• Title/Summary/Keyword: shape equation

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A Filling Analysis on Forging Process of Semi-Solid Aluminum Materials Considering Solidification Phenomena (응고현상을 고려한 반용융 알루미늄재료의 단조공정에 관한 충전해석)

  • 강충길;최진석;강동우
    • Transactions of Materials Processing
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    • v.5 no.3
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    • pp.239-255
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    • 1996
  • A new forming technology has been developed to fabricate near-net shape products using light metal. A semi-solid forming technology has some advantages compared with the conventional forming processes such as die casting squeeze casting and hot/cold forging. In this study the numerical analysis of semi-solid filling for a straight die shape and orifice die shape in gate pattern is studied on semi-solid materials(SSM) of solid fraction fs =30% in A356 aluminum alloy. The finite difference program of Navier-Stokes equation coupled with heat transfer and solidification has been developed to predict a filling pattern and the temperature distribution of SSM. The programdeveloped in this study gives die filling patterns of SSM and final solidifica-tion region.

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Numerical Optimization of the Shape of Mixing Vane in Nuclear Fuel Assembly (핵연료 집합체 혼합날개형상의 수치최적설계)

  • Seo Jun-Woo;Kim Kwang-Yong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.8 s.227
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    • pp.929-936
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    • 2004
  • In the present work, shape of the mixing vane in Plus7 fuel assembly has been optimized numerically using three-dimensional Reynolds-averaged Navier-Stokes analysis of flow and heat transfer. Standard $k-{\epsilon}$ model is used as a turbulence closure. The Response surface method is employed as an optimization technique. The objective function is defined as a combination of heat transfer rate and inverse of friction loss. Bend angle and base length of mixing vane are selected as design variables. Thermal-hydraulic performances for different shapes of mixing vane have been discussed, and optimum shape has been obtained as a function of weighting factor in the objective function.

Shape factors of cylindrical permeameters

  • Silvestri, Vincenzo;Samra, Ghassan Abou;Bravo-Jonard, Christian
    • Geomechanics and Engineering
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    • v.3 no.1
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    • pp.17-28
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    • 2011
  • This paper presents an analytical solution for steady state flow into a close-ended cylindrical permeameter. The soil medium is considered to be uniform, isotropic, and of infinite thickness. Laplace equation is solved by considering rotational symmetry and by using curvilinear coordinates obtained from conformal mapping. The deduced shape factors, which are compared to approximate relationships obtained from both numerical and physical modelling, and idealizations involving ellipsoidal cavities, are proposed for use in field measurements. It is shown that some of the shape factors obtained are significantly different from published values and show a much higher dependence of the rate of flow on the aspect ratio, than deduced from approximate solutions.

A Study on the Fault Diagnosis of Roll-shape and Fault Tolerant Tension Control in a Continuous Process Systems (롤 형상 이상진단 및 이상극복 장력제어에 관한 연구)

  • 이창우;신기현;강현규;김광용;최승갑;박철재
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.963-968
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    • 2003
  • The continuous process systems usually consists of various components: driven rollers. idle rolls, load-cell and so on. Even a simple fault in a single component in the line may cause a catastrophic damage on the final products. Therefore it is absolutely necessary to diagnosis the components of the continuous systems. In this paper, an adaptive eccentricity compensation method is presented. And a new diagnosis method for transverse roll shape defects on rolling process is developed. The new method was induced from analyzing the rolling mechanism by using rolling force model, tension model, Hitchcock's equation, and measured delivery thickness of materials etc. Computer simulation results also show that the proposed diagnosis methods is very effective in the diagnosis of 3-D roll shape

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COMPUTATIONAL ANALYSIS OF PRESSURE DROP IN PIPE ACCORDING TO PARTICLE SHAPES (입자 형상에 따른 관내 차압의 전산해석)

  • Yoo, S.Y.;Sung, H.G.;Jang, J.S.;Roh, T.S.
    • 한국전산유체공학회:학술대회논문집
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    • 2011.05a
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    • pp.41-45
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    • 2011
  • Pressure drops of two-phase flow in a pipe according to particle shapes have been calculated and analyzed. The numerical analysis for 3 cases of Reynolds number has been conducted for each particle shape. In case of the cylinder shape, the particles had been assumed to be randomly distributed for each Reynolds number. The results have been averaged and compared to those of the case of the ball shape. Additionally, pressure drops of ball and cylinder shapes has been compared to the result of Ergun's equation.

