-
1
-
-
0003835647
-
-
Springer, Berlin, New York
-
E. Hairer, C. Lubich, and G. Wanner, Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations (Springer, Berlin, New York, 2002).
-
(2002)
Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations
-
-
Hairer, E.1
Lubich, C.2
Wanner, G.3
-
2
-
-
84968499113
-
Symplectic integration of constrained Hamiltonian systems
-
B. Leimkuhler and S. Reich, Symplectic integration of constrained Hamiltonian systems, Math. Comput. 63, 589-605 (1994).
-
(1994)
Math. Comput
, vol.63
, pp. 589-605
-
-
Leimkuhler, B.1
Reich, S.2
-
3
-
-
0012000774
-
A sympletic integrator for Riemannian manifolds
-
B. Leimkuhler and G. W. Patrick, A sympletic integrator for Riemannian manifolds, J. Nonlinear Sci. 6(4), 367-384 (1996).
-
(1996)
J. Nonlinear Sci
, vol.6
, Issue.4
, pp. 367-384
-
-
Leimkuhler, B.1
Patrick, G.W.2
-
4
-
-
0000761544
-
Momentum conserving symplectic integrators
-
S. Reich, Momentum conserving symplectic integrators, Physica D 76(4), 375-383 (1994).
-
(1994)
Physica D
, vol.76
, Issue.4
, pp. 375-383
-
-
Reich, S.1
-
5
-
-
33646234930
-
Geometric integrators for odes
-
R. McLachlan and G. Quispel, Geometric integrators for odes, J. Phys. A 39(19), 5251-5286 (2006).
-
(2006)
J. Phys. A
, vol.39
, Issue.19
, pp. 5251-5286
-
-
McLachlan, R.1
Quispel, G.2
-
6
-
-
0034516803
-
Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems
-
C. Kane, J. Marsden, M. Ortiz, and M. West, Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems, Int. J. Numer. Methods Eng. 49, 1295-1325 (2000).
-
(2000)
Int. J. Numer. Methods Eng
, vol.49
, pp. 1295-1325
-
-
Kane, C.1
Marsden, J.2
Ortiz, M.3
West, M.4
-
7
-
-
0037934346
-
An overview of variational integrators
-
CIMNE, Barcelona, Spain
-
A. Lew, J. Marsden, M. Ortiz, and M. West, An overview of variational integrators, in: Finite Element Methods: 1970s and beyond (CIMNE, Barcelona, Spain, 2003), pp. 85-146.
-
(2003)
Finite Element Methods: 1970s and beyond
, pp. 85-146
-
-
Lew, A.1
Marsden, J.2
Ortiz, M.3
West, M.4
-
8
-
-
84959193128
-
Discrete mechanics and variational integrators
-
J. E. Marsden and M. West, Discrete mechanics and variational integrators, Acta Numer. 10, 357-514 (2001).
-
(2001)
Acta Numer
, vol.10
, pp. 357-514
-
-
Marsden, J.E.1
West, M.2
-
9
-
-
0031210701
-
Mechanical integrators derived from a discrete variational principle
-
J. Wendlandt and J. Marsden, Mechanical integrators derived from a discrete variational principle, Physica D 106, 223-246 (1997).
-
(1997)
Physica D
, vol.106
, pp. 223-246
-
-
Wendlandt, J.1
Marsden, J.2
-
10
-
-
25444502638
-
The discrete null space method for the energy consistent integration of constrained mechanical systems. Part I: Holonomic constraints
-
P. Betsch, 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).
-
(2005)
Comput. Methods Appl. Mech. Eng
, vol.194
, Issue.50-52
, pp. 5159-5190
-
-
Betsch, P.1
-
11
-
-
0002510376
-
Numerical solution of nonlinear differential equations with algebraic constraints II: Practical implications
-
L. Petzold and P. Loetstedt, Numerical solution of nonlinear differential equations with algebraic constraints II: Practical implications, SIAM J. Sci. Comput. 7(3), 720-733 (1986).
-
(1986)
SIAM J. Sci. Comput
, vol.7
, Issue.3
, pp. 720-733
-
-
Petzold, L.1
Loetstedt, P.2
-
12
-
-
0003466121
-
-
Springer, Berlin, New York
-
E. Hairer, C. Lubich, and M. Roche, The numerical solution of differential algebraic equations by Runge-Kutta methods (Springer, Berlin, New York, 1989).
