• 제목/요약/키워드: Three dimensional finite element method

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평금형을 통한 3차원 압출의 정상상태 유한요소해석 (Steady-state finite element analysis of three-dimensional extrusion of sections through square die)

  • 이승훈;이춘만
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1998년도 춘계학술대회논문집
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    • pp.231-234
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    • 1998
  • This study presents steady-state finite element analysis of three-dimensional hot extrusion of sections through square dies. The objective of this study is to develop a steady-state finite element method for hot extrusion through square dies, and to provide theoretical basis for the optimal die design and process control in the extrusion technology. In the present work, steady-state assumption is applied to both analyses of deformation and temperature. The analysis of temperature distribution includes heat transfer. Convection like element is adopted for the heat transfer analysis between billet and container, and also billet and die. Distributions of temperature, effective strain rate, velocity and mean stress are discussed to design extrusion die effectively.

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열 및 응력 해석용 3차원 적층 유한요소의 개발 (Development of Three-Dimensional Layered Finite Element for Thermo-Mechanical Analysis)

  • 조성수;하성규
    • 대한기계학회논문집A
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    • 제25권11호
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    • pp.1785-1795
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    • 2001
  • A multi-layered brick element fur the finite element method is developed for analyzing the three-dim-ensionally layered composite structures subjected to both thermal and mechanical boundary conditions. The element has eight nodes with one degree of freedom for the temperature and three for the display-ements at each node, and can contain arbitrary number of layers with different material properties with-in the element; the conventional element should contain one material within an element. Thus the total number of nodes and elements, which are needed to analyze the multi-layered composite structures, can be tremendously reduced. In solving the global equation, a partitioning technique is used to obtain the temperature and the displacements which are caused by both the mechanical boundary conditions and temperature distributions. The results by using the developed element are compared wish the commercial package, ANSYS and the conventional finite element methods, and they are in good agreement. It is also shown that the Number of nodes and elements can be tremendously reduced using the element without losing the numerical accuracies.

가우스 적분점을 수정한 2차원 6-절점 요소 및 3차원 16-절점 요소에 의한 자유진동해석 (The Free Vibration Analyses by Using Two Dimensional 6-Node Element and Three Dimensional 16-Node element with Modification of Gauss Sampling Point)

  • 김정운;경진호;권영두
    • 대한기계학회논문집
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    • 제18권11호
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    • pp.2922-2931
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    • 1994
  • We propose a modified 6-node element, where the sampling point of Gauss quadrature moved in the thickness direction. The modified 6-node element has been applied to static problems and forced motion analyses. In this study, this method is extended to the finite element analysis of the natural frequencies of two dimensional problems. We also propose a modified 16-node element for three dimensional problems, which behaves much like a 20-node element with smaller degree of freedom. The modified 6-node and 16-node elements have been applied to the modal analyses of beams and plates, respectively. The results agree well with the results of the 8-node or 20-node element models.

3 차원 유한요소법을 이용한 AISI 304 표면용접평판의 잔류응력해석 (Residual Stress Analysis of AISI 304 Surface Welding Plate by 3D Finite Element Method)

  • 이경수;김태룡;김만원;박재학
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2008년도 추계학술대회A
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    • pp.390-395
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    • 2008
  • This study is performed to understand three dimensional characteristics of weld residual stress for the surface weld on the stainless steel plate. AISI 304 plate with one path weld on the surface was used as a test specimen. Finite element analysis was done to analyze thermal transient and residual stress due to weld. The result of finite element analysis was validated by previous paper and measurement data. Among various techniques for residual stress measurement, instrumented ball indentation method was applied. The calculated residual stresses by finite element analysis showed good agreement with the measured results.

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레블셋 병렬유한요소 기법을 이용한 파랑 내부 조파 (Internal Wave Generation with Level Set Parallel Finite Element Approach)

  • 이해균;이남주
    • 대한토목학회논문집
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    • 제32권6B호
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    • pp.379-385
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    • 2012
  • 최근의 컴퓨터 연산 성능의 향상과 전산유체역학 분야의 이론적 발전은 완전한 Navier-Stokes 방정식을 이용한 파랑의 수치모의를 가능하게 하였다. 본 연구에서는 질량원천함수를 이용한 내부조파 기법을 레블셋 유한요소법과 결합하였다. 수치모형은 먼저 2차원 파랑 조파와 전파에 적용되었다. 다음에 같은 문제의 3차원 파랑 모의에 적용되었다. 컴퓨터 자원의 효율적 활용과 연산속도 향상을 위하여 3차원 문제에는 병렬 계산 알고리즘이 고안되어 적용되었다. 수치모의에 의한 계산 결과를 이론적인 값과 비교하였으며, 잘 일치함을 확인할 수 있었다.

