• Title/Summary/Keyword: 평면방정식

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Analytic Error Caused by the Inconsistency of the Approximation Order between the Non Local Boundary Condition and the Parabolic Governing Equation (포물선 지배 방정식과 비국소적 경계조건의 근사 차수 불일치에 의한 해석적 오차)

  • Lee Keun-Hwa;Seong Woo-Jae
    • The Journal of the Acoustical Society of Korea
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    • v.25 no.5
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    • pp.229-238
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    • 2006
  • This paper shows the analytic error caused by the inconsistency of the approximation order between the non local boundary condition (NLBC) and the parabolic governing equation. To obtain the analytic error, we first transform the NLBC to the half space domain using plane wave analysis. Then, the analytic error is derived on the boundary between the true numerical domain and the half space domain equivalent to the NLBC. The derived analytic error is physically expressed as the artificial reflection. We examine the characteristic of the analytic error for the grazing angle, the approximation order of the PE or the NLBC. Our main contribution is to present the analytic method of error estimation and the application limit for the high order parabolic equation and the NLBC.

Stress Analysis in Multiple Isotropic Elliptical Fibers of Arbitrary Orientation (다수의 임의로 경사진 등방성 타원형 장섬유를 포함하는 복합재료에서의 응력 해석)

  • Lee, Jung-Ki;Oh, Sang-Min
    • Composites Research
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    • v.26 no.4
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    • pp.235-244
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    • 2013
  • A volume integral equation method (VIEM) is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solid containing multiple isotropic elliptical fibers of arbitrary orientation subject to uniform stress at infinity. The fibers are assumed to be long parallel elliptical cylinders composed of isotropic elastic material perfectly bonded to the isotropic matrix. The solid is assumed to be under plane strain on the plane normal to the cylinders. A detailed analysis of the stress field at the matrix-fiber interface for square and hexagonal packing of the fibers is carried out for different values of the number, orientation angles and concentration of the elliptical fibers. The accuracy and efficiency of the method are examined through comparison with results obtained from analytical and finite element methods.

Analysis of Induced Currents on the Dielectric Cube by the Fusion of MoM and PMCHW Integral Equation (MoM과 PMCHW 적분방정식 융합에 의한 유전체 육면체의 유도전류 계산)

  • Lim, Joong-Soo
    • Journal of the Korea Convergence Society
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    • v.6 no.5
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    • pp.9-14
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    • 2015
  • In this paper, we analysis the electromagnetic scattering of an arbitrary shape dielectric cube subjected to plane wave incidence in three dimensions. MoM(Method of Moments)in which a surface of a body is divided with small triangular patches and equivalence principle are used to fuse the PMCHW(Poggio, Miller, Chang, Harrington, and Wu) Integral Equations with respect to equivalent currents on a dielectric body. Triangular patch and loop-patch basis functions that is robust in wide frequency ranges are used for MoM formulations. Proposed method is very useful to analysis the induced current of arbitrary dielectric bodies and numerical results for a dielectric cube are presented.

Analysis of the Sound Source Field Using Spatial Transformation of the Sound Pressure in a Near-field (근거리 음압의 공간 변환에 의한 음원의 음장 분포 해석)

  • 김원호;윤종락
    • The Journal of the Acoustical Society of Korea
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    • v.22 no.8
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    • pp.660-669
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    • 2003
  • This paper describes a theory to calculate sound source field from the spatial transform of sound field and the measured cross-power spectrum of sound pressure over a hologram plane close to a sound source, Calculating method is proposed to solve sound pressures from cross-power spectrums over a hologram plane, For this, Taylor series for the nonlinear equations is expanded, and it is calculated using Newton-Raphon method, Also, a wave number filter is used to reduce errors that is occurred on the backward propagation, and is performed numerical simulation of the circular piston sound source with infinite baffle in water to verify the proposed theory.