-
(1989)
The numerical solution of differential algebraic equations by Runge-Kutta methods
-
-
Hairer, E.1
Lubich, C.2
Roche, M.3
-
13
-
-
3042698421
-
Energy-conserving integration of constrained Hamiltonian systems - a comparison of approaches
-
S. Leyendecker, P. Betsch, and P. Steinmann, Energy-conserving integration of constrained Hamiltonian systems - a comparison of approaches, Comput. Mech. 33, 174-185 (2004).
-
(2004)
Comput. Mech
, vol.33
, pp. 174-185
-
-
Leyendecker, S.1
Betsch, P.2
Steinmann, P.3
-
14
-
-
33746166784
-
The discrete null space method for the energy consistent integration of constrained mechanical systems. Part II: Multibody dynamics
-
P. Betsch and S. Leyendecker, The discrete null space method for the energy consistent integration of constrained mechanical systems. Part II: Multibody dynamics, Int. J. Numer. Methods Eng. 67(4), 499-552 (2006).
-
(2006)
Int. J. Numer. Methods Eng
, vol.67
, Issue.4
, pp. 499-552
-
-
Betsch, P.1
Leyendecker, S.2
-
16
-
-
38849155239
-
The discrete null space method for the energy consistent integration of constrained mechanical systems. Part III: Flexible multibody dynamics
-
DOI 10.1007/s11044-007-9056-4
-
S. Leyendecker, P. Betsch, and P. Steinmann, The discrete null space method for the energy consistent integration of constrained mechanical systems. Part III: Flexible multibody dynamics, Multibody Syst. Dyn. 19, 45-72 (2008), DOI 10.1007/s11044-007-9056-4.
-
(2008)
Multibody Syst. Dyn
, vol.19
, pp. 45-72
-
-
Leyendecker, S.1
Betsch, P.2
Steinmann, P.3
-
17
-
-
0003478133
-
-
Springer, New York
-
R. Abraham, J. Marsden, and T. Ratiu, Manifolds, Tensor Analysis, and Applications (Springer, New York, 1988).
-
(1988)
Manifolds, Tensor Analysis, and Applications
-
-
Abraham, R.1
Marsden, J.2
Ratiu, T.3
-
18
-
-
0025238246
-
The modeling of holonomic mechanical systems using a natural orthogonal complement
-
J. Angeles and S. Lee, The modeling of holonomic mechanical systems using a natural orthogonal complement, Trans. Can. Soc. Mech. Eng. 13(4), 81-89 (1989).
-
(1989)
Trans. Can. Soc. Mech. Eng
, vol.13
, Issue.4
, pp. 81-89
-
-
Angeles, J.1
Lee, S.2
-
20
-
-
0003014117
-
Time Integration and Discrete Hamiltonian Systems
-
O. Gonzalez, Time Integration and Discrete Hamiltonian Systems, J. Nonlinear Sci. 6, 449-467 (1996).
-
(1996)
J. Nonlinear Sci
, vol.6
, pp. 449-467
-
-
Gonzalez, O.1
-
21
-
-
0037051754
-
Conserving properties of a time FEmethod - Part III: Mechanical systems with holonomic constraints
-
P. Betsch and P. Steinmann, Conserving properties of a time FEmethod - Part III: Mechanical systems with holonomic constraints, Int. J. Numer. Methods Eng. 53, 2271-2304 (2002).
-
(2002)
Int. J. Numer. Methods Eng
, vol.53
, pp. 2271-2304
-
-
Betsch, P.1
Steinmann, P.2
-
24
-
-
84867951207
-
On the gamma-convergence of discrete dynamics and variational integrators
-
S. Müller and M. Ortiz, On the gamma-convergence of discrete dynamics and variational integrators, J. Nonlinear Sci. 14(4), 153-212 (2004).
-
(2004)
J. Nonlinear Sci
, vol.14
, Issue.4
, pp. 153-212
-
-
Müller, S.1
Ortiz, M.2
-
25
-
-
0037199848
-
Frame-indifferent beam finite elements based upon the geometrically exact beam theory
-
P. Betsch and P. Steinmann, Frame-indifferent beam finite elements based upon the geometrically exact beam theory, Int. J. Numer. Methods Eng. 54, 1775-1788 (2002).
