• Title/Summary/Keyword: continuity theory

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Two-dimensional rod theory for approximate analysis of building structures

  • Takabatake, Hideo
    • Earthquakes and Structures
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    • v.1 no.1
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    • pp.1-19
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    • 2010
  • It has been known that one-dimensional rod theory is very effective as a simplified analytical approach to large scale or complicated structures such as high-rise buildings, in preliminary design stages. It replaces an original structure by a one-dimensional rod which has an equivalent stiffness in terms of global properties. If the structure is composed of distinct constituents of different stiffness such as coupled walls with opening, structural behavior is significantly governed by the local variation of stiffness. This paper proposes an extended version of the rod theory which accounts for the two-dimensional local variation of structural stiffness; viz, variation in the transverse direction as well as longitudinal stiffness distribution. The governing equation for the two-dimensional rod theory is formulated from Hamilton's principle by making use of a displacement function which satisfies continuity conditions across the boundary between the distinct structural components in the transverse direction. Validity of the proposed theory is confirmed by comparison with numerical results of computational tools in the cases of static, free vibration and forced vibration problems for various structures.

Designing Knitwear with Aran Motives - In Search of Spatial Continuity Theory with Its Application - (아란모티프를 응용한 니트웨어 디자인 - 공간적 연속성 이론을 중심으로 -)

  • Lee, Yoon-Mee;JeKal, Mee;Jang, Jung-Im;Lee, Youn-Hee
    • Journal of the Korean Society of Clothing and Textiles
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    • v.32 no.12
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    • pp.1971-1980
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    • 2008
  • The purpose of this study is to explore the meaning and depth of traditional knitwears, and to develop knitwear designs by using Aran motif, one of major motifs of traditional knitwears and on the basis of the 'continuance' theory of Henri Bergson and Jill Deleuze. Connectivity, the sense of space and deconstructive fluidity-basic concepts of the continuance theory-are felt in such forms as pleats, origami, and air pumping systems, blob and twisting used in the modem fashion. The motif of Aran knitwear which has a long historical tradition can be reinterpreted in terms of those concepts of the continuance theory. In this study, we designed five pieces of knitwear while applying cable motif, an important motif of Aran knitwear, and the concepts of the continuance theory to them. This study will make a contribution to the designing of knit wears through reinterpretation of a traditional motif in terms of a modem philosophical thought.

ALGEBRAIC SPECTRAL SUBSPACES OF OPERATORS WITH FINITE ASCENT

  • Han, Hyuk
    • Journal of the Chungcheong Mathematical Society
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    • v.29 no.4
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    • pp.677-686
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    • 2016
  • Algebraic spectral subspaces were introduced by Johnson and Sinclair via a transnite sequence of spaces. Laursen simplified the definition of algebraic spectral subspace. Algebraic spectral subspaces are useful in automatic continuity theory of intertwining linear operators on Banach spaces. In this paper, we characterize algebraic spectral subspaces of operators with finite ascent. From this characterization we show that if T is a generalized scalar operator, then T has finite ascent.

Modeling and simulation of partially delaminated composite beams

  • Mahieddine, A.;Ouali, M.;Mazouz, A.
    • Steel and Composite Structures
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    • v.18 no.5
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    • pp.1119-1127
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    • 2015
  • A finite-element model for beams with partially delaminated layers is used to investigate their behavior. In this formulation account is taken of lateral strains and the first-order shear deformation theory is used. Both displacement continuity and force equilibrium conditions are imposed between the regions with and without delamination. Numerical results of the present model are presented and its performance is evaluated for static and dynamic problems.

Formation of a composite theory of planning built environment for holistic health (총체적 건강을 위한 건축 공간계획의 실험적 복합이론 구축연구)

