• Title/Summary/Keyword: 확장 유한요소법

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Analysis of 1-D Stefan Problem Using Extended Moving Least Squares Finite Difference Method (확장된 이동최소제곱 유한차분법을 이용한 1D Stefan문제의 해석)

  • Yoon, Young-Cheol
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2009.04a
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    • pp.308-313
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    • 2009
  • 본 논문은 확장된 이동최소제곱 유한차분법을 이용하여 1차원 Stefan 문제를 해석할 수 있는 수치기법이 제시한다. 이동하는 경계의 자유로운 묘사를 위해 요소망이나 그리드 없이 절점만을 사용하는 이동최소제곱 유한차분법을 사용하였으며, 계면경계의 특이성을 모형화하기 위해 Taylor 다항식에 쐐기함수를 도입했다. 지배방정식은 안정성이 높은 음해법(implicit method)을 이용하여 차분하였다. 미분의 특이성을 갖는 이동경계를 포함한 반무한 융해문제의 수치해석을 통해 확장된 이동최소제곱 유한차분법이 높은 정확성과 효율성을 갖는 것을 보였다.

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Finite Element Analysis of the Residual Stress by Cold Expansion Method under the Influence of Adjacent Holes (인접 홀의 영향을 받는 홀 확장 잔류응력의 유한요소해석)

  • Kim, Cheol;Yang, Won Ho;Seok, Chang Seong;Kim, Dae Jin
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.3
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    • pp.79-84
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    • 2003
  • Cold expansion of fastener holes is a mechanical process widely used in the aerospace industry. This treatment leads to an improvement of fatigue behavior due to the developed compressive residual stresses on the hole surface. Despite its importance to aerospace industries, little attention has been devoted to the accurate modeling of the process. This study is devoted to the modeling and simulation of the residual stress resulting from the cold expansion of two adjacent fastener holes. Simultaneous cold expansion of two adjacent holes lead to much higher compressive residual stress than sequential cold expansion.

Effect on Material Property on the Frature Propagation Behavior (재료의 취성과 연성이 균열의 진전에 미치는 영향)

  • Jeong, Jaeyeon;Woo, Kyeongsik
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.42 no.11
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    • pp.919-926
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    • 2014
  • In this paper, the effect of material properties on fracture behavior was studied using cohesive zone model and extended finite element method. The rectangular tensile specimen with a central inclined initial crack was modeled by plane stress elements. In the CZM modeling, cohesive elements were inserted between every bulk elements in the predicted crack propagation region before analysis, while in the XFEM the enrichment to the elements was added as needed during analysis. The crack propagation behavior was examined for brittle and ductile materials. For thin specimen configuration, wrinkle deformation was accounted for by geometrically nonlinear post-buckling analysis and the effect of wrinkling on the crack propagation was investigated.

A Study on Mechanical Characteristics of Laminated Plates by FEM (유한요소법에 의한 적층판의 역학 특성에 관한 연구)

  • Park, Sung-Jin;Yang, Su-Jeong
    • Proceedings of the Korean Society of Disaster Information Conference
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    • 2015.11a
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    • pp.150-151
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    • 2015
  • 본 연구에서는 충격 문제를 거론하며 Mindlin 판 이론을 확장한 1차 전단 변형 이론에 근거하여 충격 하중을 받는 임의의 형상 라미네이트 응답 특성의 해명을 목적으로 아이소파라메트릭요소에 의한 정식화를 시도한다.

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Application of the Preconditioned Conjugate Gradient Method to the Generalized Finite Element Method with Global-Local Enrichment Functions (전처리된 켤레구배법의 전체-국부 확장함수를 지닌 일반유한요소해석에의 응용)

  • Choi, Won-Jeong;Kim, Min-Sook;Kim, Dae-Jin;Lee, Young-Hak;Kim, Hee-Cheul
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.24 no.4
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    • pp.405-412
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    • 2011
  • This paper introduces the generalized finite element method with global-local enrichment functions using the preconditioned conjugate gradient method. The proposed methodology is able to generate enrichment functions for problems where limited a-priori knowledge on the solution is available and to utilize a preconditioner and initial guess of good quality with only small addition of computational cost. Thus, it is very effective to analyze problems where a complex behavior is locally exhibited. Several numerical experiments are performed to confirm its effectiveness and show that it is computationally more efficient than the analysis utilizing direct solvers such as Gauss elimination method.

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

  • Yoon, Young-Cheol;Kim, Do-Wan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.4
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    • pp.315-322
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    • 2009
  • This paper presents a novel numerical method based on the extended moving least squares finite difference method(MLS FDM) for solving 1-D Stefan problem. The MLS FDM is employed for easy numerical modelling of the moving boundary and Taylor polynomial is extended using wedge function for accurate capturing of interfacial singularity. Difference equations for the governing equations are constructed by implicit method which makes the numerical method stable. Numerical experiments prove that the extended MLS FDM show high accuracy and efficiency in solving semi-infinite melting, cylindrical solidification problems with moving interfacial boundary.