척추 수술시 요추의 유한요소해석 (Finite Element Analysis of Lumbar Spine under Surgical Condition)

  • 김동현;조상현;장동표;황운봉;정완균;오성훈;김영수
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2004년도 춘계학술발표대회 논문집
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    • pp.210-213
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    • 2004
  • We study the fracture behavior of the lumbar No.4 and No.5 vertebra subjected to posteroanterior (PA) forces, a three dimensional finite element method (FEM). The lumbar spine was modeled 3-dimensionally using commercial software based on the principle of convert stacked two dimensional CT scan images into three dimensional shapes. Determination of the boundary conditions corresponding to actual surgical conditions was not easy, so that the simplified spine beam analyses were performed. The results were used in three dimensional finite element (FE) analysis. This FE analysis, indicates that the fracture loads of the lumbar No.4 and No.5 vertebra are respectively 1550 N and 1500 N. These fracture loads are for static loading, but in actual conditions the load on the lumbar spine varies dynamically. We found that the fracture load of lumbar No.4 vertebra is larger than that of lumbar No.5 vertebra, as a result of the total stress difference by the moment.

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유한 요소기법에 의한 육각형 배열 변환기의 지향성 최적화 (Beam Pattern Optimization of Hexagonal Array Transducer Using Finite Element Method)

  • 장순석;이제형;안흥구
    • 소음진동
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    • 제10권1호
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    • pp.123-128
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    • 2000
  • This paper describes the optimization of the hexagonal array transducer using finite element method. The transducer consists of the disc type sensors. Three dimensional beam patterns of each element and the array transducer are analysed using the finite element code ATILA. Beam patterns were analyzed for the disc type transducer. To optimize beam patterns of the array transducer, Chebyshev polynomial weight is applied to each element. In case of applying optimized weight, a 30 degree width beam pattern is presented at 10kHz. This paper also includes the effect of rubber filling material instead of using the water inside the transducer array.

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고유치 해석을 이용한 보의 크랙 탐색 (Detection of a Crack in Beams by Eigen Value Analysis)

  • 이희수;이기훈;최재훈
    • EDISON SW 활용 경진대회 논문집
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    • 제5회(2016년)
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    • pp.195-202
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    • 2016
  • In this paper, crack detection method using eigen value analysis is presented. Three methods are used: theoretical analysis, finite element method with the cracked beam elements and finite element method with three dimensional continuum elements. Finite element formulation of the cracked beam element is introduced. Additional term about stress intensity factor based on fracture mechanics theory is added to flexibility matrix of original beam to model the crack. As using calculated stiffness matrix of cracked beam element and mass matrix, natural frequencies are calculated by eigen value analysis. In the case of using continuum elements, the natural frequencies could be calculated by using EDISON CASAD solver. Several cases of crack are simulated to obtain natural frequencies corresponding the crack. The surface of natural frequency is plotted as changing with crack location and depth. Inverse analysis method is used to find crack location and depth from the natural frequencies of experimental data, which are referred by another papers. Predicted results are similar with the true crack location and depth.

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Layered finite element method in cracking and failure analysis of RC beams and beam-column-slab connections

  • Guan, Hong;Loo, Yew-Chaye
    • Structural Engineering and Mechanics
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    • 제5권5호
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    • pp.645-662
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    • 1997
  • A nonlinear semi-three-dimensional layered finite element procedure is developed for cracking and failure analysis of reinforced concrete beams and the spandrel beam-column-slab connections of flat plates. The layered element approach takes the elasto-plastic failure behaviour and geometric nonlinearity into consideration. A strain-hardening plasticity concrete model and a smeared steel model are incorporated into the layered element formulation. Further, shear failure, transverse reinforcement, spandrel beams and columns are successfully modelled. The proposed method incorporating the nonlinear constitutive models for concrete and steel is implemented in a finite element program. Test specimens including a series of reinforced concrete beams and beam-column-slab connections of flat plates are analysed. Results confirm the effectiveness and accuracy of the layered procedure in predicting both flexural and shear cracking up to failure.