• Title/Summary/Keyword: 8절점 육면체요소

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주조 해석을 위한 3차원 상변화 유한 요소 해석 프로그램 개발

  • 하성규;조성수
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 1997.04a
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    • pp.147-159
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    • 1997
  • 본 연구에서는 상변화 영역에서 열평형 방정식을 별도로 수식화하지 않고도 잠열의 영향을 고려할 수 있으며, 고상과 액상 그리고 2상 영역에서 동일한 형태의 방정식을 사용할 수 있는 엔탈피법을 이용하였다. 상변화 문제의 엔탈피법을 이용한 유한요소해석을 위하여 8개의 절점을 가지며, 각 절점에서 1개의 자유도를 가지는 3차원 육면체 요소가 개발되었다. 해법의 타당성과 해의 정확도를 검증하기 위하여 엄밀해가 존재하는 상변화 문제를 유한요소법으로 해석하고 그 결과를 비교 검토하였다. 연구 결과, 엔탈피법에 의한 유한요소해는 상변화 영역이 하나의 특정 온도인 경우는 물론 온도 구간으로 나타나는 경우에도 시간 증분과 요소수에 크게 영향을 받지 않고 안정된 해가 됨을 알 수 있었다. 검증된 요소를 이용하여 3차원 상변화 문제에 적용하여 해를 나타내었다.

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Process Design in Coining by Three-Dimensional Backward Tracing Scheme of Rigid-Plastic Finite Element Method (강-소성 유한요소법의 3차원 역추적 기법을 적용한 코이닝 공정설계)

  • 최한호;변상규;강범수
    • Transactions of Materials Processing
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    • v.6 no.5
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    • pp.408-415
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    • 1997
  • The backward tracing scheme of the finite element analysis, which is counted to be unique and useful for process design in metal forming, has been developed and applied successfully in industry to several metal forming processes. Here the backward tracing scheme is implemented for process design of three-dimensional plastic deformation in metal forming, and it is applied to a precision coining process. The contact problem between the die and workpiece has been treated carefully during backward tracing simulation in three-dimensional deformation. The results confirm that the application of the developed program implemented with backward tracing scheme of the rigid plastic finite element leads to a reasonable initial piercing hole configuration. It is concluded that three-dimensional extension of the scheme appears to be successful for industrial applications.

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p-Adaptive Analysis by Three Dimensional Hierarchical Hexahedral Solid Element (3차원 계층적 육면체 고체요소에 의한 p-적응적 해석)

  • Woo, Kwang-Sung;Jo, Jun-Hyung;Shin, Young-Sik
    • Journal of Korean Association for Spatial Structures
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    • v.8 no.4
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    • pp.81-90
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    • 2008
  • This paper presents a finite element formulation for the three-dimensional hierarchical solid element using Integrals of Legendre polynomials. The proposed hexahedral solid element is composed of four different modes including vertex, edge, face, and internal mode, respectively. The eigenvalue and patch test have been carried out to confirm the zero-energy mode and constant strain condition. In addition to these, a posteriori error estimation has been studied for the p-adaptive finite element analysis that is based on a smoothing technique to compute a post-processed solution from the finite element solution. The uniform p-refinement and non-uniform p-refinement are compared in terms of convergence rate as the number of degree of freedom is increased. The simple cantilever beam is tested to show the performance of the proposed solid element.

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Analysis of Strength and Displacement of Jig Body in Index Machine (Index Machine의 Jig Body 강도 및 변위해석)

  • 한근조;오세욱;김광영;안성찬;전형용
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.3
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    • pp.24-30
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    • 1998
  • Strength and displacement of jig body in index machine utilized for multiprocess machining such as drilling, boring and tapping, etc, at the same time were analyzed by the use of finite element analysis soft ware ANSYS 5.2A. The whole geometry was constructed by 4048 elements and 7016 nodes employing 8 node brick element. The analyses were carried out on five loading cases combining vertical and horizontal machining to simulate the case occurring large displacement and the one occurring small displacement one and provided following conclusions. (1) Jig body had sufficient strength because its safety factor was 6.95 even in the most severe loading case. (2) The largest displacement in Z direction was 549 m and that in radial direction was 43.7 m. (3) In order to reduce the displacement, vertical machining rather than horizontal or two or three processes should be adopted in the same station. (4) Alternate change of horizontal machining direction at consecutive stations can reduce the displace ment. (5) The dimension of the slider should be increased to reduce the displacement by the tolerance in the sliding part. (6) A bypass idle piston head needs to be installed to give a counterpart supporting load from opposite direction for a single horizontal machining case.

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Incompatible Three-Dimensional Hexagonal Finite Elements by Multivariable Method (다변수 변분해법에 의한 비적합 8절점 육면체 요소)

  • Ju, Sang-Baek;Sin, Hyo-Chol
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.7
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    • pp.2078-2086
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    • 1996
  • This paper introduces two three-dimensional eight-node hexagonal elements obtained by using multivariable variational mehtod. Both of them are based on the modified hellinger-reissner principle to employ incompatible displacements and assumed stresses of assumed strains. The internal functions of element are introduced to as element formulation through two different methods : the first one uses the functions determined directly from the element boundary condition of the incompatible displacements ; while the second, being a kind of B-bar mehtod, employs the modification technique of strain-displacement matrix to pass the patch test. The elements are evaluated on the selective problems of bending and material incompressibility with regular and distorted meshes. The results show that the new elements perform with good accuracy in both of deformation and stress calculation and they are insensitive to distorted geometry of element.