메뉴 건너뛰기




Volumn 195, Issue 19-22, 2006, Pages 2334-2370

Co-rotational finite element formulation for thin-walled beams with generic open section

Author keywords

Buckling; Co rotational formulation; Geometric nonlinearity; Thin walled beam

Indexed keywords

BUCKLING; DEFORMATION; FINITE ELEMENT METHOD; ITERATIVE METHODS; MATHEMATICAL MODELS; STIFFNESS; STIFFNESS MATRIX; STRUCTURAL ANALYSIS;

EID: 33644582574     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.05.011     Document Type: Article
Times cited : (44)

References (56)
  • 1
    • 33644601211 scopus 로고
    • Measurements of torsional stiffness changes and instability due to tension, compression and bending
    • H.L. Engel J.N. Goodier Measurements of torsional stiffness changes and instability due to tension, compression and bending J. Appl. Mech. ASME 1953 553-560
    • (1953) J. Appl. Mech. ASME , pp. 553-560
    • Engel, H.L.1    Goodier, J.N.2
  • 2
    • 0343788864 scopus 로고
    • A nonlinear bending effect when certain unsymmetrical sections are subjected to a pure torque
    • M. Gregory A nonlinear bending effect when certain unsymmetrical sections are subjected to a pure torque Aust. J. Appl. Sci. 11 1960 33-48
    • (1960) Aust. J. Appl. Sci. , vol.11 , pp. 33-48
    • Gregory, M.1
  • 3
    • 0003661511 scopus 로고
    • second ed. (English translation published for US Science Foundation by Israel Program for Scientific Translations)
    • V.Z. Vlasov, Thin Walled Elastic Beams, second ed. (English translation published for US Science Foundation by Israel Program for Scientific Translations), 1961.
    • (1961) Thin Walled Elastic Beams
    • Vlasov, V.Z.1
  • 5
    • 84985326801 scopus 로고
    • Finite element analysis of torsional and torsional-flexural stability problems, moments
    • R.S. Barsoum R.H. Gallagher Finite element analysis of torsional and torsional-flexural stability problems, moments Int. J. Numer. Methods Engrg. 2 1970 335-352
    • (1970) Int. J. Numer. Methods Engrg. , vol.2 , pp. 335-352
    • Barsoum, R.S.1    Gallagher, R.H.2
  • 6
    • 0015285237 scopus 로고
    • Stability of monosymmetric beams and cantilevers
    • J.M. Anderson N.S. Trahair Stability of monosymmetric beams and cantilevers J. Struct. Div. ASCE 98 1972 269-286
    • (1972) J. Struct. Div. ASCE , vol.98 , pp. 269-286
    • Anderson, J.M.1    Trahair, N.S.2
  • 10
    • 0000633159 scopus 로고
    • On large displacement-small strain analysis of structures with rotation degree of freedom
    • J.H. Argyris P.C. Dunne D.W. Scharpf On large displacement-small strain analysis of structures with rotation degree of freedom Comput. Methods Appl. Mech. Engrg. 14 1978 401-451
    • (1978) Comput. Methods Appl. Mech. Engrg. , vol.14 , pp. 401-451
    • Argyris, J.H.1    Dunne, P.C.2    Scharpf, D.W.3
  • 15
    • 0342483685 scopus 로고
    • The elastic flexural-torsional response of thin-walled open beams
    • Ph.D. thesis, University of New South Wales, Australia
    • M.M. Attard, The elastic flexural-torsional response of thin-walled open beams, Ph.D. thesis, University of New South Wales, Australia, 1984.
    • (1984)
    • Attard, M.M.1
  • 16
    • 0022562202 scopus 로고
    • Lateral buckling analysis of beams by FEM
    • M.M. Attard Lateral buckling analysis of beams by FEM Comput. Struct. 23 1986 217-231
    • (1986) Comput. Struct. , vol.23 , pp. 217-231
    • Attard, M.M.1
  • 17
    • 0022792209 scopus 로고
    • A three-dimensional finite strain rod model. Part II: Computational aspects
    • J.C. Simo L. Vu-Quoc A three-dimensional finite strain rod model. Part II: Computational aspects Comput. Methods Appl. Mech. Engrg. 58 1986 79-116
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.58 , pp. 79-116
    • Simo, J.C.1    Vu-Quoc, L.2
  • 18
    • 0023439284 scopus 로고
    • Geometrically nonlinear analysis of asymmetrical thin-walled beam-columns
    • S.L. Chan S. Kitipornchai Geometrically nonlinear analysis of asymmetrical thin-walled beam-columns Engrg. Struct. 9 1987 243-254
    • (1987) Engrg. Struct. , vol.9 , pp. 243-254
    • Chan, S.L.1    Kitipornchai, S.2
