• Title/Summary/Keyword: 유한차분 해석

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Application of Channel Routing Model by Taylor-Galerkin Finite Element Method -Modeling of Flow in Flood- (테일러-갤러킨 유한요소법에 의한 하도추적 모형의 적용 -홍수시 하천 유량 모의-)

  • Lee, Hae-Gyun
    • The Journal of the Korea Contents Association
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    • v.11 no.1
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    • pp.404-410
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    • 2011
  • For the simulation of one-dimensional unsteady flow, the Taylor-Galerkin finite element method was adopted to the discretization of the Saint Venant equation. The model was applied to the backwater problem in a single channel and the flood routing in dendritic channel networks. The numerical solutions were compared with previously published results of finite difference and finite element methods and good agreement was observed. The model solves the continuity and the momentum equations in a sequential manner and this leads to easy implementation. Since the final system of matrix is tri-diagonal with a few additional entry due to channel junctions, the tri-diagonal matrix solution algorithm can be used with minor modification. So it is fast and economical in terms of memory for storing matrices.

Failure Strength Analysis of Simply Supported Sandwich Slab Bridges made by Composite Materials (복합재료로 만들어진 단순지지 샌드위치 슬래브 교량의 파괴강도해석)

  • Han, Bong-Koo;Kim, Se-Won
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.11 no.1
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    • pp.77-84
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    • 2007
  • In this paper presented, a design method of sandwich slab bridge of simple supported made by composite materials. Many of the bridge systems, including the girders and cross-beams, and concrete decks behave as the special orthotropic plates. Such systems with sections, boundary conditions other than Navier or Levy solution types, or with irregular cross sections, analytical solution is very difficult to obtain. Thus, Finite Difference Method is used for analysis of the pertinent problem. For the design of bridge made by the composite materials, cross-section is used the form-core shape because of this shape is economical and profitable, and for output of the stress value used F.D.M. Based the experimental of a composite specialist, an equation expressing the rate of decrease of tensile strength of glass fibers based on increase of mass was obtained. From these equations, one can estimate the rate of tensile strength reduction due to increased size. Tasi-Wu failure criterion for stress space is used. Strength-failure analysis procedure, using these reduced tensile strength, is presented.

Analysis of Consistency and Accuracy for the Finite Difference Scheme of a Multi-Region Model Equation (다영역 모델 방정식의 유한차분계가 갖는 일관성과 정화성 분석)

  • 이덕주
    • Journal of Korea Soil Environment Society
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    • v.5 no.1
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    • pp.3-12
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    • 2000
  • The multi-region model, to describe preferential flow, is an equation representing solute transport in soils by dividing soil into numerous pore groups and using the hydraulic properties of the soil. As the model partial differential equation (PDE) is solved numerically with finite difference methods. a modified equivalent partial differential equation(MEPDE) of the partial differential equation of the multi-region model is derived to analyze the accuracy and consistency of the solution of the model PDE and the Von Neumann method is used to analyze the stability of the finite difference scheme. The evaluation obtained from the MEPDE indicated that the finite difference scheme was found to be consistent with the model PDE and had the second order accuracy The stability analysis is performed to analyze the model PDE with the amplification ratio and the phase lag using the Von Neumann method. The amplification ratio of the finite difference scheme gave non-dissipative results with various Peclet numbers and yielded the most high values as the Peclet number was one. The phase lag showed that the frequency component of the finite difference scheme lagged the true solution. From the result of the stability analysis for the model PDE, it is analyzed that the model domain should be discretized in the range of Pe < 1.0 and Cr < 2.0 to obtain the more accurate solution.

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A New Method for Elasto-Plastic Analysis of Concrete Lining Installed in a Deep Circular Tunnel (심부 원형터널에 시공된 콘크리트 라이닝의 새로운 탄소성해석법)

  • Lee, Youn-Kyou;Park, Kyung-Soon;Song, Won-Kyong;Park, Chul-Whan;Choi, Byung-Hee
    • Tunnel and Underground Space
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    • v.19 no.4
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    • pp.355-365
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    • 2009
  • This paper proposes an elasto-plastic finite difference method which is useful for the stability evaluation of concrete lining installed in a deep circular tunnel. Mohr-Coulomb criterion is assumed for the condition of yielding in both the rock mass and concrete lining. In order to take into account the installation delay of lining after the excavation, the outer boundary pressure acting on the lining was calculated with the consideration of the convergence occurred before the lining installation. The distributions of stress and displacement in the rock mass and lining were calculated based on the method proposed Lee & Pietruszczak (2008). The applicability of the proposed method was demonstrated by conducting the elasto-plastic analysis of concrete lining supporting an imaginary compressed air storage tunnel. The analysis result revealed that the exact determination of the boundary pressures acting on the concrete lining is of importance in the stability analysis of concrete lining.

