• 제목/요약/키워드: Equation of plane

검색결과 749건 처리시간 0.027초

방전현상 해석을 위한 전자장 및 전하이동 방정식의 비선형 결합 알고리즘 (Electric Discharge Analysis Using Nonlinarly-Coupled Equation of Electromagnetic Field and Charge Transport)

  • 이세연;박일한;이세희
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2006년도 제37회 하계학술대회 논문집 C
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    • pp.1494-1495
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    • 2006
  • A complete finite element analysis method for discharge onset process, which is governed and coupled by charge transport equation and electric field equation, was presented. The charge transport equation of first order was transformed into a second-order one by utilizing the artificial diffusion scheme. The two second-order equations were analyzed by the finite element formulation which is well-developed for second-order ones. The Fowler-Nordheim injection boundary condition was adopted for charge transport equation. After verifying the numerical results by comparing to the analytic solutions using parallel plane electrodes with one carrier system, we extended the result to blade-plane electrodes in 2D xy geometry with three carriers system. Radius of the sharp tip was taken to be 50 ${\mu}m$. When this sharp geometry was solved by utilizing the space discretizing methods, the very sharp tip was found to cause a singularity in electric field and space charge distribution around the tip. To avoid these numerical difficulties in the FEM, finer meshes, a higher order shape function, and artificial diffusion scheme were employed.

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면외변형하의 이방성 띠판에 대한 동적계면균열 (Dynamic Interfacial Crack in Bonded Anisotropic Strip Under Out-of-Plane Deformation)

  • 박재완;최성렬
    • 대한기계학회논문집A
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    • 제25권6호
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    • pp.949-958
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    • 2001
  • A semi-infinite interfacial crack propagated with constant velocity in two bonded anisotropic strips under out-of-plane clamped displacements is analyzed. Using Fourier integral transform the problem is formulated and the Wiener-Hopf equation is derived. By solving this equation the asymptotic stress and displacement fields near the crack tip are obtained, where the results get more general expressions applicable not only to isotropic/orthotropic materials but also to the extent of the anisotropic material having one plane of elastic symmetry for the interfacial crack. The dynamic stress intensity factor is obtained as a closed form, which is decreased as the velocity of crack propagation increases. The critical velocity where the stress intensity factor comes to zero is obtained, which agrees with the lower value between the critical values of parallel crack merged in the material 1 and 2 adjacent to the interface. Using the near tip fields of stresses and displacements, the dynamic energy release rate is also obtained as a form of the stress intensiy factor.

2축면내 인장력을 받는 철근콘크리슬래브의 펀칭전단강도 (Punching shear strength of Reinforced concrete slabs subjected to Blaxial In-plane Tension)

  • 김우;모귀석;김대중
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1990년도 봄 학술발표회 논문집
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    • pp.102-107
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    • 1990
  • The research program is directed at studying the behavior and the strength of reinforced concrete slabs subjected to certain combination of punching shear and in-plane tension. Major variables to be investigated are the shear span to depth ratio of reinforced concrete slabs and the degree of the in-plane tensile force which is acting tangent to the slabs. The experimental results are used for understanding of the degree of the interaction between the two loadings, and for developing a new practical design equation.

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PROPERTIES OF ELASTIC SYMBOLS AND CONSTRUCTION OF SOLUTIONS OF THE DIRICHLET PROBLEM

  • Kawashita, Mishio;Soga, Hideo
    • 대한수학회논문집
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    • 제16권3호
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    • pp.399-404
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    • 2001
  • We examine plane waves of the elastic reduced wave equation in the half-space, and show that linear combinations of them can cover all plane waves on the boundary. The proof is based on the complex analysis for the symbol in the (dual) variable in the normal direction to the boundary.

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두 이방성 띠판에 내재된 면외변형하의 등속평행 균열 (Parallel Crack with Constant Velocity in Two Bonded Anisotropic Strip Under Anti-Plane Deformation)

  • 박재완;김남훈;최성렬
    • 대한기계학회논문집A
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    • 제24권2호
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    • pp.496-505
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    • 2000
  • A semi-infinite parallel crack propagated with constant velocity in two bonded anisotropic strip under anti-plane clamped displacement is analyzed. Using Fourier integral transform a Wiener-Hopf equation is derived. By solving this equation the asymptotic stress and displacement fields near the crack tip are determined, where the results give the more general expression applicable to the extent of the anisotropic material having one plane of elastic symmetry for the parallel crack. The dynamic stress intensity factor and energy release rate are also obtained as a closed form, which are the results applicable to the problem both of dynamic and static crack under the same geometry as this study. The stress intensity factor approaches zero at the critical crack velocity which is less than the shear wave velocity, but in typical case of isotropic or orthotropic material agrees with the velocity of shear wave. Also a circular shear stress around crack tip is considered, from which the stress is shown to be approximately symmetric about the horizontal axis. Referring to the maximum stress criteria, it could be shown that a brenched crack is formed by crack growth as crack velocity increases.

