• Title/Summary/Keyword: Interpolation function

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The Study of Finite Element Method for Analyses of Travelling Magnetic Field Problem (운동자계 문제의 해석을 위한 유한요소법에 관한 연구)

  • Chang Ho-Sung
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.19 no.4
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    • pp.108-116
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    • 2005
  • This paper presents finite element analyses solution in the travelling magnetic field problem. The travelling magnetic field problem is subject to convective-diffusion equation. Therefore, the solution derived from Galerkin-FEM with linear interpolation function may oscillate between the adjacent nodes. A simple model with Dirichlet, Neumann and Periodic boundary condition respectively, have been analyzed to investigate stabilities of solutions. It is concluded that the solution of Galerkin-FEM may oscillate according to boundary condition and element type, but that of Upwind-FFM is stable regardless boundary condition.

Development of an Embedded Motion Controller based on the IEC 61131-3 International Standard Language (IEC 61131-3 국제표준언어 기반 임베디드 모션제어기의 개발)

  • Kim, Won-Ho
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.12
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    • pp.3574-3580
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    • 2009
  • An embedded motion controller supporting the PLC programming environment based on the IEC 61131-3 International Standard Language was developed in this paper. In this developed motion controller, the CoDeSys, one of the IEC61131-3 development tools, was embedded in order to support that of PLC as well as the development environment of the PC, and the various function blocks based on PLCopen standard for motion control such as the linear and circular interpolation control were implemented. Moreover, the ethernet based remote control on real-time operating system and the motion simulator for a motion programmer were implemented.

Comparison of Various Shear Deformation Functions for Laminated Composite/Sandwich Plates (복합적층 및 샌드위치판 전단변형함수에 관한 상호비교연구)

  • Park, Won-Tae;Chang, Suk-Yoon;Chun, Kyoung-Sik
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.1 no.3
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    • pp.1-9
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    • 2010
  • In this paper, we used various shear deformation functions for modelling isotropic, symmetric composite and sandwich plates discretized by a mixed finite element method based on the Lagrangian/Hermite interpolation functions. These shear deformation theories uses polynomial, trigonometric, hyperbolic and exponential functions through the thickness direction, allowing for zero transverse shear stresses at the top and bottom surfaces of the plate. All shear deformation functions are compared with other available analytical/3D elasticity solutions, are predicted the reasonable accuracy for investigated problems. Particularly, The present results show that the use of exponential shear deformation theory (Karama et al. 2003; Aydogu 2009) provides very good solutions for composite and sandwich plates.

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Analysis of Piezoelectric Ceramic Multi-layer Actuators Based on the Electro-mechanical Coupled Meshless Method (전기-기계 결합 하중을 받는 압전 세라믹 다층 작동기의 무요소 해석)

  • Kim, Hyun-Chul;Guo, Xianghua;Kim, Won-Seok;Fang, Daining;Lee, Jung-Ju
    • Transactions of the Korean Society of Automotive Engineers
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    • v.15 no.2
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    • pp.101-108
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    • 2007
  • This paper presents an efficient meshless method for analyzing cracked piezoelectric structures subjected to mechanical and electrical loading. The method employs an element free Galerkin (EFG) formulation and an enriched basic function as well as special shape functions that contain discontinuous derivatives. Based on the moving least squares (MLS) interpolation approach, The EFG method is one of the promising methods for dealing with problems involving progressive crack growth. Since the method is meshless and no element connectivity data are needed, the burdensome remeshing procedure required in the conventional finite element method (FEM) is avoided. The numerical results show that the proposed method yields an accurate near-tip stress field in an infinite piezoelectric plate containing an interior hole. Another example is to study a ceramic multilayer actuator. The proposed model was found to be accurate in the simulation of stress and electric field concentrations due to the abrupt end of an internal electrode.

Electric Field Optimization using the NURB curve in a Gas-Insulated Switchgear (NURB 곡선을 이용한 가스절연 원통형 관로 내에서의 전계 최적화)

  • Han, In-Su;Kim, Eung-Sik;Min, Suk-Won;Lee, June-Ho;Park, Jong-Keun;Lee, Tae-Hyung;Park, Choon-Soo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.3
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    • pp.548-558
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    • 2009
  • This paper attempts to develop an algorithm which optimizes the electric field through the so-called NURB(Non-Uniform Rational B-spline) curve in order to improve the insulation capacity. In particular, the NURB curve is a kind of interpolation curve that can be expressed by a few variables. The electric field of a conductor is computed by Charge Simulation Method(CSM) while that of a spacer by Surface Charge Method(SCM); this mixed calculation method is adopted for the electric field optimization. For calculation of the initial and optimal shapes, the Gauss-Newton method, which is quite easy to formulate and has slightly faster convergence rate than other optimization techniques, was used. The tangential electric field, the total electric field, and the product of the tangential electric field and area (Area Effect) were chosen as the optimization objective function by the average value of electric field for the determined initial shape.

