• 제목/요약/키워드: a normal vector

검색결과 604건 처리시간 0.06초

SEMI-INVARIANT SUBMANIFOLDS OF CODIMENSION 3 IN A COMPLEX SPACE FORM WITH 𝜉-PARALLEL STRUCTURE JACOBI OPERATOR

  • U-Hang KI;Hyunjung SONG
    • East Asian mathematical journal
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    • 제40권1호
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    • pp.1-23
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    • 2024
  • Let M be a semi-invariant submanifold of codimension 3 with almost contact metric structure (𝜙, 𝜉, 𝜂, g) in a complex space form Mn+1(c). We denote by A, K and L the second fundamental forms with respect to the unit normal vector C, D and E respectively, where C is the distinguished normal vector, and by R𝜉 = R(𝜉, ·)𝜉 the structure Jacobi operator. Suppose that the third fundamental form t satisfies dt(X, Y) = 2𝜃g(𝜙X, Y) for a scalar 𝜃(≠ 2c) and any vector fields X and Y , and at the same time R𝜉K = KR𝜉 and ∇𝜙𝜉𝜉R𝜉 = 0. In this paper, we prove that if it satisfies ∇𝜉R𝜉 = 0 on M, then M is a real hypersurface of type (A) in Mn(c) provided that the scalar curvature $\bar{r}$ of M holds $\bar{r}-2(n-1)c{\leq}0$.

Attitude Control System Design & Verification for CNUSAIL-1 with Solar/Drag Sail

  • Yoo, Yeona;Kim, Seungkeun;Suk, Jinyoung;Kim, Jongrae
    • International Journal of Aeronautical and Space Sciences
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    • 제17권4호
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    • pp.579-592
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    • 2016
  • CNUSAIL-1, to be launched into low-earth orbit, is a cubesat-class satellite equipped with a $2m{\times}2m$ solar sail. One of CNUSAIL's missions is to deploy its solar sail system, thereby deorbiting the satellite, at the end of the satellite's life. This paper presents the design results of the attitude control system for CNUSAIL-1, which maintains the normal vector of the sail by a 3-axis active attitude stabilization approach. The normal vector can be aligned in two orientations: i) along the anti-nadir direction, which minimizes the aerodynamic drag during the nadir-pointing mode, or ii) along the satellite velocity vector, which maximizes the drag during the deorbiting mode. The attitude control system also includes a B-dot controller for detumbling and an eigen-axis maneuver algorithm. The actuators for the attitude control are magnetic torquers and reaction wheels. The feasibility and performance of the design are verified in high-fidelity nonlinear simulations.

An Adaptive Watermark Detection Algorithm for Vector Geographic Data

  • Wang, Yingying;Yang, Chengsong;Ren, Na;Zhu, Changqing;Rui, Ting;Wang, Dong
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제14권1호
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    • pp.323-343
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    • 2020
  • With the rapid development of computer and communication techniques, copyright protection of vector geographic data has attracted considerable research attention because of the high cost of such data. A novel adaptive watermark detection algorithm is proposed for vector geographic data that can be used to qualitatively analyze the robustness of watermarks against data addition attacks. First, a watermark was embedded into the vertex coordinates based on coordinate mapping and quantization. Second, the adaptive watermark detection model, which is capable of calculating the detection threshold, false positive error (FPE) and false negative error (FNE), was established, and the characteristics of the adaptive watermark detection algorithm were analyzed. Finally, experiments were conducted on several real-world vector maps to show the usability and robustness of the proposed algorithm.

A New Method for Coronal Force-Free Field Computation That Exactly Implements the Boundary Normal Current Density Condition

  • 이시백;전홍달;이중기;최광선
    • 천문학회보
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    • 제44권2호
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    • pp.71.3-71.3
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    • 2019
  • Previously we developed a method of coronal force-free field construction using vector potentials. In this method, the boundary normal component of the vector potential should be adjusted at every iteration step to implement the boundary normal current density, which is provided by observations. The method was a variational method in the sense that the excessive kinetic energy is removed from the system at every iteration step. The boundary condition imposing the normal current density, however, is not compatible with the variational procedure seeking for the minimum energy state, which is employed by most force-free field solvers currently being used. To resolve this problem, we have developed a totally new method of force-free field construction. Our new method uses a unique magnetic field description using two scalar functions. Our procedure is non-variational and can impose the boundary normal current density exactly. We have tested the new force-free solver for standard Low & Lou fields and Titov-Demoulin flux ropes. Our code excels others in both examples, especially in Titov-Demoulin flux ropes, for which most codes available now yield poor results. Application to a real active region will also be presented.

