한국전산구조공학회논문집 (Journal of the Computational Structural Engineering Institute of Korea)

  • 제13권4호
  • /
  • Pages.475-484
  • /
  • 2000
  • /
  • 1229-3059(pISSN)
  • /
  • 2287-2302(eISSN)
한국전산구조공학회 (Computational Structural Engineering Institute of Korea)
권호 표지

회전자유도를 갖는 비적합 8-절점 입체요소의 개선

Improved Nonconforming 8-node Solid Element with Rotational Degrees of Freedom

  • 최창근 (한국과학기술원 토목공학과) ;
  • 정근영 (한국과학기술원 토목공학과) ;
  • 이태열 (한국과학기술원 토목공학과)
  • 발행 : 2000.12.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

본 연구에서는 찌그러진 요소에서의 휨거동 개선을 위한 추가적인 비적합변위형과 효율적인 비적합변위형의 수정방법의 개발을 통하여 기존 비적합 입체요소의 개선을 시도하였으며, 회전자유도가 독립변수로 존재하는 범함수를 이용하여 매개변수의 값에 따라 회전자유도의 도입유무가 결정되도록하는 입체요소를 개발하였다. 제시된 요소에서는 변위장과 회전장에 동일한 형상함수를 적용하였으며, 비적합변위형은 변위장에만 적용하였다. 다양한 예제를 통한 수치실험결과 개발된 요소는 양호한 거동을 보여주었으며, 특히 휨거동에 있어서 개선된 거동을 보였다.

In this paper, new additional nonconforming modes for the improvement of bending behavior in the distorted 8 node hexahedral element and their effective modification method are studied. The rotational degrees of freedom are introduced by using a functional in which the rotations are independent variables. In an element formulation, the same interpolations are used in displacement and rotation fields, but nonconforming modes we applied only in displacement fields. To verify the developed element various numerical tests are carried out and test results show good behavior.

키워드

참고문헌

  1. 유한요소법 최창근
  2. Comp. Methods Appl. Mech. Eng. v.72 On drilling degrees of freedom Hughes,J.R.;Brezzi,F.
  3. Int. J. Numer. Meth. Eng. v.30 A robust quadrilateral membrane element with rotational degrees of freedom Ibrahimbegovic,A.;Taylor,B.L.;Wilson,E.L.
  4. Int. J. Numer. Meth. Eng. v.31 Thick Shell and Solid Finite Elements with Independent Rotation Fields Ibrahimbegovic,A.;Wilson,E.L.
  5. Int. J. Numer. Meth. Eng. v.31 Solid Elements with Rotational Degrees of Freedom: Hexahedron Elements Yunus,S.M.;Pawlak,T.P.
  6. Computational Mechanics v.9 Formulation of a membrane finite elemnt with drilling degrees of freedom Iura,M.;Atluri,S.N.
  7. Proceedings of 6th International conference on Computing in Civil and Building Eng. v.1 Three-dimensional variable node solid element with drilling degrees of freedom Choi,C.K.;Chung,K.Y.
  8. Structural Engineering and Mechanics v.4 no.5 Three-dimensional non-conforming 8-node solid elements with Rotational Degrees of Freedom Choi,C.K.;Chung,K.Y.;Lee,N.H.
  9. Finite Elements in Analysis and Design v.1 A Proposed Standard Set of Problems to Test Finite Element Accuracy MacNeal,R.H.;Harder,R.L.
  10. Int. J. Numer. Meth. Eng. v.22 The Patch Test-a Condition for Assessing FEM convergence Taylor,R.L.;Simo,J.C.;Zienkierwicz,O.C.;Chan,A.G.H.
  11. Finite Elements in Analysis and Design v.31 Use of incompatible displacement modes for the calculation of element stiffnesses or stresses Wilson,E.L.;Ibrahimbegovic,A.
  12. Structural Engineering and Mechanics v.1 no.1 Three Dimensional Solid elements for Adaptive Mesh Gradation Choi,C.K.;Lee,N.H.