• Title/Summary/Keyword: 해석적 미분

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Simulation of Natural Gas and Pulverized Coal Combustion using 93-PCGC-2 (93-PCGC-2을 이용한 천연가스 연소와 미분탄 연소 모사)

  • 조석연;서경원;이진욱
    • Proceedings of the Korea Society for Energy Engineering kosee Conference
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    • 1995.11a
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    • pp.50-55
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    • 1995
  • 향상되어진 93-PCGC-2는 기존의 PCGC-2와 같이 미분탄 연소를 포함하는 다양한 반응성흐름과 비반응성 흐름을 설명하기 위해 2차원 정상상태 모델로 제시되어 졌다. 93-PCGC-2는 실린더형의 축 대칭계에 응용되어질 수 있고, 난류(Turbulence)는 유체역학식과 연소기구 양쪽을 위해 고려되어졌으며, 불연속 세로좌표 방법(Discrete Ordinates Method)을 이용하여 기체, 벽 및 입자들로부터의 복사열(Radiation)을 모사하였다. 입자상은 입자 무리들의 평균 경로들을 따라 해석하는 Lagrangian계의 해석법으로 모델화되어졌다. 석탄의 팽윤(Swelling)과 촤의 반응성에 관한 부모델과 더불어 새롭게 일반화된 석탄 탈휘발화 부모델 (FG-DVC)도 첨가되어졌다. 비균일 반응기구는 확산과 화학반응 둘 모두를 고려하였다. 주요 기상반응은 국부 순간 평형을 가정하여 모델화하였다. 그래서 반응속도는 혼합의 난류속도에 의해 제한되어진다. Thermal NOx과 Fuel NOx의 유한속도 화학론(Finite Rate Chemstry)에 대한 부모델은 화학반응속도론와 난류성의 통계치를 통합하여 만들어져 있다. 기상은 반복적인 line-by-line기교에 의해 풀려지는 elliptic partial differential equation으로 묘사되어진다. 수치적인 안정을 고려하기 위해 under-relaxation이 이용되어졌다. 이렇게 코드화된 93-PCGC-2는 연소를 위해 모사되어졌다. 또한 더 나아가 이 수치모델의 활용범위는 미분탄의 가스화에도 활용되어질 것으로 기대되어진다.

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In-Plane Extensional Buckling Analysis of Curved Beams under Uniformly Distributed Radial Loads Using DQM (등분포하중 하에서 미분구적법(DQM)을 이용한 곡선 보의 내평면 신장 좌굴해석)

  • Kang, Ki-Jun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.7
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    • pp.265-274
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    • 2018
  • The increasing use of curved beams in buildings, vehicles, ships, and aircraft has prompted studies directed toward the development of an accurate method for analyzing the dynamic behavior of such structures. The stability behavior of elastic curved beams has been the subject of a large number of investigations. Solutions of the relevant differential equations have been obtained traditionally using standard finite difference or finite element methods. These techniques require a great deal of computer time as the number of discrete nodes becomes relatively large under the conditions of complex geometry and loading. One of the efficient procedures for the solution of partial differential equations is the method of differential quadrature. The differential quadrature method (DQM) has been applied to a large number of cases to overcome the difficulties of the complex algorithms of programming for the computer, as well as the excessive use of storage due to the conditions of complex geometry and loading. The in-plane buckling of curved beams considering the extensibility of the arch axis was analyzed under uniformly distributed radial loads using the DQM. The critical loads were calculated for the member with various parameter ratios, boundary conditions, and opening angles. The results were compared with the precise results by other methods for cases, in which they were available. The DQM, using only a limited number of grid points, provided results that agreed very well (less than 0.3%) with the exact ones. New results according to diverse variations were obtained, showing the important roles in the buckling behavior of curved beams, and can be used in comparisons with other numerical solutions or with experimental test data.