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벡터계 정규 형식을 이용한 전력시스템 제어기 설치 위치 선정 (Identification of Optimum Sites for Power System Controller using Normal Forms of Vector Field)

  • 장길수;이인수;권세혁
    • 대한전기학회논문지:전력기술부문A
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    • 제53권4호
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    • pp.227-233
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    • 2004
  • In stressed power system due to the presence of increased nonlinearity and the existence of nonlinear modal interactions. there exist some limitations to the use of conventional linear system theory to identify the optimum sites for a controller. This paper suggests an approach based on the method of normal forms to identify the optimum sites for controllers with incorporating the nonlinear interaction . In this paper, nonlinear participation factors and coupling factors are proposed as measures of the nonlinear interactions, and identification procedure of optimum sites for a controller is also proposed. The proposed procedure is applied to the 10-generator New England System and the KEPCO System in the year of 2010, and the results illustrate its capabilities.

급속조형 시스템을 위한 STL 포맷의 오류 검증에 관한 연구 (A Study on Error Verification of STL Format for Rapid Prototyping System)

  • Park, H.T.;Lee, S.H.
    • 한국정밀공학회지
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    • 제13권10호
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    • pp.46-55
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    • 1996
  • As industrial standard data, the STL format which approximates three dimensional CAD model to triangular facets, is used for RP(Rapid Prototyping) system in recent days. Because most RP system take the only form of two dimensional line segments as an input stream inspite of its imperfectness while converting into STL format, a CAD model is converted into a standard industrial format which is composed of many triangular facets. The error verifying process is composed of four main steps, and these are 1) Remove facets with two or more vertices equal to each other. 2) Fix overlapping error such as more than three facets adjacent to anedge. 3) Fill holes in the mesh by using Delaunay triangulation method. 4) Correct the wrong direction and normal vectors. This paper is concerned with serching the mentioned errors in advance and modifying them.

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박판 성형 공정의 유한요소 해석을 위한 마찰접촉 모델 (Frictional Contact Model for Finite Element Analysis of Sheet-Metal Forming Processes)

  • 금영탁
    • 대한기계학회논문집
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    • 제17권9호
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    • pp.2242-2251
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    • 1993
  • The mesh-based frictional contact model has been developed which does not rely on the spatial derivatives of the tool surface. Only points on the surface are evaluated from the description. which can then be simplified because of the relaxed demands placed on it. The surface tangents, normals, and corresponding derivatives at each finite-element node are evaluated directly from the finite-element mesh, in terms of the connecting nodal positions. The advantages accrue because there is no longer a need for a smooth tool surface to assure reasonable normals and derivatives. Furthermore, it can be shown that the equilibrium equations can only be properly written with a special normal derived from the mesh itself. The validity, accuracy, computation time, and stability of mesh-based contact model were discussed with the numerical examples of rounded flat-top and rough, flat-top rounded punch forming operations. Also, the forming process of a automobile inner panel section was simulated for testing the robustness of new contact model. In the discussion, the superiority of new model was examined, comparing with tool-based contact one.

Obtaining 3D Shape of Specular Surface Using Five Degrees of Freedom Camera System

  • Yusuf, Khairi;Miyake, Tetsuo
    • 한국방송∙미디어공학회:학술대회논문집
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    • 한국방송공학회 1998년도 Proceedings of International Workshop on Advanced Image Technology
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    • pp.41-44
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    • 1998
  • In this paper, a new method of obtaining specular surface shape by using five degrees of freedom camera system is described. The normal vectors of the surface are extracted by achieving the coincident between the camera axis and the surface normal vector. This method uses a five degrees of freedom (5DOF) camera to fulfill this task. From the normal vector data, the shape of the surface is reconstructed. The result shows that the methodology improves the 3-D shape of object measurement with good accuracy.

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벡터계 정규 형식을 이용한 전력시스템 제어기 설치 위치 선정 (Identification of Optimum Sites for Power System Controller using Normal Forms of Vector Field)

  • 장길수;이인수;권세혁
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제53권4호
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    • pp.227-227
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    • 2004
  • In stressed power system due to the presence of increased nonlinearity and the existence of nonlinear modal interactions. there exist some limitations to the use of conventional linear system theory to identify the optimum sites for a controller. This paper suggests an approach based on the method of normal forms to identify the optimum sites for controllers with incorporating the nonlinear interaction . In this paper, nonlinear participation factors and coupling factors are proposed as measures of the nonlinear interactions, and identification procedure of optimum sites for a controller is also proposed. The proposed procedure is applied to the 10-generator New England System and the KEPCO System in the year of 2010, and the results illustrate its capabilities.

수직력을 고려한 자기부상열차의 LIM 벡터제어기법 (LIM Vector Control for Magnetic Levitation Considering Normal Force)

  • 송우현;유성환;김준석;임재원;박도영
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2013년도 추계학술대회 논문집
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    • pp.177-178
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    • 2013
  • To implement servo system using LIM, thrust and normal force control must be made in a moment. Thus, vector control is required to control magnetic flux and toque. In this paper, we applied to constant slip frequency vector control method by controlling d-q axis current and presented various simulation results.

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