  • 21
    • 0024116484 scopus 로고
    • A beam finite element non-linear theory with finite rotations
    • A. Cardona M. Geradin A beam finite element non-linear theory with finite rotations Int. J. Numer. Methods Engrg. 26 1988 2403-2438
    • (1988) Int. J. Numer. Methods Engrg. , vol.26 , pp. 2403-2438
    • Cardona, A.1    Geradin, M.2
  • 22
    • 34250088561 scopus 로고
    • On a consistent theory and variational formulation of finitely stretched and rotated 3-D spaced-curved beams
    • M. Iura S.N. Atluri On a consistent theory and variational formulation of finitely stretched and rotated 3-D spaced-curved beams Comput. Mech. 4 1989 73-88
    • (1989) Comput. Mech. , vol.4 , pp. 73-88
    • Iura, M.1    Atluri, S.N.2
  • 23
    • 0025468397 scopus 로고
    • A consistent co-rotational formulation for non-linear, three-dimensional, beam elements
    • M.A. Crisfield A consistent co-rotational formulation for non-linear, three-dimensional, beam elements Comput. Methods Appl. Mech. Engrg. 81 1990 131-150
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.81 , pp. 131-150
    • Crisfield, M.A.1
  • 24
    • 0026204406 scopus 로고
    • Thin-walled space frames, Part I: Large deformation analysis theory, and Part II: Algorithmic details and applications
    • H. Chen G.E. Blandford Thin-walled space frames, Part I: Large deformation analysis theory, and Part II: Algorithmic details and applications J. Struct. Engrg. ASCE 117 1991 2499-2539
    • (1991) J. Struct. Engrg. ASCE , vol.117 , pp. 2499-2539
    • Chen, H.1    Blandford, G.E.2
  • 25
    • 0026835436 scopus 로고
    • Corotational total Lagrangian formulation for three-dimensional beam element
    • K.M. Hsiao Corotational total Lagrangian formulation for three-dimensional beam element AIAA J. 30 1992 797-804
    • (1992) AIAA J. , vol.30 , pp. 797-804
    • Hsiao, K.M.1
  • 26
    • 0026946973 scopus 로고
    • Prebuckling deflections and lateral buckling: Part I: Theory and Part II: Application
    • Y.L. Pi N.S. Trahair Prebuckling deflections and lateral buckling: Part I: Theory and Aart II: application J. Struct. Engrg. ASCE 118 1992 2949-2985
    • (1992) J. Struct. Engrg. ASCE , vol.118 , pp. 2949-2985
    • Pi, Y.L.1    Trahair, N.S.2
  • 27
    • 0028338074 scopus 로고
    • Generalized mixed finite element model for pre- and post-quasistatic buckling response of thin-walled framed structures
    • A.S. Gendy A.F. Saleeb Generalized mixed finite element model for pre- and post-quasistatic buckling response of thin-walled framed structures Int. J. Numer. Methods Engrg. 37 1994 297-322
    • (1994) Int. J. Numer. Methods Engrg. , vol.37 , pp. 297-322
    • Gendy, A.S.1    Saleeb, A.F.2
  • 28
    • 0029251216 scopus 로고
    • An Eulerian approach to the large displacement analysis of thin-walled frames
    • B.A. Izzuddin An Eulerian approach to the large displacement analysis of thin-walled frames Proc. Inst. Civ. Engrs. Struct. Bldgs. 110 1995 50-65
    • (1995) Proc. Inst. Civ. Engrs. Struct. Bldgs. , vol.110 , pp. 50-65
    • Izzuddin, B.A.1
  • 29
    • 0029229937 scopus 로고
    • A kinematically exact space finite strain beam model-finite element formulation by generalized virtual work principle
    • G. Jelenic M. Saje A kinematically exact space finite strain beam model-finite element formulation by generalized virtual work principle Comput. Methods Appl. Mech. Engrg. 120 1995 131-161
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.120 , pp. 131-161
    • Jelenic, G.1    Saje, M.2
  • 30
    • 0003185609 scopus 로고    scopus 로고
    • Large-displacement analysis of elastoplastic thin-walled frames. Part I: Formulation and implementation and Part II: Verification and application
    • B.A. Izzuddin D.L. Smith Large-displacement analysis of elastoplastic thin-walled frames. Part I: Formulation and implementation and Part II: verification and application J. Struct. Engrg. ASCE 122 1996 905-925
    • (1996) J. Struct. Engrg. ASCE , vol.122 , pp. 905-925
    • Izzuddin, B.A.1    Smith, D.L.2
  • 31
    • 0030379932 scopus 로고    scopus 로고
