On the Stabilizing Properties of Energy-Momentum Integrators and Coordinate Projections for Constrained Mechanical Systems
暂无分享,去创建一个
[1] Javier García de Jalón,et al. Kinematic and Dynamic Simulation of Multibody Systems , 1994 .
[2] E. Haug,et al. Generalized Coordinate Partitioning for Dimension Reduction in Analysis of Constrained Dynamic Systems , 1982 .
[3] M. Borri,et al. The Embedded Projection Method : A general index reduction procedure for constrained system dynamics , 2006 .
[4] M. A. Serna,et al. Dynamic analysis of plane mechanisms with lower pairs in basic coordinates , 1982 .
[5] José M. Goicolea,et al. An energy-momentum algorithm for flexible multibody systems with finite element techniques , 2001 .
[6] José M. Goicolea,et al. Conserving Properties in Constrained Dynamics of Flexible Multibody Systems , 2000 .
[7] J. C. Simo,et al. The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics , 1992 .
[8] J. C. Simo,et al. On the stability of symplectic and energy-momentum algorithms for non-linear Hamiltonian systems with symmetry , 1996 .
[9] João Folgado,et al. III European Conference on Computational Mechanics , 2006 .
[10] A. R. Humphries,et al. Dynamical Systems And Numerical Analysis , 1996 .
[11] Michael Ortiz,et al. A note on energy conservation and stability of nonlinear time-stepping algorithms , 1986 .
[12] E. Hairer,et al. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems , 2010 .
[13] D. Dopico,et al. Penalty, Semi-Recursive and Hybrid Methods for MBS Real-Time Dynamics in the Context of Structural Integrators , 2004 .
[14] Peter Wriggers,et al. Computational Contact Mechanics , 2002 .
[15] R. Ledesma,et al. Augmented lagrangian and mass-orthogonal projection methods for constrained multibody dynamics , 1996 .
[16] J. M. Goicolea,et al. Dynamic analysis of rigid and deformable multibody systems with penalty methods and energy-momentum schemes , 2000 .
[17] J. Baumgarte. Stabilization of constraints and integrals of motion in dynamical systems , 1972 .
[18] Javier Cuadrado,et al. Intelligent Simulation of Multibody Dynamics: Space-State and Descriptor Methods in Sequential and Parallel Computing Environments , 2000 .
[19] E. Bayo,et al. Singularity-free augmented Lagrangian algorithms for constrained multibody dynamics , 1994, Nonlinear Dynamics.
[20] Dimitri P. Bertsekas,et al. Nonlinear Programming , 1997 .
[21] A. Faruqui. The real-time challenge , 2001 .
[22] T. Laursen. Computational Contact and Impact Mechanics: Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis , 2002 .
[23] T. Laursen. Computational Contact and Impact Mechanics , 2003 .
[24] M. A. Serna,et al. A modified Lagrangian formulation for the dynamic analysis of constrained mechanical systems , 1988 .
[25] J. C. Simo,et al. Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum , 1991 .
[26] Uri M. Ascher,et al. Stabilization of invariants of discretized differential systems , 1997, Numerical Algorithms.
[27] José M. Goicolea,et al. Quadratic and Higher-Order Constraints in Energy-Conserving Formulations of Flexible Multibody Systems , 2002 .
[28] Javier García de Jalón,et al. Kinematic and Dynamic Simulation of Multibody Systems: The Real Time Challenge , 1994 .
[29] C. SimoJ.,et al. The discrete energy-momentum method , 1992 .
[30] Juan C. García Orden,et al. A Conservative Augmented Lagrangian Algorithm for the Dynamics of Constrained Mechanical Systems , 2006 .