Thermoelastic deformation and stress analysis of a FGM rectangular Plate (경사기능재료 사각 판의 열 탄성 변형과 응력 해석)

  • Kim,Gwi-Seop
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.1
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    • pp.34-41
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    • 2003
  • A Green's function approach is adopted for analyzing the thermoelastic deformation and stress analysis of a plate made of functionally graded materials (FGMs). The solution to the 3-dimensional steady temperature is obtained by using the laminate theory. The fundamental equations for thermoelastic problems are derived in terms of out-plane deformation and in-plane force, separately. The thermoelastic deformation and the stress distributions due to the bending and in-plane forces are analyzed by using a Green’Às function based on the Galerkin method. The eigenfunctions of the Galerkin Green's function for the thermoelastic deformation and the stress distributions are approximated in terms of a series of admissible functions that satisfy the homogeneous boundary conditions of the rectangular plate. Numerical examples are carried out and effects of material properties on thermoelastic behaviors are discussed.

Camera Tracking Method based on Model with Multiple Planes (다수의 평면을 가지는 모델기반 카메라 추적방법)

  • Lee, In-Pyo;Nam, Bo-Dam;Hong, Hyun-Ki
    • Journal of Korea Game Society
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    • v.11 no.4
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    • pp.143-149
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    • 2011
  • This paper presents a novel camera tracking method based on model with multiple planes. The proposed algorithm detects QR code that is one of the most popular types of two-dimensional barcodes. A 3D model is imported from the detected QR code for augmented reality application. Based on the geometric property of the model, the vertices are detected and tracked using optical flow. A clipping algorithm is applied to identify each plane from model surfaces. The proposed method estimates the homography from coplanar feature correspondences, which is used to obtain the initial camera motion parameters. After deriving a linear equation from many feature points on the model and their 3D information, we employ DLT(Direct Linear Transform) to compute camera information. In the final step, the error of camera poses in every frame are minimized with local Bundle Adjustment algorithm in real-time.

A Study on the Driving Principles of a Novel Non-contact Surface Actuator Using Combination of Magnetic Force (비접촉 평면 구동기의 자기력 조합 방식 구동 원리)

  • Jung, Kwang-Suk;Baek, Yoon-Su
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.3
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    • pp.115-121
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    • 2001
  • In micro automation technology, the concurrent realization of a high resolution and a large operating rage has been achieved by a dual actuator, usually called by piggy-back system, conventionally. But, because of its manufacturing cost, the complexity of control, and the limit of overall bandwidth, the contract-free and single servo actuators have been suggested with specific applications. In this paper, we suggest a novel non-contact surface actuator suing combination of the Lorentz force and the magnetized force, and discuss the actuating principles including an analytical approach. Differently from the existing planar system, an operating range of the suggested system can be expanded by an additional attachment of active elements. Therefore, it is estimated to be suitable for the next-generation moving system.

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Buoyant Slot Jets in Flowing Environment (가로흐름에 방류(放流)되는 평면부력(平面浮力)?)

  • Yoon, Tae Hoon;Han, Woon Woo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.8 no.3
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    • pp.53-60
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    • 1988
  • The behavior of plane buoyant jet issuing vertically upwards into cross flow is analysed by experiments and integral scheme. The integral scheme is based on the self similarity and characteristic length scales to governing equations of continuity, momentum and constituent transport equation, in the horizontal and vertical flow region, respectively. Jet trajectories and the temperature distributions of jet centerlines obtained from experiments are analysed for various velocity ratios and densimetric Froude numbers. It was found that the analytical results about the trajectories and temperatures of jet center lines agree with the experiments and can be expressed as power laws.

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A Study on the Analysis of Trilateration Adjustment by Finite Element Method (FEM) (FEM에 의한 3 변측양의 해석에 관한 연구)

  • 이계학;장지원;정기현;김욱남
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.3 no.2
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    • pp.18-31
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    • 1985
  • The object of this study is to analize the trilateration adjustment by FEM. FEM is a numerical method for analysis dealing with problems of displacement and variation about the object. Since a plane trilateration net can be likend to a plan structural frame work in stress analysis, the technic of FEM can be used for trilateration adjustment Thus, this study applied FEM and Condition Equation Method to a trilateration adjustment, and investigated precision and characteristics of them.

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The Characteristics of Current Distribution on a Spiral Scatterer (나선형 산란체의 전류분포 특성)

  • 남창호;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.11 no.4
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    • pp.241-250
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    • 1986
  • Current distributions are the basis of analyzing and designing the antenna. In this paper, a method of deriving the current distribution of a spiral shaped thin wire scattere is proposed when plane wave is incident on it. The calculated results are also shown for severla spiral sizes and incidence angles selected. For numerical calculation, the method of point matching is used with a cubic B-spline function as a basis function.

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