    • On the role of geometrically exact and second-order theories in buckling and post-buckling analysis of three-dimensional beam structures
    • A. Ibrahimbegovic H. Shakourzadeh J.L. Batoz M.A. Mikdad Y.Q. Gao On the role of geometrically exact and second-order theories in buckling and post-buckling analysis of three-dimensional beam structures Comput. Struct. 61 1996 1101-1114
    • (1996) Comput. Struct. , vol.61 , pp. 1101-1114
    • Ibrahimbegovic, A.1    Shakourzadeh, H.2    Batoz, J.L.3    Mikdad, M.A.4    Gao, Y.Q.5
  • 33
    • 0004996845 scopus 로고    scopus 로고
    • Buckling analysis of elastic space rods under torsional moment
    • Y. Goto X.S. Li T. Kasugal Buckling analysis of elastic space rods under torsional moment J. Engrg. Mech. ASCE 122 1996 826-833
    • (1996) J. Engrg. Mech. ASCE , vol.122 , pp. 826-833
    • Goto, Y.1    Li, X.S.2    Kasugal, T.3
  • 34
    • 0001677098 scopus 로고    scopus 로고
    • A consistent finite element formulation for linear buckling analysis of spatial beams
    • K.M. Hsiao R.T. Yang W.Y. Lin A consistent finite element formulation for linear buckling analysis of spatial beams Comput. Methods Appl. Mech. Engrg. 156 1998 259-276
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.156 , pp. 259-276
    • Hsiao, K.M.1    Yang, R.T.2    Lin, W.Y.3
  • 35
    • 0032208124 scopus 로고    scopus 로고
    • Co-rotational and Lagrangian formulations for elastic three-dimensional beam finite elements
    • L.H. Teh M.J. Clarke Co-rotational and Lagrangian formulations for elastic three-dimensional beam finite elements J. Construct. Steel Res. 48 1998 123-144
    • (1998) J. Construct. Steel Res. , vol.48 , pp. 123-144
    • Teh, L.H.1    Clarke, M.J.2
  • 36
    • 0032119097 scopus 로고    scopus 로고
    • A geometrical nonlinear eccentric 3D-beam element with arbitrary cross-sections
    • F. Gruttmann R. Sauer W. Wagner A geometrical nonlinear eccentric 3D-beam element with arbitrary cross-sections Comput. Methods Appl. Mech. Engrg. 160 1998 383-400
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.160 , pp. 383-400
    • Gruttmann, F.1    Sauer, R.2    Wagner, W.3
  • 37
    • 0034227404 scopus 로고    scopus 로고
    • A co-rotational finite element formulation for buckling and postbuckling analysis of spatial beams
    • K.M. Hsiao W.Y. Lin A co-rotational finite element formulation for buckling and postbuckling analysis of spatial beams Comput. Methods Appl. Mech. Engrg. 188 2000 567-594
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.188 , pp. 567-594
    • Hsiao, K.M.1    Lin, W.Y.2
  • 38
    • 0035979619 scopus 로고    scopus 로고
    • Co-rotational formulation for geometric nonlinear analysis of doubly symmetric thin-walled beams
    • W.Y. Lin K.M. Hsiao Co-rotational formulation for geometric nonlinear analysis of doubly symmetric thin-walled beams Comput. Methods Appl. Mech. Engrg. 190 2001 6023-6052
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 6023-6052
    • Lin, W.Y.1    Hsiao, K.M.2
  • 39
    • 0034315607 scopus 로고    scopus 로고
    • A co-rotational formulation for thin-walled beams with monosymmetric open section
    • K.M. Hsiao W.Y. Lin A co-rotational formulation for thin-walled beams with monosymmetric open section Comput. Methods Appl. Mech. Engrg. 190 2000 1163-1185
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 1163-1185
    • Hsiao, K.M.1    Lin, W.Y.2
  • 40
    • 33644582630 scopus 로고    scopus 로고
    • Postbuckling analysis of nonsymmetric thin-walled frames, Part I: Theoretical considerations based on semitangential property, and Part II: Geometrically nonlinear FE procedure
    • M.Y. Kim S.P. Chang S.B. Kim Postbuckling analysis of nonsymmetric thin-walled frames, Part I: Theoretical considerations based on semitangential property, and Part II: Geometrically nonlinear FE procedure J. Engrg. Mech. ASCE 127 2001 769-790
    • (2001) J. Engrg. Mech. ASCE , vol.127 , pp. 769-790
    • Kim, M.Y.1    Chang, S.P.2    Kim, S.B.3
  • 41
    • 0037085997 scopus 로고    scopus 로고
    • Co-rotational beam elements with warping effects in instability problems
