• 제목/요약/키워드: Quadrilateral Mesh

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사변형 요소를 이용한 추계론적 유한요소해석 (Stochastic Finite Element Analysis by Using Quadrilateral Elements)

  • 최창근;노혁천
    • 대한토목학회논문집
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    • 제13권5호
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    • pp.29-37
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    • 1993
  • 본 논문은 추계론적 유한요소해석의 한 방법인 가중적분법의 확장에 대해서 논하였다. 가중적분법의 사용은 Deodatis에 의해서 삼각형요소로 확장되었다. 이에 의해서 2차원 문제에 대한 응답변화도를 수치적인 해석에 의해서 얻을 수 있게 되었다. 본 논문에서는 가중적분법을 일반 평면요소를 사용할 수 있도록 확장한다. 제안된 방법에 의해서 확정론적 유한요소해석에서 사용된 요소망은 추계론적 유한요소해석에서도 그대로 사용할 수 있도록 되었다. 나아가서, CST요소는 상수만을 그 요소로 가지는 변위-변형률 행렬을 가지는 특수한 경우이므로 제안된 방법을 사용할 경우 CST요소와 일반 평면 사변형 요소를 혼용하여 사용할 수 있을 것이다.

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효과적인 열응력 해석을 위한 사각형 추가 변형률 요소의 개발 (Development of a Quadrilateral Enhanced Assumed Strain Element for Efficient and Accurate Thermal Stress Analysis)

  • 고진환;이병채
    • 대한기계학회논문집A
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    • 제23권7호
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    • pp.1205-1214
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    • 1999
  • A new quadrilateral plane stress element is developed for efficient and accurate analysis of thermal stress problems. It is convenient to use the same mesh and the same shape functions for thermal analysis and stress analysis. But, because of the inconsistency between deformation related strain field and thermal strain field, oscillatory responses and considerable errors in stresses are resulted in. To avoid undesired oscillations, strain approximation is enhanced by supplementing several assumed strain terms based on the variational principle. Thermal deformation is incorporated into the generalized mixed variational principle for displacement, strain and stress fields, and basic equations for the modified enhanced assumed strain method are derived. For the stress approximation of bilinear elements, the $5{\beta}$ version of Pian and Sumihara is adopted. The numerical results for several problems show that the present element behaves well and reduces oscillatory responses. it also results in almost the same magnitude of error as compared with the quadratic element.

상용 CFD 코드를 이용한 횡류홴 공력소음 특성 해석 (Analysis of the Aeroacoustic Characteristics of Cross-Flow Fan Using a Commercial CFD Code)

  • 전완호;정문기
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.289-294
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    • 2002
  • In this study, performance, flow characteristics and noise of a cross-flow-fan system, used in indoor unit of the split-type air conditioner, were predicted by computational simulation. Triangular elements were used to mesh the calculation domain and quadrilateral elements were attached to the blade surfaces and walls to enhance the simulation quality. The unsteady incompressible Wavier-Stokes equations were solved using a sliding mesh technique on the interface between rotating fan region and the outside. Two stripes of velocity stream inside the cross-flow-fan were shown - the one was due to the eccentric vortex and the other was due to the normal entrance flow. As the flow rate increased, the center of the eccentric vortex moved toward the inner blade tip and rear-guide, and the exiting flow still had velocity variation along the stabilizer, which can increase the noise level. The acoustic pressure was calculated by using Lowson's equation. From the calculated acoustic pressure, it was found that the trailing edge is a dominant of acoustic generation.

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시간적분형 운동방정식을 바탕으로 한 동적 응력확대계수의 계산 (Numerical Computation of Dynamic Stress Intensity Factors Based on the Equations of Motion in Convolution Integral)

  • 심우진;이성희
    • 대한기계학회논문집A
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    • 제26권5호
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    • pp.904-913
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    • 2002
  • In this paper, the dynamic stress intensity factors of fracture mechanics are numerically computed in time domain using the FEM. For which the finite element formulations are derived applying the Galerkin method to the equations of motion in convolution integral as has been presented in the previous paper. To assure the strain fields of r$^{-1}$ 2/ singularity near the crack tip, the triangular quarter-point singular elements are imbedded in the finite element mesh discretized by the isoparametric quadratic quadrilateral elements. Two-dimensional problems of the elastodynamic fracture mechanics under the impact load are solved and compared with the existing numerical and analytical solutions, being shown that numerical results of good accuracy are obtained by the presented method.

Reduction of train-induced vibrations on adjacent buildings

  • Hung, Hsiao-Hui;Kuo, Jenny;Yang, Yeong-Bin
    • Structural Engineering and Mechanics
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    • 제11권5호
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    • pp.503-518
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    • 2001
  • In this paper, the procedure for deriving an infinite element that is compatible with the quadrilateral Q8 element is first summarized. Enhanced by a self mesh-expansion procedure for generating the impedance matrices of different frequencies for the region extending to infinity, the infinite element is used to simulate the far field of the soil-structure system. The structure considered here is of the box type and the soils are either homogeneous or resting on a bedrock. Using the finite/infinite element approach, a parametric study is conducted to investigate the effect of open and in-filled trenches in reducing the structural vibration caused by a train passing nearby, which is simulated as a harmonic line load. The key parameters that dominate the performance of wave barriers in reducing the structural vibrations are identified. The results presented herein serve as a useful guideline for the design of open and in-filled trenches concerning wave reduction.