EXISTENCE OF RESONANCES FOR DIFFERENTIAL OPERATORS

  • Kim, In-Suk
    • 대한수학회논문집
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    • 제9권2호
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    • pp.337-353
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    • 1994
  • Let H be a Schrodinger operator in $L^2$(R) H =(equation omitted) + V(x), with supp V ⊂ [-R, R]. A number $z_{0}$ / in the lower half-plane is called a resonance for H if for all $\phi$ with compact support 〈$\phi$, $(H - z)^{-l}$ $\phi$〉 has an analytic continuation from the upper half-plane to a part of the lower half-plane with a pole at z = $z_{0}$ . Thus a resonance is a sort of generalization of an eigenvalue. For Im k > 0, ($H - k^2$)$^{-1}$ is an integral operator with kernel, given by Green's function(omitted)

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THE EXACT SOLUTION OF THE GENERALIZED RIEMANN PROBLEM IN THE CURVED GEOMETRIES

  • Kim, Ju-Hong
    • Journal of applied mathematics & informatics
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    • 제7권2호
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    • pp.391-408
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    • 2000
  • In the curved geometries, from the solution of the classical Riemann problem in the plane, the asymptotic solutions of the compressible Euler equation are presented. The explicit formulae are derived for the third order approximation of the generalized Riemann problem form the conventional setting of a planar shock-interface interaction.

직교스프링들에 의해 지지되는 강체의 진동 설계 (Vibration Design of a Rigid Body Supported by Orthogonal Springs)

  • 장선준;이준호;최용제
    • 대한기계학회논문집A
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    • 제31권1호
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    • pp.97-104
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    • 2007
  • Vibration analysis of a rigid body supported by in-parallel linear springs can be greatly simplified by utilizing the conditions for a plane of symmetry. The vibration modes of an oscillatory system having plane of symmetry are classified into the in-plane and out-of-plane modes. From the viewpoint of screw theory, they represent respectively the vibration axes perpendicular to the plane of symmetry and lying in the plane of symmetry. In this paper, the sets of orthogonal and mutually intersecting three springs are used as resilient support of a rigid body. The geometrical conditions for the system to have a plane of symmetry and diagonalized stiffness matrix are presented. From the orthogonality of the vibration modes with respect to the inertia matrix, the geometrical relation between the reaction wrenches and the vibration modes are derived. This geometrical relation is then used to get the cubic design equation for the design of out-of-plane modes. The numerical design example of engine mounts is presented in order to explain the suggested design technique.

자율무인잠수정의 수중 도킹을 위한 비쥬얼 서보 제어 알고리즘 (A Visual Servo Algorithm for Underwater Docking of an Autonomous Underwater Vehicle (AUV))

  • 이판묵;전봉환;이종무
    • 한국해양공학회지
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    • 제17권1호
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    • pp.1-7
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    • 2003
  • Autonomous underwater vehicles (AUVs) are unmanned, underwater vessels that are used to investigate sea environments in the study of oceanography. Docking systems are required to increase the capability of the AUVs, to recharge the batteries, and to transmit data in real time for specific underwater works, such as repented jobs at sea bed. This paper presents a visual :em control system used to dock an AUV into an underwater station. A camera mounted at the now center of the AUV is used to guide the AUV into dock. To create the visual servo control system, this paper derives an optical flow model of a camera, where the projected motions of the image plane are described with the rotational and translational velocities of the AUV. This paper combines the optical flow equation of the camera with the AUVs equation of motion, and deriver a state equation for the visual servo AUV. Further, this paper proposes a discrete-time MIMO controller, minimizing a cost function. The control inputs of the AUV are automatically generated with the projected target position on the CCD plane of the camera and with the AUVs motion. To demonstrate the effectiveness of the modeling and the control law of the visual servo AUV simulations on docking the AUV to a target station are performed with the 6-dof nonlinear equations of REMUS AUV and a CCD camera.

LiDAR 데이터의 3D Hough 변환을 이용한 건물 지붕 평면의 세그멘테이션 및 정밀 평면방정식 추출 (The Segmentation and the Extraction of Precise Plane Equation of Building Roof Plane using 3D Hough Transformation of LiDAR Data)

  • 이영진;오재홍;신성웅;조우석
    • 한국측량학회지
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    • 제26권5호
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    • pp.505-512
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    • 2008
  • LiDAR 점 데이터에서 3D Hough 변환을 이용하여 건물 지붕의 평면을 추출할 경우, 추출하고자 하는 평면에 포함되지 않는 LiDAR 점 데이터로 인하여 잘못된 평면이 추출될 수 있다는 문제점과, 누적배열에서 최대값을 갖는 누적배열인자가 여러 개 발생할 수 있다는 문제점이 발생할 수 있다. 본 논문에서는 최다평면(peak plane), 정확평면(exact plane), 최확평면(LESS plane)을 정의하고 이를 이용하여 위의 문제점들을 해결하는 방법을 제안하였다. 또한, 위의 문제점이 발생할 수 있는 데이터를 제작하여 본 논문에서 제안한 알고리즘을 테스트하였다.