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Volumn 31, Issue 1-2 SPEC., 2003, Pages 49-59

Constrained dynamics of geometrically exact beams

Author keywords

Constrained mechanical systems; Energy momentum methods; Multibody systems; Nonlinear finite elements; Structural dynamics

Indexed keywords

ALGEBRA; BEAMS AND GIRDERS; DIFFERENTIAL EQUATIONS; FINITE ELEMENT METHOD; GEOMETRY; STRUCTURAL ANALYSIS;

EID: 0038495088     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-002-0392-1     Document Type: Article
Times cited : (66)

References (29)
  • 1
    • 0038548255 scopus 로고    scopus 로고
    • Personal communications
    • Bauchau OA Personal communications
    • Bauchau, O.A.1
  • 3
    • 0036815742 scopus 로고    scopus 로고
    • A DAE approach to flexible multibody dynamics
    • Betsch P, Steinmann P (2002) A DAE approach to flexible multibody dynamics. Multibody System Dynamics 8: 367-391
    • (2002) Multibody System Dynamics , vol.8 , pp. 367-391
    • Betsch, P.1    Steinmann, P.2
  • 4
    • 0034300622 scopus 로고    scopus 로고
    • Conservation properties of a time FE method. Part I: Time-stepping schemes for N-body problems
    • Betsch P, Steinmann P (2000) Conservation properties of a time FE method. Part I: Time-stepping schemes for N-body problems. Int. J. Numer. Meth. Eng. 49: 599-638
    • (2000) Int. J. Numer. Meth. Eng. , vol.49 , pp. 599-638
    • Betsch, P.1    Steinmann, P.2
  • 5
    • 0035045872 scopus 로고    scopus 로고
    • Conservation properties of a time FE method. Part II: Time-stepping schemes for nonlinear elastodynamics
    • Betsch P, Steinmann P (2001) Conservation properties of a time FE method. Part II: Time-stepping schemes for nonlinear elastodynamics. Int. J. Numer. Meth. Eng. 50: 1931-1955
    • (2001) Int. J. Numer. Meth. Eng. , vol.50 , pp. 1931-1955
    • Betsch, P.1    Steinmann, P.2
  • 7
    • 0037051754 scopus 로고    scopus 로고
    • Conservation properties of a time FE method. Part III: Mechanical systems with holonomic constraints
    • Betsch P, Steinmann P (2002) Conservation properties of a time FE method. Part III: Mechanical systems with holonomic constraints. Int. J. Numer. Meth. Eng. 53: 2271-2304
    • (2002) Int. J. Numer. Meth. Eng. , vol.53 , pp. 2271-2304
    • Betsch, P.1    Steinmann, P.2
  • 8
    • 0037199848 scopus 로고    scopus 로고
    • Frame-indifferent beam finite elements based upon the geometrically exact beam theory
    • Betsch P, Steinmann P (2002) Frame-indifferent beam finite elements based upon the geometrically exact beam theory, Int. J. Numer. Meth. Eng. 54: 1775-1788
    • (2002) Int. J. Numer. Meth. Eng. , vol.54 , pp. 1775-1788
    • Betsch, P.1    Steinmann, P.2
  • 10
    • 0024116484 scopus 로고
    • A beam finite element nonlinear theory with finite rotations
    • Cardona A, Géradin M (1988) A beam finite element nonlinear theory with finite rotations. Int. J. Numer. Meth. Eng. 26: 2403-2438
    • (1988) Int. J. Numer. Meth. Eng. , vol.26 , pp. 2403-2438
    • Cardona, A.1    Géradin, M.2
  • 11
    • 0003609373 scopus 로고    scopus 로고
    • Non-linear finite element analysis of solids and structures
    • John Wiley & Sons
    • Crisfield MA (1997) Non-linear Finite Element Analysis of Solids and Structures. Vol. 2: Advanced Topics. John Wiley & Sons
    • (1997) Vol 2: Advanced Topics
    • Crisfield, M.A.1
  • 12
    • 33746451257 scopus 로고    scopus 로고
    • Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
    • Crisfield MA, Jelenić G (1999) Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation. Proc. R. Soc. Lond. A 455: 1125-1147
    • (1999) Proc. R. Soc. Lond. A , vol.455 , pp. 1125-1147
    • Crisfield, M.A.1    Jelenić, G.2
  • 13
    • 0000115661 scopus 로고
    • On generalized Hamiltonian dynamics
    • Dirac PAM (1950) On generalized Hamiltonian dynamics. Can. J. Math. 2: 129-148
    • (1950) Can. J. Math. , vol.2 , pp. 129-148
    • Dirac, P.A.M.1
  • 14
    • 0003014117 scopus 로고    scopus 로고
    • Time integration and discrete Hamiltonian systems
    • Gonzalez O (1996) Time integration and discrete Hamiltonian systems. J. Nonlinear Sci. 6: 449-467
    • (1996) J. Nonlinear Sci. , vol.6 , pp. 449-467
    • Gonzalez, O.1
  • 16
    • 0032026641 scopus 로고    scopus 로고
    • Finite rotations in dynamics of beams and implicit time-stepping schemes
    • Ibrahimbegović A, Al Mikdad M (1998) Finite rotations in dynamics of beams and implicit time-stepping schemes. Int. J. Numer. Meth. Eng. 41: 781-814
    • (1998) Int. J. Numer. Meth. Eng. , vol.41 , pp. 781-814
    • Ibrahimbegović, A.1    Al Mikdad, M.2
  • 17
    • 0033849369 scopus 로고    scopus 로고
    • On rigid components and joint constraints in nonlinear dynamics of flexible multibody systems employing 3d geometrically exact beam model
