• 제목/요약/키워드: Incompressibility

검색결과 42건 처리시간 0.025초

Eight-node field-consistent hexahedron element in dynamic problems

  • Rajendran, S.;Prathap, G.
    • Structural Engineering and Mechanics
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    • 제8권1호
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    • pp.19-26
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    • 1999
  • Superior performance of field consistent eight-node hexahedron element in static bending problems has already been demonstrated in literature. In this paper, its performance in free vibration is investigated. Free vibration frequencies of typical test problems have been computed using this element. The results establish its superior performance in free vibration, particularly in thin plate application and near incompressibility regimes, demonstrating that shear locking, Poisson's stiffening and volumetric locking have been eliminated.

압축성을 고려한 분율 흐름 접근 방식에 근거한 삼상흐름모델 개발 (Development of Compressible Three Phases Flow Simulator Based on Fractional Flow Approach)

  • 석희준;고경석
    • 자원환경지질
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    • 제41권6호
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    • pp.731-746
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    • 2008
  • 대부분의 분을 흐름 접근 방식을 따르는 다상흐름모델들은 주로 유체나 매질의 비 압축성을 가정하거나 완전한 삼상 오염물을 다루지 않고 이상 유체 (물 또는 공기, 물 또는 불용융성유체)의 거동만을 다룬다. 그러나 본 연구에서는 유체 및 매질의 압축성과 완전한 삼상 오염물을 가정하는, 분율흐름접근방식을 따르는 수학적 지배방정식을 개발하고, 이를 토대로 압축성 유체 및 매질을 고려한 삼상흐름 수치모의프로그램을 개발하였다 개발된 삼상흐름 수치모의프로그램 (Compressible Multiphase Flow Simulator, CMPS)을 검증하기 위해서 기존에 개발된 비압축성 유체 및 매질을 고려한 삼상흐름수치모의 프로그램인 MPS (Suk and Yeh, 2007; Suk and Yeh, 2008) 및 해석해를 통해서 간접적으로 비교 검증하였다. 비교결과 CMPS와 MPS의 결과와 해석해들은 서로 잘 일치하였다. 따라서 CMPS는 압축성 유체 및 매질을 고려한 삼상흐름 수치모의를 구현 할 수 있는 가능성을 가진다.

비압축성을 고려한 와이퍼 블레이드의 거동 해석 (An Analysis about the Behavior of the Wiper Blade Including Incompressibility)

  • 정원선;송현석;박태원;정성필;김욱현
    • 한국자동차공학회논문집
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    • 제18권2호
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    • pp.83-90
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    • 2010
  • The windshield wiper consists of 4 parts: a blade, an arm, a linkage and a motor. The wiper blade makes contact with the windshield and is designed to be operated normally at an angle of 30~50 degrees to the front glass. If the contact pressure between the wiper blade and windshield surface is too high, noise and wear of the rubber will result. On the other hand, if the contact pressure is too low, the performance will do badly, since foreign substances such as dust and stains will not be removed well. The pressure and friction of the wiper blade has a great influence on its effectiveness in cleaning the front window. This is due to the contact of the rubber with the window. This paper presents the dynamic analysis method to estimate the performance of the flat type blade of the wiper system. The blade has a nonlinear characteristic since the rubber is an incompressible hyper-elastic and visco-elastic material. Thus, Structural dynamic analysis using a complex contact model for the blade is performed to find the characteristics of the blade. The flexible multi-body dynamic model is verified by the comparison between test and analysis result. Also, the optimization using the central composite design table is performed.

혼합이론에 근거한 반용융 재료의 고상률 분포 예측 (Prediction of Distribution of Solid Volume Fraction in Semi-Solid Materials Based on Mixture Theory)

  • 윤종훈;김낙수;임용택
    • 소성∙가공
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    • 제8권4호
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    • pp.399-406
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    • 1999
  • It is more appropriate to treat that the semi-solid mixture as a single phase material that obeys incompressibility in the global sense and to analyze the liquid flow only locally than the approach based on compressible yield criteria. In the present study, a numerical algorithm of updating the solid volume fraction based on mixture theory has been developed. Finite element analysis of simple upsetting was carried out using the proposed algorithm to investigate the degree of macro-segregation according to friction conditions and compressive strain rates under the isothermal condition. The simulation results were compared to experimental results available in reference to test the validity of the currently proposed algorithm. Since the comparison results show a good agreement it is construed that the proposed algorithm can contribute to the development of numerical analysis of determining the solid volume fraction semi-solid processing.