    • J.-M. Battin C. Pacoste Co-rotational beam elements with warping effects in instability problems Comput. Methods Appl. Mech. Engrg. 191 2002 1755-1789
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 1755-1789
    • Battin, J.-M.1    Pacoste, C.2
  • 42
    • 8344242182 scopus 로고    scopus 로고
    • A buckling and postbuckling analysis of rods under end torque and compressive load
    • W.Y. Lin K.M. Hsiao A buckling and postbuckling analysis of rods under end torque and compressive load Comput. Model. Engrg. Sci. 4 2003 259-271
    • (2003) Comput. Model. Engrg. Sci. , vol.4 , pp. 259-271
    • Lin, W.Y.1    Hsiao, K.M.2
  • 43
    • 0242456252 scopus 로고    scopus 로고
    • Finite element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measurements
    • D. Zupan M. Saje Finite element formulation of geometrically exact three-dimensional beam theories based on interpolation of strain measurements Comput. Methods Appl. Mech. Engrg. 192 2003 5209-5248
    • (2003) Comput. Methods Appl. Mech. Engrg. , vol.192 , pp. 5209-5248
    • Zupan, D.1    Saje, M.2
  • 44
    • 0005593417 scopus 로고
    • Total and updated Lagrangian forms of the co-rotational finite element formulation in geometrically and materially nonlinear analysis
    • C. Tailor E. Hinton D.R.J. Owen Pineridge Press Swansea, UK
    • K. Mattiasson A. Samuelsson Total and updated Lagrangian forms of the co-rotational finite element formulation in geometrically and materially nonlinear analysis C. Tailor E. Hinton D.R.J. Owen Numerical Methods for Non-linear Problems vol. 2 1984 Pineridge Press Swansea, UK 135-151
    • (1984) Numerical Methods for Non-linear Problems , vol.2 , pp. 135-151
    • Mattiasson, K.1    Samuelsson, A.2
  • 45
    • 0023596052 scopus 로고
    • The role of non-linear theories in transient dynamic analysis of flexible structures
    • J.C. Simo L. Vu-Quoc The role of non-linear theories in transient dynamic analysis of flexible structures J. Sound Vib. 119 1987 487-508
    • (1987) J. Sound Vib. , vol.119 , pp. 487-508
    • Simo, J.C.1    Vu-Quoc, L.2
  • 50
    • 0021312293 scopus 로고
    • Displacement dependent pressure loads in nonlinear finite element analysis
    • K.S. Schweizerhof E. Ramm Displacement dependent pressure loads in nonlinear finite element analysis Comput. Struct. 18 1984 1099-1114
    • (1984) Comput. Struct. , vol.18 , pp. 1099-1114
    • Schweizerhof, K.S.1    Ramm, E.2
  • 51
    • 38249029644 scopus 로고
    • The use of projectors to improve finite element performance
    • C.C. Rankin B. Nour-Omid The use of projectors to improve finite element performance Comput. Struct. 30 1988 257-267
    • (1988) Comput. Struct. , vol.30 , pp. 257-267
    • Rankin, C.C.1    Nour-Omid, B.2
  • 52
    • 0001490854 scopus 로고
    • Finite rotation analysis and consistent linearization using projectors
    • B. Nour-Omid C.C. Rankin Finite rotation analysis and consistent linearization using projectors Comput. Methods Appl. Mech. Engrg. 93 1991 353-384
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.93 , pp. 353-384
    • Nour-Omid, B.1    Rankin, C.C.2
  • 53
    • 0019262099 scopus 로고
    • A fast incremental/iterative solution procedure that handles 'snap through'
    • M.A. Crisfield A fast incremental/iterative solution procedure that handles 'snap through' Comput. Struct. 13 1981 55-62
    • (1981) Comput. Struct. , vol.13 , pp. 55-62
    • Crisfield, M.A.1
  • 54
    • 0001097870 scopus 로고
    • A motion process for large displacement analysis of spatial frames
    • K.M. Hsiao C.M. Tsay A motion process for large displacement analysis of spatial frames Int. J. Space Struct. 6 1991 133-139
    • (1991) Int. J. Space Struct. , vol.6 , pp. 133-139
    • Hsiao, K.M.1    Tsay, C.M.2
  • 55
    • 0016873984 scopus 로고
    • A new finite element scheme for instability analysis of thin shells
    • T. Matsui O. Matsuoka A new finite element scheme for instability analysis of thin shells Int. J. Numer. Methods Engrg. 10 1976 145-170
    • (1976) Int. J. Numer. Methods Engrg. , vol.10 , pp. 145-170
    • Matsui, T.1    Matsuoka, O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.