    • Ibrahimbegović A, Mamouri S (2000) On rigid components and joint constraints in nonlinear dynamics of flexible multibody systems employing 3d geometrically exact beam model. Comput. Meth. Appl. Mech. Eng. 188: 805-831
    • (2000) Comput. Meth. Appl. Mech. Eng. , vol.188 , pp. 805-831
    • Ibrahimbegović, A.1    Mamouri, S.2
  • 18
    • 0030243365 scopus 로고    scopus 로고
    • Non-linear 'master-slave' relationships for joints in 3D beams with large rotations
    • Jelenić G, Crisfield MA (1996) Non-linear 'master-slave' relationships for joints in 3D beams with large rotations. Comput. Meth. Appl. Mech. Eng. 135: 211-228
    • (1996) Comput. Meth. Appl. Mech. Eng. , vol.135 , pp. 211-228
    • Jelenić, G.1    Crisfield, M.A.2
  • 19
    • 0032299057 scopus 로고    scopus 로고
    • Interpolation of rotational variables in nonlinear dynamics of 3D beams
    • Jelenić G, Crisfield MA (1998) Interpolation of rotational variables in nonlinear dynamics of 3D beams. Int. J. Numer. Meth. Eng. 43: 1193-1222
    • (1998) Int. J. Numer. Meth. Eng. , vol.43 , pp. 1193-1222
    • Jelenić, G.1    Crisfield, M.A.2
  • 20
    • 0032647649 scopus 로고    scopus 로고
    • Geometrically exact 3D beam theory: Implementation of a strain-invariant finite element for statics and dynamics
    • Jelenić G, Crisfield MA (1999) Geometrically exact 3D beam theory: implementation of a strain-invariant finite element for statics and dynamics. Comput. Meth. Appl. Mech. Eng. 171: 141-171
    • (1999) Comput. Meth. Appl. Mech. Eng. , vol.171 , pp. 141-171
    • Jelenić, G.1    Crisfield, M.A.2
  • 21
    • 0035843799 scopus 로고    scopus 로고
    • Dynamic analysis of 3D beams with joints in presence of large rotations
    • Jelenić G, Crisfield MA (2001) Dynamic analysis of 3D beams with joints in presence of large rotations. Comput. Meth. Appl. Mech. Eng. 190: 4195-4230
    • (2001) Comput. Meth. Appl. Mech. Eng. , vol.190 , pp. 4195-4230
    • Jelenić, G.1    Crisfield, M.A.2
  • 22
    • 0023456634 scopus 로고
    • Dynamics of earth-orbiting flexible satellites with multibody components
    • Vu-Quoc L, Simo JC (1987) Dynamics of earth-orbiting flexible satellites with multibody components. J. Guidance, Control and Dynamics 10(6): 549-558
    • (1987) J. Guidance, Control and Dynamics , vol.10 , Issue.6 , pp. 549-558
    • Vu-Quoc, L.1    Simo, J.C.2
  • 23
    • 0037199851 scopus 로고    scopus 로고
    • An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics
    • Romero I, Armero F (2002) An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum conserving scheme in dynamics. Int. J. Numer. Meth. Eng. 54: 1683-1716
    • (2002) Int. J. Numer. Meth. Eng. , vol.54 , pp. 1683-1716
    • Romero, I.1    Armero, F.2
  • 24
    • 0033426691 scopus 로고    scopus 로고
    • Numerical integration of constrained Hamiltonian systems using Dirac brackets
    • Seiler WM (1999) Numerical integration of constrained Hamiltonian systems using Dirac brackets. Math. Comput. 68(226): 661-681
    • (1999) Math. Comput. , vol.68 , Issue.226 , pp. 661-681
    • Seiler, W.M.1
  • 25
    • 0022060633 scopus 로고
    • A finite strain beam formulation. The three-dimensional dynamic problem. Part I
    • Simo JC (1985) A finite strain beam formulation. The three-dimensional dynamic problem. Part I. Comput. Meth. Appl. Mech. Eng. 49: 55-70
    • (1985) Comput. Meth. Appl. Mech. Eng. , vol.49 , pp. 55-70
    • Simo, J.C.1
  • 26
    • 0029305275 scopus 로고
    • Non-linear dynamics of three-dimensional rods: Exact energy and momentum conserving algorithms
    • Simo JC, Tarnow N, Doblare M (1995) Non-linear dynamics of three-dimensional rods: Exact energy and momentum conserving algorithms. Int. J. Numer. Meth. Eng. 38: 1431-1473
    • (1995) Int. J. Numer. Meth. Eng. , vol.38 , pp. 1431-1473
    • Simo, J.C.1    Tarnow, N.2    Doblare, M.3
  • 27
    • 0022792209 scopus 로고
    • A three-dimensional finite-strain rod model. Part II: Computational aspects
    • Simo JC, Vu-Quoc L (1986) A three-dimensional finite-strain rod model. Part II: Computational aspects. Comput. Meth. Appl. Mech. Eng. 58: 79-116
    • (1986) Comput. Meth. Appl. Mech. Eng. , vol.58 , pp. 79-116
    • Simo, J.C.1    Vu-Quoc, L.2
  • 28
    • 0023964748 scopus 로고
    • On the dynamics in space of rods undergoing large motions - a geometrically exact approach
    • Simo JC, Vu-Quoc L (1988) On the dynamics in space of rods undergoing large motions - A geometrically exact approach. Comput. Meth. Appl. Mech. Eng. 66: 125-161
    • (1988) Comput. Meth. Appl. Mech. Eng. , vol.66 , pp. 125-161
    • Simo, J.C.1    Vu-Quoc, L.2


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