• Title/Summary/Keyword: Two-Dimensional Section Method

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Temperature distribution & heat transfer of rectangular cross section by the higher-order triangular finite element method (고차 삼각형 유한요소에 의한 구형단면의 온도분포와 열전달)

  • 용호택;서정일;조진호
    • Journal of the korean Society of Automotive Engineers
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    • v.3 no.3
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    • pp.24-29
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    • 1981
  • This paper is studied an efficient temperature distribution and heat transfer of two-dimensional rectangular cross-section by the higher-order triangular finite dynamic element and finite difference. This is achieved by employing a discretization technique based on a recently developed concept of finite dynamic elements, involving higher order dynamic correction terms in the associated stiffness and convection matrices. Numerical solution results of temperature distribution presented herein clearly optimum element and show that FEM10 is the most accurate temperature distribution, but heat transfer and computational effort is the most acquired.

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A Simplified Three-Dimensional Finite Element Analysis of the Non-axisymmetric Extrusion Process (비축대칭 압출 공정의 근사 3차원 유한 요소 해석)

  • Shin, H.W.;Kim, D.W.;Kim, N.
    • Transactions of Materials Processing
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    • v.1 no.1
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    • pp.52-65
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    • 1992
  • In this study a new simplified three-dimensional numerical method and the associated computer program have been developed to simulate the non-axisymmetric extrusion processes. The two-dimensional rigid-plastic finite element method under the generalized plane-strain condition is combined with the slab method. To define the die geometry for a non-axisymmetric extrusion. area mapping technique was used. Streamlined die surface was used to minimize the total extrusion pressure. Extrusion of square, hexagonal and 'T' section from round billet have been simulated and experimented with a model material. The computed results were in good agreement with the experiments in cross-sectional grid distortion. Computational results will be valuable for designing tool geometries and corresponding processes.

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A Finite Volume Method for Computations of Two-Dimensional Laminar Flows (이차원 층류유동 해석을 위한 유한체적법)

  • Kim, Ki-Sup;Chung, Myung-Kyoon
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.3
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    • pp.59-70
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    • 1992
  • A Finite volume method for the computation of the two-dimensional, incompressible, steady, laminar Navier-Stokes equation is developed using a non-staggered grid system in a general curvilinear coordinate. The numerical pressure fluctuations, usually encountered when the non-staggered grid system is used, is suppressed by the momentum interpolation method. Flows around a NACA0012 foil section have been computed by the present method and the results show good agreements with other experimental and numerical ones.

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Dynamic analysis of thin-walled open section beam under moving vehicle by transfer matrix method

  • Xiang, Tianyu;Xu, Tengfei;Yuan, Xinpeng;Zhao, Renda;Tong, Yuqiang
    • Structural Engineering and Mechanics
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    • v.30 no.5
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    • pp.603-617
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    • 2008
  • Three dimensional coupled bending-torsion dynamic vibrations of thin-walled open section beam subjected to moving vehicle are investigated by transfer matrix method. Through adopting the idea of Newmark-${\beta}$ method, the partial differential equations of structural vibration can be transformed to the differential equations. Then, those differential equations are solved by transfer matrix method. An iterative scheme is proposed to deal with the coupled bending-torsion terms in the governing vibration equations. The accuracy of the presented method is verified through two numerical examples. Finally, with different eccentricities of vehicle, the torsional vibration of thin-walled open section beam and vertical and rolling vibration of truck body are investigated. It can be concluded from the numerical results that the torsional vibration of beam and rolling vibration of vehicle increase with the eccentricity of vehicle. Moreover, it can be observed that the torsional vibration of thin-walled open section beam may have a significant nonlinear influence on vertical vibration of truck body.

Numerical simulation of the effect of section details and partial streamlining on the aerodynamics of bridge decks

  • Bruno, L.;Khris, S.;Marcillat, J.
    • Wind and Structures
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    • v.4 no.4
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    • pp.315-332
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    • 2001
  • Presented herein is a numerical study for evaluating the aerodynamic behaviour of equipped bridge deck sections. In the first part, the method adopted is described, in particular concerning turbulence models, meshing requirements and numerical approach. The validation of the procedure represents the aim of the second part of the paper: the results of the numerical simulation in case of two-dimensional, steady, incompressible, turbulent flow around a realistic bridge deck are compared to the data collected from wind-tunnel tests. In order to demonstrate the influence of the section details and of the partial streamlining of the deck geometry on its aerodynamic behaviour, in the third part of the paper the effect of the fairings and of each item of equipment of the section (such as central barriers, side railings and sidewalks) is evaluated. The study has been applied to the deck section of the Normandy cable-stayed bridge.

