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Volumn 12, Issue , 2009, Pages 119-141

A nonlinear finite element framework for flexible multibody dynamics: Rotationless formulation and energy-momentum conserving discretization

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EID: 84963647480     PISSN: 18713033     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-1-4020-8829-2_7     Document Type: Conference Paper
Times cited : (8)

References (41)
  • 1
    • 0032739316 scopus 로고    scopus 로고
    • On the design of energy preserving and decaying schemes for flexible, nonlinear multi-body systems
    • Bauchau OA, Bottasso CL (1999) On the design of energy preserving and decaying schemes for flexible, nonlinear multi-body systems. Comput Meth Appl Mech Eng 169:61-79
    • (1999) Comput Meth Appl Mech Eng , vol.169 , pp. 61-79
    • Bauchau, O.A.1    Bottasso, C.L.2
  • 2
    • 0036860069 scopus 로고    scopus 로고
    • On the modeling of shells in multibody dynamics
    • Bauchau OA, Choi JY, Bottasso CL (2002) On the modeling of shells in multibody dynamics. Mult Syst Dyn 8:459-489
    • (2002) Mult Syst Dyn , vol.8 , pp. 459-489
    • Bauchau, O.A.1    Choi, J.Y.2    Bottasso, C.L.3
  • 4
    • 25444502638 scopus 로고    scopus 로고
    • The discrete null space method for the energy consistent integration of constrained mechanical systems. Part I: Holonomic constraints
    • Betsch P (2005) The discrete null space method for the energy consistent integration of constrained mechanical systems. Part I: Holonomic constraints. Comput Methods Appl Mech Eng 194(50-52):5159-5190
    • (2005) Comput Methods Appl Mech Eng , vol.194 , Issue.50-52 , pp. 5159-5190
    • Betsch, P.1
  • 5
    • 79956148679 scopus 로고    scopus 로고
    • Energy-momentum conserving schemes for frictionless dynamic contact problems. Part I: NTS method
    • Wriggers P, Nackenhorst U (eds). of IUTAM Bookseries, Springer
    • Betsch P, Hesch C (2007) Energy-momentum conserving schemes for frictionless dynamic contact problems. Part I: NTS method. In: Wriggers P, Nackenhorst U (eds) IUTAM Symposium on Computational Methods in Contact Mechanics. Volume 3 of IUTAM Bookseries, pp 77-96. Springer
    • (2007) IUTAM Symposium on Computational Methods in Contact Mechanics , vol.3 , pp. 77-96
    • Betsch, P.1    Hesch, C.2
  • 6
    • 33746166784 scopus 로고    scopus 로고
    • The discrete null space method for the energy consistent integration of constrained mechanical systems. Part II: Multibody dynamics
    • Betsch P, Leyendecker S (2006) The discrete null space method for the energy consistent integration of constrained mechanical systems. Part II: Multibody dynamics. Int J Numer Meth Eng 67(4):499-552
    • (2006) Int J Numer Meth Eng , vol.67 , Issue.4 , pp. 499-552
    • Betsch, P.1    Leyendecker, S.2
  • 7
    • 84963684184 scopus 로고    scopus 로고
    • On the use of geometrically exact shells in a conserving framework for flexible multibody dynamics
    • Betsch P, Sänger N (2007) On the use of geometrically exact shells in a conserving framework for flexible multibody dynamics. In preparation.
