• Title/Summary/Keyword: Geometric structure

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A Study on The OLP Development and Controller Design for off-line Control of SCARA Robot (스카라 로봇의 오프라인 제어를 위한 OLP 개발 및 제어기설계에 관한 연구)

  • 서운학
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1999.10a
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    • pp.432-439
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    • 1999
  • In this paper, an off-line programming(OLP) system is presented as the three dimensional graphic simulator and one of the human-robot interface systems for industrial robots. The OLP system has been especially developed to testify robot programs visually using three dimensional geometric modeling and graphics technologies in personal computes. A special feature is its capability of collision detection and of comparing performance of control algorithms. This paper places the focus on the structure and major characteristic of OLP system.

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EINSTEIN'S CONNECTION IN 3-DIMENSIONAL ES-MANIFOLD

  • HWANG, IN HO
    • Korean Journal of Mathematics
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    • v.23 no.2
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    • pp.313-321
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    • 2015
  • The manifold $^*g-ESX_n$ is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor $^*g^{{\lambda}{\nu}}$ through the ES-connection which is both Einstein and semi-symmetric. The purpose of the present paper is to prove a necessary and sufficient condition for a unique Einstein's connection to exist in 3-dimensional $^*g-ESX_3$ and to display a surveyable tnesorial representation of 3-dimensional Einstein's connection in terms of the unified field tensor, employing the powerful recurrence relations in the first class.

A STUDY ON THE RECURRENCE RELATIONS AND VECTORS Xλ, Sλ AND Uλ IN g - ESXn

  • Hwang, In Ho
    • Korean Journal of Mathematics
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    • v.18 no.2
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    • pp.133-139
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    • 2010
  • The manifold $g-ESX_n$ is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor $g_{{\lambda}{\mu}}$ through the ES-connection which is both Einstein and semi-symmetric. In this paper, we investigate the properties of the vectors $X_{\lambda}$, $S_{\lambda}$ and $U_{\lambda}$ of $g-ESX_n$, with main emphasis on the derivation of several useful generalized identities involving it.

An analytical Study on the Elasto-Plastic Behaviour of Steel Structure Member & Frame under Cyclic Load (반복 하중을 받는 강 구조 부재 및 골조의 탄소성 성상에 관한 해석적 연구)

  • 김화중;권영환;박정민
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1992.10a
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    • pp.52-57
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    • 1992
  • The purpose of this study is that to develop computer program, which is about to analy size nonlinear behaviour of elastic framed structures include to geometric & material nonlineality, and to formulate between stress-strain relationship. In order to examplity the efficiency of this program, a few analytical results have been obtained on : (1) nonlinear behaviour of beam which is subject to vertical force (2) nonlinear behaviour of portal frame which is subject to vertical & horizontal force.

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A Study on Non-Linear Matrial and Geomertric Anolysis of Space Truss (기하학적 비선형과 재료적 비선형을 고려한 입체트러스 해석에 관한 연구)

  • 이재문;권영환;김화중
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1990.04a
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    • pp.1-5
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    • 1990
  • The object of this study introducts simple formula being based on energy principle to investigate span truss's non-linear, and considers the relation of member's length, height rate and slenderness ratio to rise prymid truss's economic structure ability through each example. This paper considered space truss's geometric non-linear behavior and material non-linear behavior, so acquired under result through as saying energy principle.

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Iductance Computations of Air-Core Solenoid Magnets by FEM (유한요소법을 이용한 공심 원통현자석의 인덕탄스 계산에 관한 연구)

  • Kown, Young-Ahn
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.3
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    • pp.247-253
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    • 1990
  • The inductances of air-core solenoid magnets with circular cross sections depend on the geometric structure and winding number. For the calculation of the inductance of these magnets, Grover's table is normally used. This study presents a method to calculate the inductance using finite element method. The result of the computation agrees well with those found in the literature. Inductances of solenoid magnets with nonuniform winding distribution of complicated shapes can also be computed using this method.

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SOME RESULTS ON INVARIANT SUBMANIFOLDS OF AN ALMOST KENMOTSU (𝜅, 𝜇, 𝜈)-SPACE

  • ATCEKEN, Mehmet;YUCA, Gulsum
    • Honam Mathematical Journal
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    • v.43 no.4
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    • pp.655-665
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    • 2021
  • In the present paper, we study the geometric properties of the invariant submanifold of an almost Kenmotsu structure whose Riemannian curvature tensor has (𝜅, 𝜇, 𝜈)-nullity distribution. In this connection, the necessary and sufficient conditions are investigated for an invariant submanifold of an almost Kenmotsu (𝜅, 𝜇, 𝜈)-space to be totally geodesic under the behavior of functions 𝜅, 𝜇, and 𝜈.

A TYPE OF WEAKLY SYMMETRIC STRUCTURE ON A RIEMANNIAN MANIFOLD

  • Kim, Jaeman
    • Korean Journal of Mathematics
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    • v.30 no.1
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    • pp.61-66
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    • 2022
  • A new type of Riemannian manifold called semirecurrent manifold has been defined and some of its geometric properties are studied. Among others we show that the scalar curvature of semirecurrent manifold is constant and hence semirecurrent manifold is also concircularly recurrent. In addition, we show that the associated 1-form (resp. the associated vector field) of semirecurrent manifold is closed (resp. an eigenvector of its Ricci tensor). Furthermore, we prove that if a Riemannian product manifold is semirecurrent, then either one decomposition manifold is locally symmetric or the other decomposition manifold is a space of constant curvature.

STRESS-ENERGY TENSOR OF THE TRACELESS RICCI TENSOR AND EINSTEIN-TYPE MANIFOLDS

  • Gabjin Yun
    • Journal of the Korean Mathematical Society
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    • v.61 no.2
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    • pp.255-277
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    • 2024
  • In this paper, we introduce the notion of stress-energy tensor Q of the traceless Ricci tensor for Riemannian manifolds (Mn, g), and investigate harmonicity of Riemannian curvature tensor and Weyl curvature tensor when (M, g) satisfies some geometric structure such as critical point equation or vacuum static equation for smooth functions.