특정 사례터널 해석 결과 및 평가

  • 이두화
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1991년도 추계학술발표회 논문집 지반공학에서의 컴퓨터 활용 COMPUTER UTILIZATION IN GEOTECHNICAL ENGINEERING
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    • pp.195-215
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    • 1991
  • This report deals with the process of the finite element computation and the design of the particular example tunnel (the double track section tunnel for Line 5, 7, 8 of Seoul Subway). The finite element calculations are performed with the program MISES 3 was developed from Austria which have been used in Eroupe. The principles of mechanic and mathematic analysis for the program MISES 3 are based on "The Finite Element Method -3rd Edition" by O.C zienkiewicz. The calculations are approximate analysis method divide continuum into quadrilateral element and calculate deformation and stress, according to the force equations at the node of the element. On the calculation of under excavation, this is a very convenient method and able to calculate compounded structure with tunnel lining and surrounding materials. Although calculated under the same factor and conditions, the result is not same solution, according to the shape of mesh. Therefore , it is important that we collect the construction results of NATM on the spot and by comparing the results of the finite element method with the surveying results review the validity of analysis model.sis model.

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Damage Analysis of Reinforced Concrete Columns under Cyclic Loading

  • Lee, Jee-Ho
    • KCI Concrete Journal
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    • 제13권2호
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    • pp.67-74
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    • 2001
  • In this study, a numerical model for the simulation of reinforced concrete columns subject to cyclic loading is presented. The model consists of three separate models representing concrete, reinforcing steel bars and bond-slip between a reinforcing bar and ambient concrete. The concrete model is represented by the plane stress plastic-damage model and quadrilateral finite elements. The nonlinear steel bar model embedded in truss elements is used for longitudinal and transverse reinforcing bars. Bond-slip mechanism between a reinforcing bar and ambient concrete is discretized using connection elements in which the hysteretic bond-slip link model defines the bond stress and slip displacement relation. The three models are connected in finite element mesh to represent a reinforced concrete structure. From the numerical simulation, it is shown that the proposed model effectively and realistically represents the overall cyclic behavior of a reinforced concrete column. The present plastic-damage concrete model is observed to work appropriately with the steel bar and bond-slip link models in representing the complicated localization behavior.

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비정상 압축성 유동 해석을 위한 고차 정확도 적응 격자 기법의 연구 (HIGH-ORDER ADAPTIVE-GRID METHOD FOR THE ANALYSIS OF UNSTEADY COMPRESSIBLE FLOW)

  • 장세명
    • 한국전산유체공학회지
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    • 제13권3호
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    • pp.69-78
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    • 2008
  • The high-order numerical method based on the adaptive mesh refinement(AMR) on the quadrilateral unstructured grids has been developed in this paper. This adaptive-grid method, originally developed with MUSCL-TVD scheme, is now extended to the WENO (weighted essentially no-oscillatory) scheme with the Runge-Kutta time integration of fifth order in spatial and temporal accuracy. The multidimensional interpolation was studied in the preliminary research, which allows us to maintain the same order of accuracy for the computation of numerical flux between two adjacent cells of different levels. Some standard benchmark tests are done to validate this method for checking the overall capacity and efficiency of the present adaptive-grid technique.

적응적 유한요소를 이용한 박스형 구조물의 좌굴해석 (Buckling Analysis of Box-typed Structures using Adaptive Finite Elements)

  • 송명관;김선훈
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.271-274
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    • 2007
  • The finite element linear buckling analysis of folded plate structures using adaptive h-refinement methods is presented in this paper. The variable-node flat shell element used in this study possesses the drilling D.O.F. which, in addition to improvement of the element behavior, permits an easy connection to other elements with six degrees of freedom per node. The Box-typed structures can be analyzed using these developed flat shell elements. By introducing the variable node elements some difficulties associated with connecting the different layer patterns, which are common in the adaptive h-refinement on quadrilateral mesh, can be overcome. To obtain better stress field for the error estimation, the super-convergent patch recovery is used. The convergent buckling modes and the critical loads associated with these modes can be obtained.

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Modelling of strain localization in a large strain context

  • Cescotto, S.;Li, X.K.
    • Structural Engineering and Mechanics
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    • 제4권6호
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    • pp.645-653
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    • 1996
  • In order to avoid pathological mesh dependency in finite element modelling of strain localization, an isotropic elasto-plastic model with a yield function depending on the Laplacian of the equivalent plastic strain is implemented in a 4-node quadrilateral finite element with one integration point based on a mixed formulation derived from Hu-Washizu principle. The evaluation of the Laplacian is based on a least square polynomial approximation of the equivalent plastic strain around each integration point. This non local approach allows to satisfy exactly the consistency condition at each integration point. Some examples are treated to illustrate the effectiveness of the method.