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A Study on the Fault Diagnosis of the 3-D Roll Shape in Cold Rolling

  • Lee, Chang-Woo;Kang, Hyun-Kyoo;Shin, Kee-Hyun
    • Journal of Mechanical Science and Technology
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    • v.18 no.12
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    • pp.2174-2181
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    • 2004
  • The metal processing system usually consists of various components such as motors, work rolls, backup rolls, idle rolls, sensors, etc. Even a simple fault in a single component in the system may cause a serious damage on the final product. It is, therefore, necessary to diagnose the faults of the components to detect and prevent a system failure. Especially, the defects in a work roll are critical to the quality of strip. In this study, a new 3-D diagnosis method was developed for roll shape defects in rolling processes. The new method was induced from analyzing the rolling mechanism by using a rolling force model, a tension model, the Hitchcock's equation, and measurement of the strip thickness, etc. Computer simulation shows that the proposed method is very useful in the diagnosis of the 3-D roll shape.

A Lubrication Analysis of Gas Mechanical Face Seals using a High-Order Shape Function (고차 형상함수를 이용한 가스 미케니컬 페이스 시일의 윤활해석)

  • 이안성;양재훈;최동훈
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 2001.11a
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    • pp.204-211
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    • 2001
  • For the treatment of high compressibility number in the Reynolds equation, a new class of exponential high-order shape functions has been recently introduced in the literatures. In this paper a FE lubrication analysis method of high speed gas mechanical face seals is developed, implementing these shape functions. Their validity and usefulness are presented using 1-D gas bearing models. And a validation of developed 2-D analysis code is shown with a gas flat and spiral groove face seal models.

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An Analytic Solution of the Shape of an Inclined, Partially Filled Membrane Container (경사면에 놓인 유체 저장용 막구조물 형상의 이론적 해석)

  • Choi, Yoon-Rak
    • Journal of Ocean Engineering and Technology
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    • v.21 no.1 s.74
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    • pp.45-50
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    • 2007
  • For a long partially-filled membrane container on an incline, the analytic solution of the similarity shape is studied. The nonlinear equation is solved and its solution is expressed as elliptic integrals, which include an unknown at the point of inflection. The point of inflection is determined by using the boundary condition at the upper separating point. Some characteristic values of the universal shape are evaluated, as the functions of inclination angle and shapes are illustrated for some cases.

Shape Finding of Cable-Net Structures by Using Modified Dynamic Relaxation Method (변형된 동적이완법을 이용한 케이블-네트 구조물의 형상해석)

  • 하창우;김재열;권택진
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2000.10a
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    • pp.51-58
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    • 2000
  • Dynamic relaxation method is a shape finding analysis method for flexible structures by introducing the dynamic equilibrium equation. However, it is difficult for shape finding to estimate the most appropriate values for the mass and damping on each shape because the values are random one. In this study, the unit mass, the unit damping and the principal direction stiffness are utilized to avoid the random values, and the Newmarks assumption is introduced during the dynamic analysis. By introducing variant time increment method presented, the convergence time is reduced, that is, it can be reduced the total times for analysis.

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Construction of the shape functions of beam vibrations for analysis of the rectangular plates by Kantorovich-Vlasov's method

  • Olodo, Emmanuel E.T.;Degan, Gerard
    • Structural Engineering and Mechanics
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    • v.52 no.3
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    • pp.595-601
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    • 2014
  • For analysis of the plates and membranes by numerical or analytical methods, the question of choice of the system of functions satisfying the different boundary conditions remains a major challenge to address. It is to this issue that is dedicated this work based on an approach of choice of combinations of trigonometric functions, which are shape functions of a bended beam with the boundary conditions corresponding to the plate support mode. To do this, the shape functions of beam vibrations for strength analysis of the rectangular plates by Kantorovich-Vlasov's method is considered. Using the properties of quasi-orthogonality of those functions allowed assessing to differential equation for every member of the series. Therefore it's proposed some new forms of integration of the beam functions, in order to simplify the problem.