• 제목/요약/키워드: finite difference modelling

검색결과 60건 처리시간 0.022초

입자추적법을 이용한 해양방류구 모델링 (Ocean Outfall Modelling with the Particle Tracking Method)

  • 정연철
    • 한국항해항만학회지
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    • 제26권5호
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    • pp.563-569
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    • 2002
  • 오염물질 확산모델링시 기존의 유한차분모델의 단점을 보완하기 위해 입자추적법이 사용되고 있다. 본 연구에서는 Princeton Ocean Model에 결합하여 사용할 수 있는 3차원 입자추적모델을 개발하였으며 이를 다양한 수치실험을 통해 검증하였다. 또한 미국 플로리다 주 템파만의 해양방류구 모델링에 적용하므로써 모델의 유용성을 확인하였다. 예상대로 입자추적모델은 기존의 유한차분모델에 비해 적은 확산범위를 나타내었으며, 이는 기존의 유한차분모델이 안고 있는 수치확산에 따른 오차로 추정된다. 새로이 개발된 모델은 다양한 해양확산모델링에 유용하게 응용될 것으로 기대된다.

Numerical modelling of stress and deflection behaviour for welded steel beam-column

  • Soy, Ugur
    • Steel and Composite Structures
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    • 제12권3호
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    • pp.249-260
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    • 2012
  • In this study, stress and deflection behaviours of T-type welding joint applied to HE200M steel beam and column were investigated in finite element method (FEM) under different distributed loads. In the 3D-FEM modelling, glue option was used to contact between steel materials and weld nuggets. Geometrical model was designed as 3-dimensional solid in ANSYS software program. After that, homogeneous, linear and isotropic properties were used to design to materials of model. Solid-92 having 3-dimensional, 4 faced and 10-noded was selected as element type. In consequence of mesh operation, elements of 13285 and nodes of 28086 were occurred. Load distribution was applied to top surface of steel beam to determine behaviours of stress and deflection. As a result of FEM analysis applied with the loads of 55,000 N, 110,000 N and 220,000 N, maximum values were obtained as 116 N/$mm^2$, 232 N/$mm^2$ and 465 N/$mm^2$ for stress and obtainedas 1,083 mm, 2,166 mm and 4.332 mm for deflection, respectively. When modelling results and classical calculation values were compared, it was obtained difference of 10 % for stress values and 2.5% for deflection values.

임의의 경계조건을 갖는 비등방성 탄성체의 3차원 유한차분 해석 (Three-Dimensional Finite Difference Analysis of Anisotropic Body with Arbitrary Boundary Conditions)

  • 이상열;임성순;장석윤
    • 한국강구조학회 논문집
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    • 제12권3호통권46호
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    • pp.303-315
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    • 2000
  • 본 논문에서는 일반화된 21개 강성 매트릭스의 독립 변수를 모두 사용하였고 비등방성 3차원 탄성체의 지배 방정식 및 수치 해석 근사식을 유도하였다. 일반화된 3차원 해석은 2차원 해석의 제한성을 극복하는 정밀해를 보여줄 수 있으며, 두꺼운 보나 판, 또는 쉘에서 전단 변형 효과에 의한 처짐의 증가 효과를 더욱 정밀하게 해석할 수 있다. 따라서 본 논문은 3차원 비등방성 탄성체에 대하여 다양한 경계조건에 따른 유한 차분식을 유도하였으며 이를 전산화하여 해석 프로그램을 개발하였다. 특히, 본 논문에서는 자유경계조건에 대하여 개선된 유한차분법의 적용 방식을 제시하였다. 또한 탄성체의 각 방향 자유경계면에서 경계조건을 해결할 수 있는 일반화된 방식을 제시하였다. 몇가지 수치예제를 통하여 이러한 유한차분 경계처리 방식에 의한 비등방성 3차원 탄성체 해석의 타당성 및 거동을 분석하였다.

