• Title/Summary/Keyword: 직접수치법

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Prediction of Thermal Expansion Coefficients for Fiber-Reinforced Composites by Direct Numerical Simulation (직접 수치 모사법을 이용한 섬유 강화 복합재료의 열팽창계수 예측)

  • Nam, Youn-Sic;Oh, Min-Hwan;Kim, Kwang-Sik;Cho, Jin-Yeon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.9
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    • pp.771-777
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    • 2007
  • In this paper, thermal expansion coefficients of fiber-reinforced composite materials are predicted by direct numerical simulation. From comparing the predicted results with experimental results, it is confirmed that direct numerical simulation gives similar results to the previously proposed methods while minimizing artificial assumptions. Additionally trend of variation in thermal expansion coefficients is investigated according to the fiber volume fraction.

A Numerical Analysis on the solution of Poisson Equation by Direct Method (직접법을 이용한 Poisson 방정식 수치해법에 관하여)

  • Y.S. Shin;K.P. Rhee
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.3
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    • pp.62-71
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    • 1995
  • In the numerical analysis of incompressible unsteady Navier-stokes equation, large time is required for solving the pressure Poisson equation of the elliptic type at each time step. In this paper, a numerical analysis by the direct method is carried out to solve the pressure Poisson equation and the computing time is analyzed as mesh size increases. The pressure Poisson equation can be transformed to the boundary value problem by the Green theorem. The computing time for the convolution type of the domain integral can be reduced by using F.F.T. and the computing time in the direct method depends entirely on obtaining the solution of the boundary value problem. The numerical analysis on the known solutions is carried out and compared for the verification of the direct method. And the numerical analysis on the body boundary and domain decomposition problem are carried out with the computing time less than O($n^{3}$) in the (n.n) mesh.

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Comparison of FDDO and DSMC Methods in the Analysis of Expanding Rarefied Flows (팽창희박류의 분석에 있어서 FDDO와 직접모사법의 비교)

  • Chung C. H.
    • Journal of computational fluids engineering
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    • v.1 no.1
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    • pp.142-149
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    • 1996
  • 이차원 노즐을 통하여 저밀도 환경으로 팽창하는 희박류의 분석에 있어서 불연속좌표법과 결합된 유한차분법(finite-difference method coupled with the discrete-ordinate method, FDDO)과 직접모사법(direct-simulation Monte-Carlo method, DSMC)이 비교되었다. FDDO를 이용한 분석에서는 충돌적분모델을 도입하여 간단해진 볼츠만식(Boltzmann equation)이 불연속좌표법을 이용하여 물리적 공간에서는 연속이나 분자속도 공간에서는 불연속좌표로 표시되는 편미분방정식군으로 변환되어 유한차분법에의하여 수치해석 되었다. 직접모사법에서는 분자모델로 가변강구모델(variable hard sphere model, VHS)이, 충돌샘플링모델로는 비시계수법(no time counter method, NTC)이 채택되었다. 전혀 다른 두 가지 방법에 의한 노즐 내부에서의 유체흐름 해석결과는 매우 잘 일치하였으며, 노즐 외부의 plume 영역에서는 FDDO에 의한 해석결과가 직접모사법에 의한 해석결과에 비하여 약간 느린 팽창을 보였다.

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A Study on Shear Strength under Constant Normal Load Conditions by Using 3DEC (3DEC을 이용한 일정수직하중 조건에서의 전단강도에 관한 연구)

  • Noh, Young-Mok;Mun, Hong-Ju;Kim, Ki-Ho;Jang, Won-Yil
    • Tunnel and Underground Space
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    • v.24 no.1
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    • pp.46-54
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    • 2014
  • Direct shear tests have been initiated to understand the characteristics of joints which crucially affect the stability of rock mass. In this research, numerical approach in direct shear tests has been initiated using 3DEC on the basis of 3D distinct element method. Normal loads were altered in four different levels on artificial joint tests depending on the sawtooth angle and strengths on constant normal stress conditions, measuring the peak shear strength according to the direct shear tests under laboratory condition. Also results obtained from mechanical properties through laboratory test were used to perform numerical modeling, and shear strength obtained from the modeling was used to compare with laboratory direct shear test. As a result numerical analysis from distinct element method can simulate well on the shear behavior of rockmass.

The East Moving Least Square Reproducing Kernel Approximation and Point Collocation Method (고속 최소 자승법을 이용한 점별 계산법)

  • 김용식;김도완
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.567-574
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    • 2002
  • 새로운 자유격자 관사를 이용한 점별 계산법을 제안한다 이동 최소 자승법을 이용한 기저의 생성과 기저의 근사적 미분을 동시에 구해내는 자유격자 근사를 유도하여, 직접 점별 계산법을 고안하였다. 기존의 자유 격자 법에서는 기저의 직접 미분을 사용하므로 높은 계산 비용이 필요하지만, 이 논문에서 제안된 방법은 기저의 생성과 동시에 기저의 근사적 미분을 구하게 된다. 또한 기존의 방법에서 필요하였던, 창 함수(window function)의 미분가능성을 연속성으로 대치할 수 있으므로, 주어진 문제에 따라 다양한 창 함수를 이용할 수 있다. 기저의 재생성과 interpolation의 수렴성을 소개하고, 수치 예제로서, Poisson 문제를 통해 이 방법의 유효함을 보인다.

