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Volumn 59, Issue 5, 2004, Pages 669-702

Finite element of slender beams in finite transformations: A geometrically exact approach

Author keywords

Euler Bernoulli beam; Finite element; Geometrically exact; Non linear beam; Rayleigh beam

Indexed keywords

FINITE ELEMENT METHOD; GEOMETRY; MATHEMATICAL MODELS; SHEAR DEFORMATION; TORSIONAL STRESS;

EID: 0442327967     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.879     Document Type: Article
Times cited : (61)

References (23)
  • 1
    • 0022060633 scopus 로고
    • A finite strain beam formulation. The three-dimensional dynamic problem
    • Simo JC. A finite strain beam formulation. The three-dimensional dynamic problem. Part I. Computer Methods in Applied Mechanics and Engineering 1985; 49:55-70.
    • (1985) Computer Methods in Applied Mechanics and Engineering , vol.49 , Issue.PART 1 , pp. 55-70
    • Simo, J.C.1
  • 3
    • 0023964748 scopus 로고
    • On the dynamics in space of rods undergoing large motions - A geometrically exact approach
    • Simo JC, Vu-Quoc L. On the dynamics in space of rods undergoing large motions-a geometrically exact approach. Computer Methods in Applied Mechanics and Engineering 1988; 66:125-161.
    • (1988) Computer Methods in Applied Mechanics and Engineering , vol.66 , pp. 125-161
    • Simo, J.C.1    Vu-Quoc, L.2
  • 4
    • 0024619943 scopus 로고
    • On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization
    • Simo JC, Fox DD. On a stress resultant geometrically exact shell model. Part I: Formulation and optimal parametrization. Computer Methods in Applied Mechanics and Engineering 1989; 72:267-304.
    • (1989) Computer Methods in Applied Mechanics and Engineering , vol.72 , pp. 267-304
    • Simo, J.C.1    Fox, D.D.2
  • 5
    • 0025399242 scopus 로고
    • On a stress resultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory
    • Simo JC, Fox DD, Rifai MS. On a stress resultant geometrically exact shell model. Part III: Computational aspects of the nonlinear theory. Computer Methods in Applied Mechanics and Engineering 1990; 79:21-70.
    • (1990) Computer Methods in Applied Mechanics and Engineering , vol.79 , pp. 21-70
    • Simo, J.C.1    Fox, D.D.2    Rifai, M.S.3
  • 6
    • 0015632528 scopus 로고
    • On a one-dimensional large displacement finite-strain theory
    • Reissner E. On a one-dimensional large displacement finite-strain theory. Studies in Applied Mathematics 1973; 52:87-95.
    • (1973) Studies in Applied Mathematics , vol.52 , pp. 87-95
    • Reissner, E.1
  • 9
    • 0009687468 scopus 로고    scopus 로고
    • Dynamique et schémas d'intégration pour modèles de poutres géométriquement exacts
    • Al Mikdad M, Ibrahimbegovic A. Dynamique et schémas d'intégration pour modèles de poutres géométriquement exacts. Revue européenne des éléments finis 1997; 6(4):471-502.
    • (1997) Revue Européenne des éléments Finis , vol.6 , Issue.4 , pp. 471-502
    • Al Mikdad, M.1    Ibrahimbegovic, A.2
  • 12
    • 0025889111 scopus 로고
    • Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
    • Simo JC, Wong KK. Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum. International Journal for Numerical Methods in Engineering 1991; 31:19-52.
    • (1991) International Journal for Numerical Methods in Engineering , vol.31 , pp. 19-52
    • Simo, J.C.1    Wong, K.K.2
  • 16
    • 0030715127 scopus 로고    scopus 로고
    • Static and dynamic analysis of flexible beams: A consistent updated Lagrangian formulation
    • Behdinan K, Stylianou MC, Tabarrok B. Static and dynamic analysis of flexible beams: a consistent updated Lagrangian formulation. Transactions of the CSME 1997; 21(2):141-177.
    • (1997) Transactions of the CSME , vol.21 , Issue.2 , pp. 141-177
    • Behdinan, K.1    Stylianou, M.C.2    Tabarrok, B.3
  • 18
    • 0024136146 scopus 로고
    • Modélisation et calcul des grands déplacements de tuyaux élastiques en flexion-torsion
    • Bourgat JF, Le Tallec P, Mani S. Modélisation et calcul des grands déplacements de tuyaux élastiques en flexion-torsion. Journal de Mécanique théorique et appliquée 1988; 7(4):379-408.
    • (1988) Journal de Mécanique Théorique et Appliquée , vol.7 , Issue.4 , pp. 379-408
    • Bourgat, J.F.1    Le Tallec, P.2    Mani, S.3
  • 19
    • 0035924146 scopus 로고    scopus 로고
    • Stress resultant geometrically exact form of classical shell model and vector like parameterization of constrained finite rotations
    • Ibrahimbegovic A, Brank B, Courtois P. Stress resultant geometrically exact form of classical shell model and vector like parameterization of constrained finite rotations. International Journal for Numerical Methods in Engineering 2001; 52:1235-1252.
    • (2001) International Journal for Numerical Methods in Engineering , vol.52 , pp. 1235-1252
    • Ibrahimbegovic, A.1    Brank, B.2    Courtois, P.3
  • 23
    • 0011123774 scopus 로고
    • A sequel to: Non-linear finite element analysis of elastic systems under nonconservative loading - Natural formulation. Part I. Quasistatic problems
    • Argyris JH, Symeonidis Sp. A sequel to: non-linear finite element analysis of elastic systems under nonconservative loading-natural formulation. Part I. Quasistatic problems. Computer Methods in Applied Mechanics and Engineering 1981; 26:377-383.
    • (1981) Computer Methods in Applied Mechanics and Engineering , vol.26 , pp. 377-383
    • Argyris, J.H.1    Symeonidis, Sp.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.