    • (2007) Preparation
    • Betsch, P.1    Sänger, N.2
  • 8
    • 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
  • 9
    • 0035941058 scopus 로고    scopus 로고
    • Constrained integration of rigid body dynamics
    • Betsch P, Steinmann P (2001) Constrained integration of rigid body dynamics. Comput Methods Appl Mech Eng 191:467-488
    • (2001) Comput Methods Appl Mech Eng , vol.191 , pp. 467-488
    • Betsch, P.1    Steinmann, P.2
  • 10
    • 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
  • 11
    • 0036815742 scopus 로고    scopus 로고
    • A DAE approach to flexible multibody dynamics
    • Betsch P, Steinmann P (2002) A DAE approach to flexible multibody dynamics. Mult Syst Dyn 8:367-391
    • (2002) Mult Syst Dyn , vol.8 , pp. 367-391
    • Betsch, P.1    Steinmann, P.2
  • 12
    • 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
  • 13
    • 33947699774 scopus 로고    scopus 로고
    • Energy-momentum conserving integration of multibody dynamics
    • Betsch P, Uhlar S (2007) Energy-momentum conserving integration of multibody dynamics. Mult Syst Dyn 17(4):243-289
    • (2007) Mult Syst Dyn , vol.17 , Issue.4 , pp. 243-289
    • Betsch, P.1    Uhlar, S.2
  • 14
    • 0000154406 scopus 로고    scopus 로고
    • Integration of elastic multibody systems by invariant conserving/dissipating algorithms. II. Numerical schemes and applications
    • Bottasso CL, Borri M, Trainelli L (2001) Integration of elastic multibody systems by invariant conserving/dissipating algorithms. II. Numerical schemes and applications. Comput Methods Appl Mech Eng 190:3701-3733
    • (2001) Comput Methods Appl Mech Eng , vol.190 , pp. 3701-3733
    • Bottasso, C.L.1    Borri, M.2    Trainelli, L.3
  • 16
    • 0037401739 scopus 로고    scopus 로고
    • Dynamics and time-stepping schemes for elastic shells undergoing finite rotations
    • Brank B, Korelc J, Ibrahimbegović A (2003) Dynamics and time-stepping schemes for elastic shells undergoing finite rotations. Comput & Struct 81(12): 1193-1210
    • (2003) Comput & Struct , vol.81 , Issue.12 , pp. 1193-1210
    • Brank, B.1    Korelc, J.2    Ibrahimbegović, A.3
  • 17
    • 0026839647 scopus 로고
    • Shell theory versus degeneration - A comparison in large rotation finite element analysis
    • Büchter N, Ramm E (1992) Shell theory versus degeneration - A comparison in large rotation finite element analysis. Int J Numer Methods Eng 34:39-59
    • (1992) Int J Numer Methods Eng , vol.34 , pp. 39-59
    • Büchter, N.1    Ramm, E.2
  • 19
    • 34250221087 scopus 로고    scopus 로고
    • Twenty-five years of natural coordinates
    • Garcïa de Jalón J (2007) Twenty-five years of natural coordinates. Mult Syst Dyn 18(1):15-33
    • (2007) Mult Syst Dyn , vol.18 , Issue.1 , pp. 15-33
    • Garcïa-De-Jalón, J.1
  • 21
    • 0033842299 scopus 로고    scopus 로고
    • Dynamic analysis of rigid and deformable multibody systems with penalty methods and energy-momentum schemes
    • Goicolea JM, Garcia Orden JC (2000) Dynamic analysis of rigid and deformable multibody systems with penalty methods and energy-momentum schemes. Comput Meth Appl Mech Eng 188:789-804
    • (2000) Comput Meth Appl Mech Eng , vol.188 , pp. 789-804
    • Goicolea, J.M.1    Garcia Orden, J.C.2
  • 22
    • 0008582162 scopus 로고    scopus 로고
    • Mechanical systems subject to holonomic constraints: Differential-algebraic formulations and conservative integration
    • Gonzalez O (1999) Mechanical systems subject to holonomic constraints: Differential-algebraic formulations and conservative integration. Physica D 132: 165-174
