve shows significant evolution for the same data. Our results indicate that both PC and GC could be used to discriminate between rival models of structure formation and the analysis of CMB maps. Using shape sensitive statistics we find that there is a strong tendency for objects in our simulations to be filament-like, the degree of filamentarity increasing with epoch.

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REMARKS ON THE KKM STRUCTURES OF KHANH AND QUAN

  • Sehie Park
    • Nonlinear Functional Analysis and Applications
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    • 제28권1호
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    • pp.123-134
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    • 2023
  • Since Knaster, Kuratowski, and Mazurkiewicz established their KKM theorem in 1929, it was first applied to topological vector spaces mainly by Fan and Granas. Later it was extended to convex spaces by Lassonde and to extensions of c-spaces by Horvath. In 1992, such study was called the KKM theory by ourselves. Then the theory was extended to generalized convex spaces or G-convex spaces. Motivated by such spaces, there have appeared several particular types of artificial spaces. In 2006 we introduced abstract convex spaces which contain all existing spaces appeared in the KKM theory. Later in 2014-2020, Khahn and Quan introduced "topologically based existence theorems" and the so-called KKM structure. In the present paper, we show that their structure is a particular type of already known KKM spaces.

FIXED POINT RESULTS IN SOFT RECTANGULAR b-METRIC SPACE

  • Sonam;C. S. Chauhan;Ramakant Bharadwaj;Satyendra Narayan
    • Nonlinear Functional Analysis and Applications
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    • 제28권3호
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    • pp.753-774
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    • 2023
  • The fundamental aim of the proposed work is to introduce the concept of soft rectangular b-metric spaces, which involves generalizing the notions of rectangular metric spaces and b-metric spaces. Furthermore, an investigation into specific characteristics and topological aspects of the underlying generalization of metric spaces is conducted. Moreover, the research establishes fixed point theorems for mappings that satisfy essential criteria within soft rectangular b-metric spaces. These theorems offer a broader perspective on established results in fixed point theory. Additionally, several congruous examples are presented to enhance the understanding of the introduced spatial framework.

대화형 인쇄물 구현을 위한 기하변형과 잡음에 강인한 원형 점 패턴코드의 설계와 인식 알고리즘 구현 (Design and Implementation of Circular Dot Pattern Code (CDPC) and Its Recognition Algorithm which is robust to Geometric Distortion and Noise)

  • 심재연;김성환
    • 한국정보처리학회:학술대회논문집
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    • 한국정보처리학회 2011년도 추계학술발표대회
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    • pp.1166-1169
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    • 2011
  • In this paper, we design a Circle dot Code, In our scheme, we design a dot patterns for increasing maximum capacity and also for increasing robustness to Affine Transformation. Our code Can be extended according number of data circle. We use three data circle vision code. In this type code, after acquiring camera images for the Circle dot Codes, and perform error correction decoding using four position symbols and six CRC symbols. We perform graph based dot code analysis which determines the topological distance between dot pixels. Our code can be bridged the real world and ubiquitous computing environment.

GIS의 지형자료 구축을 위한 SCANNING 방법의 오차분석 (A Error Analysis of Scanning for Topological Data Construction in Geographic Information Systems)

  • 유환희
    • 한국측량학회지
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    • 제10권2호
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    • pp.37-44
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    • 1992
  • 스캐너가 다른 입력장치에 비해 가격이 비싸지만 최근 래스터 스캐너와 백터라이징 소프트웨어가 GIS의 자료입력을 위해 사용되고 있으며 앞으로 널리 활용될 것이 기대되고 있다. 본 연구에서는 스캐닝기법에 의한 자료입력과정에서 래스터 데이터와 백터라이징의 정확도 및 커버리지 생성에 대해 분석하였다. 그 결과 낮은 dpi값으로 스캐닝하므로 해서 발생되는 해상력의 저하는 히스토그램 분석과 선강조방법에 의해 해상력을 향상시킬 수 있었으며, 래스터 데이터의 저장용량과 커버리지의 PMSE로 고려할 때 스캐너의 dpi값은 150 dpi나 200 dpi값이 바람직하다고 판단되었다. 또한 백터라이징 과정에서 래스터 데이타의 추적을 위해 추적매개변수의 선택은 매우 중요한 역할을 하고 있다.

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조선시대 민간정원 지당형태의 통시적 분석 (A Diachronic Analysis on the Shapes of Pond at the Private Residence in the Choson Dynasty)

  • 권차경;강영조
    • 한국조경학회지
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    • 제28권3호
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    • pp.61-71
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    • 2000
  • The purpose of this article is to investigate the forms and styles of pond at private housing in terms of diachronically influencing characteristics in the Choson Dynasty. From various literatures and records, we have selected 73 cases of pond. We have analyzed the types of pond based on square type, squared type with islets, and modified types and found the following results: 1) Chronically, shapes of pond had been chanced from the three prototypes into their features of deducting side or edge, adding a triangular or trapezoid shape, and installing more islets, and replaced their figures with gradually progressive from side having a straight lined shape to a curved one. 2) As for characteristics of arranging ponds, we found three patterns of arrangement - the juxtaposition with a similar shape of pond, juxtaposition with a different shape of pond, and the juxtaposition with a pond having different topological level in the light of the relation with a stream and a pond. We can conclude the two changed patterns of ponds at private residence in Choson Dynasty that the one had been transformed shapes of pond with sides of pond, and the others had been transformed juxtaposition with either a stream or a natural stream. From this research we can find an important implications in understanding patterns and types of garden in the Choson Dynasty from exploratory approach and in the future the relationship between topographical characteristics of private residence and Confucian ideas, and shapes of pond is needed to be examined in explanatory manner.

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