전산구조공학 (Computational Structural Engineering)

한국전산구조공학회 (Computational Structural Engineering Institute of Korea)
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Arc Length Method에 의한 비선형 문제의 해법

Nonlinear Analysis Method by the Arc Length Method

  • 이대희 (한국원자력연구소 기계설계팀 계통기계분야) ;
  • 최종근 (고등기술연구원 자동차기술연구실)
  • 발행 : 1996.09.01
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초록

비선형 알고리즘으로 "Arc legnth method"를 사용하여 변형률 요소 기법에 의해 구성된 전단 효과를 고려한 곡선보 요소를 이용하여 아치보(arch beam)의 스냅좌굴(snap buckling)현상을 해석함으로써 접선 강성행렬의 선택에 따른 알고리즘의 수렴 특성을 검토하였다. 또한 아치보의 스냅 좌굴현상에서 아치보의 길이와 높이의 비에 따른 스냅 좌굴 진전 특성을 검토하였다.

The performance for the algorithm of the arc length method has been examined in terms of the choice of the tangential stiffness matrix through the analysis for the snap buckling phenomenon of the arch beam. The curved beam element with 2 nodes including shear effect has been formed by strain element technique and then it has been used in this nonlinear analysis. Snap-through characteristics has been examined with respect to the ratios of the arch beam length to hight.

키워드

참고문헌

  1. The Finite Element Method Displayed Dhatt, G.;Touzot, G.;Cantin, G.
  2. Int. J. Numer.Meth. Engng. 3 Incremental Displacement in Non-linear Analysis O. C. Zienkiewicz
  3. Algorithm for Large Deflection Geometrically Non-linear Plane and Curved Structures, In Mathematics of Finite Elements and Applications A. C.;A. B. Saber
  4. Int. J. Numer. Meth. Engng. v.14 Incremental Displacement Algorithms for Non-linear Problems J. L. Batoz;G. S. Dhatt
  5. Int. J. Mech. Sci. v.15 Large Deflection, Geometrically Non-linear Finite Element Analysis of Circular Arches Saberm A. B.;Lock, A. C.
  6. Int. J. Solids Structures v.15 An Incremental Approach to the Solution of Snapping and Buckling Problems E. Riks
  7. Comput. Struct. v.13 A Fast Incremental/Iterative Solution Procedure that Handles 'Snap-Through M. A. Crisfield
  8. Int. J. Numer. Meth. Engng. v.19 An-Arc-Length Method Including Line Searcheres and Acclerations M. A. Crisfield
  9. Proc. First Word Congress on Computational Mechanics Combining Quasi-Newton and Arc-Length Methods for the Analysis of Nonlinear Problems in the Post Limit Range K. Scheizerhof;E.Ramm
  10. Comput. St. Periodically Restarted Quasi-Newton Updates in Constrant Arc-length Method C. C. Chang
  11. 대한기계학회 논문집(제 15권 3호) 전단 효과를 고려한 새로운 곡선보 요소 최종근;임장근