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

  • Choi, Chang Koon;Noh, Hyuk Chun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.5
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    • pp.29-37
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    • 1993
  • The extension of the weighted integral method in the area of stochastic finite element analysis is presented. The use of weighted integral method in numerical analysis was extended to CST(constant strain triangle) element by Deodatis to calculate the response variability of 2D stochastic systems. In this paper, the extension of the weighted integral method for general plane-elements is represented. It has been shown that the same mesh used in the deterministic FE analysis can be used in the stochastic FE analysis. Furthermore, because the CST element is a special case which has constant strain-displacement matrix the mingling of CST elements with the other quadrilateral elements in the analysis may also be possible.

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Vibration of Pipes Coupled with Internal and External Fluids (내부 및 외부 유체와 연성된 파이프의 진동 해석)

  • Ryue, Jung-Soo
    • The Journal of the Acoustical Society of Korea
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    • v.31 no.3
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    • pp.142-150
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    • 2012
  • The waveguide finite element (WFE) method is a useful numerical technique to investigate wave propagation along waveguide structures which have uniform cross-sections along the length direction ('x' direction). In the present paper, the vibration and radiated noise of the submerged pipe with fluid is investigated numerically by coupling waveguide finite elements and wavenumber boundary elements. The pipe and internal fluid are modelled with waveguide finite elements and the external fluid with wavenumber boundary elements which are fully coupled. In order to examine this model, the point mobility, dispersion curves and radiated power are calculated and compared for several different coupling conditions between the pipe and internal/external fluids.

Fluid-Structure Interaction in the Axisymmetric Abdominal Aortic Aneurysm By Pulsatile Flow (맥동유동에 의한 축대칭 복부대동맥류의 유체-고체 상호작용)

  • 권치호;김영호
    • Journal of Biomedical Engineering Research
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    • v.22 no.1
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    • pp.59-68
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    • 2001
  • 유체-고체 상호작용을 고려하여 다양한 복부대동맥류 모델에 대해서 맥동유동 및 구조를 동시에 해석하였다. 동맥류의 확장부 크기와 혈관벽 두께에 따라서 총 여덟 개의 축대칭 동맥류 모델을 선정하였다. 유한체적법 및 압력기반의 유한차분법을 이용하여 유동을 해석하였으며, 유한요소법을 이용하여 구조해석을 수행하였다. 동맥류의 확장부위가 클수록 최대응력은 최대확장부위와 변곡점에 해당하는 동맥류의 입구 및 출구 부분에 집중되었으며, Von Mises 응력은 최대확장부위 뿐만 아니라 동맥류의 근위부와 원위부($\pm$1D)에서도 현저하게 증가하였다. 또한 더욱 확장된 모델일수록 혈관벽은 직경방향의 변위보다 축방향의 변위가 지배적이었으며, 동맥류 원위부보다 근위부에서 큰 축방향 변위를 나타냈다. 동맥류 입구부의 미약한 와류는 한 주기동안 그 크기와 강도를 더해가며 동맥류 원외부로 이동하였고, 동맥류의 내부 유동은 압력차이가 감소하는 기간동안 더 큰 영향을 받았다. 확장정도가 심할수록 동맥류 내부에 더 크고 강한 와류가 관찰되었다. 압력차이가 최소가 된 직후 동맥류의 근위부와 원위부동맥 벽 근처에서의 역방향 유동이 관찰되었다. 대체로 혈관벽 두께가 감소한 모델과 더욱 확장된 모델일수록 벽전달률은 감소하였다. 혈관벽의 탄성에 의하여 압력차이와 벽전달률 사이에 위상차가 존재함이 확인되었다. 유체-고체의 상호작용을 고려한 연구는 다른 심혈관계를 이해하는데도 매우 유익할 것으로 생각된다.

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Acoustic Analysis of Simple Expansion Chamber Using Mode Matching Method with Arbitrary Number of Modes (임의의 모드를 가지는 모드적합법을 사용한 원형 단순확장관의 음향해석)

  • 김봉준;정의봉;이정환
    • The Journal of the Acoustical Society of Korea
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    • v.19 no.1
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    • pp.54-60
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    • 2000
  • There are many works to analyze a simple expansion chamber involving higher order modes. These works are classified to mode matching method, velocity potential method and finite element method. Among these methods, mode matching method has good performance at analyzing a concentric expansion chamber. Generally inlet/outlet pipe cross section area is smaller than middle chamber cross section area. So the number of higher order modes of inlet/outlet pipe can be fewer than that of middle chamber. But mode matching method must use the same number of higher order modes at inlet pipe, middle chamber and outlet pipe. Therefore the redundant modes of inlet/outlet pipe makes the computation time of mode matching method longer. In this paper, the new method, which can select number of each higher order modes of inlet pipe, middle chamber and outlet pipe, was suggested. And this method was compared to conventional mode matching method and finite element method in order to demonstrate the accuracy of the new method and to show that the new method can reduce a calculating time.

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