    • (1999) Physica D , vol.132 , pp. 165-174
    • Gonzalez, O.1
  • 23
    • 0030217555 scopus 로고    scopus 로고
    • On the stability of symplectic and energymomentum algorithms for non-linear Hamiltonian systems with symmetry
    • Gonzalez O, Simo JC (1996) On the stability of symplectic and energymomentum algorithms for non-linear Hamiltonian systems with symmetry. Comput Methods Appl Mech Eng 134:197-222
    • (1996) Comput Methods Appl Mech Eng , vol.134 , pp. 197-222
    • Gonzalez, O.1    Simo, J.C.2
  • 24
    • 23144464301 scopus 로고    scopus 로고
    • Analysis of flexible structures with occasionally rigid parts under transient loading
    • Göttlicher B, Schweizerhof K (2005) Analysis of flexible structures with occasionally rigid parts under transient loading. Comput & Struct 83:2035-2051
    • (2005) Comput & Struct , vol.83 , pp. 2035-2051
    • Göttlicher, B.1    Schweizerhof, K.2
  • 25
    • 0001722832 scopus 로고    scopus 로고
    • Finite element method in dynamics of flexible multibody systems: Modeling of holonomic constraints and energy conserving integration schemes
    • Ibrahimbegović A, Mamouri S, Taylor RL, Chen AJ (2000) Finite element method in dynamics of flexible multibody systems: Modeling of holonomic constraints and energy conserving integration schemes. Multy Syst Dyn 4(2-3): 195-223
    • (2000) Multy Syst Dyn , vol.4 , Issue.2-3 , pp. 195-223
    • Ibrahimbegović, A.1    Mamouri, S.2    Taylor, R.L.3    Chen, A.J.4
  • 26
    • 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 Methods Appl Mech Engrg 190:4195-4230
    • (2001) Comput Methods Appl Mech Engrg , vol.190 , pp. 4195-4230
    • Jelenić, G.1    Crisfield, M.A.2
  • 27
    • 0032671921 scopus 로고    scopus 로고
    • Generalized energy-momentum method for non-linear adaptive shell dynamics
    • Kuhl D, Ramm E (1999) Generalized energy-momentum method for non-linear adaptive shell dynamics. Comput Meth Appl Mech Eng 178:343-366
    • (1999) Comput Meth Appl Mech Eng , vol.178 , pp. 343-366
    • Kuhl, D.1    Ramm, E.2
  • 29
    • 38849155239 scopus 로고    scopus 로고
    • The discrete null space method for the energy consistent integration of constrained mechanical systems. Part III: Flexible multibody dynamics
    • Leyendecker S, Betsch P, Steinmann P (2008) The discrete null space method for the energy consistent integration of constrained mechanical systems. Part III: Flexible multibody dynamics. Mult Syst Dyn 19(1-2):45-72
    • (2008) Mult Syst Dyn , vol.19 , Issue.1-2 , pp. 45-72
    • Leyendecker, S.1    Betsch, P.2    Steinmann, P.3
  • 30
    • 0141676061 scopus 로고    scopus 로고
    • Master-slave approach for the modelling of joints with dependent degrees of freedom in flexible mechanisms
    • Muñoz J, Jelenić G, Crisfield MA (2003) Master-slave approach for the modelling of joints with dependent degrees of freedom in flexible mechanisms. Commun Numer Meth Eng 19:689-702
    • (2003) Commun Numer Meth Eng , vol.19 , pp. 689-702
    • Muñoz, J.1    Jelenić, G.2    Crisfield, M.A.3
  • 31
    • 0037186334 scopus 로고    scopus 로고
    • An energy and momentum conserving method for rigid-flexible body dynamics
    • Puso MA (2002) An energy and momentum conserving method for rigid-flexible body dynamics. Int J Numer Meth Eng 53:1393-1414
    • (2002) Int J Numer Meth Eng , vol.53 , pp. 1393-1414
    • Puso, M.A.1
  • 32
    • 5444266729 scopus 로고    scopus 로고
    • The interpolation of rotations and its application to finite element models of geometrically exact rods
    • Romero I (2004) The interpolation of rotations and its application to finite element models of geometrically exact rods. Comput Mech 34:121-133
