메뉴 건너뛰기




Volumn 9, Issue 11, 2008, Pages 1480-1489

A co-rotational updated Lagrangian formulation for a 2D beam element with consideration of the deformed curvature

Author keywords

Beam element; Deformed curvature; Finite element; Geometrical no linearity; Updated Lagrangian (UL) formulation

Indexed keywords

LAGRANGE MULTIPLIERS; NONLINEAR ANALYSIS; STIFFNESS;

EID: 55849140200     PISSN: 1673565X     EISSN: 18621775     Source Type: Journal    
DOI: 10.1631/jzus.A0820041     Document Type: Article
Times cited : (4)

References (21)
  • 3
    • 0003258887 scopus 로고
    • Non-linear Finite Element Analysis of Solids and Structures
    • Wiley Chichester
    • Crisfield, M.A., 1991. Non-linear Finite Element Analysis of Solids and Structures, vol. 1: Essentials. Wiley, Chichester.
    • (1991) Essentials
    • Crisfield, M.A.1
  • 5
    • 0023209396 scopus 로고
    • Nonlinear finite element analysis of elastic frames
    • 4
    • K.M. Hsiao F.Y. Hou 1987 Nonlinear finite element analysis of elastic frames Computers and Structures 26 4 693 701
    • (1987) Computers and Structures , vol.26 , pp. 693-701
    • Hsiao, K.M.1    Hou, F.Y.2
  • 6
    • 0032755324 scopus 로고    scopus 로고
    • A consistent co-rotational finite element formulation for geometrically nonlinear dynamic analysis of 3-D beams
    • 1-2
    • K.M. Hsiao J.Y. Lin W.Y. Lin 1999 A consistent co-rotational finite element formulation for geometrically nonlinear dynamic analysis of 3-D beams Computer Methods in Applied Mechanics and Engineering 169 1-2 1 18
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.169 , pp. 1-18
    • Hsiao, K.M.1    Lin, J.Y.2    Lin, W.Y.3
  • 7
    • 0000608439 scopus 로고    scopus 로고
    • Quartic formulation for elastic beam-columns subject to thermal effects
    • 9
    • B.A. Izzuddin 1996 Quartic formulation for elastic beam-columns subject to thermal effects Journal of Engineering Mechanics 122 9 861 871
    • (1996) Journal of Engineering Mechanics , vol.122 , pp. 861-871
    • Izzuddin, B.A.1
  • 8
    • 0035930908 scopus 로고    scopus 로고
    • Conceptual issues in geometrically nonlinear analysis of 3D framed structures
    • 8-10
    • B.A. Izzuddin 2001 Conceptual issues in geometrically nonlinear analysis of 3D framed structures Computer Methods in Applied Mechanics and Engineering 191 8-10 1029 1053
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 1029-1053
    • Izzuddin, B.A.1
  • 9
    • 0021596773 scopus 로고
    • Geometrically nonlinear analysis of space frames by an incremental iterative technique
    • 3
    • J.L. Meek T. Hoon Swee 1984 Geometrically nonlinear analysis of space frames by an incremental iterative technique Computer Methods in Applied Mechanics and Engineering 47 3 261 282
    • (1984) Computer Methods in Applied Mechanics and Engineering , vol.47 , pp. 261-282
    • Meek, J.L.1    Hoon Swee, T.2
  • 11
    • 0032118694 scopus 로고    scopus 로고
    • Non-linear buckling and postbuckling of elastic arches
    • 7
    • Y.L. Pi N.S. Trahair 1998 Non-linear buckling and postbuckling of elastic arches Engineering Structures 20 7 571 579
    • (1998) Engineering Structures , vol.20 , pp. 571-579
    • Pi, Y.L.1    Trahair, N.S.2
  • 13
    • 0026818668 scopus 로고
    • Effective modelling of spatial buckling of beam assemblages, accounting for warping constraints and rotation-dependency of moments
    • 3
    • A.F. Saleeb T.Y.P. Chang A.S. Gendy 1992 Effective modelling of spatial buckling of beam assemblages, accounting for warping constraints and rotation-dependency of moments International Journal for Numerical Methods in Engineering 33 3 469 502
    • (1992) International Journal for Numerical Methods in Engineering , vol.33 , pp. 469-502
    • Saleeb, A.F.1    Chang, T.Y.P.2    Gendy, A.S.3
  • 14
    • 0020101847 scopus 로고
    • Membrane locking and reduced integration for curved elements
    • 1
    • H. Stolarski T. Belytschko 1982 Membrane locking and reduced integration for curved elements Journal of Applied Mechanics 49 1 172 176
    • (1982) Journal of Applied Mechanics , vol.49 , pp. 172-176
    • Stolarski, H.1    Belytschko, T.2
  • 15
    • 0032208124 scopus 로고    scopus 로고
    • Co-rotational and Lagrangian formulations for elastic three-dimensional beam finite elements
    • 2-3
    • L.H. Teh M.J. Clarke 1998 Co-rotational and Lagrangian formulations for elastic three-dimensional beam finite elements Journal of Constructional Steel Research 48 2-3 123 144
    • (1998) Journal of Constructional Steel Research , vol.48 , pp. 123-144
    • Teh, L.H.1    Clarke, M.J.2
  • 16
    • 85163200370 scopus 로고
    • Some considerations on a naturally curved and twisted slender beam
    • 2
    • K. Washizu 1964 Some considerations on a naturally curved and twisted slender beam Journal of Mathematics and Physics 43 2 111 116
    • (1964) Journal of Mathematics and Physics , vol.43 , pp. 111-116
    • Washizu, K.1
  • 18
    • 0000162391 scopus 로고
    • An approach to the non-linear behaviour of the members of a rigid jointed plane framework with finite deflections
    • 4
    • F.W. Williams 1964 An approach to the non-linear behaviour of the members of a rigid jointed plane framework with finite deflections The Quarterly Journal of Mechanics and Applied Mathematics 17 4 451 469
    • (1964) The Quarterly Journal of Mechanics and Applied Mathematics , vol.17 , pp. 451-469
    • Williams, F.W.1
  • 19
    • 0022702940 scopus 로고
    • Stiffness matrix for geometric nonlinear analysis
    • 4
    • Y.B. Yang W. [tmp] McGuire 1986 Stiffness matrix for geometric nonlinear analysis Journal of Structural Engineering 112 4 853 877
    • (1986) Journal of Structural Engineering , vol.112 , pp. 853-877
    • Yang, Y.B.1    McGuire, W.2
  • 20
    • 13444251417 scopus 로고    scopus 로고
    • Recent developments in geometrically nonlinear and postbuckling analysis of framed structures
    • 4
    • Y.B. Yang J.D. Yau L.J. Leu 2003 Recent developments in geometrically nonlinear and postbuckling analysis of framed structures Applied Mechanics Reviews 56 4 431 449
    • (2003) Applied Mechanics Reviews , vol.56 , pp. 431-449
    • Yang, Y.B.1    Yau, J.D.2    Leu, L.J.3
  • 21
    • 34247481553 scopus 로고    scopus 로고
    • Solution strategy and rigid element for nonlinear analysis of elastically structures based on updated Lagrangian formulation
    • 6
    • Y.B. Yang S.P. Lin L.J. Leu 2007 Solution strategy and rigid element for nonlinear analysis of elastically structures based on updated Lagrangian formulation Engineering Structures 29 6 1189 1200
    • (2007) Engineering Structures , vol.29 , pp. 1189-1200
    • Yang, Y.B.1    Lin, S.P.2    Leu, L.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.