• Title/Summary/Keyword: 차분법

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Numerical Analysis of Nonlinear Thermoelastic Stress for Rectangular Thin Plate (사각형 박판의 비선형 열탄성 응력 수치해석)

  • Kim Chi-Kyung;Kim Sung-Jung
    • Journal of the Korean Society of Safety
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    • v.19 no.4 s.68
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    • pp.155-160
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    • 2004
  • A simply supported rectangular thin plate with temperature distribution varying over the thickness is analyzed. Since the thermal deflections are large compared to the plate thickness during bending and membrane stresses are developed md as such a nonlinear stress analysis is necessary. For the geometrically nonlinear, large deflection behavior of the plate, the classical von Karman equations are used. These equations are solved numerically by using the finite difference method. An iterative technique is employed to solve these quasi-linear algebraic equations. The results obtained from the suggested method are presented and discussed.

Comparative Analysis of Finitc Difference Methods for the St, Venant Equation (St. Venant식에 관한 유한 차분법의 비교 분석)

  • 이상호;이길성
    • Water for future
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    • v.21 no.2
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    • pp.173-182
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    • 1988
  • Characteristics of finite difference schemes for St. Venant equation were compared with two input cases. One is the monoclinal wave which has large friction slope without discontinuity and the other is the shock wave with discontinuity. For monoclinal wave, Keller Box scheme is the best in terms of accuracy, efficiency and stability when two parameters were selected with a rele : $0.5{\leq}{\theta}{\leq}1.0$, ${\theta}+{\psi}$=1, But for shock wave only the Preissmann type of parameter ${\psi}$(=0.5) showed stable results. Numerical experiments of monoclinal wave showed that Lax-Wendroff and Richtmyer schemes were more stable than leap Frog and more accurate than Lax-Fredrich scheme. For shock wave Lax-Fredrich showed larger numerical dissipation than other explicit schemes and Leap Frog produced slower mass transport.

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Analysis of Anisotropic Circular Conical Shells with Free Supports (자유경계를 갖는 비등방성 원뿔형 쉘의 해석)

  • Son, Byung Jik;Baik, Han Sol;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.12 no.4 s.47
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    • pp.417-428
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    • 2000
  • In recent years, composite materials have been used in civil engineering as well as architecture, automobile, aerospace, shipping industries. Composite materials are composed of two or more different materials to produce desirable properties for structural strength. The shell structures have the advantage of more efficient load resistance due to its curved shape as compared to the plate structures. And the shell structures with composite materials have many advantages in strength, corrosion resistance, and weight reduction. The objective of this study is to analyze circular conical shells with shear deformation effects and to prove the advantage of composite materials. To solve differential equations of conical shells, this paper used finite difference method.

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A Numerical Simulation of Ship Waves by Finite Difference Method (유한차분법에 의한 임의 선체주위의 조파 Simulation)

  • Kyu-Jong Cho;Kang-Hoon Lee;Young-Gill Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.77-94
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    • 1991
  • A finite difference method based on MAC method is used to simulate free-surface waves around a ship. Euler equations and continuity equation are differentiated using the forward time and central space, and solved by time marching scheme. By the employment of variable mesh system in horizontal and vertical direction, the numerical accuracy of wave simulation results is grossly improved. To verify the improvement of numerical accuracy, some numerical simulations are accomplished for Wigley, Series 60($C_{b}$=0.6) and a bulk carrier model. The computational results are compared to the various experimental data and show good agreements.

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Numerical Analysis on Body Temperature Change with Heating Life Vest (발열구명동의 착용에 의한 인체의 체온변화에 관한 수치해석)

  • Kim, Myoung-Jun
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.14 no.3
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    • pp.241-245
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    • 2008
  • The characteristics of temperature profile around human body with heating life vest at sea were investigated in this paper. Especially, the temperature profile of human body was numerically calculated by finite difference method with Mathcad. The main parameters were seasonal mean sea water temperature, heating amount and heating duration time of heating life vest. In this paper, the boundary layer was composed by the difference matters, and the thermal conductivity was calculated with an adjacent cells using thermal resistance method. It was clarified that the body temperature was kept highly and the risk of death from hypothermia was reduced by wearing heating life vest.