NUMERICAL SIMULATION OF FLOW PAST A SQUARE CYLINDER SUBMERGED UNDER THE FREE SURFACE (자유수면 아래 정방형 실린더 후류 유동에 관한 수치해석적 연구)

  • Ahn, Hyungsu;Yang, Kyung-Soo;Park, Doohyun
    • Journal of computational fluids engineering
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    • v.20 no.4
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    • pp.51-57
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    • 2015
  • In the present study, two-dimensional numerical investigation of flow past a square cylinder beneath the free surface has been performed to identify the effects of presence of the free surface. An immersed boundary method was adopted for implementation of the cylinder cross-section in a Cartesian grid system. Also, a level-set method was used to capture the interface of two fluids. To prevent transition to three-dimensional flow, Reynolds number chosen for this simulation was 150. The cases for Froude number 0.2 and gap ratio(h/D) between 0.25 and 5.00 were examined. At the specific Reynolds number, we study the effects of gap ratio on flow characteristics around a square cylinder by computing flow fields, force coefficients and Strouhal number.

A Study on Turbulent Boundary Layer around a Two-Dimensional Hydrofoil using LDV System (레이저 유속계를 이용한 2차원날개 단면 주위의 난류경계층 연구)

  • J.W. Ahn;J.T. Lee;K.S. Kim;C.Y. Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.2
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    • pp.146-158
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    • 1991
  • The flow around a two-dimensional foil section Is measured by a LDV(Laser Doppler Velocimetry) system which is capable of measuring the datailed flow field without interfering the original flow field. A 2-color 3-beam LDV system, which is capable of mea,;tiring 2 velocity components simultaneously and uses 2W Ar-Ion laser source, is used to measure the flow field around an NACA0012 foil section. The measured flow velocities are analysed iii order to study the boundary layer characteristics, flow separation and the detail structure of the flow near the trailing edge of the foil. The boundary layer characteristics are compared with the results by the head's momentum integral method. For the case of small angle of attack at relatively higher Reynolds number, both results show good agreements. The measured data of the velocity field around an NACA0012 foil section would be valuable data to validate the CFD(Computational Fluid Dynamic) calculation results. The developed experimental technique to evaluate the characteristics of two-dimensional foil sections is essential tool to develope new blade sections which have good lift characteristics and better cavitation performances.

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A Study on the Stifness of Coil Spring in the Three Dimensional Space (3차원 공간에서 코일스프링의 강성에 관한 연구)

  • 이수종
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.5
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    • pp.1130-1139
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    • 2001
  • Springs are widely utilized in machine element. To find out stiffness of coil spring, the space beam theory using the finite element method is adopted in this paper. In three dimensional space, a space frame element is a straight bar of uniform cross section which is capable of resisting axial forces, bending moments about two principal axes in the plane of its cross section and twisting moment about its centroidal axis. The corresponding displacement degrees of freedom are twelve. The displacements of nodal points due to small increment of force are calculated by the finite element method and the calculated nodal displacements are added to coordinates of nodal points. The new stiffness matrix of the system using the new coordinates of nodal points is adopted to calculated the another increments of nodal displacements, that is, the step by step method is used in this paper. The results of the finite element method are fairly well agreed with those of various experiments. Using MATLAB program developed in this paper, spring constants can be predicted by input of few factors.

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Flow Analysis of Profile Extrusion by a Modified Cross-sectional Numerical Method

  • Seo, Dongjin;Youn, Jae-Ryoun
    • Fibers and Polymers
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    • v.1 no.2
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    • pp.103-110
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    • 2000
  • Flow analysis of profile extrusion is essential for design and production of a profile extrusion die. Velocity, pressure, and temperature distribution in an extrusion die are predicted and compared with the experimental results. A two dimensional numerical method is proposed for three dimensional analysis of the flow field within the profile extrusion die by applying a modified cross-sectional numerical method. Since the cross-sectional shape of the die is varied gradually, it is assumed that the pressure is constant within a cross-sectional plane that is perpendicular to the flow direction. With this assumption, the velocity component in the cross-sectional direction is neglected. The exact cross-sectional shape at any position is calculated based on the geometry of standard cross-sections. The momentum and energy equations are solved with proper boundary conditions at a cross-section and then the same calculation is carried out for the next cross-section using the current calculated values. An L-shaped profile extrusion die is produced and employed for experimental investigation using a commercially available polypropylene. Numerical prediction for the varying cross-sectional shape provides better results than the previous studies and is in good agreement with the experimental results.

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The Effects of Different Cross Section on Natural Frequency of the Advanced Composite Materials Road Structures (복합신소재 도로구조물의 변환단면이 고유진동수에 미치는 영향)

  • Han, Bong Koo
    • International Journal of Highway Engineering
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    • v.15 no.3
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    • pp.23-29
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    • 2013
  • PURPOSES: This paper aims to give a guideline and the way to apply the advanced composite materials theory to the road structures with different cross sections to the practicing engineers. METHODS: To simple but exact method of calculating natural frequencies corresponding to the modes of vibration of road structures with different cross sections and arbitrary boundary conditions. The effect of the $D_{22}$ stiffness on the natural frequency is rigorously investigated. RESULTS: Simple method of vibration analysis for calculating the natural frequency of the different cross sections is presented. CONCLUSIONS: Simple method of vibration analysis for calculating the natural frequency of the different cross sections is presented. This method is a simple but exact method of calculating natural frequencies of the road structures with different cross sections. This method is extended to be applied to two dimensional problems including composite laminated road structures.