  • Lee, Yeun-Sook;An, So-Mi;Lim, Soo-Hyun
    • KIEAE Journal
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    • v.10 no.1
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    • pp.97-107
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    • 2010
  • Although aspiration towards quality of life and holistic health has been growing faster in our modern society and the affordance of health in built environment has been more acknowledged, there has been hardly any development on built environment planning and design theory that can be comfortably and confidently used in creating built environment to promote holistic health. Thereby, this study sets out to experimently formulate a composite theory that explains the relationship between health and built environment. The main methodology of this study is literature review and analysis. Theories that have been applied in other similar fields were chosen to be analyzed by health related perspectives and graft those theories onto holistic health viewpoints to compose a comprehensive theory. Selected theories that were considered useful to be analyzed were Lawton's Environment Press Theory, Carp & Carp's Complementary & Congruence Theory, Valins' Activity-based Design Criteria Theory, Atchley's Continuity Theory, Murtha & Lee's User Benefit Criteria Theory, and Alexander's Pattern Language Theory. Characteristics of these theories were compared by their abstractness and concreteness, and the range of application, and analyzed by a holistic health perspective. Then, these theories were comprehensively structuralized and synthesized as a built environment for health theory. This study has its significance in providing a base to develop healthy built environment research further as it introduced a conceptual framework which explains spatial elements in the health functionality point of view.

Higher Order Zig-Zag Theory for Composite Shell under Thermo-mechanical load (열, 기계 하중을 고려한 지그재그 고차 복합재 쉘 이론)

  • Oh Jin-Ho;Cho Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.217-224
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    • 2005
  • A higher order zig-zag shell theory is developed to refine the predictions of the mechanical and thermal behaviors partially coupled. The in-plane displacement fields are constructed by superimposing linear zig-zag field to the smooth globally cubic varying field through the thickness. Smooth parabolic distribution through the thickness is assumed in the out-of-plane displacement in order to consider transverse normal deformation and stress. The layer-dependent degrees of freedom of displacement fields are expressed in terms of reference primary degrees of freedom by applying interface continuity conditions as well as bounding surface conditions of transverse shear stresses. Thus the proposed theory has only seven primary unknowns and they do not depend upon the number of layers. In the description of geometry and deformation of shell surface, all rigorous exact expressions are used. Through the numerical examples of partially coupled analysis, the accuracy and efficiency of the present theory are demonstrated. The present theory is suitable in the predictions of deformation and stresses of thick composite shell under mechanical and thermal loads combined.

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Dynamic analysis for delaminated composites using DKQ concept based on higher-order zig-zag theory (고차 지그재그 모델을 이용한 다중 층간 분리부가 내재한 복합재 평판의 동적 해석)

  • 오진호;조맹효;김준식
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2002.10a
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    • pp.71-74
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    • 2002
  • A higher-order zig-zag theory is developed to refine the predictions of natural frequency and mode shape of laminated composite plates with multiple delaminations. By imposing top and bottom surface transverse shear stress-free and interface continuity conditions of transverse shear stresses including delaminated interfaces, the displacement field with minimal degree-of-freedoms are obtained. This displacement field can systematically handle the number, shape, size, and locations of delaminations. Through the dynamic version of variational approach, the dynamic equilibriums and variationally consistent boundary conditions are obtained. Through the numerical example of natural frequency analysis, the accuracy and efficiency of present theory are demonstrated. The present theory is suitable as an efficient tool to analyze the static and dynamic behavior of the composite plates with multiple delaminations.

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On the spectral propeties of multipliers

  • Yoo, Jong-Kwang
    • Communications of the Korean Mathematical Society
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    • v.12 no.4
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    • pp.911-920
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    • 1997
  • This note centers around the class M(A) of multipliers on a Gelfand algebra A. This class is a large subalgebra of the Banach algebra L(A). The aim of this note is to investigate some aspects concerning their local spectral properties of multipliers. In the last part of work we consider some applications to automatic continuity theory.

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A DIFFERENTIAL EQUATION WITH DELAY FROM BIOLOGY

  • Otrocol, Diana
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.1037-1048
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    • 2008
  • The purpose of this paper is to present a differential equation with delay from biological excitable medium. Existence, uniqueness and data dependence (monotony, continuity, differentiability with respect to parameter) results for the solution of the Cauchy problem of biological excitable medium are obtained using weakly Picard operator theory.

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Analysis of robustness in fuzzy control

  • Nguyen, Hung-T.
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.7-10
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    • 1992
  • This lecture is about an investigation into a desired property of fuzzy systems when degrees of uncertainty involved are uncertain. We characterize the robustness of fuzzy logic operators by their moduli of continuity. Theoretical results for design methodology are presented and a case study is discussed.

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