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Parammeter Optimization of the Electromagnetically Coupled Broadband Microstrip Antenna by Finite Difference Time Domain Method (시간영역 유한차분법을 이용한 전자기 결합 광대역 마이크로스트립 안테나의 파라메타 최적화)

  • 김정렬;윤현보
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.6 no.1
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    • pp.17-27
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    • 1995
  • In this paper, Finite Difference Time Domain (FDTD) method is used to analyze characteristics of the electromagnetically coupled broadband microstrip antenna, and to optimize the antenna parameters. By using short tuning stub in feedline, electromagnetically coupled microstrip antenna shows broadband (approximatcly equal 13%) characteristics, and the characteristics are varied as a function of length, width, and position of the tuning stub. Operating frequency, return loss, VSWR and input impedance are calculated by Fourier transforming the time domain results. Measurement data from fabricated electromagnetically coupled microstrip antenna are compared with FDTD results and are shown to be in good agreement. After optimization of the parameters, maximum bandwidth of about 15% is achieved.

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A Procedure for Computing Conduction Time Series Factors for Walls and Roofs with Large Thermal Capacity by Finite Difference Method (열용량이 큰 벽체나 지붕재의 전도시계열 계수를 유한차분법으로 구하는 과정)

  • Byun, Ki-Hong
    • Journal of the Korean Solar Energy Society
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    • v.38 no.5
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    • pp.27-36
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    • 2018
  • The purpose of this paper is to apply the numerical solution procedure to compute conduction time series factors (CTSF) for construction materials with large thermal capacities. After modifying the procedure in Ref. [9], it is applied to find the CTSF for the wall type 19 and the roof type 18 of ASHRAE. The response periods for one hr pulse load are longer than 24hrs for these wall and roof. The CTSF generated using modified procedure agree well with the values presented in the ASHRAE handbook. The modified procedure is a general procedure that can be applied to find CTSF for materials with complex structures. For the large thermal capacity materials, it should be checked whether thermal response period of the material is over 24hr or not. With suggested solution procedure, it is easy to check the validity of the CTSF based on 24hr period.

A Study on Post-Tensioned Reinforced Concrete Slab by the Beam Theory (포스트텐션된 철근콘크리트 슬래브의 보 이론에 의한 연구)

  • Han, Bong-Koo;Kim, Duck-Hyun
    • Composites Research
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    • v.22 no.5
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    • pp.24-29
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    • 2009
  • In this paper, a post-tensioned reinforced concrete slab was analyzed by the specially orthotropic laminates theory. Both the geometrical and material property of the cross section of the slab was considered symmetrically with respect to the neutral surface so that the bending extension coupling stiffness, $B_{ij}=0$, and $D_{16}=D_{26}=0$. Reinforced concrete slab behave as specially orthotropic plates. In general, the analytical solution for such complex systems is very difficult to obtain. Thus, finite difference method was used for analysis of the problem. In this paper, the finite difference method and the beam theory were used for analysis. The result of beam analysis was modified to obtain the solution of the plate analysis.

Development of Hydrodynamic Pressure Model for Free Surface Flow (자유수면흐름에 적용가능한 동수압 모형의 개발)

  • Lee, Jin-Woo;Cho, Yong-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2011.05a
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    • pp.64-68
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    • 2011
  • 본 연구에서는 일반 좌표계를 사용함으로써 자유수면이 매시간 변화하는 계산격자를 구성해야하는 문제점을 해결하였고, 또한 유한차분법의 단점인 지형변화의 적용성을 보완할 수 있었다. 자유수면과 동수압을 고려하기 위하여 계산단계를 3단계(정수압 계산단계, 동수압 보정단계, 자유수면 보정단계)로 나누어 해석하였고, 개발된 수치모형을 이용하여 실험값이 존재하는 수중방파제를 지나는 비선형파의 전파문제에 대해 수치모의를 실시하였다. 전반적으로 수치모의에 의한 결과는 실험값과 일치하는 경향을 나타내었다.

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RAPID THERMAL ppROCESS시 실리콘 웨이퍼 온도 분포와 열 응력 해석

  • 안강호
    • Proceedings of the Korean Vacuum Society Conference
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    • 1993.02a
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    • pp.38-40
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    • 1993
  • 급속 열처리 시스템내에서의 비정상상태 온도분포, 가스유동형태, 웨이퍼내 열응력등을 여러 가지 작동조건하에서 2차원 유한 차분법으로 계산하였다. 계산결과는 실험에서 얻은 에피성장률 데이터와 비교 검증하였다. RTpp내 가스 유동이나 온도분포는 압력 및 주위 구성요소에 크게 의존하는 반면, 웨이퍼의 온도분포는 wafer edge loss가 큰 고온에서 온도 불균일도가 가장 크다. 저온에서는 대류에 의한 열 손실이 웨이퍼내의 온도 불균일도에 큰 영향을 미치고 있다. 웨이퍼상의 열응력을 가장 크게 받는 시점은 transient condition에서 나타났다.

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