Out-of-Plane Buckling Analysis of Curved Beams Considering Rotatory Inertia Using DQM (미분구적법(DQM)을 이용 회전관성을 고려한 곡선 보의 외평면 좌굴해석)

  • Kang, Ki-jun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.10
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    • pp.300-309
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    • 2016
  • Curved beams are increasingly used in buildings, vehicles, ships, and aircraft, which has resulted in considerable effort towards developing an accurate method for analyzing the dynamic behavior of such structures. The stability behavior of elastic curved beams has been the subject of many investigations. Solutions to the relevant differential equations have traditionally been obtained by the standard finite difference or finite element methods. However, these techniques require a great deal of computer time for a large number of discrete nodes with conditions of complex geometry and loading. One efficient procedure for the solution of partial differential equations is the differential quadrature method (DQM). This method has been applied to many cases to overcome the difficulties of complex algorithms and high storage requirements for complex geometry and loading conditions. Out-of-plane buckling of curved beams with rotatory inertia were analyzed using DQM under uniformly distributed radial loads. Critical loads were calculated for the member with various parameter ratios, boundary conditions, and opening angles. The results were compared with exact results from other methods for available cases. The DQM used only a limited number of grid points and shows very good agreement with the exact results (less than 0.3% error). New results according to diverse variation are also suggested, which show important roles in the buckling behavior of curved beams and can be used for comparisons with other numerical solutions or experimental test data.

Introductory Review on Analytical Methods of Nonlinear Vibration Problems (비선형진동문제의 해석적 해법 개요[1])

  • 이낙주
    • Journal of the KSME
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    • v.16 no.4
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    • pp.55-61
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    • 1976
  • 본강좌에서는 주로 응용의 관점에서 비선형진 등의 기본적 특성의 개요와 초보적인 해석방법을 소개함으로써 우리나라의 현시점에서 의의가 있을 것으로 생각되어 이런 기회를 마련하여 보았 다. 배경으로서는 대학과정의 미분방정식, 기계진동론 및 행렬식 및 행렬에 대한 기본계산법 등을 이수한 것으로 전제하겠으나, 될 수록 깊이 파고 들어가거나 복잡한 부분은 피하고, 한편 기억을 되살릴 필요가 있다고 생각되는 부분은 다시 설명을 붙이도록 하겠다.

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The Analytical Derivation of the Fractal Advection-Diffusion Equation for Modeling Solute Transport in Rivers (하천 오염물질의 모의를 위한 프랙탈 이송확산방정식의 해석적 유도)

  • Kim, Sang-Dan;Song, Mee-Young
    • Journal of Korea Water Resources Association
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    • v.37 no.11
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    • pp.889-896
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    • 2004
  • The fractal advection-diffusion equation (ADE) is a generalization of the classical AdE in which the second-order derivative is replaced with a fractal order derivative. While the fractal ADE have been analyzed with a stochastic process In the Fourier and Laplace space so far, in this study a fractal ADE for describing solute transport in rivers is derived with a finite difference scheme in the real space. This derivation with a finite difference scheme gives the hint how the fractal derivative order and fractal diffusion coefficient can be estimated physically In contrast to the classical ADE, the fractal ADE is expected to be able to provide solutions that resemble the highly skewed and heavy-tailed time-concentration distribution curves of contaminant plumes observed in rivers.

Understanding of Finite Element Method for Stress Analysis (응력해석에 이용되는 유한요소법의 이해)

  • 민옥기;김용우
    • Journal of the KSME
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    • v.33 no.7
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    • pp.600-613
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    • 1993
  • 유한요소법은 구조공학분야에서 발전하여 과학기술 전반에 통용되는 수치해석의 한 방법 또는 기술로서 각광받고 있다. 이 기법은 변분원리에 수학적 기초를 두는 미분 방정식의 수치해법의 하나라고 할 수 있다. 이 글에서는 고체역학 부문에 한정하여 유한요소법의 기본체계, 응력계산과 관련하여 중요 수치현상, 그리고 최근 국내외학계의 연구동향 및 상용 패키지 사용시 주의 사항에 관하여 언급한다.