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Mitigation of liquefaction-induced uplift of underground structures by soil replacement methods

  • Sudevan, Priya Beena;Boominathan, A.;Banerjee, Subhadeep
    • Geomechanics and Engineering
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    • 제23권4호
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    • pp.365-379
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    • 2020
  • One of the leading causes for the damage of various underground structures during an earthquake is soil liquefaction, and among this liquefaction-induced uplift of these structures is a major concern. In this study, finite-difference modelling is carried out to study the liquefaction-induced uplift of an underground structure of 5 m diameter (D) with and without the replacement of the in-situ fine sand around the structure with the coarse sand. Soil replacements are carried out by three methods: replacement of soil above the structure, around the structure, and below the structure. The soil behaviour is represented using the elastic-perfectly plastic Mohr-Coulomb model, where the pore pressures were computed using Finn-Byrne formulation. The predicted pore pressure and uplift of the structure due to sinusoidal input motion were validated with the centrifuge tests reported in the literature. Based on numerical studies, an empirical equation is developed for the determination of liquefaction-induced maximum uplift of the underground structure without replacement of the in-situ sand. It is found that the replacement of soil around the structure with 2D width and spacing of D can reduce the maximum uplift by 50%.

유한 베어링 모델링을 이용한 왕복동형 압축기 크랭크축의 동적 거동 및 윤활특성 해석 (Dynamic Behavior and Lubrication Characteristics of a Reciprocating Compressor Crankshaft by n Finite Bearing Model)

  • 김태종
    • Tribology and Lubricants
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    • 제18권6호
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    • pp.402-410
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    • 2002
  • In this study, a hydrodynamic analysis of the reciprocating compressor crankshaft considering a finite bearing modelling of the journal bearings used in small refrigeration compressors is performed. In the problem formulation of the compression mechanism dynamics, all corresponding hydrodynamic forces and moments are considered using the finite bearing analysis in order to determine the crankshaft trajectory at each step. The solution of the Reynolds' equation is determined numerically using a finite difference method and a Newton-Raphson procedure was employed in solving the dynamic equations of the crankshaft. The crankshaft orbits fur the finite bearing model and short bearing theory were used to compare the effect of the hydrodynamic farces of the journal bearings on the dynamic and lubrication characteristics of the crankshaft-journal bearing system. Results show that the finite bearing model for the journal bearings must be considered in calculating for the accurate dynamic characteristics of the reciprocating compressor crankshaft.

Modelling the rheological behaviour of fresh concrete: An elasto-viscoplastic finite element approach

  • Chidiac, S.E.;Habibbeigi, F.
    • Computers and Concrete
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    • 제2권2호
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    • pp.97-110
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    • 2005
  • Rheological behaviour of fresh concrete is an important factor in controlling concrete quality. It is recognized that the measurement of the slump is not a sufficient test method to adequately characterize the rheology of fresh concrete. To further understand the slump measurement and its relationship to the rheological properties, an elasto-viscoplastic, 2-D axisymmetric finite element (FE) model is developed. The FE model employs the Bingham material model to simulate the flow of a slump test. An experimental program is carried out using the Slump Rate Machine (SLRM_II) to evaluate the finite element simulation results. The simulated slump-versus-time curves are found to be in good agreement with the measured data. A sensitivity study is performed to evaluate the effects of yield stress, plastic viscosity and cone withdrawal rate on the measured flow curve using the FE model. The results demonstrate that the computed yield stress compares well with reported experimental data. The flow behaviour is shown to be influenced by the yield stress, plastic viscosity and the cone withdrawal rate. Further, it is found that the value of the apparent plastic viscosity is different from the true viscosity, with the difference depending on the cone withdrawal rate. It is also confirmed that the value of the final slump is most influenced by the yield stress.

