• Title/Summary/Keyword: 수치 적분

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Study on the parallel processing algorithms with implicit integration method for real-time vehicle simulator development (실시간 차량 시뮬레이터 개발을 위한 암시적 적분기법을 이용한 병렬처리 알고리즘에 관한 연구)

  • 박민영;이정근;배대성
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.497-500
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    • 1995
  • In this paper, a program for real time simulation of a vehicle is developed. The program uses relative coordinates and BEF(Backward Difference Formula) numerical integration method. Numerical tests showed that the proposed implicit method is more stable in carring out the numerical integration for vehicl dynamics than the explicit method. Hardware requirements for real time simulation are suggested. Algorithms of parallel processing is developed with DSP (digital signal processor).

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Improvement of Element Stability using Adaptive Directional Reduced Integration and its Application to Rigid-Plastic Finite Element Method (적응성 선향저감적분법에 의한 요소의 안정성 향상과 강소성 유한요소해석에의 적용)

  • Park, K.;Lee, Y.K.;Yang, D.Y.
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.3
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    • pp.32-41
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    • 1995
  • In the analysis of metal forming processes by the finite element method, there are many numerical instabilities such as element locking, hourglass mode and shear locking. These instabilities may have a bad effect upon accuracy and convergence. The present work is concerned with improvement of stability and efficiency in two-dimensional rigid-plastic finite element method using various type of elemenmts and numerical intergration schemes. As metal forming examples, upsetting and backward extrusion are taken for comparison among the methods: various element types and numerical integration schemes. Comparison is made in terms of stability and efficiency in element behavior and computational efficiency and a new scheme of adaptive directional reduced integration is introduced. As a result, the finite element computation has been stabilized from the viewpoint of computational time, convergency, and numerical instability.

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Propagation of Transient Waves due to Bottom Disturbances (해저 변동에 의한 파낭의 시간에 따른 변화)

  • 서승남
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.4
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    • pp.288-295
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    • 1993
  • Three dimensional linear transient wave propagation over a constant depth due to bottom disturbances is presented. Present solution based on Seo(1993) is expressed in terms of a convolution integral of source function. For three cases of different source functions, each solution is proved to satisfy the corresponding initial condition. The general feature of wave height attenuation resulted from the dispersion effect is shown and discussed by numerical results of the solutions.

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Analysis of Perfectly Conducting Body of Revolution (BOR 구조 완전도체의 해석)

  • 이직열;정구철
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.19 no.2
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    • pp.225-230
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    • 1994
  • EFIE`s(Electric Field Integral Equations) are widely used in formulation of electric field problems and these equations are analyzed by several numerical method. In formulation of EFIF by forcing the tangential component of electric field on the perfect conducting body be zero, we can obtain equation with a kernel that has a logarithmic singularities. In this paper, an integral equation is presented which can be used for perfect BOR(Body of Revolution) objects and this can be more simplified for straight wire problem. As examples, monopole antenna which is driven by coaxial cable and scattering problems are considered.

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An Approach for Efficient Numerical Integration of the Sommerfeld Type Integrals Pertinent to the Microstrip Surface Green's Function (Microstrip 표면 Green 함수에 관한 Sommerfeld 형 적분들의 효과적인 수치 적분법)

  • 최익권
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.1
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    • pp.143-149
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    • 1993
  • An approach is presented for efficient numerical integration of the Sormnerfeld type integrals pertinent to the microstrip surface Green's function arising in the problem of an electric current point source on an infinite planar grounded dielectric substrate. This approach, valid for both lossless and lossy dielectric substrates, is based on the deformation of the integration contour via a coordinate transformation and Cauchy's residue theory, and identifies clearly the effects of surface waves. I ts useful application is in a rigorous moment method analysis of micros trip antenna arrays and microstrip guided wave structures. The efficiency and the usefulness of the present approach are emphasized through some numerical calculations of the impedance matrix elements with associated CPU times.

