개선된 하중 및 변위 증분법

The Improved Load/Displacement Incremental Method

  • Kim, Moon-Young (Department of Civil Engineering, Sung Kyun Kwan University) ;
  • Chu, Seok-Beom (Department of Civil Engineering, Seoul National University) ;
  • Chang, Sung-Pil (Department of Civil Engineering, Seoul National University)
  • 발행 : 1996.12.30

초록

본 연구에서는 박벽 구조물의 기하학적 비선형 해석을 수행하기 위하여 개선된 하중 및 변위 증분의 조합법이 제시되었다. 제안된 알고리즘은 기존의 하중 및 변 변위 증분의 조합법 이 고정된 증분량을 갖는 점을 개선하여, 수렴정도에 따라 증분량을 변화시킴으로써, 여러개의 임계점을 갖는 비선형 거동을 보다 효율적으로 추적하도록 하였다. 또한 하중 및 변위 증분법을 전환점을 첫 단계의 기울기에 비례한 값으로 대체함으로써 사용자의 편리를 도모하였다. 트러스, 공간 뼈대, 아치, 쉘 구조물 등의 기하학적 비선형 해석 예제를 통하여, 본 연구에서 제시한 개선된 하중 및 변위 증분의 조합법의 적용성을 입증하였다.

키워드

참고문헌

  1. Finite Element Procedures in Engineering Analysis Bathe, K.J.
  2. International Journal for Numerical Methods in Engineering v.14 Incremental displacement algorithms for non-linear problems Batoz, J.H.;Dhatt, G.
  3. International Journal for Numerical Methods in Engineering v.17 Improved iteration strategy for nonlinear structure Powell, G.;Simons, J.
  4. Computers & Structures v.13 A fast incremental/iterative solution procedure that handles 'snapthrough' Crisfield, M.A.
  5. Strategies for tracing the nonlinear response near limit points, Nonlinear Finite Element Analysis in Structural Mechanics Ramm, E.;Wunderlich, W.(ed.);Stein, E.(ed.);Bathe, K.J.(ed.)
  6. Computers & Structures v.17 On the automatic solution of nonlinear finite element equations Bathe, K.J.;Dvorkin, E.N.
  7. Computational Methods in Applied Mechanics and Engineering v.47 Geometrically nonlinear analysis of space frames by an incremental iterative technique Meek, J.L.;Tan, H.S.
  8. Computers & Structures v.26 An improved automatic incremental algorithm for the efficient solution of nonlinear finite element equations Bellini, P.X.;Chulya, A.
  9. International Journal for Numerical Methods in Engineering v.28 Tracing the equilibrium path beyond simple critical points Kouhia, R.;Mikkola, M.
  10. International Journal for Numerical Methods in Engineering v.29 A truncated Newton-Lanczos method for overcoming limit and bifurcation points Papadrakakis, M.
  11. International Journal for Numerical Methods in Engineering v.29 A study of incremental-iterative strategies for nonlinear analyses Clarke, M.J.;Hancock, G.J.
  12. International Journal for Numerical Methods in Engineering v.30 A general procedure for the direct computation of turning and bifurcation points Wriggers, P.;Simo, J.C.
  13. Journal of Korean Society of Civil Engineers v.10 Automatic load and displacement incremental algorithm for geometric non-linear finite element analysis of the structure subjected to conservative and non-conservative forces Kim, M.Y.;Chang, S.P.
  14. Journal of Korean Society of Civil Engineers v.26 Elasto-plastic buckling analysis of stiffened and laminated composite plate and shell structures using the degenerated shell element Kim, M.Y.;Cheol, M.B.
  15. Computers & Structures v.21 Location of stable and unstable equilibrium configrations using a model truss region quasi-Newton method and tunneling Kwok, H.H.;Kamat, M.P.;Watson, L.T.
  16. Computers & Structures v.14 Post-buckling analysis of spatial structures by vector iteration methods Papadrakakis, M.