    • (2004) Comput Mech , vol.34 , pp. 121-133
    • Romero, I.1
  • 33
    • 0037054973 scopus 로고    scopus 로고
    • Numerical integration of the stiff dynamics of geometrically exact shells: An energy-dissipative momentum-conserving scheme
    • Romero I, Armero F (2002) Numerical integration of the stiff dynamics of geometrically exact shells: An energy-dissipative momentum-conserving scheme. Int J Numer Meth Eng 54:1043-1086
    • (2002) Int J Numer Meth Eng , vol.54 , pp. 1043-1086
    • Romero, I.1    Armero, F.2
  • 34
    • 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
  • 36
    • 0036604701 scopus 로고    scopus 로고
    • An energy-momentum integration scheme and enhanced strain finite elements for the non-linear dynamics of shells
    • Sansour C, Wagner W, Wriggers P, Sansour J (2002) An energy-momentum integration scheme and enhanced strain finite elements for the non-linear dynamics of shells. Non-linear Mech 37:951-966
    • (2002) Non-linear Mech , vol.37 , pp. 951-966
    • Sansour, C.1    Wagner, W.2    Wriggers, P.3    Sansour, J.4
  • 37
    • 0026835633 scopus 로고
    • On a stress resultant geometrically exact shell model. Part VI: Conserving algorithms for non-linear dynamics
    • Simo JC, Rifai MS, Fox DD (1992) On a stress resultant geometrically exact shell model. Part VI: Conserving algorithms for non-linear dynamics. Int J Numer Meth Eng 34:117-164
    • (1992) Int J Numer Meth Eng , vol.34 , pp. 117-164
    • Simo, J.C.1    Rifai, M.S.2    Fox, D.D.3
  • 38
    • 34249830447 scopus 로고
    • The discretes energy-momentum method. Conserving algorithms for nonlinear elastodynamics
    • Simo J, Tarnow N (1992) The discretes energy-momentum method. Conserving algorithms for nonlinear elastodynamics. Z Angew Math Phys (ZAMP) 43:757-792
    • (1992) Z Angew Math Phys (ZAMP) , vol.43 , pp. 757-792
    • Simo, J.1    Tarnow, N.2
  • 39
    • 0028483709 scopus 로고
    • A new energy and momentum conserving algorithm for the nonlinear dynamics of shells
    • Simo JC, Tarnow N (1994) A new energy and momentum conserving algorithm for the nonlinear dynamics of shells. Int J Num Meth Eng 37:2527-2549
    • (1994) Int J Num Meth Eng , vol.37 , pp. 2527-2549
    • Simo, J.C.1    Tarnow, N.2
  • 40
    • 0002957889 scopus 로고    scopus 로고
    • Finite element analysis of rigid-flexible systems
    • Ambrósio JAC, Kleiber M (eds). of NATO Science Series: Computer & Systems Sciences, IOS Press, Amsterdam
    • Taylor RL (2001) Finite element analysis of rigid-flexible systems. In: Ambrósio JAC, Kleiber M (eds) Computational aspects of nonlinear structural systems with large rigid body motion. Volume 179 of NATO Science Series: Computer & Systems Sciences, pp 63-84. IOS Press, Amsterdam
    • (2001) Computational Aspects of Nonlinear Structural Systems with Large Rigid Body Motion , vol.179 , pp. 63-84
    • Taylor, R.L.1
  • 41
    • 65949103971 scopus 로고    scopus 로고
    • On the rotationless formulation of multibody dynamics and its conserving numerical integration
    • Bottasso CL, Masarati P, Trainelli L (eds), Politecnico di Milano, Milano
    • Uhlar S, Betsch P (2007) On the rotationless formulation of multibody dynamics and its conserving numerical integration. In: Bottasso CL, Masarati P, Trainelli L (eds) Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics, Politecnico di Milano, Milano
    • (2007) Proceedings of the ECCOMAS Thematic Conference on Multibody Dynamics
    • Uhlar, S.1    Betsch, P.2


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