-
(2002)
Int. J. Numer. Methods Eng
, vol.54
, pp. 1775-1788
-
-
Betsch, P.1
Steinmann, P.2
-
26
-
-
0038495088
-
Constrained dynamics of geometrically exact beams
-
P. Betsch and P. Steinmann, Constrained dynamics of geometrically exact beams, Comput. Mech. 31, 49-59 (2003).
-
(2003)
Comput. Mech
, vol.31
, pp. 49-59
-
-
Betsch, P.1
Steinmann, P.2
-
27
-
-
0008582162
-
Mechanical systems subject to holonomic constraints: Differential-algebraic formulations and conservative integration
-
O. Gonzalez, Mechanical systems subject to holonomic constraints: differential-algebraic formulations and conservative integration, Physica D 132, 165-174 (1999).
-
(1999)
Physica D
, vol.132
, pp. 165-174
-
-
Gonzalez, O.1
-
33
-
-
26844501382
-
Coordinate-free kinematic analysis of overconstrained mechanisms with mobility one
-
J. Lerbet, Coordinate-free kinematic analysis of overconstrained mechanisms with mobility one, Z. Angew. Math. Mech. 85(10), 740-747 (2005).
-
(2005)
Z. Angew. Math. Mech
, vol.85
, Issue.10
, pp. 740-747
-
-
Lerbet, J.1
-
34
-
-
4244083504
-
Differential-algebraische-Gleichungssysteme in mechanischen Mehrkörpersystemen
-
PhD thesis, Technische Universität München
-
C. Führer, Differential-algebraische-Gleichungssysteme in mechanischen Mehrkörpersystemen. Theorie, numerische Ansätze und Anwendungen, PhD thesis, Technische Universität München, 1988.
-
(1988)
Theorie, numerische Ansätze und Anwendungen
-
-
Führer, C.1
-
35
-
-
0022739057
-
QR decomposition for state space representation of constrained mechanical dynamic systems
-
S. Kim and M. Vanderploeg, QR decomposition for state space representation of constrained mechanical dynamic systems, J. Mech. Trans. Auto. Des. 108, 183-188 (1986).
-
(1986)
J. Mech. Trans. Auto. Des
, vol.108
, pp. 183-188
-
-
Kim, S.1
Vanderploeg, M.2
-
36
-
-
55449100650
-
-
E. Kreuzer, Symbolische Berechnung der Bewegungsgleichungen von Mehrkörpersystemen (Fortschrittsbericht der VDI Zeitschriften, Düsseldorf, 1979).
-
E. Kreuzer, Symbolische Berechnung der Bewegungsgleichungen von Mehrkörpersystemen (Fortschrittsbericht der VDI Zeitschriften, Düsseldorf, 1979).
-
-
-
-
37
-
-
55449126742
-
-
erw. Aufl, Verlag Freies Geistesleben, Stuttgart
-
P. Schatz, Rhythmusforschung und Technik, 2., erw. Aufl. (Verlag Freies Geistesleben, Stuttgart, 1998).
-
(1998)
Rhythmusforschung und Technik
, vol.2
-
-
Schatz, P.1
-
39
-
-
0037199851
-
An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum scheme in dynamics
-
I. Romero and F. Armero, An objective finite element approximation of the kinematics of geometrically exact rods and its use in the formulation of an energy-momentum scheme in dynamics, Int. J. Numer. Methods Eng. 54, 1683-1716 (2002).
-
(2002)
Int. J. Numer. Methods Eng
, vol.54
, pp. 1683-1716
-
-
Romero, I.1
Armero, F.2
-
41
-
-
0032299057
-
Interpolation of rotational variables in non-linear dynamics of 3d beams
-
G. Jelenić and M. Crisfield, Interpolation of rotational variables in non-linear dynamics of 3d beams, Int. J. Numer. Methods Eng. 43, 1193-1222 (1998).
-
(1998)
Int. J. Numer. Methods Eng
, vol.43
, pp. 1193-1222
-
-
Jelenić, G.1
Crisfield, M.2
-
42
-
-
0032026641
-
Finite rotations in dynamics of beams and implicit time-stepping schemes
-
A. Ibrahimbegović and S. Mamouri, Finite rotations in dynamics of beams and implicit time-stepping schemes, Int. J. Numer. Methods Eng. 41, 781-814 (1998).