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Numerical Analysis of Turbulent Swirling Cold-Flow in a Cyclonic Coal Gasifier (선회분류층형 석탄가스화기내의 비반응 난류 선회유동장 해석)

  • 이진욱;나혜령;윤용승
    • Journal of Energy Engineering
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    • v.6 no.2
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    • pp.137-144
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    • 1997
  • Turbulent swirling cold-flow in a cyclonic gasifier has been analyzed by numerical analysis. Comparison of two dimensional and three dimensional analyses has shown that concept of equivalent slit is appropriate for the two dimensionalization of three dimensional phenomena. Flow characteristics have been scrutinized by varying swirl number which is a crucial parameter in determining the flow pattern of the cyclonic gasifier. Reactive flow field has been estimated by using theoretical swirl number and equivalent slit width for reactive flow. Results show that proper flow field for the reactive coal gasification can be formed by controlling the exit area and azimuthal location of coal burners.

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Computation of Free Surface Flows and Detection of Sub-Breaking (자유표면파 계산 및 준쇄파 수치연구)

  • Kwag, Seung-Hyun
    • Journal of Ocean Engineering and Technology
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    • v.13 no.3 s.33
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    • pp.114-122
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    • 1999
  • 준쇄파(쇄파발생정 리플형태의 불안정파)를 수치적으로 해석하고 예측하기 위하여 수중날개를 대상으로 점성유동장의 계산을 수행하였다. Navier-Stokes 방정식을 사용하여 자유수면을 계산하였고 정도향상을 위하여 Euler 형태의 자유표면조건에 고차의 유한차문법을 적용하였다. 이산화 과정에서 자유표면 격자에 3차 풍상미분항을 적용시켜 수치계산을 수행하였고, 계산결과를 사용하여 준쇄파의 생성조건을 규명하였다.

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An Integrating Reasoning of Rule and Case base Using Derivatives and Expansions of Boolean Functions (Bode 함수의 미분 및 전개를 이용한 규칙과 사례의 통합 추론)

  • 박지연;김국보;정환묵
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1995.10b
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    • pp.285-292
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    • 1995
  • 최근 규칙베이스 추론과 사례베이스 추론의 통합화에 의한 추론이 다양하게 시도되 고 있다. 본 논문에서는 규칙과 사례를 동일한 형태로 표현하고, 규칙베이스와 사례베이스를 통합한 새로운 통합 추론 방법을 제안한다. 지식은 논리의 기하학적 모델을 이용하여 정보 를 논리적으로 해석하며, 동일한 형태로 표현된 규칙과 사례를 Boole 함수의 미분 및 전개 방법을 이용하여 추론하는 방법을 제안하고 응용예를 통하여 확인하다.

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Free Vibrations and Buckling Loads of Beam-Columns on Winkler-Type Foundations (Winkler형 지반위에 놓인 보-기둥의 자유진동 및 좌굴하중 해석)

  • Jeong, Jin Seob;Lee, Byoung Koo;Oh, Sang Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.4
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    • pp.251-258
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    • 1993
  • The main purpose of this paper is to present both the natural frequencies and the buckling loads of beam-columns on Winkler-type foundations. The ordinary differential equations governing the free vibrations and the buckling loads of beam-columns on Winkler-type foundation are derived as nondimensional forms. The Runge-Kutta method and Determinant Search method are used to perform the integration of the differential equations and to determine the eigenvalues(natural frequencies and buckling loads), respectively. Hinged-hinged and damped-clamped end constraints are applied in numerical examples. The relation between frequency parameter and elastic foundation parameter is presented in figure. The effects of axial loads on the natural frequencies of beam-columns on elastic foundations are investigated and the relation between buckling load parameter and elastic foundation parameter is also analyzed. The relation between foundation rested ratio and frequency parameter, buckling load parameter are investigated. The beam-columns on non-homogeneous elastic foundation are analyzed and typical mode shapes are also presented.

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