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The Radiation Characteristics of a Dielectric Antenna of Arbitrary Shape (임의의 형상을 가진 유전체 안테나의 복사특성)

  • 김종련
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.8 no.6
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    • pp.17-24
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    • 1971
  • All improved method of analysis is developed to determine the chsrateristics of a dielectric antenna of arbitrary shape. The analysis is based on scattering principles. The concept of polariaztion current and charge densities is incorporated into the Stratton-Chu formula and un integral equation is established for the electric field intensities in the dielectric. A new technique involving an equivalent spherical cell is developed to solve the integral equatioil numerically. The radiation characterstics of an omnidirectional dielectric antellna are determined based on the near field obtained by this volume cell technique.

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Elastic Analysis of Unbounded Solids Using a Mixed Numerical Method (혼합 수치해석 방법을 이용한 무한고체의 탄성해석)

  • Lee , Jung-Ki;Heo, Kang-Il
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.341-348
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    • 2001
  • A Mixed Volume and Boundary Integral Equation Method is applied for the effective analysis of plane elastostatic problems in unbounded solids containing general anisotropic inclusions and voids or isotropic inclusions. It should be noted that this newly developed numerical method does not require the Green's function for anisotropic inclusions to solve this class of problems since only Green's function for the unbounded isotropic matrix is involved in their formulation for the analysis. This new method can also be applied to general two-dimensional elastodynamic and elastostatic problems with arbitrary shapes and number of anisotropic inclusions and voids or isotropic inclusions. Through the analysis of plane elastostatic problems in unbounded isotropic matrix with orthotropic inclusions and voids or isotropic inclusions, it will be established that this new method is very accurate and effective for solving plane elastic problems in unbounded solids containing general anisotropic inclusions and voids or isotropic inclusions.

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Treatment of Numerical Integration for Boundary Element Method (경계요소법에 있어서 수치적분에 관한 고찰)

  • Park, Sung-Oan;Kwak, Chang-Sup;Koo, Young-Duk
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.2
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    • pp.185-193
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    • 1996
  • Errors included in solutions obtained by the boundary element method are generally larger than those by the finite element method in the case that the number of discreted elements is small. One of the reasons is supposed to be attributed to the error which will be produced in the numerical integration of the singular functions in two dimensional elastic problem. Then, treatment of analytical integration to reduce computing time and to decrease errors of boundary element method are proposed.

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High-Order Spectral/Boundary-Integral Method for the Calculation of Nonlinear Interactions between Hydrofoil and Free-Surface (수중익과 자유표면의 비선형 상호작용 계산을 위한 고차 스펙트럴/경계적분법)

  • Kim Yong Jig;Ha Young Rok;Kwon Sun Hong;Kim Dong Joon
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.369-372
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    • 2002
  • Under the assumption of potential flow, free-surface flows around a 2-dimensional hydrofoil are calculated by high-order spoctral/boundary-integral method. This method is one of the most efficient numerical methods by which the nonlinear interactions between hydrofoil and free-surface can be simulated in time-domain. Comparisons of the calculated free-surface profiles with other experimental results show relatively good agreements. As another example, free-surface flow generated by the heaving and translating hydrofoil is calculated and discussed.

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Stress Intensity Factors of Center Cracked Laminated Composites under Uniaxial Tension (단순인장을 받는 복합 적층재 중앙균열의 응력확대계수)

  • 김성호;오재협;옹장우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1611-1619
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    • 1991
  • 본 연구에서는 Hilton과 Sih의 경우를 확장 적용하여 Fig. 1(b)와 같이 탄성 층 내부에 존재하는 중앙균열선단의 응력확대계수 산출을 위하여 균열부위를 제외하고 는 섬유층과 레진층이 완전히 접착되었다고 가정한 모델을 다음과 같이 설정하였다. 중앙균열을 내재하고 있는 복합재료의 역학적 거동을 해석하기 위하여, 접착레진을 주 로하는 층(resin rich layer)을 중심으로 하여 상하 각1개의 섬유 (fiber)층과 균질한 특성을 갖는 복합재료의 층으로 단순화 하였으며, 이러한 단순화는 적층재에서의 균열 주위의 국부응력을 해석하기 위한 것으로서 복합재료는 레진층이나 섬유층에 비하여 매우 두꺼우므로 반무한체로 이상화 하였다. 선형탄성 이론에 의하여 혼합 경계조건 문제(mixed boundary value problem)로 부터 제2종 Fredholm적분방정식(fredholm int- egral equation of a second kind)을 유도하였으며 수치해석적인 방법에 의하여 응력 확대계수를 구하였다.