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A Study on the Load Characteristics of Herringbone-Grooved Journal Bearing (빗살무늬동압베어링의 부하특성에 관한 연구)

  • 강경필;임윤철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1993.12a
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    • pp.39-50
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    • 1993
  • 최근 회전계의 고속화, 소형화 및 정숙운전에 대한 요구가 엄격해짐에 따라 볼베어링을 저어널베어링으로 대체하는 흐름이 증가하고 있으나, 저어널베어링의 기본 구조상 운전시 여러 종류의 진동모드가 발생되며 이에 따라 엄밀한 설계가 요구된다. 이러한 요구에 따라 본 연구에서는 불안정성을 억제할 수 있는 것으로 알려진 빗살무늬 저어널베어링을 대상으로 하여 보다 정확한 설계를 위한 수치해석 프로그램을 개발하였다. 빗살무늬저어널베어링의 해석법으로는 간극의 비선형성을 단순화 시키기 위하여 무한홈을 가정한 협곡이론을 시초로 하여 최근에는 컴류터 계산속도의 발달로 실제 형상에 대해 해석한 직접계산법 등이 알려져 있다. 직접계산법은 협곡이론에 의한 계산법에 비해 많은 시간이 걸리는 단점이 있으나, 베어링이 소형화되어 실제 많은 홈을 가공하기 힘들거나 홈이 원호형으로서 직각홈으로 가정하기가 곤란한 요소에서는 협곡이론을 적용하는데 무리가 있을 것으로 사료된다. 따라서 본 연구에서는 직접계산법을 채택하여 소형 베어링 모델에 대한 부하특성을 수치해석하고, 이를 협곡이론과의 비교를 통하여 그 차이점을 검토하였다. 이를 위해 압축성을 고려한 레이놀즈 방정식에 대한 베어링 주위의 압력분포를 계산하는 프로그램을 제작하였으며, 주어진 설계조건하에서 빗살무늬 형상을 결정하는 피라미터들의 최적값을 산출하고, 아울러 플레인저어널베어링과의 비교를 통하여 설계조건에 따른 빗살무늬저어널베어링의 기존 불베어리의 대체 가능성을 평가하였다.

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Investigation on Method Avoiding Non-uniqueness of Direct Boundary Element Method in Acoustic Wave Radiation Problem (음향방사문제에서 직접경계요소법의 비유일성 회피방법에 관한 고찰)

  • Kim, Kook-Hyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.11 no.7
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    • pp.2328-2333
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    • 2010
  • A direct boundary element method(DBEM) is widely applied for various acoustic wave problems. But this method has numerically non-unique solutions around the eigenfrequencies of the interior Dirichlet problem for the region enveloped with the acoustic boundary. A CHIEF method had been generally adopted to resolve the non-uniqueness problem and a new technique called ICA-Ring method has been suggested recently. In this paper, the characteristics of two techniques for avoiding the non-uniqueness of DBEM are examined and numerical codes embodying both techniques are developed. Numerical calculations are also carried out for an uniformly pulsating sphere, of which the results are investigated by including the comparisons with theoretical solutions.

Methods of Nonlinear Structural Design Sensitivity Analysis (비선형(非線型) 구조(構造)의 설계민감도(設計敏感度) 해석법(解析法))

  • Ryu, Yeon Sun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.4
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    • pp.13-20
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    • 1987
  • Methods of nonlinear structural design sensitivity analysis are developed in parallel with the nonlinear finite element structural analysis methods and numerically evaluated. Direct decomposition and iterative solution methods for the secant stiffness approach and direct use of tangent stiffness in the design sensitivity analysis phase are derived and presented as the methods of nonlinear structural analysis and design sensitivity analysis are closely related. From the considerations of theoretical and numerical behavior, the tangent stiffness approach is shown to be efficient as the intermediate results of structural analysis can be effectively used in the design sensitivity analysis stage.

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Transient coupled thermoelastic analysis by finite element method (유한요소법에 의한 과도연성 열탄성 해석)

  • 이태원;심우진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.6
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    • pp.1408-1416
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    • 1990
  • A powerful and efficient method for finding approximate solutions to initial-boundary-value problems in the transient coupled thermoelasticity is formulated in time domain using the finite element technique with time-marching strategy. The final system equations can be derived by the Guritin's variational principle using the definition of convolution integral. But, the finite element formulation for the equations of motion is modified by differentiating in time. Numerical results to some test problems are compared with analytical and other sophisticated approximate solutions. Stable responces are observed in all the given examples irrespective of incremental time steps and mesh shapes. In addition, it is shown that good numerical results are obtained even in coarser mesh or larger time step comparing to other numerical methods.

Direct Correction of Lens Distortions in Close-Range Digital Photogrammetry (근거리 수치사진측량에 있어서 렌즈왜곡의 직접 보정)

  • 안기원;박병욱;서두천
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.17 no.3
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    • pp.257-264
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    • 1999
  • The lens distortions were corrected directly using the high-order polynomial which was offered in camera calibration data for the forward transformation and the root of Newton-Raphson's $2\times{2}$ nonlinear system for the backward transformation. The 0.04~0.08 pixels increase in accuracy was indicated through the use of direct correction of lens distortions instead of least square methods of commercial software. The least square adjustment method of high-order polynomial requires many control points which has a same weight. But this suggested method which is unnecessary to determine control points was developed and applied. The algorithm showed improved efficacy.

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