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고무패드 변형의 3차원 유한요소해석 (Three-dimensional Finite Element Analysis of Rubber Pad Deformation)

  • 신수정;이태수;오수익
    • 대한기계학회논문집A
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    • 제22권1호
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    • pp.121-131
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    • 1998
  • This paper applies the FE analysis procedure, developed in the Part I of the companion article, to the three-dimensional rubber pad deformation during rubber-pad forming process. Effects of different algorithms corresponding to incompressibility constraint and time integration methods on numerical solution responses are investigated. Laboratory scale experiments support the validity of the developed FE procedure an demonstrate the accuracy of the numerical models. Full scale model responses are also predicted using the reasonable method and parameters obtained in laboratory modeling.

A Study on Dynamic Crack-Tip Fields in a Strain Softening Material

  • Jang, Seok-Ki;Xiankui Zhu
    • Journal of Advanced Marine Engineering and Technology
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    • 제27권4호
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    • pp.494-502
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    • 2003
  • The near-tip field of mode-I dynamic cracks steadily propagating in a strain softening material is investigated under plane strain conditions. The material is assumed to be incompressible and its deformation obeys the $J_2$ flow theory of plasticity. A power-law stress-strain relation with strain softening is adopted to account for the damage behavior of materials near the dynamic crack tip. By assuming that the stresses and strain have the same singularity at the crack tip. this paper obtains a fully continuous dynamic crack-tip field in the damage region. Results show that the stress and strain components the same logarithmic singularity of (In(R/r))$\delta$, and the angular variations of filed quantities are identical to those corresponding to the dynamic cracks in the elastic-perfectly plastic material.

비압축성 문제에 대한 비적합 복합유한요소 정식화 (A new incompatible mixed formulation for incompressible and nearly-incompressible media)

  • 주상백;신효철
    • 대한기계학회논문집A
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    • 제22권2호
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    • pp.365-371
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    • 1998
  • In the present study, we attempted to add the incompatible functions as additional variable terms to the conventional u-p formulation. It is derived from the four-field generalized variational principle that encompasses velocity, pressure, velocity strains and stress fields as independent interpolated variables. As a severe test of the present formulation, we have investigated the driven cavity with the corner velocity singularity like leaky lid. Through the test, the present element performs very well without unstable oscillation of pressure distribution.

최소 제곱 무요소법을 이용한 선형 탄성 변형 해석 (The Least-Squares Meshfree Method for Linear Elasticity)

  • 권기찬;박상훈;윤성기
    • 대한기계학회논문집A
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    • 제26권11호
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    • pp.2312-2321
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    • 2002
  • The first-order least-squares meshfree method for linear elasticity is presented. The conventional and the compatibility-imposed least-squares formulations are studied on the convergence behavior of the solution and the robustness to integration error. Since the least-squares formulation is a type of mixed formulation and induces positive-definite system matrix, by using shape functions of same order for both primal and dual variables, higher rate of convergence is obtained for dual variables than Galerkin formulation. Numerical examples also show that the presented formulations do not exhibit any volumetric locking for the incompressible materials.

PENALIZED APPROACH AND ANALYSIS OF AN OPTIMAL SHAPE CONTROL PROBLEM FOR THE STATIONARY NAVIER-STOKES EQUATIONS

  • Kim, Hong-Chul
    • 대한수학회지
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    • 제38권1호
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    • pp.1-23
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    • 2001
  • This paper is concerned with an optimal shape control problem for the stationary Navier-Stokes system. A two-dimensional channel flow of an incompressible, viscous fluid is examined to determine the shape of a bump on a part of the boundary that minimizes the viscous drag. by introducing an artificial compressibility term to relax the incompressibility constraints, we take the penalty method. The existence of optima solutions for the penalized problem will be shown. Next, by employing Lagrange multipliers method and the material derivatives, we derive the shape gradient for the minimization problem of the shape functional which represents the viscous drag.

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Navier-Stokes 점성유동의 전속도 영역 해석을 위한 새로운 압력기반 PISO-유한요소법 (A New Pressure-Based PISO-Finite Element Method for Navier-Stokes Equations in All Speed Range)

  • 심은보;장근식
    • 한국전산유체공학회지
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    • 제1권1호
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    • pp.112-122
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    • 1996
  • A finite element scheme using the concept of PISO method has been developed to solve the Navier-Stokes viscous flows in all speed range. This scheme includes development of new pressure equation that retains both the hyperbolic term related with the density variation and the elliptic term reflecting the incompressibility constraint. The present method is applied to the incompressible two-dimensional driven cavity flow problems(Re=100, 400 and 1,000). For compressible flows, the Carter plate problem(M=3 and Re=1,000) is computed. Finally, we have simulated the shock-boundary layer interaction(M=2 and Re=2.96×10/sup 5/), a more difficult problem, and compared its results with the experiment to demonstrate the shock capturing capability of the present solution algorithm.

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