Application of Expanding-cell FDTD Method to Microstrip-to-Waveguide Transition (Expanding-cell 유한차분법의 마이크로스트립-도파관 변환기에의 적용)

  • 강희진;최재훈
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.11 no.3
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    • pp.345-351
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    • 2000
  • In this paper, we design and analyze a Ka-band microstrip line to rectangular waveguide transition using the expanding-cell FDTD method. The transition under investigation consists of a ridged waveguide, microstrip line, and $\lambda$/4 Chebyshev impedance transformer. To improve the accuracyand efficiency, the expanding-cell FDTD method is applied to analyze the characteristics of a ridged waveguide impedance transformer. To verify the accuracy of the expanding-cell FDTD method, S parameters of the analyzed transition are compared with those of experimental data. The efficiency of the present approach is verified by comparing the computational time for expanding-cell and that for fine cell. The relation between the number of step and operation bandwidth is analyzed by comparing the characteristics of four and three step Chebyshev waveguide impedance transformer.

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Size Effects in the Failure of Specially Orthotropic Sandwich Slab Bridges (치수효과를 고려한 특별직교이방성 샌드위치 슬래브교량의 파괴강도해석)

  • Han, Bong Koo;Lee, Yong Ho
    • Journal of Korean Society of Steel Construction
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    • v.16 no.3 s.70
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    • pp.333-344
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    • 2004
  • In civil engineering applications, the establishment of standards and procedures for analysis, design, fabrication, construction, and quality control are essential in facilitating the economic and efficient use of composite materials. Many bridge systems, including girders. cross beams, and concrete decks, function as specially orthotropic plates. in general, the analytical solution for such complex systems is very difficult to achieve. Thus, the finite difference method is used for the analysis of the problem. The rate of tensile strength reduction due to increased size is considered. Strength reduction is necessary to ensure the safe design of building structures. This paper suggests the use of a strength-failure analysis procedure using the reduced tensile strength. A numerical study is conducted for different cases. The Tasi-Wu failure criterion for stress space is also used.

A Study on the Weight Reduction of X,Y stage of Semiconductor Inspection Equipment using Sensitivity Analysis (민감도 분석을 이용한 반도체 검사 장비의 X, Y 스테이지 구조의 경량화 연구)

  • Koh, Man Soo;Kwon, Soon Ki;Kim, Cham Nae
    • Journal of Digital Convergence
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    • v.17 no.7
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    • pp.125-130
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    • 2019
  • Sensitivity analysis is used to determine the effect of a change in a design parameter on the total system, and the calculated sensitivity is an important indicator of the improvement of a structure. In this study, we investigated the method of deriving and analyzing the sensitivity of design parameters by using finite element analysis and the method of improving a structure by using sensitivity analysis results. Design parameters for weight reduction design were selected using actual semiconductor inspection equipment that requires structural improvement, and the sensitivity to design parameters was calculated by using and finite difference method. We propose an improvement method that can reduce the weight while maintaining the transient response required by the equipment. By using the results of the sensitivity analysis through finite element analysis and finite difference method, we can create a structurally improved design that satisfies the desired stress or displacement by improving the design of the structure. Therefore, sensitivity analysis is applicable to various fields as well as semiconductor inspection equipment.

A Finite-difference Modeling of Love Channel Waves in Transversely Isotropic Medium (유한차분식을 이용한 Transverse 이방성(異方性) 매질내 Love채널파동 연구)

  • Cho, Dong-Heng;Lee, Sung-Soo
    • Economic and Environmental Geology
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    • v.27 no.3
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    • pp.281-287
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    • 1994
  • The present paper deals with numerical modeling of Love channel waves in transversely isotropic elastic medium. First, an explicit finite-difference scheme of second order approximation is formulated with the wave equation of SH particle displacement in transversely isotropic medium. Since it is a heterogeneous formulation, it should enable efficient modeling of complex model structures without additional treatment of the internal boundary matching. With a model of isotropic coal seam embedded in high velocity host rock, seismograms are synthesized and tutn out to be essentially identical with published ones of Korn and $St{\ddot{o}}ckl$. Next, anisotropic coal seams are investigated. It is found that the horizontal velocity of the seam appears to play a major role of determining the group velocity of Love channel waves. The group velocity increases with the increase of the horizontal velocity or vice versa. However, further study will be needed to exploit fully Love channel waves for the determination of lithology, stratification, fracture in sedimentary rocks, for instance, for hydrocarbon exploration and development.

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