확장된 이동최소제곱 유한차분법을 이용한 이동경계문제의 해석 (Analysis of Moving Boundary Problem Using Extended Moving Least Squares Finite Difference Method)

  • 윤영철;김도완
    • 한국전산구조공학회논문집
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    • 제22권4호
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    • pp.315-322
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    • 2009
  • 본 논문은 확장된 이동최소제곱 유한차분법을 이용하여 1차원 Stefan 문제를 해석할 수 있는 새로운 수치기법이 제시한다. 이동하는 계면경계의 자유로운 수치적인 묘사를 위해 요소망이나 그리드 없이 절점만을 사용하는 이동최소제곱 유한차분법을 도입하고, 계면경계의 특이성을 모형화하기 위해 Taylor 다항식에 쐐기함수를 도입하여 확장했다. 지배방정식의 차분은 안정성을 보장해 주는 음해법(implicit method)을 이용한다. 이동경계를 포함한 반무한 융해문제, 실린더 형상의 고체화 문제의 수치해석을 통해 확장된 이동최소제곱 유한차분법이 높은 정확성과 효율성을 갖는 것을 보였다.

Transient heat transfer of unidirectional (1D) and multidirectional (2D/3D) functionally graded panels

  • Samarjeet Kumar;Vishesh Ranjan Kar
    • Steel and Composite Structures
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    • 제49권5호
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    • pp.587-602
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    • 2023
  • This article presents the numerical modelling of transient heat transfer in highly heterogeneous composite materials where the thermal conductivity, specific heat and density are assumed to be directional-dependent. This article uses a coupled finite element-finite difference scheme to perform the transient heat transfer analysis of unidirectional (1D) and multidirectional (2D/3D) functionally graded composite panels. Here, 1D/2D/3D functionally graded structures are subjected to nonuniform heat source and inhomogeneous boundary conditions. Here, the multidirectional functionally graded materials are modelled by varying material properties in individual or in-combination of spatial directions. Here, fully spatial-dependent material properties are evaluated using Voigt's micromechanics scheme via multivariable power-law functions. The weak form is obtained through the Galerkin method and solved further via the element-space and time-step discretisation through the 2D-isoparametric finite element and the implicit backward finite difference schemes, respectively. The present model is verified by comparing it with the previously reported results and the commercially available finite element tool. The numerous illustrations confirm the significance of boundary conditions and material heterogeneity on the transient temperature responses of 1D/2D/3D functionally graded panels.

디이젤엔진내의 복사열전달 효과에 관한 수치해석적 연구 (Numerical simulations of radiative and convective heat transfer in the cylinder of a diesel engine)

  • 임승욱;김동우;이준식
    • 오토저널
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    • 제14권2호
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    • pp.54-64
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    • 1992
  • During combustion process in a diesel engine radiation heat transfer is the same order of magnitude as the convection heat transfer. An approximation of heat and momentum source distributions is applied at a level consistent with those used in modelling the soot distribution and the turbulence instead of modelling the fuel spray and the chemical kinetics. This paper illustrates a use of the third order spherical harmonics approximation to the radiative transfer equation and delta-Eddington approximation to the scattering phase function for droplets in the flow. Results are obtained numerically by a time marching finite difference scheme. This study aims to compare heat transfer with convection heat transfer and to investigate the importance of scattering by fuel droplets and of accounting for spatial variations in the extinction coefficient on the radiative heat flux distributions at the walls of a disc shaped diesel engine.

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대변형 탄소성유한요오법에 의한 재료의 연화현상을 고려한 파괴거동해석 (Finite Element Method for Failure Analysis Considering Large Deformation and Strain Softening)

  • 김영민
    • 한국지반공학회지:지반
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    • 제13권2호
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    • pp.29-38
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    • 1997
  • 암석과 같은 지반재료를 전단하게 되면 응력-변형률관계에서 변형률연화현상이 관찰되어진다. 변형률연화현상은 지반공학문제에서 논하고 있는 파괴거동현상과 밀접한 관계가 있으므로 그 거동을 묘사할 수 있는 수치해석방법의 확립이 중요하다. 본 논문에서는 대변형 탄소성유한요소법을 이용하여 지반재료의 파괴거동를 묘사하기 위해서 재료의 연화성질을 도입하여 해석하는 경우, 고려해야 할 요소의 선택, 배치, 초기부정의 영향, 미소변형과 대변형 해석의 차이, 최고점 하중후의 하중제어를 하기 위한 변위제어 및 압력제어의 차이에 대하여 검토하였다.

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