Numerical Study for 3D Turbulent Flow in High Incidence Compressor Cascade (고입사각 압축기 익렬내의 3차원 난류유동에 관한 수치적 연구)

  • 안병진;정기호;김귀순;임진식;김유일
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2002.04a
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    • pp.35-40
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    • 2002
  • A numerical analysis based on two-dimensional and three-dimensional incompressible Navier-Stokes equations has been carried out for double-circular-arc compressor cascades and the results are compared with available experimental data at various incidence angles. The 2-D and 3-D computational codes based on SIMPLE algorithm adopt pressure weighted interpolation method for non-staggered grid and hybrid scheme for the convertive terms. Turbulence modeling is very important for prediction of cascade flows, which are extremely complex with separation and reattachment by adverse pressure gradient. In this paper k-$\varepsilon$ turbulence model with wall function is used to increase efficiency of computation times.

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Free vibration analysis of rotating beams with random properties

  • Hosseini, S.A.A.;Khadem, S.E.
    • Structural Engineering and Mechanics
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    • v.20 no.3
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    • pp.293-312
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    • 2005
  • In this paper, free vibration of rotating beam with random properties is studied. The cross-sectional area, elasticity modulus, moment of inertia, shear modulus and density are modeled as random fields and the rotational speed as a random variable. To study uncertainty, stochastic finite element method based on second order perturbation method is applied. To discretize random fields, the three methods of midpoint, interpolation and local average are applied and compared. The effects of rotational speed, setting angle, random property variances, discretization scheme, number of elements, correlation of random fields, correlation function form and correlation length on "Coefficient of Variation" (C.O.V.) of first mode eigenvalue are investigated completely. To determine the significant random properties on the variation of first mode eigenvalue the sensitivity analysis is performed. The results are studied for both Timoshenko and Bernoulli-Euler rotating beam. It is shown that the C.O.V. of first mode eigenvalue of Timoshenko and Bernoulli-Euler rotating beams are approximately identical. Also, compared to uncorrelated random fields, the correlated case has larger C.O.V. value. Another important result is, where correlation length is small, the convergence rate is lower and more number of elements are necessary for convergence of final response.

Human Limbs Modeling from 3D Scan Data (3차원 스캔 데이터로부터의 인체 팔, 다리 형상 복원)

  • Hyeon, Dae-Eun;Yun, Seung-Hyeon;Kim, Myeong-Su
    • Journal of the Korea Computer Graphics Society
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    • v.8 no.4
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    • pp.1-7
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    • 2002
  • This paper presents a new approach for modeling human limbs shape from 3D scan data. Based on the cylindrical structure of limbs, the overall shape is approximated with a set of ellipsoids through ellipsoid fitting and interpolation of fit-ellipsoids. Then, the smooth domain surface representing the coarse shape is generated as the envelope surface of ellipsoidal sweep, and the fine details are reconstructed by constructing parametric displacement function on the domain surface. For fast calculation, the envelope surface is approximated with ellipse sweep surface, and points on the reconstructed surface are mapped onto the corresponding ellipsoid. We demonstrate the effectiveness of our approach for skeleton-driven body deformation.

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Demosaicing Algorithm Using Directional Neighboring Pixels (근접 화소들의 방향성을 이용한 디모자이킹 알고리듬)

  • Kim, Hee-Chang;Jeong, Je-Chang
    • Journal of Broadcast Engineering
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    • v.14 no.6
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    • pp.742-748
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    • 2009
  • Most commercial digital still cameras use a single sensor array (e.g., CMOS or CCD) with color filter array (CFA) to reduce the cost and size. Since the image obtained with CFA has only one color value per pixel, the demosaicing is needed to acquire missing two color values. Although many demosaicing methods have been proposed, they still have artifacts such as rainbow and zippering artifact. In this paper, we propose the simple demosaicing algorithm using tendency of neighbor pixels with the enhanced weighting function. In the experimental results, our algorithm shows much better subjective qualities of the images than conventional demosaicing algorithm and improves objective qualities.

Depth Map Upsampling with Improved Sharpness (선명도를 향상시킨 깊이맵 업샘플링 방법)

  • Jang, Seungeun;Lee, Dongwoo;Kim, Sung-Yeol;Choi, Hwang Kyu;Kim, Manbae
    • Journal of Broadcast Engineering
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    • v.17 no.6
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    • pp.933-944
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    • 2012
  • In this paper, we propose a new method to convert a low-resolution depth map into its high-resolution one called distance transform-based bilateral upsampling. Since the proposed method controls the spatial domain weighting function based on distance transform values of the depth map, it increases the input depth map resolution while preserving edge sharpness. The proposed method is composed of three main steps: distance transform, spatial weighting control, and image interpolation. Experimental results show that our method outperforms the conventional bilateral upsampling in terms of the quality of output depth maps.