-
(1998)
Int. J. Numer. Methods Eng
, vol.41
, pp. 781-814
-
-
Ibrahimbegović, A.1
Mamouri, S.2
-
43
-
-
33746451257
-
Objectivity of strain measures in the geometrically exact three-dimensional beam theory and its finite-element implementation
-
M. Crisfield and G. Jelenić, 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).
-
(1999)
Proc. R. Soc. Lond. A
, vol.455
, pp. 1125-1147
-
-
Crisfield, M.1
Jelenić, G.2
-
44
-
-
0023964748
-
On the dynamics in space of rods undergoing large motions - A geometrically exact approach
-
J. Simo and L. Vu-Quoc, On the dynamics in space of rods undergoing large motions - A geometrically exact approach, Comput. Methods Appl. Mech. Eng. 66, 125-161 (1988).
-
(1988)
Comput. Methods Appl. Mech. Eng
, vol.66
, pp. 125-161
-
-
Simo, J.1
Vu-Quoc, L.2
-
45
-
-
0032647649
-
Geometrically exact 3d beam theory: Implementation of a strain-invariant finite element for statics and dynamics
-
G. Jelenić and M. Crisfield, Geometrically exact 3d beam theory: implementation of a strain-invariant finite element for statics and dynamics, Comput. Methods Appl. Mech. Eng. 171, 141-171 (1999).
-
(1999)
Comput. Methods Appl. Mech. Eng
, vol.171
, pp. 141-171
-
-
Jelenić, G.1
Crisfield, M.2
-
46
-
-
33644591129
-
Objective energy-momentum conserving integration for the constrained dynamics of geometrically exact beams
-
S. Leyendecker, P. Betsch, and P. Steinmann, Objective energy-momentum conserving integration for the constrained dynamics of geometrically exact beams, Comput. Methods Appl. Mech. Eng. 195, 2313-2333 (2006).
-
(2006)
Comput. Methods Appl. Mech. Eng
, vol.195
, pp. 2313-2333
-
-
Leyendecker, S.1
Betsch, P.2
Steinmann, P.3
-
47
-
-
0029359498
-
Numerical integration of non-linear elastic multibody systems
-
O. Bauchau, G. Damilano, and N. Theron, Numerical integration of non-linear elastic multibody systems, Int. J. Numer. Methods Eng. 38, 2727-2751 (1995).
-
(1995)
Int. J. Numer. Methods Eng
, vol.38
, pp. 2727-2751
-
-
Bauchau, O.1
Damilano, G.2
Theron, N.3
-
48
-
-
0037119515
-
Energy consering/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations
-
A. Ibrahimbegović and S. Mamouri, Energy consering/decaying implicit time-stepping scheme for nonlinear dynamics of three-dimensional beams undergoing finite rotations, Comput. Methods Appl. Mech. Eng. 191, 4241-4258 (2002).
-
(2002)
Comput. Methods Appl. Mech. Eng
, vol.191
, pp. 4241-4258
-
-
Ibrahimbegović, A.1
Mamouri, S.2
-
49
-
-
0027886658
-
Assessment of Energy-Momentum and Symplectic Schemes for Stiff Dynamical Systems
-
American Society of Mechanical Engineers, New Orleans, Louisiana
-
J. C. Simo and O. Gonzalez, Assessment of Energy-Momentum and Symplectic Schemes for Stiff Dynamical Systems, in: Proceedings of the ASME Winter Annual Meeting (American Society of Mechanical Engineers, New Orleans, Louisiana, 1993).
-
(1993)
Proceedings of the ASME Winter Annual Meeting
-
-
Simo, J.C.1
Gonzalez, O.2
-
50
-
-
0037934346
-
Asynchronous variational integrators
-
A. Lew, J. Marsden, M. Ortiz, and M. West, Asynchronous variational integrators, Arch. Rat. Mech. Anal. 167, 85-146 (2003).
-
(2003)
Arch. Rat. Mech. Anal
, vol.167
, pp. 85-146
-
-
Lew, A.1
Marsden, J.2
Ortiz, M.3
West, M.4
-
51
-
-
2342483048
-
Variational time integrators
-
A. Lew, J. Marsden, M. Ortiz, and M. West, Variational time integrators, Int. J. Numer. Methods Eng. 60, 153-212 (2004).
-
(2004)
Int. J. Numer. Methods Eng
, vol.60
, pp. 153-212
-
-
Lew, A.1
Marsden, J.2
Ortiz, M.3
West, M.4
|